[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: high
Target surface form: higher
Context:
+ - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a <t>higher</t> priority. abc(params): When the parser finds a function, it checks if abc is an operator.

Candidate senses:
1. sense_key=high%3:00:02:: | definition=greater than normal in degree or intensity or amount | examples=a high temperature; a high price
2. sense_key=high%3:00:01:: | definition=(literal meaning) being at or having a relatively great or specific elevation or upward extension (sometimes used in combinations like `knee-high') | examples=a high mountain; high ceilings
3. sense_key=high%5:00:00:superior:01 | definition=standing above others in quality or position | synonyms=eminent | examples=people in high places; the high priest
4. sense_key=high%3:00:03:: | definition=used of sounds and voices; high in pitch or frequency | synonyms=high-pitched
5. sense_key=high%5:00:00:elated:00 | definition=happy and excited and energetic | synonyms=in high spirits
6. sense_key=high%5:00:00:malodorous:00 | definition=(used of the smell of meat) smelling spoiled or tainted | synonyms=gamey, gamy
7. sense_key=high%5:00:00:intoxicated:00 | definition=slightly and pleasantly intoxicated from alcohol or a drug (especially marijuana) | synonyms=mellow

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The user wants me to disambiguate the word "higher" in the given context. Let me analyze the context carefully.

Context: "(): It is used to specify a <t>higher</t> priority."

This is about mathematical/programming syntax. The parentheses are used to specify a higher priority. So in terms of operations, parentheses give something priority over other operations.

Candidate senses:
1. greater than normal in degree or intensity or amount - "a higher priority" could fit here? greater than normal priority
2. literal meaning - elevation/upward extension - doesn't really fit priority
3. standing above others in quality or position - "high priority" could metaphorically relate to standing above others
4. high in pitch - no
5. elated - no
6. malodorous - no
7. intoxicated - no

Now between sense 1 and sense 3.

The phrase "higher priority" means greater priority, more important. Priority can be seen as a degree or intensity - sense 1. It can also be seen as position/quality - sense 3.

However, "priority" isn't really about quality or position in a hierarchy of people. Sense 3 examples: "people in high places; the high priest" - this is about rank/eminence/status. "Higher priority" is about degree/importance, not about rank/position of people.

Actually, "higher priority" means a greater degree of priority/importance. This maps to sense 1: greater than normal in degree or intensity or amount.

"High priority" as a phrase means the priority level is high (degree). So the answer should be sense 1.

Let me double-check: Could it be sense 3? "standing above others in quality or position" - if we consider priorities standing above each other, but priorities don't have "quality" or "position" in the WordNet sense. WordNet sense 3 seems to be about social/professional rank (high priest, high places).

Sense 1: "greater than normal in degree or intensity or amount" - examples "high temperature", "high price". Priority is like temperature or price - a scalar quantity/degree. "Higher priority" = greater degree of priority.

So sense 1 is best.


attempt_kind: initial

status: success

[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: priority
Target surface form: priority
Context:
+ - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher <t>priority</t>. abc(params): When the parser finds a function, it checks if abc is an operator.

Candidate senses:
1. sense_key=priority%1:26:00:: | definition=status established in order of importance or urgency | synonyms=precedence, precedency | examples=...its precedence as the world's leading manufacturer of pharmaceuticals; national independence takes priority over class struggle
2. sense_key=priority%1:07:00:: | definition=preceding in time | synonyms=antecedence, antecedency, anteriority, precedence, precedency

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

finish_reason: stop

role: assistant

reasoning_content:
 We need perform WordSense disambiguation for 'priority' in context about syntax or operator precedence in a parser/grammar. Candidates: 1. priority%1:26:00:: status established in order of importance or urgency, synonyms precedence. 2. priority%1:07:00:: preceding in time, synonyms antecedence. The context: "(): It is used to specify a higher <t>priority</t>. abc(params): When the parser finds a function, it checks if abc is an operator." This is about operator precedence/priority, ordering of operations. Sense 1 (status/order/importance) with precedence. Sense 2 is temporal priority. The phrase "higher priority" in computing means operations ordered by precedence; sense 1. So answer index 1.
Need return JSON only.

format: unknown

native_finish_reason: stop

provider: Ambient

currency: USD


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: find
Target surface form: finds
Context:
^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser <t>finds</t> a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.

Candidate senses:
1. sense_key=find%2:40:02:: | definition=come upon, as if by accident; meet with | synonyms=happen, chance, bump, encounter | examples=We find this idea in Plato; I happened upon the most wonderful bakery not very far from here
2. sense_key=find%2:39:02:: | definition=discover or determine the existence, presence, or fact of | synonyms=detect, observe, discover, notice | examples=She detected high levels of lead in her drinking water; We found traces of lead in the paint
3. sense_key=find%2:40:00:: | definition=come upon after searching; find the location of something that was missed or lost | synonyms=regain | examples=Did you find your glasses?; I cannot find my gloves!
4. sense_key=find%2:32:00:: | definition=establish after a calculation, investigation, experiment, survey, or study | synonyms=determine, find out, ascertain | examples=find the product of two numbers; The physicist who found the elusive particle won the Nobel Prize
5. sense_key=find%2:31:10:: | definition=come to believe on the basis of emotion, intuitions, or indefinite grounds | synonyms=feel | examples=I feel that he doesn't like me; I find him to be obnoxious
6. sense_key=find%2:39:01:: | definition=perceive or be contemporaneous with | synonyms=witness, see | examples=We found Republicans winning the offices; You'll see a lot of cheating in this school
7. sense_key=find%2:40:01:: | definition=get something or somebody for a specific purpose | synonyms=line up, get hold, come up | examples=I found this gadget that will serve as a bottle opener; I got hold of these tools to fix our plumbing
8. sense_key=find%2:36:00:: | definition=make a discovery, make a new finding | synonyms=discover | examples=Roentgen discovered X-rays; Physicists believe they found a new elementary particle
9. sense_key=find%2:31:09:: | definition=make a discovery | synonyms=discover | examples=She found that he had lied to her; The story is false, so far as I can discover
10. sense_key=find%2:40:03:: | definition=obtain through effort or management | examples=She found the time and energy to take care of her aging parents; We found the money to send our sons to college
11. sense_key=find%2:32:01:: | definition=decide on and make a declaration about | synonyms=rule | examples=find someone guilty
12. sense_key=find%2:30:00:: | definition=receive a specified treatment (abstract) | synonyms=receive, get, obtain, incur | examples=These aspects of civilization do not find expression or receive an interpretation; His movie received a good review
13. sense_key=find%2:39:05:: | definition=perceive oneself to be in a certain condition or place | examples=I found myself in a difficult situation; When he woke up, he found himself in a hospital room
14. sense_key=find%2:40:15:: | definition=get or find back; recover the use of | synonyms=recover, retrieve, regain | examples=She regained control of herself; She found her voice and replied quickly
15. sense_key=find%2:38:10:: | definition=succeed in reaching; arrive at | examples=The arrow found its mark
16. sense_key=find%2:30:13:: | definition=accept and make use of one's personality, abilities, and situation | synonyms=find oneself | examples=My son went to Berkeley to find himself

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
We need do WSD for target lemma find, surface finds, in sentence about parser finding a function. Need choose best indexed sense among listed candidates. Need output JSON only {"sense_index": ...}. Let's analyze.

Context: "When the parser finds a function, it checks if abc is an operator." Parser detects/recognizes a function token. Which sense? Candidate senses:

1. come upon, as if by accident; meet with.
2. discover or determine the existence, presence, or fact of; detect, observe, discover, notice. Example She detected high levels; We found traces.
3. come upon after searching; find location of something lost.
4. establish after calculation/investigation/... find product of two numbers; physicist found particle. This is "determine" more intellectual.
5. come to believe on basis of emotion.
6. perceive or be contemporaneous with.
7. get something or somebody for a specific purpose.
8. make a discovery, make a new finding (scientific).
9. make a discovery (she found that he had lied). This is "learn" a fact (mental discovery).
10. obtain through effort/management.
11. decide on and make declaration about.
12. receive a specified treatment.
13. perceive oneself to be.
14. recover.
15. succeed in reaching; arrive at.
16. find oneself.

In parser context, it identifies/detects a function. This aligns with sense 2: "discover or determine the existence, presence, or fact of" (detect, observe, notice). The parser detects that token is a function. Not "come upon after searching" because not lost. Not establish by calculation because not computing. Not mental discovery (found that). It's detection/recognition. The examples include "We found traces of lead in the paint". The parser finds a function similarly.

But consider sense 15 "succeed in reaching; arrive at" e.g. arrow found its mark, maybe parser finds a function? Not really; "find" here means encounter/locate within parsing? Let's see WordNet senses. find%2:40:00 is common "find" after searching. Parser scanning input meets a function. But phrase "finds a function" could be like "when the parser encounters a function". Sense 1 "come upon, as if by accident; meet with" synonyms happen, chance, bump, encounter. Example "We find this idea in Plato". However "parser" deliberate not accident. Sense 2 is more about detecting presence. The parser detects presence of a function. We must choose single best.

Instruction: use context, examples, synonyms. "finds" here is used to recognize presence of a function in the input. Synonyms detect, observe, discover, notice strongly fit. So sense 2.

Let's verify WordNet mapping. find%2:39:02 is "detect, observe, discover, notice" sense (perception). This is the second listed. Need answer index 2.

No extra text. JSON object exactly. Ensure no markdown.

provider: Novita


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: function
Target surface form: function
Context:
^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a <t>function</t>, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.

Candidate senses:
1. sense_key=function%1:24:00:: | definition=(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) | synonyms=mathematical function, single-valued function, map, mapping
2. sense_key=function%1:07:00:: | definition=what something is used for | synonyms=purpose, role, use | examples=the function of an auger is to bore holes; ballet is beautiful but what use is it?
3. sense_key=function%1:04:00:: | definition=the actions and activities assigned to or required or expected of a person or group | synonyms=office, part, role | examples=the function of a teacher; the government must do its part
4. sense_key=function%1:24:01:: | definition=a relation such that one thing is dependent on another | examples=height is a function of age; price is a function of supply and demand
5. sense_key=function%1:14:00:: | definition=a formal or official social gathering or ceremony | examples=it was a black-tie function
6. sense_key=function%1:11:00:: | definition=a vaguely specified social event | synonyms=affair, occasion, social occasion, social function | examples=the party was quite an affair; an occasion arranged to honor the president
7. sense_key=function%1:10:00:: | definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The user wants me to perform word sense disambiguation for the lemma "function" in the given context.

Let me analyze the context carefully. The text appears to be documentation about some kind of parser or mathematical expression evaluator. Key phrases:
- "Power, you can use them both"
- "unicode ² characters"
- "Powers are one way to make roots too"
- "It s the way to specify the bounded variable in a function"
- "abc(params): When the parser finds a <t>function</t>, it checks if abc is an operator"
- "If it is, it will be treated as an operator, if it is not, it will be treated as a user function"

The target is in the sentence: "abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function."

This is clearly about computing/programming. A parser finding a "function" and treating it as "user function" strongly suggests the computer science sense of function: a set sequence of steps, part of a larger computer program (subroutine, procedure, routine, subprogram).

Looking at candidate senses:
1. Mathematical function - map domain to range
2. Purpose/use
3. Role/actions assigned to a person/group
4. Relation of dependence
5. Formal social gathering
6. Social event
7. Computer science: subroutine, subprogram, routine, procedure

The context mentions "parser" which is a computing term, and "user function" which strongly indicates programming context. While earlier text mentions "bounded variable in a function" and mathematical concepts, the specific target occurrence is in "When the parser finds a function" and "user function."

In computing, a function is a named sequence of statements that performs a computation or operation, similar to subroutine, routine, procedure.

Sense 7 definition: "a set sequence of steps, part of larger computer program" with synonyms routine, subroutine, subprogram, procedure.

This matches best with the parser/programming context where code "abc(params)" represents a function call, and the parser determines if it's an operator or user-defined function.

So the answer should be sense index 7.

I need to return only a JSON object exactly like {"sense_index": 3}, so {"sense_index": 7}.

provider: DeepInfra


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: check
Target surface form: checks
Context:
^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it <t>checks</t> if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.

Candidate senses:
1. sense_key=check%2:31:00:: | definition=examine so as to determine accuracy, quality, or condition | synonyms=check up on, look into, check out, suss out, check over, go over | examples=check the brakes; Check out the engine
2. sense_key=check%2:41:04:: | definition=make an examination or investigation | examples=check into the rumor; check the time of the class
3. sense_key=check%2:31:02:: | definition=be careful or certain to do something; make certain of something | synonyms=see, insure, see to it, ensure, control, ascertain | examples=He verified that the valves were closed; See that the curtains are closed
4. sense_key=check%2:41:08:: | definition=lessen the intensity of; temper; hold in restraint; hold or keep within limits | synonyms=control, hold in, hold, contain, curb, moderate | examples=moderate your alcohol intake; hold your tongue
5. sense_key=check%2:38:15:: | definition=stop for a moment, as if out of uncertainty or caution | examples=She checked for an instant and missed a step
6. sense_key=check%2:31:01:: | definition=put a check mark on or near or next to | synonyms=check off, mark, mark off, tick off, tick | examples=Please check each name on the list; tick off the items
7. sense_key=check%2:30:02:: | definition=slow the growth or development of | synonyms=retard, delay | examples=The brain damage will retard the child's language development
8. sense_key=check%2:42:09:: | definition=be verified or confirmed; pass inspection | synonyms=check out | examples=These stories don't check!
9. sense_key=check%2:42:08:: | definition=be compatible, similar or consistent; coincide in their characteristics | synonyms=match, fit, correspond, jibe, gibe, tally | examples=The two stories don't agree in many details; The handwriting checks with the signature on the check
10. sense_key=check%2:41:14:: | definition=block or impede (a player from the opposing team) in ice hockey
11. sense_key=check%2:41:02:: | definition=develop (children's) behavior by instruction and practice; especially to teach self-control | synonyms=discipline, train, condition | examples=Parents must discipline their children; Is this dog trained?
12. sense_key=check%2:40:13:: | definition=consign for shipment on a vehicle | examples=check your luggage before boarding
13. sense_key=check%2:40:00:: | definition=hand over something to somebody as for temporary safekeeping | examples=Check your coat at the door
14. sense_key=check%2:38:14:: | definition=abandon the intended prey, turn, and pursue an inferior prey
15. sense_key=check%2:38:12:: | definition=stop in a chase especially when scent is lost | examples=The dog checked
16. sense_key=check%2:36:00:: | definition=mark into squares or draw squares on; draw crossed lines on | synonyms=checker, chequer
17. sense_key=check%2:33:02:: | definition=decline to initiate betting
18. sense_key=check%2:33:06:: | definition=hold back, as of a danger or an enemy; check the expansion or influence of | synonyms=turn back, arrest, stop, contain, hold back | examples=Arrest the downward trend; Check the growth of communism in South East Asia
19. sense_key=check%2:33:00:: | definition=place into check | examples=He checked my kings
20. sense_key=check%2:32:07:: | definition=write out a check on a bank account
21. sense_key=check%2:32:10:: | definition=find out, learn, or determine with certainty, usually by making an inquiry or other effort | synonyms=determine, find out, see, ascertain, watch, learn | examples=I want to see whether she speaks French; See whether it works
22. sense_key=check%2:31:12:: | definition=verify by consulting a source or authority | examples=check the spelling of this word; check your facts
23. sense_key=check%2:30:10:: | definition=arrest the motion (of something) abruptly | examples=He checked the flow of water by shutting off the main valve
24. sense_key=check%2:30:09:: | definition=make cracks or chinks in | synonyms=chink | examples=The heat checked the paint
25. sense_key=check%2:30:03:: | definition=become fractured; break or crack on the surface only | synonyms=crack, break | examples=The glass cracked when it was heated

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
We need do WSD for lemma check, surface checks. Context: math parser, when parser finds function, it checks if abc is an operator. Then if yes treat as operator, else as user function. This is verify/determine by inquiry or test. Candidate senses: 1 examine to determine accuracy/quality/condition. 2 make an examination or investigation. 3 be careful/certain; make certain of something. 21 find out/learn/determine with certainty, usually by making an inquiry or other effort. 22 verify by consulting a source or authority. Also 8 be verified or confirmed. 9 be compatible. Which best? The parser checks if abc is an operator. It examines/verifies the condition. Sense 1 "examine so as to determine accuracy, quality, or condition" with examples "check the brakes; Check out the engine". It fits checking status. Sense 21 "find out, learn, or determine with certainty, usually by making an inquiry or other effort" with examples "I want to see whether she speaks French; See whether it works". The construction "check if/whether" is similar to determine whether. The parser checks if abc is an operator -> determine whether it is. That might be sense 21. Sense 22 "verify by consulting a source or authority" with examples check spelling, check facts. Could also. Sense 3 "make certain of something" examples verify valves closed, see that curtains closed, often with that. Not if. The parser determines membership by looking up if abc is an operator (maybe in list of operators). Which WordNet sense maps to "checks if"? Need fine-grained. Let's analyze differences. Sense 1 check.v.01 examine so as to determine accuracy, quality, or condition (cognition/change? FrameNet?). Sense 2 check.v.02 make an examination or investigation. Sense 3 check.v.03 be careful or certain to do something; make certain of something. Sense 21 check.v.21 find out, learn, or determine with certainty, usually by making an inquiry or other effort. Sense 22 check.v.22 verify by consulting a source or authority. There might be overlap. Context: "When the parser finds a function, it checks if abc is an operator." The parser examines the token/identifier to determine whether it is an operator. This is like verifying/ascertaining. Does it consult a source? The parser might have a list/table of operators; consulting source? It checks if abc is an operator (maybe by checking its name). The best sense likely 21 because "find out, learn, or determine with certainty, usually by making an inquiry or other effort" is used with whether/if. But sense 1 examples also include "Check the brakes" but not "check if". The WSD convention: "check if" often maps to check%2:31:00? Let's think of WordNet mapping in SemCor. "Check whether" maybe in sense 21? Let's inspect from memory: WordNet check has many senses. Sense 21 (find out, learn, or determine with certainty) is grouped with determine, find out, see, ascertain, watch, learn. Example "I want to see whether she speaks French; See whether it works; find out if he speaks Russian; Check whether the train leaves on time". I think sense 21 includes "check" as in "check whether the train leaves on time". Sense 1 includes "check the brakes" (examine physical object). In computational parser, checking if abc is operator is an examination/investigation to determine truth; could be sense 21 or 2. Let's compare sense 2 "make an examination or investigation" examples "check into the rumor; check the time of the class". This is about investigating something. Not exactly "check if". Sense 22 "verify by consulting a source or authority" examples "check the spelling of this word; check your facts". Could fit because parser verifies membership by consulting operator list. But examples refer to consulting dictionary/authority. However in programming, checking if a token is an operator is verifying a property by consulting a table; similar to "check the spelling". Yet the construction "checks if abc is an operator" is more about determining (boolean check) than verifying against authority.

Let's parse context: "When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function." This is algorithmic conditional checking. In FrameNet, "check" as "to find out by looking". The WordNet sense 21 specifically captures that. I think the answer is 21. But need ensure not sense 1. Fine-grained WSD often distinguishes physical inspection vs. determining. The parser's action is abstract. The phrase "checks if" in SemCor? Let's look up mental memory: WordNet 3.0 check.v.21 definition "find out, learn, or determine with certainty, usually by making an inquiry or other effort" examples: "I want to see whether she speaks French"; "See whether it works"; "find out if he speaks Russian"; "Check whether the train leaves on time". This is indeed the sense for "check whether/if". So index 21.

Need respond only JSON {"sense_index": 21}. Ensure exact format.

provider: Moonshot AI


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: operator
Target surface form: operator
Context:
^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an <t>operator</t>. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.

Candidate senses:
1. sense_key=operator%1:24:00:: | definition=(mathematics) a symbol or function representing a mathematical operation
2. sense_key=operator%1:18:00:: | definition=an agent that operates some apparatus or machine | synonyms=manipulator | examples=the operator of the switchboard
3. sense_key=operator%1:18:01:: | definition=someone who owns or operates a business | examples=who is the operator of this franchise?
4. sense_key=operator%1:18:02:: | definition=a shrewd or unscrupulous person who knows how to circumvent difficulties | synonyms=hustler, wheeler dealer
5. sense_key=operator%1:18:03:: | definition=a speculator who trades aggressively on stock or commodity markets

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: We need choose best sense for "operator" in context. Context is about parsing functions, abc(params), parser checks if abc is an operator. Mathematical programming language: symbol or function representing a mathematical operation. That matches sense 1. Need output JSON {"sense_index": 1}. Only that.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: treat
Target surface form: treated
Context:
Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be <t>treated</t> as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value.

Candidate senses:
1. sense_key=treat%2:41:00:: | definition=interact in a certain way | synonyms=handle, do by | examples=Do right by her; Treat him with caution, please
2. sense_key=treat%2:30:01:: | definition=subject to a process or treatment, with the aim of readying for some purpose, improving, or remedying a condition | synonyms=process | examples=process cheese; process hair
3. sense_key=treat%2:29:00:: | definition=provide treatment for | synonyms=care for | examples=The doctor treated my broken leg; The nurses cared for the bomb victims
4. sense_key=treat%2:32:00:: | definition=act on verbally or in some form of artistic expression | synonyms=cover, handle, plow, deal, address | examples=This book deals with incest; The course covered all of Western Civilization
5. sense_key=treat%2:40:00:: | definition=provide with a gift or entertainment | examples=Grandmother always treated us to the circus; I like to treat myself to a day at a spa when I am depressed
6. sense_key=treat%2:34:00:: | definition=provide with choice or abundant food or drink | synonyms=regale | examples=Don't worry about the expensive wine--I'm treating; She treated her houseguests with good food every night
7. sense_key=treat%2:32:03:: | definition=engage in negotiations in order to reach an agreement | examples=they had to treat with the King
8. sense_key=treat%2:31:00:: | definition=regard or consider in a specific way | examples=I treated his advances as a joke

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The user wants me to perform word sense disambiguation on the target word "treated" in the given context. Let me analyze the context carefully.

Context: "Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be <t>treated</t> as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value."

The sentence containing "treated": "If it is, it will be treated as an operator, if it is not, it will be treated as a user function."

This means: If abc is an operator, it will be regarded/considered/handled as an operator; if not, it will be regarded/considered/handled as a user function.

So "treated as" here means "regarded as" or "considered as" or "handled as".

"act on verbally or in some form of artistic expression; synonyms=cover, handle, plow, deal, address; examples=This book deals with incest; The course covered all of Western Civilization"

"treated" meaning handled/considered in a specific manner.

Sense 1: interact in a certain way | synonyms=handle, do by | examples=Do right by her; Treat him with caution, please. This sense is about how one behaves/interacts toward someone, often moral/ethical treatment of a person.

Sense 8: regard or consider in a specific way | examples=I treated his advances as a joke.

Sense 4: act on verbally or in some form of artistic expression; synonyms=cover, handle, plow, deal, address; examples=This book deals with incest; The course covered all of Western Civilization.

The phrase "treated as" is a common construction for sense 8: "regard or consider in a specific way". Example: "I treated his advances as a joke." That matches exactly "treated as X".

But sense 4 can also fit because "treated as" could mean "dealt with/handled as". The synonyms include handle, deal. However, sense 4's examples are about works (book, course) covering/dealing with topics. The context is about a parser treating abc as an operator or user function. This is not "artistic expression." The process is more about handling/regarding.

Looking at the phrase "treated as": In WordNet, the sense "regard or consider in a specific way" has the example "I treated his advances as a joke." That's exactly "treated as ...".

Sense 1 has "treated ... with caution, please" but construction "treat with" not "treat as".

Sense 8's example uses "treated ... as". The context "treated as an operator" aligns with sense 8.

However, we need to also consider whether sense 1 could fit: "interact in a certain way" with synonyms handle, do by. But "treat as" is not idiomatic for that sense? Actually, "treat X as Y" can be paraphrased as "handle X as Y" or "do by X as Y"? Not really.

Sense 4: act on verbally or in some form of artistic expression. Could be "The parser treats abc as an operator" meaning it deals with it. But synonyms like "cover, handle, plow, deal, address" and examples are about texts. The phrase "act on verbally" suggests dealing with something in speech/writing, which could include programming? Programming not exactly verbal though. But deals with lexical parsing... But the intended semantic nuance is cognitive categorization: parsed as operator. "Regarded or considered in a specific way" (sense 8).

In many WSD datasets, "treated as" is indeed tagged as treat.v.08 (regard or consider in a specific way). Let me recall WordNet sense 8 definition: "regard or consider in a specific way; 'I treated his advances as a joke'". This is the standard sense for "treated as" in technical contexts like "treated as a probability distribution" etc.

Sense 4 in WordNet: "provide with usually for a special purpose; 'treat leather with formaldehyde'"? Wait sense 4 I'm assigned in candidate list is "act on verbally or in some form of artistic expression" maybe corresponds to WordNet sense 4: "provide treatment for" might be sense 3. Let me check WordNet verbs.

Actually treat has verb senses:
- sense 1: (medicine) provide treatment for (doctor treated my broken leg) -> candidate 3.
- sense 2: subject to a process or treatment, with the aim... (process cheese) -> candidate 2.
- sense 3: provide with a gift or entertainment -> candidate 5.
- sense 4: provide with choice or abundant food/drink -> candidate 6.
- sense 5: engage in negotiations -> candidate 7.
- sense 6: treat someone to something -> candidate 5? Actually "treat, regale" (sense 4 in candidate? Candidate 6 maybe etc). Wait candidate numbering is not WordNet index.

The candidate list includes:
1 treat%2:41:00 interact in certain way (handle, do by)
2 treat%2:30:01 subject to process/treatment (process)
3 treat%2:29:00 provide treatment for
4 treat%2:32:00 act on verbally/artistic expression (cover, handle, plow, deal, address)
5 treat%2:40:00 provide with gift/entertainment
6 treat%2:34:00 provide with choice or abundant food/drink
7 treat%2:32:03 negotiate
8 treat%2:31:00 regard or consider in a specific way

We need to select among these 8. Context: parser treats abc as operator/user function. This is intellectual categorization: regard/consider as. That's sense 8. The "handle" sense might also work but lacks "as" example; sense 4 also uses handle but is about artistic/discourse covering; not relevant.

Thus answer: {"sense_index": 8}.

Need respond only JSON exactly. Ensure no hedge. Single best indexed sense. Need not answer with WordNet sense key. Return JSON object. So final should be `{"sense_index": 8}` maybe with no extra text.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: operator
Target surface form: operator
Context:
Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an <t>operator</t>, if it is not, it will be treated as a user function.: =: It is used to define a variable value.

Candidate senses:
1. sense_key=operator%1:24:00:: | definition=(mathematics) a symbol or function representing a mathematical operation
2. sense_key=operator%1:18:00:: | definition=an agent that operates some apparatus or machine | synonyms=manipulator | examples=the operator of the switchboard
3. sense_key=operator%1:18:01:: | definition=someone who owns or operates a business | examples=who is the operator of this franchise?
4. sense_key=operator%1:18:02:: | definition=a shrewd or unscrupulous person who knows how to circumvent difficulties | synonyms=hustler, wheeler dealer
5. sense_key=operator%1:18:03:: | definition=a speculator who trades aggressively on stock or commodity markets

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: We need answer Word Sense Disambiguation. Target lemma operator surface. Context about parser, function, operator vs user function, mathematical operations maybe programming. Candidate senses: 1 mathematics symbol/function representing mathematical operation. 2 manipulator of switchboard. 3 business owner. 4 shrewd person. 5 speculator. Context: "When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator..." In math parser context, likely symbol/function representing a mathematical operation. Choose sense_index:1. Need return only JSON {"sense_index": 1}.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: treat
Target surface form: treated
Context:
Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be <t>treated</t> as a user function.: =: It is used to define a variable value.

Candidate senses:
1. sense_key=treat%2:41:00:: | definition=interact in a certain way | synonyms=handle, do by | examples=Do right by her; Treat him with caution, please
2. sense_key=treat%2:30:01:: | definition=subject to a process or treatment, with the aim of readying for some purpose, improving, or remedying a condition | synonyms=process | examples=process cheese; process hair
3. sense_key=treat%2:29:00:: | definition=provide treatment for | synonyms=care for | examples=The doctor treated my broken leg; The nurses cared for the bomb victims
4. sense_key=treat%2:32:00:: | definition=act on verbally or in some form of artistic expression | synonyms=cover, handle, plow, deal, address | examples=This book deals with incest; The course covered all of Western Civilization
5. sense_key=treat%2:40:00:: | definition=provide with a gift or entertainment | examples=Grandmother always treated us to the circus; I like to treat myself to a day at a spa when I am depressed
6. sense_key=treat%2:34:00:: | definition=provide with choice or abundant food or drink | synonyms=regale | examples=Don't worry about the expensive wine--I'm treating; She treated her houseguests with good food every night
7. sense_key=treat%2:32:03:: | definition=engage in negotiations in order to reach an agreement | examples=they had to treat with the King
8. sense_key=treat%2:31:00:: | definition=regard or consider in a specific way | examples=I treated his advances as a joke

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: We need answer JSON only. We need disambiguate "treated" in context: "When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function." This is about how something is regarded/considered/classified. Candidate sense 8: regard or consider in a specific way ("I treated his advances as a joke"). That fits "treated as an operator/user function". Sense 1 interact in certain way/handle/do by: "Treat him with caution" maybe not. Sense 4 "act on verbally or in some form of artistic expression; cover, deal, address" also possible "treat" as deal with a topic, but here "treated as X" indicates classification/regard. Sense 8 is best. Need output JSON exactly {"sense_index": 8}. Ensure no extra text.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: user
Target surface form: user
Context:
Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a <t>user</t> function.: =: It is used to define a variable value.

Candidate senses:
1. sense_key=user%1:18:00:: | definition=a person who makes use of a thing; someone who uses or employs something
2. sense_key=user%1:18:01:: | definition=a person who uses something or someone selfishly or unethically | synonyms=exploiter
3. sense_key=user%1:18:02:: | definition=a person who takes drugs | synonyms=drug user, substance abuser

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: We need output JSON with sense index. The target word "user" is in context: "it will be treated as a user function". Here "user" modifies "function" meaning a function created/used by the user, i.e., a person who makes use of a thing / software user. Sense 1 is generic. Sense 2 exploiter, sense 3 drug user. Clearly sense 1. Need only JSON.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: function
Target surface form: function
Context:
Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user <t>function</t>.: =: It is used to define a variable value.

Candidate senses:
1. sense_key=function%1:24:00:: | definition=(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) | synonyms=mathematical function, single-valued function, map, mapping
2. sense_key=function%1:07:00:: | definition=what something is used for | synonyms=purpose, role, use | examples=the function of an auger is to bore holes; ballet is beautiful but what use is it?
3. sense_key=function%1:04:00:: | definition=the actions and activities assigned to or required or expected of a person or group | synonyms=office, part, role | examples=the function of a teacher; the government must do its part
4. sense_key=function%1:24:01:: | definition=a relation such that one thing is dependent on another | examples=height is a function of age; price is a function of supply and demand
5. sense_key=function%1:14:00:: | definition=a formal or official social gathering or ceremony | examples=it was a black-tie function
6. sense_key=function%1:11:00:: | definition=a vaguely specified social event | synonyms=affair, occasion, social occasion, social function | examples=the party was quite an affair; an occasion arranged to honor the president
7. sense_key=function%1:10:00:: | definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: We need answer only JSON with sense_index. We must determine best sense for "function" in context. Context is about parser, abc(params), when parser finds a function, checks if abc is operator; if not treated as user function. This is programming function: a set sequence of steps, part of larger computer program. Candidate 7. Sense key function%1:10:00::. Therefore index 7. Need output JSON exactly {"sense_index": 7}. No extra.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: use
Target surface form: used
Context:
Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is <t>used</t> to define a variable value.?: Piecewise condition definition.

Candidate senses:
1. sense_key=use%2:34:01:: | definition=put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
2. sense_key=use%2:34:02:: | definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
3. sense_key=use%2:34:00:: | definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
4. sense_key=use%2:41:14:: | definition=seek or achieve an end by using to one's advantage | examples=She uses her influential friends to get jobs; The president's wife used her good connections
5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
6. sense_key=use%2:41:03:: | definition=habitually do something (use only in the past tense) | examples=She used to call her mother every week but now she calls only occasionally; I used to get sick when I ate in that dining hall

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The user wants me to disambiguate the word "used" in context. The context appears to be describing syntax or grammar of some system, likely mathematical or programming notation.

The sentence: ":=: It is used to define a variable value."

This means ":= is used to define a variable value" - in other words, ":=" is put into service / employed for the purpose of defining a variable value.

Let me look at the candidate senses:

1. use%2:34:01:: - put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms: utilize, utilise, apply, employ
2. use%2:34:02:: - take or consume (regularly or habitually) | synonyms: habituate
3. use%2:34:00:: - use up, consume fully | synonyms: expend
4. use%2:41:14:: - seek or achieve an end by using to one's advantage
5. use%2:41:04:: - avail oneself to | synonyms: practice, apply
6. use%2:41:03:: - habitually do something (use only in the past tense) | examples: She used to call...

The context clearly matches sense 1: "It is used to define a variable value" means it is put into service / employed for the purpose of defining a variable value. This is the standard "use" sense of employing something for a purpose.

Sense 6 is about "used to" as a habitual past tense construction, which doesn't fit because there's an infinitive "to define" but the meaning isn't habitual past action.

Sense 1 is the correct choice. The index would be 1.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: define
Target surface form: define
Context:
Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to <t>define</t> a variable value.?: Piecewise condition definition.

Candidate senses:
1. sense_key=define%2:42:00:: | definition=determine the essential quality of | synonyms=specify, delineate, delimit, delimitate
2. sense_key=define%2:32:00:: | definition=give a definition for the meaning of a word | examples=Define `sadness'
3. sense_key=define%2:42:01:: | definition=determine the nature of | examples=What defines a good wine?
4. sense_key=define%2:42:03:: | definition=show the form or outline of | synonyms=delineate | examples=The tree was clearly defined by the light; The camera could define the smallest object
5. sense_key=define%2:32:01:: | definition=decide upon or fix definitely | synonyms=specify, set, determine, fix, limit | examples=fix the variables; specify the parameters

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
We need answer with JSON. Target lemma define, surface define. Context: "It is used to define a variable value." This is about setting a variable value. Candidate senses. Let's analyze each.

1. define%2:42:00:: determine the essential quality of; synonyms specify, delineate, delimit, delimitate. Not quite set a variable value; more determine the essential quality.

2. define%2:32:00:: give a definition for the meaning of a word; examples Define `sadness'. Not variable value.

3. define%2:42:01:: determine the nature of; examples What defines a good wine? Not.

4. define%2:42:03:: show the form or outline of; synonyms delineate. Not.

5. define%2:32:01:: decide upon or fix definitely; synonyms specify, set, determine, fix, limit; examples fix the variables; specify the parameters. This is about fixing a variable or parameter. "define a variable value" fits set/fix a value. So sense 5.

Need only JSON {"sense_index": 5}. Ensure no extra text.

provider: AtlasCloud


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: value
Target surface form: value
Context:
Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable <t>value</t>.?: Piecewise condition definition.

Candidate senses:
1. sense_key=value%1:09:00:: | definition=a numerical quantity measured or assigned or computed | examples=the value assigned was 16 milliseconds
2. sense_key=value%1:07:00:: | definition=the quality (positive or negative) that renders something desirable or valuable | examples=the Shakespearean Shylock is of dubious value in the modern world
3. sense_key=value%1:21:00:: | definition=the amount (of money or goods or services) that is considered to be a fair equivalent for something else | synonyms=economic value | examples=he tried to estimate the value of the produce at normal prices
4. sense_key=value%1:07:01:: | definition=relative darkness or lightness of a color; -Joe Hing Lowe | examples=I establish the colors and principal values by organizing the painting into three values--dark, medium...and light
5. sense_key=value%1:28:00:: | definition=(music) the relative duration of a musical note | synonyms=time value, note value
6. sense_key=value%1:09:01:: | definition=an ideal accepted by some individual or group | examples=he has old-fashioned values

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The target word "value" appears in the context of defining a variable value in a parser or programming/mathematical context: "=: It is used to define a variable <t>value</t>."

This refers to a numerical quantity that can be assigned or computed to a variable. Looking at the candidate senses:

1. sense_key=value%1:09:00:: | definition=a numerical quantity measured or assigned or computed | examples=the value assigned was 16 milliseconds
2. ...quality desirable or valuable
3. ...economic value
4. ...darkness/lightness of color
5. ...music duration
6. ...ideal accepted by group

The context is clearly about a variable having a numerical or computed value. Sense 1 fits best: "a numerical quantity measured or assigned or computed". The example even says "the value assigned was 16 milliseconds" which matches "define a variable value".

So the answer is sense_index: 1.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: way
Target surface form: way
Context:
(): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the <t>way</t> we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance.

Candidate senses:
1. sense_key=way%1:07:01:: | definition=how something is done or how it happens | synonyms=manner, mode, style, fashion | examples=her dignified manner; his rapid manner of talking
2. sense_key=way%1:04:01:: | definition=how a result is obtained or an end is achieved | synonyms=means, agency | examples=a means of control; an example is the best agency of instruction
3. sense_key=way%1:15:00:: | definition=a line leading to a place or point | synonyms=direction | examples=he looked the other direction; didn't know the way home
4. sense_key=way%1:26:00:: | definition=the condition of things generally | examples=that's the way it is; I felt the same way
5. sense_key=way%1:04:00:: | definition=a course of conduct | synonyms=path, way of life | examples=the path of virtue; we went our separate ways
6. sense_key=way%1:06:00:: | definition=any artifact consisting of a road or path affording passage from one place to another | examples=he said he was looking for the way out
7. sense_key=way%1:04:02:: | definition=a journey or passage | examples=they are on the way
8. sense_key=way%1:23:00:: | definition=space for movement | synonyms=room, elbow room | examples=room to pass; make way for
9. sense_key=way%1:07:02:: | definition=the property of distance in general | examples=it's a long way to Moscow; he went a long ways
10. sense_key=way%1:09:00:: | definition=doing as one pleases or chooses | examples=if I had my way
11. sense_key=way%1:09:01:: | definition=a general category of things; used in the expression `in the way of' | examples=they didn't have much in the way of clothing
12. sense_key=way%1:21:00:: | definition=a portion of something divided into shares | examples=they split the loot three ways

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The user wants me to perform Word Sense Disambiguation on the word "way" in this context. Let me analyze carefully.

Context: "Piecewise is the way we can define conditional operations in kalgebra."

The sentence is saying "Piecewise is the way we can define conditional operations in kalgebra." This means Piecewise is the method/means by which conditional operations can be defined.

Let me look at the candidate senses:

1. way%1:07:01 - how something is done or how it happens | synonyms=manner, mode, style, fashion
2. way%1:04:01 - how a result is obtained or an end is achieved | synonyms=means, agency
3. way%1:15:00 - a line leading to a place or point (direction)
4. way%1:26:00 - the condition of things generally
5. way%1:04:00 - a course of conduct
6. way%1:06:00 - any artifact consisting of a road or path
7. way%1:04:02 - a journey or passage
8. way%1:23:00 - space for movement
9. way%1:07:02 - the property of distance in general
10. way%1:09:00 - doing as one pleases or chooses
11. way%1:09:01 - a general category of things
12. way%1:21:00 - a portion of something divided into shares

The phrase "the way we can define conditional operations" - here "way" refers to the method or means by which something is done.

The question is between sense 1 and sense 2.

Sense 1: "how something is done or how it happens" with synonyms manner, mode, style, fashion.
Sense 2: "how a result is obtained or an end is achieved" with synonyms means, agency.

"Piecewise is the way we can define conditional operations" - this is saying Piecewise is the means/agent/method through which we achieve the end of defining conditional operations.

Actually, let me think more carefully. If I say "This is the way we do X" - is that sense 1 or sense 2?

Sense 1 examples: "her dignified manner", "his rapid manner of talking" - this refers to the manner/style of doing something.
Sense 2 examples: "a means of control", "an example is the best agency of instruction" - this refers to the means/instrumentality for achieving a result.

In "Piecewise is the way we can define conditional operations", we're saying Piecewise is the method/means by which conditional operations are defined. It seems closer to sense 2 (means/agency) because there's a clear end being achieved: defining conditional operations.

However, "the way we can define conditional operations" also could be interpreted as "the manner in which we define conditional operations" (sense 1).

Let me parse it: "Piecewise is the [way we can define conditional operations in kalgebra]."

The full noun phrase "way we can define conditional operations" = the method/means for defining conditional operations.

I think sense 2 fits best because:
- It refers to "how a result is obtained or an end is achieved"
- The result/end is: defining conditional operations
- The synonyms "means, agency" match well: "Piecewise is the means by which we define conditional operations"

Sense 1 would fit constructions like "in a piecewise way" or "the piecewise way of doing things" referring to style/manner. But here it's more about functionality/means.

Let me also look at sense 11: "a general category of things; used in the expression `in the way of'" - no, not this.

Sense 4: "the condition of things generally" - examples "that's the way it is" - this could be tempting for "the way we can define..." but no, here "way" is more about method.

So I think sense 2 is the best choice: way%1:04:01.

Actually wait, let me reconsider sense 1 vs sense 2 one more time.

WordNet has different lexical files:
- 1:07 is attributes (manner, mode, style, fashion)
- 1:04 is acts or actions (means, agency)

The distinction is subtle. "Way" in "the way I solved the problem" could be sense 1 or 2 depending on whether you mean the manner/style or the means/method.

In technical documentation like this, describing a programming feature: "Piecewise is the way we can define conditional operations" - Piecewise is being presented as a mechanism/method for doing something.

I lean toward sense 2, but I want to be careful. Let me think of how "the way to do X" is typically disambiguated in WordNet.

Actually, looking at common WSD benchmarks, "the way to do X" often maps to sense 2 (means, agency) when it means "the means to do X". But it can also map to sense 1 when it means "the manner of doing X."

In this context: Piecewise isn't a style or fashion; it's a functional mechanism. So sense 2 seems right.

Final answer: {"sense_index": 2}

provider: Together


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: define
Target surface form: define
Context:
(): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can <t>define</t> conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance.

Candidate senses:
1. sense_key=define%2:42:00:: | definition=determine the essential quality of | synonyms=specify, delineate, delimit, delimitate
2. sense_key=define%2:32:00:: | definition=give a definition for the meaning of a word | examples=Define `sadness'
3. sense_key=define%2:42:01:: | definition=determine the nature of | examples=What defines a good wine?
4. sense_key=define%2:42:03:: | definition=show the form or outline of | synonyms=delineate | examples=The tree was clearly defined by the light; The camera could define the smallest object
5. sense_key=define%2:32:01:: | definition=decide upon or fix definitely | synonyms=specify, set, determine, fix, limit | examples=fix the variables; specify the parameters

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
We need choose best indexed sense for target lemma define surface form define. Context is technical documentation about kalgebra. Sentence: "? Piecewise condition definition. Piecewise is the way we can <t>define</t> conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance."
We need interpret meaning of define here: "Piecewise is the way we can define conditional operations in kalgebra." That is setting/specifying/how we define or establish conditional operations. Candidate senses:
1 determine essential quality of. Schematic synonyms specify, delineate, delimit. Could be "specify" in technical sense?
2 give definition for meaning of word. Not meanings of words, but conditional operations.
3 determine the nature of. Eg "What defines a good wine?". Here conditional operations? Not exactly.
4 show form or outline. No.
5 decide upon or fix definitely; synonyms specify, set, determine, fix, limit; examples "fix the variables; specify the parameters". Technical documentation, variable values, parameters. Fits "define conditional operations" = specify/set exactly.
We need index in list is 5. But note sense key define%2:32:01 corresponds to decide upon/fix definitely. The other one with key define%2:42:00 also synonyms specify. Which is better? Need disambiguate between sense 1 and 5. WordNet sense 1 and 5 definitions:
1 determine the essential quality of; similar to specify, delineate, delimit, delimitate. Could be determine essential content/scope? Maybe intransitive?
5 decide upon or fix definitely; specify, set, determine, fix, limit. "fix the variables; specify the parameters". In programming context, define a variable value, define conditional operations equals set/fix/specify parameters. So index 5 likely.
Need output JSON {"sense_index": 5}. Also instructions no hedging, single best. Return only JSON.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: conditional
Target surface form: conditional
Context:
(): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can define <t>conditional</t> operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance.

Candidate senses:
1. sense_key=conditional%5:00:00:qualified:02 | definition=qualified by reservations
2. sense_key=conditional%3:00:00:: | definition=imposing or depending on or containing a condition | examples=conditional acceptance of the terms; lent conditional support

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
We need perform fine-grained WSD. Target lemma: conditional. Surface form conditional. Context from KAlgebra doc: "Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the ? it will use this condition only if it is true..." Need choose best indexed sense among candidate senses:

1. sense_key=conditional%5:00:00:qualified:02 | definition=qualified by reservations

2. sense_key=conditional%3:00:00:: | definition=imposing or depending on or containing a condition | examples=conditional acceptance of the terms; lent conditional support

Have to output JSON {"sense_index" : index}. Only two candidates. Need choose best.

Let's analyze meanings. conditional%5:00:00:qualified:02 is adjective satellite? Actually 5 is adjective satellite. qualified by reservations. conditional%3:00:00:: is adjective (3) imposing or depending on or containing a condition. In programming context conditional operations = operations that depend on/check a condition. That's "imposing or depending on or containing a condition". Sense 2 is appropriate: conditional (conditional statement, conditional operation) depends on condition. Sense 1 qualified by reservations is for terms acceptance maybe conditional on reservations. But a conditional operation in programming is not qualified by reservations. So best is sense 2.

Return exactly JSON. Also heed instruction not to answer with WordNet sense key. Only JSON object.

Thus final: {"sense_index" : 2}.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: operation
Target surface form: operations
Context:
(): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can define conditional <t>operations</t> in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance.

Candidate senses:
1. sense_key=operation%1:26:00:: | definition=the state of being in effect or being operative | examples=that rule is no longer in operation
2. sense_key=operation%1:04:06:: | definition=a business especially one run on a large scale | examples=a large-scale farming operation; a multinational operation
3. sense_key=operation%1:04:03:: | definition=a planned activity involving many people performing various actions | examples=they organized a rescue operation; the biggest police operation in French history
4. sense_key=operation%1:22:00:: | definition=(computer science) data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction) | examples=it can perform millions of operations per second
5. sense_key=operation%1:04:02:: | definition=activity by a military or naval force (as a maneuver or campaign) | synonyms=military operation | examples=it was a joint operation of the navy and air force
6. sense_key=operation%1:04:00:: | definition=a medical procedure involving an incision with instruments; performed to repair damage or arrest disease in a living body | synonyms=surgery, surgical operation, surgical procedure, surgical process | examples=they will schedule the operation as soon as an operating room is available; he died while undergoing surgery
7. sense_key=operation%1:04:05:: | definition=a process or series of acts especially of a practical or mechanical nature involved in a particular form of work | synonyms=procedure | examples=the operations in building a house; certain machine tool operations
8. sense_key=operation%1:22:01:: | definition=process or manner of functioning or operating | synonyms=functioning, performance | examples=the power of its engine determines its operation; the plane's operation in high winds
9. sense_key=operation%1:09:00:: | definition=(psychology) the performance of some composite cognitive activity; an operation that affects mental contents | synonyms=process, cognitive process, mental process, cognitive operation | examples=the process of thinking; the cognitive operation of remembering
10. sense_key=operation%1:04:01:: | definition=(mathematics) calculation by mathematical methods | synonyms=mathematical process, mathematical operation | examples=the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation; they were learning the basic operations of arithmetic
11. sense_key=operation%1:04:07:: | definition=the activity of operating something (a machine or business etc.) | examples=her smooth operation of the vehicle gave us a surprisingly comfortable ride

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
We need solve WSD. Target lemma operation, surface operations. Context: programming/math manual: "Piecewise is the way we can define conditional operations in kalgebra." Need choose best sense among listed. The phrase conditional operations in algebra/math: means mathematical operations, calculations, possibly pieceswise conditions define conditional operations. Candidate sense 10: (mathematics) calculation by mathematical methods; math process/operation; examples basic operations of arithmetic. Candidate 4: computer science data processing result completely specified by a rule (single instruction); examples millions of ops per second. Candidate 7: process/series of acts involved in particular work. Candidate 8: process or manner of functioning. Need decide which best.

Context describes a language parser, operators, variable definitions, piecewise condition definition. "Piecewise is the way we can define conditional <t>operations</t> in kalgebra." KAlgebra is a calculator/algebra system. Conditional operations likely refers to mathematical operations that are defined conditionally (different expression depending on condition). The mention "operators" and "user function" hints at computing. WordNet sense 4 has domain tag computer science "data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction)". The context says conditional operations in kalgebra; one could define operations, not necessarily at machine instruction level. But KAlgebra is a math computer science environment. However "operation" in programming language often maps to sense 4: "operation" as a computation. In computing, mill ops/sec. But the context specifically mathematical conditional operations/piecewise. Which is better: mathematical operation sense 10? Let's examine glosses.

Sense 10 definition: (mathematics) calculation by mathematical methods; synonyms mathematical process, mathematical operation; example basic operations of arithmetic. This matches conditional operations (piecewise definitions) in an algebra system. KAlgebra is symbolic math, operations are mathematical. Even though it runs on computers, the doc snippet is about mathematical expressions and functions, not raw CPU instructions.

Sense 4 definition: (computer science) data processing... result specified by a rule (especially processing that results from a single instruction). That is for CPU/instruction-level operations. A conditional operation could be an operation that may be computed depending on condition. But examples "millions of operations per second" align. In KAlgebra docs, "operation" is high-level math function, perhaps functions. Piecewise condition allows conditional definitions of operations. They also refer to "operator" as function; maybe "operations" means mathematical operations.

Sense 7: process/series of acts especially practical/mechanical; house building. Not fit.

Sense 8: functioning; not fit.

Sense 9: cognitive operation; no.

Sense 1: being in effect; no.

Sense 3: planned activity with people; no.

Sense 5: military; no.

Sense 6: surgery; no.

Sense 2: business; no.

Sense 11: activity of operating something; no.

Likely between 4 and 10. Need choose single best. Let's read user context exactly: Context:
(): It is used to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can define conditional <t>operations</t> in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance.

It mentions parser, operator, function, variable value, conditional operations in kalgebra. This is a programming/math software doc. The word "operations" could mean "computations" in a computer program. In computer documentation, conditional operations often refers to operations a computer performs, i.e., sense 4. But because it's an algebra language, "operations" = mathematical operations. Which sense does WordNet index best? Sense 10 is "(mathematics) calculation by mathematical methods". The pre-modifier "conditional" and domain "in kalgebra" strongly point to mathematical operation. However KAlgebra is computational; but its domain is mathematics. The examples synonyms "mathematical process, mathematical operation" and "basic operations of arithmetic" align with algebraic operations. I'd choose sense 10.

But let's be careful: WordNet sense 4 is specifically CS "data processing... result is completely specified by a rule (especially the processing that results from a single instruction)". The mention "checks if abc is an operator" and treating as operator. An operator may be a programming construct; operations are actions. In KAlgebra, maybe operations are parsed instruction-level computations? KAlgebra syntax includes operators like +,-,*,/, functions. Piecewise condition definitions are ways to define conditional operations. Here "operation" likely synonymous with "operator" as a function/action, maybe an algebraic operation. Since target is in context of piecewise in algebra, sense 10. The surrounding terms: "operator", "user function", "variable value", "conditional operations". In a programming language, "operation" is often a generic computer operation (sense 4). But "kalgebra" is an algebra system, so "operation" is math.

Let's examine if sense 4 reqs single instruction: in this language, each piecewise branch could be a single instruction. No.

I think best is 10. Need output JSON: {"sense_index": 10}. Ensure only this.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: introduce
Target surface form: introduce
Context:
abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we <t>introduce</t> the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container.

Candidate senses:
1. sense_key=introduce%2:32:00:: | definition=cause to come to know personally | synonyms=present, acquaint | examples=permit me to acquaint you with my son; introduce the new neighbors to the community
2. sense_key=introduce%2:36:00:: | definition=bring something new to an environment | synonyms=innovate | examples=A new word processor was introduced
3. sense_key=introduce%2:30:03:: | definition=introduce | synonyms=insert, enclose, inclose, stick in, put in | examples=Insert your ticket here
4. sense_key=introduce%2:38:00:: | definition=bring in a new person or object into a familiar environment | synonyms=bring in | examples=He brought in a new judge; The new secretary introduced a nasty rumor
5. sense_key=introduce%2:36:01:: | definition=bring in or establish in a new place or environment | examples=introduce a rule; introduce exotic fruits
6. sense_key=introduce%2:35:00:: | definition=put or introduce into something | synonyms=insert, infix, enter | examples=insert a picture into the text
7. sense_key=introduce%2:32:02:: | definition=bring before the public for the first time, as of an actor, song, etc. | synonyms=bring out
8. sense_key=introduce%2:31:00:: | definition=put before (a body) | examples=introduce legislation
9. sense_key=introduce%2:32:01:: | definition=furnish with a preface or introduction | synonyms=precede, preface, premise | examples=She always precedes her lectures with a joke; He prefaced his lecture with a critical remark about the institution
10. sense_key=introduce%2:30:00:: | definition=be a precursor of | synonyms=inaugurate, usher in | examples=The fall of the Berlin Wall ushered in the post-Cold War period

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
We need answer JSON only, choose best sense index for 'introduce' in context. Let's parse context carefully.

Context: It's a doc about programming/math parser. Sentence: "Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance."

Need sense of introduce meaning to put/place/insert a condition before the '?' in syntax. Options:
1 introduce as cause to know personally. No.
2 bring something new to environment/innovate: e.g. new word processor. Here we "introduce a condition". Could be using that sense (using a condition, include).
3 schematic "introduce" synonyms insert, enclose, inclose, stick in, put in; examples Insert your ticket here. Definition "introduce" (probably placeholder). This sense might be literal inserting? gloss maybe cause to be inserted. Actually sense_key 2:30:03 definition=introduce, synonyms insert/enclose/stick in/put in. In WordNet, this sense is "introduce" as a verb grouping with insertion? Need check. WordNet sense for introduce 2:30:03? Let's recall WordNet 3.0 introduce. There are several senses:
- introduce, present, acquaint (communication) [1]
- introduce, innovate (bring something new) [2]
- introduce, insert, inclose, enclose, stick in, put in [3] ( contact? ) The gloss maybe "put into...". Actually "introduce" as in "insert your ticket".
- introduce, bring in (bring in a new person/object) [4]
- introduce (bring in or establish in new place) [5]
- introduce, insert, infix, enter [6]
- introduce, bring out (debut) [7]
- introduce (put before a body) [8]
- introduce, precede, preface, premise [9]
- introduce, inaugurate, usher in [10]

Need select best: "If we introduce the condition before the?" means "if we insert/put in the condition before the question mark". That's sense 3 or 6.
Sense 3 (2:30:03) synonyms: insert, enclose, inclose, stick in, put in. Examples "Insert your ticket here". This is likely "put in" like insert. But target word introduce. In WordNet, this sense could be "introduce" as in to put in? Let's verify examples. PWN examples for introduce verb 3 maybe: "Insert your ticket here" (class verb.contact?). The synonyms include insert, enclose, inclose, stick in, put in. That seems more physical insertion (ticket).
Sense 6 (2:35:00): "put or introduce into something" synonyms insert, infix, enter. Examples: insert a picture into the text. Maybe includes metaphorical putting into text/body. This sense is "cause to be inserted or introduced" maybe linguistic insertion. Phrase "introduce the condition before the ?" could be "put or introduce into something". But there is sense 8 (put before body) legislation. Not exactly.

Let's inspect WordNet indices for introduce (v.) (maybe from PWN):
1 (introduce, present, make known) "introduce me to your parents"; synonyms: present, acquaint.
2 (introduce, innovate) "A new word processor was introduced".
3 (insert, enclose, inclose, stick in, put in) "Insert your ticket here". Maybe this is physical insertion as in 'introduce a probe into something'? Examples: "introduce the wire into the catheter".
4 (bring in) "introduce a new judge".
5 (bring in or establish in new place/environment) "introduce a rule"? Wait option 5 examples: introduce a rule; introduce exotic fruits. Hmm conflict: option 5 definition "bring in or establish in a new place or environment". Examples exotic fruits. Option 2 examples new word processor. "introduce a rule" could align with bring in/establish (new regulation). Actually WordNet sense 5 maybe "bring in or establish in a new place or environment" with examples: "introduce a rule" and "introduce exotic fruits".
6 (insert, infix, enter) "insert a picture into the text" = introduce textually.
7 (bring out, debut)
8 (put before a body) examples: "introduce legislation"
9 (preface, precede, premise)
10 (usher in, inaugurate)

The phrase "introduce the condition before the ?" in software syntax is like "place/insert the condition". The condition is text/elements in a structure. Sense 6 synonyms insert, infix, enter; example "insert a picture into the text". That suggests textual insertion into something. The direct object "condition" is semantic content, similar to inserting a picture into text. Also the prepositional phrase "before the?" indicates temporal/order (introduce the condition before the ?), not necessarily lexical insertion "into something". But development context: in a function/operator documentation, meaning if we include/introduce the condition before the '?'.

Sense 3 also could be used for "introduce the condition before the question mark" because meaning 'insert'. But the examples are tickets/gates, physical putting. However WordNet glosses schematic; examples don't restrict. We need choose based on context: In documentation, adding condition into expression. It's bringing a condition into the expression. Could be sense 6 or 8 or 5 or 2.

Let's analyze each:
2: bring something new to an environment — “if we introduce the condition” could mean “use a condition” as a new feature? But sense 2 examples "A new word processor was introduced". Here condition before '?' is not necessarily novel, just a conditional phrase; one of the standard syntax. No.
5: bring in or establish a new place or environment; examples introduce a rule. Condition is like rule. "If we introduce the condition before the ?, it will use this condition only if..." This could be establishing a condition. But sense 5 maybe "bring in or establish in a new place or environment" semantic: smth new comes. Not strong.
6: put or introduce into something; examples insert a picture into text. This is "introduce" with medium, like insert text in text. Syntactic insertion of a condition into the piecewise expression.
8: put before (a body), legislative. condition before '?' maybe "before a body"? Body = '?'? unlikely.
10: be a precursor: no.
9: preface: introduces condition before? maybe "preface the condition"? But here "introduce the condition before" not preface.

The target surface form is introduce, object "the condition" before '?' in programming. It likely means "include/insert the condition". In many dictionaries, introduce in technical writing means "bring in for use" maybe sense 5 or 2. In parser manual, "if we introduce the condition before the ?" means if we put it there, place it.

Let's examine WordNet verb frames maybe: Sense 3 (introduce%2:30:03) includes synonyms insert, enclose, stick in, put in. The lexical file 30 = verb_contact? Actually WordNet verb lexicographer file numbers: 29=verbs of paying/giving? 30=Verbs of fighting and hitting? Need not. Usually "insert your ticket" is sense 3 "insert". But "introduce" in that synset? Let's verify from WordNet data. I can recall synsets for introduce from WN:
- introduce, present, acquaint (verb.communication:7.5)
- bring in, introduce (verb.change:?) maybe "bring in" includes examples "a new judge, a nasty rumor".
- introduce (verb.change) "fiddlehead ferns"
- introduce, insert, infix, enter (verb.contact?) "introduce a picture into the text".
- introduce (verb.social) "introduce legislation to Congress".
Actually indices may differ from the candidate list order.

The candidate list already includes sense_key and order. We need to output index number 1-10.

Let's deeply compare sense 3 vs 6. The candidate glosses:
3. definition=introduce | synonyms=insert, enclose, inclose, stick in, put in | examples=Insert your ticket here
6. definition=put or introduce into something | synonyms=insert, infix, enter | examples=Insert a picture into the text

Note sense 3's definition is literally just "introduce" (schematic). That means the synset header is "introduce" and synonyms are physical insertion. It includes "Insert your ticket here". In WordNet, this synset might be literally "introduce" with only that meaning? Wait they removed duplicate? Maybe it's the sense "to put in or introduce"? Let's look up actual WordNet.

Using memory of English WordNet 3.0 introducing synsets:
introduce.v.01: introduce, present, acquaint -> "cause to come to know personally"
introduce.v.02: introduce, innovate -> "bring something new to an environment"
introduce.v.03: introduce, insert, enclose, inclose, stick in, put in -> "introduce"?? (missing gloss?) Examples: "Insert your ticket here"
introduce.v.04: introduce, bring in -> "bring in a new person or object into a familiar environment"
introduce.v.05: introduce -> "bring in or establish in a new place or environment"; examples: "introduce a rule"; "introduce exotic fruits"
introduce.v.06: insert, infix, enter, introduce -> "put or introduce into something"; examples: "insert a picture into the text"
introduce.v.07: introduce, bring out -> "bring before the public..."
introduce.v.08: introduce -> "put before (a body)" examples: "introduce legislation".
introduce.v.09: introduce, precede, preface, premise -> furnish with preface.
introduce.v.10: introduce, inaugurate, usher in -> be a precursor.

So both 3 and 6 have "introduce". Candidate mapping matches indices? Candidate 10 is inaugurate.

Our context: "If we introduce the condition before the?" This is not a physical ticket, it's a condition in a syntax. It means insert/place it. That maps to introduce.v.06? It explicitly says "put or introduce into something" example "insert a picture into the text". Because the condition is placed into the expression before the question mark. Candidate 6 synonyms insert, infix, enter. But note sense 3 synonyms include insert, stick in, put in; could also fit. The difference: sense 6's definition "put or introduce into something" includes the word introduce. It is about inserting something into a medium/text. Example with text and picture. In parser docs, inserting a condition into expression is like inserting in text/computer language. So likely 6.

However, examine candidate order: The target context uses object "the condition" before '?' and preposition "before". "Introduce ... before ..." Not "introduce into". Candidate 6 examples "insert a picture into the text". Candidate 3 examples "Insert your ticket here" and synonyms "stick in, put in". Which is closer to "introduce the condition before"? The step of writing condition before '?' is not exactly "into something"; it's positional "before" not "into". But semantic could be "introduce" as "bring in" (sense 5) maybe.

Let's consider sense 5: definition "bring in or establish in a new place or environment" examples "introduce a rule; introduce exotic fruits". In technical manuals, "introduce a condition" (e.g., if we introduce the condition before the?) might mean "bring in a condition (for evaluation)" like introducing a rule. But the adverbial "before the?" specifies location, not new environment. The sentence says "If we introduce the condition before the? it will use this condition only if it is true...". It is explaining syntax: you can place condition before '?' (conditional operator). So it's an instruction specifying token order: "introduce" = put/include. This aligns more with sense 6 (put/introduce into something) or 3 (insert).

Need decide between 3 and 6. Since we need answer single best. Let's check lexical features: "introduce" plus object "the condition" without "into" or "in" might still be sense 5/2. The direct object of introduce can be "condition". In English, "introduce a condition" can mean establish/require a condition. But here specific: "before the ?" — placing in a specific position. "introduce" in programming contexts often used to mean "add/insert". Which WordNet sense is 'add'?

Maybe the sense 6 can take "into"? Yes "put or introduce into something". The example: "insert a picture into the text". The text says "introduce the condition before the ?". It doesn't have "into". But could be a kind of "insert" before a marker.

Let's explore other dictionaries: introduce (verb) Cambridge: "to put something into use, operation, or a place for the first time". For condition specifically: "introduce conditions" meaning to create/add them. That is sense 5. But programming usage: "If we introduce the condition before the ?"—means if we put/include it.

The prompt says: "WordNet glosses are schematic. Use sentence context, the examples, and the synonyms to choose the best indexed sense." We must not hedge. Need produce JSON only.

Identify best: probably 6. Let's reason why. In context, "introduce the condition before the ?" is not causing someone to know, not bringing novelty (sense 2 or 5 in 'new'?), not inserting physical ticket (sense 3). It is syntactically inserting an element (condition) into an expression/markup. Sense 6: "put or introduce into something" with synonyms insert, infix, enter, example "insert a picture into the text". The preposition "before" indicates position, but the core action is insertion/integration of something into a structured language/text. This is the best among options.

But wait, candidate 3 also has synonyms "insert, put in". Why not 3? Because sense 3 definition "introduce" is uninformative, likely the same as sense 6? Actually in WordNet, both are insertion senses. Let's see difference: Sense 3 synonyms: insert, enclose, inclose, stick in, put in. This is a broader verb.contact/change with frames like "Somebody ----s something PP". Examples: "insert your ticket here" (into slot). Sense 6 synonyms: insert, infix, enter, introduce. Example: "insert a picture into the text". More about adding to text/structured data. Example includes "text". Our context is text/language/syntax. So 6 is best.

Let's be careful: There is no mention of examples for sense 6 "Insert a picture into the text". It aligns with a 'condition' inserted into a textual representation. Good.

Could there be sense 8 "put before (a body)" -> "introduce legislation" maybe "introduce the condition before the ?" has "before" and "body" (the ? is punctuation). But no, "before the ?" is not a deliberative body.

Sense 9 "preface"? If condition comes before '?', it introduces the '?'. But the direct object is condition, not question mark. Actually "introduce the condition before the ?" means if condition is introduced (placed) before ?. Not preface.

Thus final index 6.

Should we output exactly {"sense_index": 6}. Only JSON.

Double-check instructions: "Return only a JSON object exactly like {"sense_index": 3}." So final must be {"sense_index": 6}. No extra.