[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: use
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 introduce the condition before the? it will <t>use</t> 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=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:
 We need perform WSD. We must return only {"sense_index": N}. Need choose best indexed sense for target use in sentence from documentation. Context: "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." 'use' as verb: parser will put into service / utilize this condition only if it is true. Candidate 1: put into service; make work or employ for a particular purpose or inherent purpose; synonyms utilize, apply, employ. Examples use your head; use Spanish at home. This fits: 'it will use this condition' meaning utilize/apply this condition only if true. Candidate 4: seek or achieve an end by using to one's advantage. Not about advantage. Candidate 5: avail oneself to; practice; apply a principle. Might also possible but 'use this condition' = employ it (1). Candidate 1 best.
Need response exactly JSON.

provider: AkashML


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: true
Target surface form: true
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 introduce the condition before the? it will use this condition only if it is <t>true</t>, if it finds a? without any condition, it will enter in the last instance. {}: MathML container.

Candidate senses:
1. sense_key=true%3:00:00:: | definition=consistent with fact or reality; not false; ; - B. Russell | examples=the story is true; it is undesirable to believe a proposition when there is no ground whatever for supposing it true
2. sense_key=true%5:00:00:accurate:00 | definition=accurately placed or thrown | synonyms=dead on target | examples=his aim was true; he was dead on target
3. sense_key=true%5:00:02:faithful:00 | definition=devoted (sometimes fanatically) to a cause or concept or truth | examples=true believers bonded together against all who disagreed with them
4. sense_key=true%3:00:04:: | definition=expressing or given to expressing the truth | synonyms=truthful | examples=a true statement; gave truthful testimony
5. sense_key=true%5:00:00:typical:00 | definition=conforming to definitive criteria | examples=the horseshoe crab is not a true crab; Pythagoras was the first true mathematician
6. sense_key=true%5:00:00:trustworthy:00 | definition=worthy of being depended on | synonyms=dependable, honest, reliable | examples=a dependable worker; an honest working stiff
7. sense_key=true%5:00:00:sincere:00 | definition=not pretended; sincerely felt or expressed | synonyms=genuine, unfeigned | examples=genuine emotion; her interest in people was unfeigned
8. sense_key=true%5:00:00:real:02 | definition=rightly so called | examples=true courage; a spirit which true men have always admired
9. sense_key=true%5:00:00:geographic:00 | definition=determined with reference to the earth's axis rather than the magnetic poles | examples=true north is geographic north
10. sense_key=true%5:00:00:legitimate:00 | definition=having a legally established claim | synonyms=lawful, rightful | examples=the legitimate heir; the true and lawful king
11. sense_key=true%5:00:00:harmonious:00 | definition=in tune; accurate in pitch | synonyms=on-key | examples=a true note
12. sense_key=true%5:00:00:even:01 | definition=accurately fitted; level | synonyms=straight | examples=the window frame isn't quite true

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 Word Sense Disambiguation for target word form "true" in context: documentation about kalgebra parser. Sentence: "If we introduce the condition before the ? it will use this condition only if it is <t>true</t>, if it finds a ? without any condition, it will enter in the last instance." This is a Boolean/logical condition: condition is evaluated as true vs false. They are talking in programming context: condition is used only if it is true. The adjective meaning consistent with fact or reality; not false. In computing, Boolean truth. Sense 1 definition: consistent with fact or reality; not false; examples "the story is true; it is undesirable to believe a proposition ... supposing it true". This matches Boolean true/false, condition true. Other senses: accurate aim, faithful, truthful, typical, dependable, sincere, real, geographic, legitimate, harmonious, even. None fits condition boolean. Therefore choose sense 1. Need JSON. Ensure only JSON object exactly. No hedge.

format: unknown

native_finish_reason: stop

provider: Together

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:
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 introduce the condition before the? it will use this condition only if it is true, if it <t>finds</t> a? without any condition, it will enter in the last instance. {}: MathML container.

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:
 The user wants me to perform Word Sense Disambiguation for the word "finds" in the given context.

Let me analyze the context. The text is technical documentation about a parser for kalgebra (a mathematical expression language). The specific sentence is:
"When the parser finds a function, it checks if abc is an operator."

Here "finds" means the parser discovers/identifies/comes across a function while parsing. It's about detecting something during processing.

Now let's look at the candidate senses:
1. find%2:40:02 - come upon, as if by accident; meet with (happen, chance, bump, encounter)
2. find%2:39:02 - discover or determine the existence, presence, or fact of (detect, observe, discover, notice)
3. find%2:40:00 - come upon after searching; find the location of something that was missed or lost
4. find%2:32:00 - establish after calculation, investigation, etc.
5. find%2:31:10 - come to believe on basis of emotion, intuition
6. find%2:39:01 - perceive or be contemporaneous with (witness, see)
7. find%2:40:01 - get something for specific purpose
8. find%2:36:00 - make a discovery, new finding
9. find%2:31:09 - make a discovery
10. find%2:40:03 - obtain through effort
11. find%2:32:01 - decide on and make declaration
12. find%2:30:00 - receive specified treatment
13. find%2:39:05 - perceive oneself to be in a condition
14. find%2:40:15 - get or find back; recover
15. find%2:38:10 - succeed in reaching; arrive at
16. find%2:30:13 - accept and make use of personality

For "When the parser finds a function", the parser detects/identifies the presence of a function. This matches best with sense 2: "discover or determine the existence, presence, or fact of" with synonyms detect, observe, discover, notice.

The parser is noticing/detecting the existence of a function during parsing. It's not searching for it (sense 3), not accidentally encountering it (sense 1), not making a new scientific discovery (senses 8, 9), not obtaining it (senses 7, 10), not perceiving it visually (sense 6), etc.

Sense 2 (find%2:39:02::) is the standard sense for detecting/identifying something's presence, commonly used in computing contexts where a system "finds" a token, pattern, feature, etc.

The answer should be a JSON object: {"sense_index": 2}.

provider: Ambient


[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: instance
Target surface form: instance
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 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 <t>instance</t>. {}: MathML container.

Candidate senses:
1. sense_key=instance%1:11:00:: | definition=an occurrence of something | synonyms=case, example | examples=it was a case of bad judgment; another instance occurred yesterday
2. sense_key=instance%1:09:00:: | definition=an item of information that is typical of a class or group | synonyms=example, illustration, representative | examples=this patient provides a typical example of the syndrome; there is an example on page 10

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 instance. Context technical: kalgebra parser, defining conditional operations, condition before ?, otherwise enters in last <t>instance</t>. The phrase "last instance" maybe "last instance" like last occurrence/case? Need decide between sense 1 occurrence of something (case, example), sense 2 item of information typical of a class/group (example, illustration). The context: "it will enter in the last <t>instance</t>." In computing/parser, "instance" might mean occurrence/case (instance of something). "Last instance" means the last case/occurrence. Sense 1 definition an occurrence of something, synonyms case, example. Examples "another instance occurred yesterday". This matches event/occurrence. Sense 2 more like representative example. Here "last instance" refers to conditional branch case, not a typical example. So choose sense 1. Return JSON.

provider: Parasail


[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:
: =: It is used to define a variable value.?: 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, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be <t>used</t> to define a container. Mainly useful for working with piecewise.

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:
We need choose single best sense index for target 'used' in sentence context. Must output JSON only {"sense_index": N}. Let's analyze.

Target lemma: use, surface form used, context: It is used to define a variable value. Also another "<t>used</t>" in sentence: "{}: MathML container. It can be <t>used</t> to define a container. Mainly useful for working with piecewise." We need one sense index covering likely 'used' modal? The candidates likely are all verb senses of 'use' (2:34... etc), not adjective. The form is passive / past participle "is used to" meaning 'can be put into service; employed for purpose' to define. Among candidates:

1 use%2:34:01:: definition put into service; make work or employ for a particular purpose or for its inherent or natural purpose; examples: use your head!, we only use Spanish at home. This fits "It can be used to define a container" = can be put into service to define. Passive.

5 use%2:41:04:: avail oneself to; apply a principle; practice religion. Not exactly.

6 use%2:41:03:: habitually did in past tense ("She used to call") - but surface is 'used' but context "It is used to define" not "used to" habitual. So not 6.

Maybe "be used to" idiomatic = employed/utilized. That's sense 1.

Need ensure index numbering: Candidate senses listed 1..6. The first is use%2:34:01:: synonyms utilize... The answer JSON index = 1.

But need ensure question about "It is used to define" vs "It can be <t>used</t> to define" = put into service. Yes. So final output only {"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: define
Target surface form: define
Context:
: =: It is used to define a variable value.?: 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, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to <t>define</t> a container. Mainly useful for working with piecewise.

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:
The user wants me to perform Word Sense Disambiguation on the target word "define" in a specific context. The context is about KAlgebra (a calculator in KDE), discussing syntax like `: =` to define variable values, `?` for piecewise conditions, and `{}` as MathML containers that can be used to "define" a container.

I need to choose from 5 candidate senses:

1. determine the essential quality of (synonyms: specify, delineate, delimit, delimitate)
2. give a definition for the meaning of a word (example: Define `sadness')
3. determine the nature of (example: What defines a good wine?)
4. show the form or outline of (synonyms: delineate; example with camera defining smallest object)
5. decide upon or fix definitely (synonyms: specify, set, determine, fix, limit; examples: fix the variables; specify the parameters)

The context talks about programming/calculator usage: "it is used to define a variable value", "piecewise condition definition", "we can define conditional operations", "{}: MathML container. It can be used to define a container."

This is about establishing/fixing/setting the value or nature of something in a computational context. The most relevant sense seems to be sense 5: "decide upon or fix definitely" with synonyms specify, set, determine, fix, limit. This matches the idea of defining a variable value, specifying parameters, fixing variables.

Sense 1 "determine the essential quality of" and sense 3 "determine the nature of" are more about essential characteristics. Sense 2 is about defining words/definitions (lexical). Sense 4 is about showing outlines (visual).

In a programming context, "define a variable" or "define a container" means to set or specify its value or contents. This aligns best with sense 5: decide upon or fix definitely.

Let me reconsider. In programming, "define" often means to specify exactly, to set the value of. The example "fix the variables; specify the parameters" is very close to "define a variable value" and "define a container."

So the answer should be sense_index: 5.

I need to return only {"sense_index": 5} as 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: useful
Target surface form: useful
Context:
?: 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, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly <t>useful</t> for working with piecewise. Now you could ask me, why should the user mind about MathML?

Candidate senses:
1. sense_key=useful%3:00:00:: | definition=being of use or service | synonyms=utile | examples=the girl felt motherly and useful; a useful job
2. sense_key=useful%5:00:00:functional:00 | definition=having a useful function | synonyms=utilitarian | examples=utilitarian steel tables

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 "useful" in given context. We need output JSON {"sense_index": N}. User gave candidate senses 1 and 2. Need choose.

Let's analyze context. Text: "Piecewise condition definition... {}: MathML container. It can be used to define a container. Mainly <t>useful</t> for working with piecewise. Now you could ask me, why should the user mind about MathML?" So "useful" meaning being of use or service, practical beneficial. Sense 1 definition being of use or service, synonyms utile. Sense 2 is having a useful function, adjective relating to functional/ utilitarian with connotation of design: "utilitarian steel tables." Here "mainly useful for working with piecewise" means of use/service. So sense 1 best. Return JSON {"sense_index":1}. Note instructions say don't answer with WordNet sense key; just JSON. Also don't hedge. Provide only JSON.

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: work
Target surface form: working
Context:
?: 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, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for <t>working</t> with piecewise. Now you could ask me, why should the user mind about MathML?

Candidate senses:
1. sense_key=work%2:41:02:: | definition=exert oneself by doing mental or physical work for a purpose or out of necessity | examples=I will work hard to improve my grades; she worked hard for better living conditions for the poor
2. sense_key=work%2:41:00:: | definition=be employed | synonyms=do work | examples=Is your husband working again?; My wife never worked
3. sense_key=work%2:41:03:: | definition=have an effect or outcome; often the one desired or expected | synonyms=act | examples=The voting process doesn't work as well as people thought; How does your idea work in practice?
4. sense_key=work%2:35:02:: | definition=perform as expected when applied | synonyms=function, operate, go, run | examples=The washing machine won't go unless it's plugged in; Does this old car still run well?
5. sense_key=work%2:36:00:: | definition=shape, form, or improve a material | synonyms=work on, process | examples=work stone into tools; process iron
6. sense_key=work%2:29:00:: | definition=give a workout to | synonyms=exercise, work out | examples=Some parents exercise their infants; My personal trainer works me hard
7. sense_key=work%2:38:00:: | definition=proceed along a path | synonyms=make | examples=work one's way through the crowd; make one's way into the forest
8. sense_key=work%2:41:04:: | definition=operate in a certain place, area, or specialty | examples=She works the night clubs; The salesman works the Midwest
9. sense_key=work%2:41:05:: | definition=proceed towards a goal or along a path or through an activity | examples=work your way through every problem or task; She was working on her second martini when the guests arrived
10. sense_key=work%2:38:02:: | definition=move in an agitated manner | examples=His fingers worked with tension
11. sense_key=work%2:36:01:: | definition=cause to happen or to occur as a consequence | synonyms=bring, play, wreak, make for | examples=I cannot work a miracle; wreak havoc
12. sense_key=work%2:41:01:: | definition=cause to work | synonyms=put to work | examples=he is working his servants hard
13. sense_key=work%2:36:09:: | definition=prepare for crops | synonyms=cultivate, crop | examples=Work the soil; cultivate the land
14. sense_key=work%2:42:10:: | definition=behave in a certain way when handled | examples=This dough does not work easily; The soft metal works well
15. sense_key=work%2:41:10:: | definition=have and exert influence or effect | synonyms=influence, act upon | examples=The artist's work influenced the young painter; She worked on her friends to support the political candidate
16. sense_key=work%2:41:11:: | definition=operate in or through | examples=Work the phones
17. sense_key=work%2:41:12:: | definition=cause to operate or function | examples=This pilot works the controls; Can you work an electric drill?
18. sense_key=work%2:39:10:: | definition=provoke or excite | examples=The rock musician worked the crowd of young girls into a frenzy
19. sense_key=work%2:37:10:: | definition=gratify and charm, usually in order to influence | examples=the political candidate worked the crowds
20. sense_key=work%2:36:12:: | definition=make something, usually for a specific function | synonyms=shape, form, mold, mould, forge | examples=She molded the rice balls carefully; Form cylinders from the dough
21. sense_key=work%2:35:14:: | definition=move into or onto | examples=work the raisins into the dough; the student worked a few jokes into his presentation
22. sense_key=work%2:35:00:: | definition=make uniform | synonyms=knead | examples=knead dough; work the clay until it is soft
23. sense_key=work%2:34:10:: | definition=use or manipulate to one's advantage | synonyms=exploit | examples=He exploit the new taxation system; She knows how to work the system
24. sense_key=work%2:31:13:: | definition=find the solution to (a problem or question) or understand the meaning of | synonyms=solve, work out, figure out, puzzle out, lick | examples=did you solve the problem?; Work out your problems with the boss
25. sense_key=work%2:30:14:: | definition=cause to undergo fermentation | synonyms=ferment | examples=We ferment the grapes for a very long time to achieve high alcohol content; The vintner worked the wine in big oak vats
26. sense_key=work%2:30:13:: | definition=go sour or spoil | synonyms=sour, turn, ferment | examples=The milk has soured; The wine worked
27. sense_key=work%2:30:10:: | definition=arrive at a certain condition through repeated motion | examples=The stitches of the hem worked loose after she wore the skirt many times

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 target lemma work, surface form working in context: "Mainly useful for <t>working</t> with piecewise." The sentence describes MathML container useful for working with piecewise (piecewise definitions). Need decide sense. "working with piecewise" = interacting/operating/dealing with piecewise. Candidate senses: 1 exert oneself by doing mental or physical work; 2 be employed; 3 have an effect or outcome; 4 perform as expected when applied; 5 shape material; 6 give workout; 7 proceed along path; 8 operate in a certain place, area, or specialty; 9 proceed towards a goal; ... 16 operate in or through; 17 cause to operate; 23 use or manipulate to one's advantage; 24 solve. The phrase "useful for working with piecewise" likely means useful for using/manipulating/interacting with piecewise conditions. WordNet sense 8 work%2:41:04 operate in a certain place, area, or specialty examples "She works the night clubs; The salesman works the Midwest" — that's operate within an area, not quite. Sense 16 operate in or through "Work the phones" transitive not with. Sense "working with X" might be intransitive doing tasks. However the noun piecewise is a grammatical feature. "working with piecewise" can be paraphrased as "using piecewise". Which sense covers "use" maybe sense 1 (doing mental work) or sense 9 (proceed through an activity). Example: "She is working on her second martini" sense 9 includes work on. But "working with" maybe to handle. WordNet entry work (v) has a sense "work with" maybe "use or manipulate to one's advantage" = exploit, examples "She knows how to work the system" uses work + object. Here object is "with piecewise", not exploit. The phrase "working with" someone/something often means collaborating, but in technical context means interacting with/manipulating. The schematic gloss "exert oneself by doing mental or physical work for a purpose" fits "for working with piecewise" as performing mental/physical operations on/with it. Could be sense 1. But sense 1 examples are "work hard to improve", "worked hard for". "working with piecewise" is not about effort but about operation.

Let's examine WordNet verb work senses. There are many senses. Index given. Need choose best. Context: MathML container; it can be used to define a container; mainly useful for working with piecewise. This is from KAlgebra documentation, describing a function of the MathML container: used when dealing with piecewise definitions. So "working" = "operating / dealing". Candidate sense 8: operate in a certain place, area, or specialty. Example: "This salesman works the Midwest" transitive, but "working with piecewise" not operate in a place. Candidate sense 9: proceed towards a goal or along a path or through an activity: "work your way through every problem or task; She was working on her second martini when the guests arrived." This can be intransitive with through/on. "working with piecewise" means dealing/proceeding through piecewise operations? Hmm.

Candidate sense 1 "exert oneself by doing mental or physical work for a purpose or out of necessity" is broad. If the container is useful when doing mental/physical (computational) work with piecewise, it's plausible. It may be too generic.

Maybe the best is sense 1 because "working with" means "exerting oneself by doing mental/physical work with piecewise". Let's inspect all candidates.

2 be employed: no.
3 have an effect/outcome: not.
4 perform as expected when applied: function. "useful for working with piecewise" not function.
5 shape material: no.
6 give workout: no.
7 proceed along path: no (with piecewise not path).
8 operate in a certain place, area, or specialty. "Piecewise" isn't location/specialty, but maybe "domain"? The example "salesman works the Midwest". Could parody "works piecewise" as an area? Sentence uses "with piecewise", not direct object.

9 proceed towards a goal/path/activity: "working with piecewise" as proceeding through activity. Example "working on her second martini" with "on". "with" is a little different but could fit "working with every problem".

10 move agitated: no.
11 cause to happen: no.
12 cause to work: no.
13 prepare crops: no.
14 behave when handled: no.
15 influence: no.
16 operate in or through: "Work the phones" no.
17 cause to operate: no.
18 provoke: no.
19 gratify and charm: no.
20 shape material: no.
21 move into or onto: "work the raisins into the dough"; no.
22 make uniform: no.
23 use or manipulate to one's advantage: object is "with piecewise" not exploited. But "work the system" is transitive; here "working with" piecewise = manipulating/operating it. The gloss says "use or manipulate to one's advantage | exploit" examples "exploit the new taxation system". Could be remotely close if we ignore "to one's advantage". However the preposition "with" suggests collaboration, not exploitation.

24 solve: "work out". no.

25 ferment etc no.

27 arrive condition through repeated motion.

So likely 1 or 9 or maybe 8. Let's consider typical WSD for "working with". In WordNet, "work" sense 1 is broad exert. "working with" often maps to sense 1 in SemCor? Let's think of examples: "I am working with wood" could be sense 5? Actually "working with wood" is shaping. "working with children" is employment or interaction. Here "working with piecewise" is using. The phrase "useful for working with piecewise" means "useful when you deal with piecewise (conditions)". That is closest to sense 9 "proceed towards a goal or along a path or through an activity". The example "work your way through every problem or task" matches using the container to work with piecewise constructs/tasks. "Working with piecewise" = processing through piecewise definitions. But sense 9 examples include "work your way through every problem or task" which is transitively phrasal with "way through". Not exactly "working with" maybe.

Maybe sense 8 "operate in a certain place, area, or specialty" examples "artist works in oils" not listed, but "salesman works the Midwest" = deals with a particular domain. "piecewise" is a domain/specialty of operation. But again "with".

Let's examine sentence semantics: "It can be used to define a container. Mainly useful for <t>working</t> with piecewise." The container is a tool used while operating/interacting with piecewise. This is like "useful for working with data" -> sense 1? Many wordsense datasets may annotate "working" as "work%2:41:02::" (exert oneself). Actually the first sense in WordNet for verb work is "work%2:41:02::". This is the broadest. There's also "work%2:41:00::" be employed. In many WSD tasks, the common sense for working in "working with X" may be work%2:41:02::. Let's search memory: WordNet 3.0 sense 1 for work.v.01? The sense key work%2:41:02:: has definition "exert oneself by doing mental or physical work for a purpose or out of necessity". WordNet listing: work, do work (be employed) is word? Actually senses:
- S: (v) work (exert oneself by doing mental or physical work for a purpose or out of necessity) [sense 1]
- S: (v) work, do work (be employed)
- S: (v) work, act (have an effect or outcome; often the one desired or expected)
- S: (v) function, work, operate, go, run (perform as expected when applied)
... Among this, "working with" in generic sense is likely sense 1.

But the instruction says use context, examples, synonyms. Do not hedge. Choose single best. Need return JSON.

Could also be sense 8: "operate in a certain place, area, or specialty" but object is not location. Piecewise is not a place. Sense 16 "operate in or through" with object "phones" not piecewise. 8 "The salesman works the Midwest" maybe transitive. "work with" not transitive. Given preposition "with" and "useful for ... with piecewise", sense 9 "proceed towards a goal... through an activity" with "working on her second martini" includes prepositions. But the example for 9 uses "work on" and "work your way through". The gloss: proceed towards a goal or along a path or through an activity. That matches "working with piecewise" = proceeding through piecewise definitions? Not strongly.

Let's think about the target surface is gerund/present participle "working" in a prepositional phrase "for working with piecewise." In WordNet verbs as gerund keep sense. "Container useful for working with piecewise" almost means "useful for operations on piecewise". The closest synset for "work" as "perform operations on"? There are senses like "work%2:36:00:: shape, form, or improve a material" or "work%2:35:00:: make uniform" etc. But piecewise is not a material. Maybe "working with piecewise" = "use or manipulate to one's advantage" (exploit) no.

Maybe if we parse "working with piecewise" = "using piecewise", the word in the documentation says "Mainly useful for working with piecewise" meaning MathML container is useful in connection with handling piecewise elements. The phrase is about "working with" in the sense of "employing" or "using". The WordNet synonym "do work" (be employed) might be too human job. But "work" can mean "function/operate". "Useful for working with piecewise" = "useful for it to work with piecewise" maybe the container works/functions in conjunction with piecewise. Sense 4 function/operate as expected. Example "Does this old car still run well?" If the container works with piecewise, it operates with piecewise. But "working with" implies active relationship.

Maybe best is sense 8 "operate in a certain place, area, or specialty" because MathML container works (operates) in the context of piecewise? Hmm.

Let's systematically evaluate. The instructions: "WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge." The best indexed sense among candidates. We need decide between 1, 8, 9 perhaps. Let's consider the candidate indices numbering from list.

Sense 1: exert oneself by doing mental or physical work for a purpose. Context: The MathML container is useful when one is doing work (mental/computational) with piecewise. Since "working with piecewise" can mean doing computational operations with it, fits generic mental work. Examples: "I will work hard to improve my grades" - effort; "worked hard for better living conditions" - effort. In context, there's no notion of hard work; it's just use. But generic "work" can be neutral.

Sense 8: operate in a certain place, area, or specialty. Examples: night clubs, Midwest. Piecewise is an area/specialty of math? "Working with piecewise" maybe "operating in the area of piecewise". But the examples use direct object, not "with". The preposition "with" makes less likely.

Sense 9: proceed towards a goal or along a path or through an activity. Examples: "work your way through every problem or task; She was working on her second martini when the guests arrived." This sense covers processing tasks or activities. "working with piecewise" is an activity. It includes examples with "on" and "through". "with" could be similar.

Sense 23: use or manipulate to one's advantage. Examples "work the system". "working with piecewise" if it means "use/manipulate" maybe but exploitation connotation not right.

Sense 16: operate in or through; examples "work the phones". Transitive "work the phones" means use telephones. "with piecewise" maybe not.

Could there be a WordNet sense for "work" with "with" meaning "be engaged in"? Let me recall exact WordNet senses with frames. There may be a sense "work%2:41:09::" (not in list? Candidate 9 is proceed towards a goal). List may be incomplete relative to WordNet but given. It includes "work%2:41:05 proceed towards a goal..." Maybe there is sense "work on/at" in "work on a cargo ship"? Actually candidate 8 covers operate in a place/area/specialty with frames "The bulldozer worked the side of the mountain?" Okay.

Let's check if there is a sense "work" with preposition "with" in WordNet: Perhaps "work%2:41:07::" (move into etc.) maybe not. But the candidate list includes no specific "work with = cooperate", which is often sense 1 or? In WordNet, cooperate is separate lexname? Let's look at WordNet verb work senses. The sense keys include:
- work%2:41:02 exert
- work%2:41:00 be employed
- work%2:41:03 have effect
- work%2:35:02 function
- work%2:36:00 shape material
- work%2:29:00 give workout
- work%2:38:00 proceed along path
- work%2:41:04 operate in a certain place, area, specialty
- work%2:41:05 proceed towards a goal...
- work%2:38:02 move agitated
- work%2:36:01 cause to happen
- work%2:41:01 cause to work
- work%2:36:09 cultivate
- work%2:42:10 behave when handled
- work%2:41:10 influence
- work%2:41:11 operate in or through
- work%2:41:12 cause to operate
- work%2:39:10 provoke/excite
- work%2:37:10 charm
- work%2:36:12 make something
- work%2:35:14 move into/onto
- work%2:35:00 make uniform
- work%2:34:10 exploit
- work%2:31:13 solve
- work%2:30:14 ferment
- work%2:30:13 sour
- work%2:30:10 stitches worked loose.

The ordering seems by lexicographer file id and perhaps frequency. Generic sense 1 appears first. Given the list, for "working with piecewise" no perfect sense, generic sense 1 may be the catch-all. But instructions warn not to rely solely on gloss; use context. It may expect more specific sense. Which specific sense best captures handling piecewise? The examples for sense 9 "work your way through every problem or task" strongly match a problem/task context: dealing with piecewise definitions is a task; the container helps proceed through that activity. Actually "Piecewise is the way we can define conditional operations... {}: MathML container... useful for working with piecewise." It's about a tool helpful for handling/processing a specific construct. This is analogous to "work your way through every problem or task". The verb in 9 has frame: "Somebody ----s on something"? Could be "working with" not exactly. But "working with piecewise" can be paraphrased as "working on piecewise" perhaps.

Sense 8 "operate in a certain place, area, or specialty" could also be about a specialty: working with piecewise functions as a specialty. Example "She works the night clubs" no.

Which one is more likely in a WSD dataset? Let's search memory from WSD labs: Sentence possibly from documentation, target working in "useful for working with piecewise." I can guess this is from "Unified Verb Sense Inventory?" There may be an annotated gold sense. I don't know but can infer. If it's a technical computing context, they might label as sense 4 "function, operate, go, run" because "working with piecewise" describes the container working/functioning with piecewise element. But the phrase is "for working with" not "works with".

Let's parse grammar: "{}: MathML container. It can be used to define a container. Mainly useful for working with piecewise." The phrase "useful for working with piecewise"—if we replace "working with" with "dealing with" or "handling". Which candidate maps to handling? None exactly. The closest near-synonyms: function, operate, go, run (sense 4), and operate (sense 8, 16). "Working with" as "operating with"—sense 4 synonyms function/operate/go/run. Example: "The machine won't go unless..." It can be used with piecewise -> functions alongside piecewise. But the container is not the one performing; the user performs. Actually "useful for working with piecewise" means the container is useful to the user for the activity of using/operating piecewise. "Working" here is active verb by person.

Sense 23 "use or manipulate to one's advantage" synonyms exploit. "She knows how to work the system" is similar to using a system. The phrase "working with piecewise" implies using a feature. But exploit has negative/connotation.

Sense 9's definition is "proceed towards a goal or along a path or through an activity". This is broad activity, not necessarily handling an object. In context, "working with piecewise" is an activity (defining conditions). The container helps you proceed through it. I think sense 9 is a reasonable specific choice.

However, there is also sense 1 "exert oneself by doing mental or physical work". "Useful for working with piecewise" = useful for doing work with piecewise. In technical docs, "working with X" often simply means "interacting with/operating on X". WordNet generic sense 1 arguably covers that. Let's test paraphrase: "Mainly useful for doing mental or physical work with piecewise"—mental work, yes, because defining conditions is mental. Example "I will work hard to improve my grades" implies hard work not just using. But the gloss includes "for a purpose or out of necessity", not necessarily hard. So yes.

But question perhaps expects "operate in a certain place, area, or specialty" because piecewise is a domain or area? Let's evaluate sense 8 examples "She works the night clubs; The salesman works the Midwest" = works in a domain/region; can be transitive with domain. "working with piecewise" = working in the area of piecewise. However preposition "with" suggests instrument, not domain.

Sense 16 "operate in or through" examples "Work the phones" = use a medium. Piecewise could be a medium? Not likely.

Sense 4 "function" = "useful for working with" maybe if container functions correctly with piecewise. But gerund subject is implicit user, not container.

Let's think of possible gold in WordNet sense assign. The word "working" as gerund in "useful for working with" is likely not functioning but activity. Maybe the target surface "working" in this sentence is part of progressive/gerund phrase; no direct object. The sense "be employed" is not; this isn't a job. The sense "exert oneself..." is broad; many gerunds use it. It might be default. In WSD, generic sense should be chosen only if no specific sense matches. Here no specific sense strongly matches, so generic 1 is safest. The "do not hedge" instruction but we must choose single best. Which is best? Perhaps 1.

I want to consider "working with" could be a collocation that fits sense 8 or 23 in terms of "work the X". However "work with X" as a phrasal verb means "cooperate with X" or "use X as a material/tool". E.g., "I work with wood." The sense of "working (as a craft) with wood" is sense 5 (shape material) if the object is material. For abstract objects (piecewise) it's still working with constructs. Could there be a sense "apply effort to" (sense 1). For a carpenter working with wood, WordNet may annotate sense 5? Let's verify: "He works in wood" = shapes material. "He is working with wood" maybe same. But piecewise is not a material.

WordNet sense for "work with" as cooperate maybe missing? There is "collaborate, join forces, cooperate, get together" separate words. Not candidate. So if the meaning is "use/manipulate", candidate 23 possible. But the gloss says "use or manipulate to one's advantage". The example "She knows how to work the system" is about exploiting for personal gain. In our context, no personal advantage. So 23 likely not.

Candidate 9's second example "She was working on her second martini when the guests arrived" is not effort/progress but consumption; still "proceed through an activity". The container is useful for proceeding through activity with piecewise. Hmm.

Candidate 1's first example "I will work hard to improve my grades" shows purposeful mental effort. Using a container to define piecewise is purposeful. So sense 1 fits well if broad.

Could answer be 1? I think the safest is 1. But I want to be more rigorous. Let's reconstruct from perspective of an English linguist fine-grained WSD. The task says choose the best indexed sense; use context, examples, synonyms. We need compare possible candidates directly.

Candidate 1: Definition: exert oneself by doing mental or physical work for a purpose or out of necessity. Synonyms: none listed but likely "work". Examples show human agent exerting effort. In our context, the user of the container exerts mental effort doing operations with piecewise. However, "working with piecewise" is not necessarily effortful; it's just using it. But the gloss covers purpose-driven work.

Candidate 8: operate in a certain place, area, or specialty. The context: piecewise is a kind of operation/definition; the container is useful for working (operating) with piecewise. But the examples are of physical/social domains (night clubs, Midwest), not abstract grammatical features. The lexical subcategorization is direct object, not "with". Less likely.

Candidate 9: proceed towards a goal or along a path or through an activity. Example "work your way through every problem or task" - this is exactly a tool helpful for working through piecewise (problem/ task). The preposition in example "on" (working on her martini) denotes engagement in an activity. "with piecewise" also denotes engagement. The definition is close but maybe too focused on progression/goal. The container is not helping you progress, just helps you work (use) piecewise. But one could say it helps work (as activity) with piecewise.

Candidate 4: perform as expected when applied. Example machines. The container is not the one working; the user is. Unless parse "useful for [the container] working with piecewise"? The phrase "for working with" has a missing agent; reading is user. So not 4.

Candidate 23: use/manipulate to advantage. Could be "working with the system". But "piecewise" isn't a system to exploit, and preposition "with" isn't the typical "work the system".

Thus 1 and 9 remain. Which is more specific and contextually apt? Sense 1 is very broad. Given we are doing fine-grained WSD, the most relevant specific sense may be 9. But the phrase "working with piecewise" is not exactly "working on/through a task". Let's inspect sense 9's WordNet frame maybe: "Somebody ----s" or "Somebody ----s PP". This sense includes "work on it", "work at it", "work at" maybe as effort. Actually WordNet sense 9 (work.v.09) semantics: "proceed towards a goal or along a path or through an activity." Synset includes "work" only? The examples: "work your way through every problem or task"; "She was working on her second martini when the guests arrived." It conveys gradual progress through something. In "working with piecewise" there isn't an implication of progress through piecewise; it's about handling a specific feature. Sense 1 better captures general engagement in the activity. Hmm.

Maybe there is a WordNet sense not represented in list: "work%2:36:13::" = "cause to work" etc. But list given. There is also sense "work%2:41:13::" maybe "be engaged in" with example "We worked all morning" not in list? We only have provided list.

Let's recall all WordNet senses for verb work. From WordNet 3.1 maybe more. The candidate list includes 27 senses. Let's enumerate by sense key and definition; it seems quite complete. Does it include "work%2:41:09::"? Not in list? Maybe candidate 9 is work%2:41:05. There may be "work%2:41:06::" (make uniform?) already separate. Let's not worry.

One more candidate: sense 2 "be employed; do work". "working with piecewise" could mean employed? no.

Maybe the best is sense 8: because "piecewise" is an area/specialty within KAlgebra. " operate in a certain place, area, or specialty". The example "The salesman works the Midwest" means he does business in a region; "working with piecewise" means doing operations in the area of piecewise. But the preposition "with" is about tool/construct, not area. Also direct object.

I need decide final. Since instructions say do not hedge, choose single. I think I will choose 1 as best catch-all. But perhaps answer expected 9? Let's evaluate if the human-written question likely derived from actual annotated data. The target "working" in context "useful for working with piecewise" from a KDE documentation. If this is from the "EnSemCor" or "WordNet Gloss Corpus"? The target is inside HTML tags <t>working</t>. This resembles "SemEval-2013 Task 12: Multilingual WSD" or "OntoNotes"? The XML format <t> maybe from "Unified WSD framework" test data. I can guess the gold label. In SemEval-2007 task 17 (English all-words), target words have <head> tags. In OntoNotes, different sense inventory. Here <t> maybe from "WordNet sense disambiguation" data compiled from Wikipedia? Actually the context has <t>working</t> maybe from a web source "KAlgebra documentation". Candidate senses are WordNet. The instruction to return JSON indicates an evaluation format.

Maybe the data is from "WordNet-English-All-Words" with contexts from "Babelfy" extracted from KAlgebra Manual. The gold may be known? I can try to recall from wordnets annotated corpora. The phrase "Mainly useful for working with piecewise." If I had to annotate, I'd probably choose "work%2:41:02::" (exert oneself by doing mental or physical work) because it's the most generic and standard for -ing gerund. But maybe the annotator would choose "work%2:41:00::" as "do work"? Let's think of WSD algorithms: Sense 1 is most frequent by a large margin. Without contextual clues specific to other senses, default is sense 1. But the system prompt warns against defaulting to generic; wants context. However generic best may be correct.

Let's analyze actual semantic roles: "for working with piecewise" where "working" heads a purpose adjunct modifying "useful"; the container's usefulness is as an instrument to do work with piecewise. "work" = activity requiring mental/physical effort. Thus sense 1. It's not "be employed" (sense 2) because not job. It is mental effort (defining conditions), so sense 1. That feels right.

I will answer {"sense_index": 1}. But before final, check if there is any other candidate whose definition explicitly includes "mental or physical work" and examples with "hard". Yes sense 1. The task is a math/computer context: defining conditions is mental work. So 1.

However, I want to ensure not missing sense 9 as "proceed towards a goal... activity". The phrase "working with piecewise" could be a process/activity. If I choose sense 1, will it be obvious? The target surface "working" being used as a noun-like gerund after "for"; sense 1 is an action verb. Good.

Let's produce final JSON only as requested. No extra content. Ensure exactly {"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: now
Target surface form: Now
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. <t>Now</t> you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ().

Candidate senses:
1. sense_key=now%4:02:05:: | definition=in the historical present; at this point in the narration of a series of past events | examples=President Kennedy now calls in the National Guard; Washington now decides to cross the Delaware
2. sense_key=now%4:02:00:: | definition=in these times; - Nancy Mitford | synonyms=nowadays, today | examples=it is solely by their language that the upper classes nowadays are distinguished; we now rarely see horse-drawn vehicles on city streets
3. sense_key=now%4:02:02:: | definition=used to preface a command or reproof or request | examples=now hear this!; now pay attention
4. sense_key=now%4:02:04:: | definition=at the present moment | synonyms=at present | examples=goods now on sale; the now-aging dictator
5. sense_key=now%4:02:01:: | definition=without delay or hesitation; with no time intervening | synonyms=immediately, instantly, straightaway, straight off, directly, right away | examples=he answered immediately; found an answer straightaway
6. sense_key=now%4:02:07:: | definition=(prefatory or transitional) indicates a change of subject or activity | examples=Now the next problem is...
7. sense_key=now%4:02:06:: | definition=in the immediate past | examples=told me just now

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 sense for "Now" in context. It's a transition in a tutorial: "Now you could ask me, why should the user mind about MathML?" That prefatory/transitional indicates change of subject/activity. Candidate 6 has definition "(prefatory or transitional) indicates a change of subject or activity" examples "Now the next problem is..." This fits. Answer 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: ask
Target surface form: ask
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could <t>ask</t> me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ().

Candidate senses:
1. sense_key=ask%2:32:00:: | definition=inquire about | synonyms=inquire, enquire | examples=I asked about their special today; He had to ask directions several times
2. sense_key=ask%2:32:01:: | definition=make a request or demand for something to somebody | examples=She asked him for a loan
3. sense_key=ask%2:32:02:: | definition=direct or put; seek an answer to | examples=ask a question
4. sense_key=ask%2:32:05:: | definition=consider obligatory; request and expect | synonyms=require, expect | examples=We require our secretary to be on time; Aren't we asking too much of these children?
5. sense_key=ask%2:32:04:: | definition=address a question to and expect an answer from | examples=Ask your teacher about trigonometry; The children asked me about their dead grandmother
6. sense_key=ask%2:42:00:: | definition=require as useful, just, or proper | synonyms=necessitate, postulate, need, require, take, involve | examples=It takes nerve to do what she did; success usually requires hard work
7. sense_key=ask%2:32:09:: | definition=require or ask for as a price or condition | examples=He is asking $200 for the table; The kidnappers are asking a million dollars in return for the release of their hostage

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:
Let me analyze the context for the target word "ask".

The sentence is: "Now you could <t>ask</t> me, why should the user mind about MathML?"

This is a common construction where someone says "you could ask me" followed by a question. The meaning here is essentially posing/directing a question to me.

Let me look at the candidate senses:

1. ask%2:32:00:: - inquire about (synonyms: inquire, enquire)
   - examples: I asked about their special today; He had to ask directions several times

2. ask%2:32:01:: - make a request or demand for something to somebody
   - examples: She asked him for a loan

3. ask%2:32:02:: - direct or put; seek an answer to
   - examples: ask a question

4. ask%2:32:05:: - consider obligatory; request and expect
   - synonyms: require, expect

5. ask%2:32:04:: - address a question to and expect an answer from
   - examples: Ask your teacher about trigonometry; The children asked me about their dead grandmother

6. ask%2:42:00:: - require as useful, just, or proper
   - synonyms: necessitate, postulate, need, require, take, involve

7. ask%2:32:09:: - require or ask for as a price or condition

The context: "Now you could ask me, why should the user mind about MathML?"

This is like saying "You could ask me the question: 'why should the user mind about MathML?'" or "You might address to me the question, 'why should the user mind about MathML?'"

This fits best with sense 5: "address a question to and expect an answer from" with example "Ask your teacher about trigonometry; The children asked me about their dead grandmother."

However, sense 3 "direct or put; seek an answer to" with example "ask a question" could also fit.

Sense 1 "inquire about" with examples like "I asked about their special today; He had to ask directions several times" could fit too.

The phrase "ask me, why..." is addressing a question to me. The structure parallels "Ask your teacher about trigonometry" from sense 5 - both involve addressing a question to someone (a person).

In the context, the writer is saying that the reader could/should address the question to the writer. This matches sense 5 best: "address a question to and expect an answer from."

Let me double-check. "Now you could ask me" - this is inviting the reader to pose a question to the author. "Ask your teacher about trigonometry" - this is telling someone to pose a question to their teacher. Very similar.

Sense 3 "direct or put; seek an answer to" with "ask a question" is more general and doesn't emphasize addressing it to a specific person.

Sense 1 "inquire about" emphasizes the inquiry itself, not so much directing it to a person.

I'll go with sense 5.

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: user
Target surface form: user
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the <t>user</t> mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ().

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 answer as JSON {"sense_index": N}. Need disambiguate "user" in context. The context is about kalgebra piecewise and MathML, asking "why should the user mind about MathML?" i.e., person using the software/product. Sense 1: person who makes use of a thing; someone who uses or employs something. Sense 2 exploiter selfishly/unethically. Sense 3 drug user. Clearly sense 1. Return only JSON.

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: easy
Target surface form: easy
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s <t>easy</t>. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=easy%3:00:01:: | definition=posing no difficulty; requiring little effort | examples=an easy job; an easy problem
2. sense_key=easy%5:00:00:unhurried:00 | definition=not hurried or forced | synonyms=easygoing, leisurely | examples=an easy walk around the block; at a leisurely (or easygoing) pace
3. sense_key=easy%3:00:02:: | definition=free from worry or anxiety | examples=knowing that I had done my best, my mind was easy; an easy good-natured manner
4. sense_key=easy%5:00:00:pleasing:00 | definition=affording pleasure | examples=easy good looks
5. sense_key=easy%5:00:00:light:08 | definition=having little impact | synonyms=gentle, soft | examples=an easy pat on the shoulder; gentle rain
6. sense_key=easy%5:00:00:impressionable:00 | definition=readily exploited or tricked | examples=an easy victim; an easy mark
7. sense_key=easy%5:00:00:rich:00 | definition=in fortunate circumstances financially; moderately rich | synonyms=comfortable, prosperous, well-fixed, well-heeled, well-off, well-situated | examples=they were comfortable or even wealthy by some standards; easy living
8. sense_key=easy%5:00:00:gradual:02 | definition=marked by moderate steepness | synonyms=gentle | examples=an easy climb; a gentle slope
9. sense_key=easy%5:00:00:comfortable:00 | definition=affording comfort | examples=soft light that was easy on the eyes
10. sense_key=easy%5:00:00:unchaste:00 | definition=casual and unrestrained in sexual behavior | synonyms=light, loose, promiscuous, sluttish, wanton | examples=her easy virtue; he was told to avoid loose (or light) women
11. sense_key=easy%5:00:00:available:00 | definition=less in demand and therefore readily obtainable | examples=commodities are easy this quarter
12. sense_key=easy%5:00:00:abundant:00 | definition=obtained with little effort or sacrifice, often obtained illegally | examples=easy money

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 provide JSON only with sense_index. Need disambiguate 'easy' in context. Context: technical explanation about MathML, containers, piecewise, condition before ? etc. Then: "Now you could ask me, why should the user mind about MathML? That's easy. With this, we can operate with functions..." The meaning: the answer/reason is not difficult to understand; requires little effort. So sense 1: posing no difficulty; requiring little effort. Need output exact JSON. 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: function
Target surface form: functions
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with <t>functions</t> like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

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 do WSD target lemma function surface functions. Context about MathML container, used to define a container useful piecewise. We can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). What kind it is. So clearly mathematical function sense 1: (mathematics) a mathematical relation such that each element of domain associated with element of range; synonyms mathematical function, single-valued function, map, mapping. The context refers to cos(), sin(), trigonometric functions, sum or product as functions. Could sense 4 also: a relation such that one thing is dependent on another e.g. price function of supply. But explicitly listed cos(), sin(), sum(), product() are mathematical functions. Sense 1 is correct. Need return 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: cos
Target surface form: cos()
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like <t>cos()</t>, sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=cos%1:24:00:: | definition=ratio of the adjacent side to the hypotenuse of a right-angled triangle | synonyms=cosine
2. sense_key=cos%1:13:00:: | definition=lettuce with long dark-green leaves in a loosely packed elongated head | synonyms=cos lettuce, romaine, romaine lettuce
3. sense_key=carbon_monoxide%1:27:00:: | definition=an odorless very poisonous gas that is a product of incomplete combustion of carbon | synonyms=carbon monoxide, carbon monoxide gas, CO
4. sense_key=cobalt%1:27:00:: | definition=a hard ferromagnetic silver-white bivalent or trivalent metallic element; a trace element in plant and animal nutrition | synonyms=cobalt, Co, atomic number 27
5. sense_key=conscientious_objector%1:18:00:: | definition=one who refuses to serve in the armed forces on grounds of conscience | synonyms=conscientious objector, CO
6. sense_key=colorado%1:15:00:: | definition=a state in west central United States in the Rocky Mountains | synonyms=Colorado, Centennial State, CO

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 "cos" in a specific
context. Let me analyze carefully.

Target surface form: cos()
Context: The context is about MathML, mathematical functions, and specifically mentions
"functions like <t>cos()</t>, sin(), any other trigonometric functions". This is clearly
referring to the mathematical cosine function.

Candidate senses:
1. cos%1:24:00:: - ratio of the adjacent side to the hypotenuse of a right-angled triangle |
synonyms=cosine
2. cos%1:13:00:: - lettuce with long dark-green leaves in a loosely packed elongated head |
synonyms=cos lettuce, romaine, romaine lettuce
3. carbon_monoxide%1:27:00:: - an odorless very poisonous gas... | synonyms=carbon monoxide,
carbon monoxide gas, CO
4. cobalt%1:27:00:: - a hard ferromagnetic silver-white bivalent or trivalent metallic element |
cobalt, Co, atomic number 27
5. conscientious_objector%1:18:00:: - one who refuses to serve in the armed forces on grounds of
conscience | synonyms=conscientious objector, CO
6. colorado%1:15:00:: - a state in west central United States... | synonyms=Colorado, Centennial
State, CO

The context explicitly talks about MathML containers and mathematical functions. The target
surface form is "cos()" which is standard mathematical notation for the cosine function. The
sentence says "we can operate with functions like <t>cos()</t>, sin(), any other trigonometric
functions". This directly maps to sense 1, which has the synonym "cosine" and definition related
to right-angled triangles (the cosine function in trigonometry).

Senses 3-6 are all abbreviations "CO" (not "cos"):
- carbon monoxide = CO
- cobalt = Co (chemical symbol)
- conscientious objector = CO
- Colorado = CO (postal abbreviation)
These are not relevant because the target is "cos" not "CO".

Sense 2 is "cos lettuce" which is a homograph (same spelling, different meaning), but the context
is clearly mathematical.

Therefore, the best indexed sense is 1.

I need to return only a JSON object exactly like {"sense_index": 3}. So I should return
{"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: sin
Target surface form: sin()
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), <t>sin()</t>, any other trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=sin%1:07:00:: | definition=estrangement from god | synonyms=sinfulness, wickedness
2. sense_key=sin%1:04:00:: | definition=an act that is regarded by theologians as a transgression of God's will | synonyms=sinning
3. sense_key=sin%1:24:00:: | definition=ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle | synonyms=sine
4. sense_key=sin%1:18:00:: | definition=(Akkadian) god of the Moon; counterpart of Sumerian Nanna
5. sense_key=sin%1:10:00:: | definition=the 21st letter of the Hebrew alphabet
6. sense_key=sin%1:04:01:: | definition=violent and excited activity | synonyms=hell | examples=they began to fight like sin

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 target word "sin" in the given context.

The context is about MathML, mathematical functions like cos(), sin(), and other trigonometric functions. The surface form is "sin()" which clearly refers to the trigonometric function sine, which is abbreviated as "sin" in mathematical notation.

Let me look at the candidate senses:
1. sin%1:07:00:: - estrangement from god (religious sin as a state)
2. sin%1:04:00:: - an act that is regarded by theologians as a transgression of God's will (religious sinful act)
3. sin%1:24:00:: - ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle (mathematical sine)
4. sin%1:18:00:: - (Akkadian) god of the Moon; counterpart of Sumerian Nanna (the moon god Sin)
5. sin%1:10:00:: - the 21st letter of the Hebrew alphabet (Hebrew letter sin/shin)
6. sin%1:04:01:: - violent and excited activity (informal sense "like sin")

The context explicitly mentions trigonometric functions: "we can operate with functions like cos(), sin(), any other trigonometric functions".

Sense 3 has the definition of the mathematical sine function: "ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle" with synonym "sine".

This is clearly the best match. The surface form "sin()" is the standard mathematical notation for the sine function.

The user instructs: "Do not answer with a WordNet sense key. Return only a JSON object exactly like {"sense_index": 3}."

I need to return only the JSON object. The format should match the sense index number. Sense 3 is the correct one.

So my final output should be:
{"sense_index":3}


[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: other
Target surface form: other
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any <t>other</t> trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=other%3:00:00:: | definition=not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day; the construction of highways and other public works
2. sense_key=other%5:00:00:past:00 | definition=recently past | examples=the other evening
3. sense_key=other%5:00:02:past:00 | definition=belonging to the distant past | synonyms=early, former | examples=the early inhabitants of Europe; former generations
4. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected; - Lance Morrow | examples=a strange, other dimension...where his powers seemed to fail

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 "other" in the given context. Let me analyze the context:

The sentence is: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()."

Here, "other" is used to refer to additional trigonometric functions beyond cos() and sin() that were already mentioned. It's saying "any other trigonometric functions" meaning trigonometric functions not the same ones already mentioned (cos and sin).

Let me look at the candidate senses:

1. sense_key=other%3:00:00:: | definition=not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day; the construction of highways and other public works

This fits perfectly. "any other trigonometric functions" means trigonometric functions other than the ones already mentioned (cos, sin).

2. sense_key=other%5:00:00:past:00 | definition=recently past | examples=the other evening

This doesn't fit. There's no temporal reference.

3. sense_key=other%5:00:02:past:00 | definition=belonging to the distant past | synonyms=early, former | examples=the early inhabitants of Europe; former generations

This doesn't fit. No reference to distant past.

4. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected; - Lance Morrow | examples=a strange, other dimension...where his powers seemed to fail

This doesn't fit. The context isn't talking about strange or unusual things.

The best sense is clearly sense 1. The answer should be in JSON format: {"sense_index": 1}.

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: sum
Target surface form: sum
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, <t>sum</t> () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=sum%1:21:00:: | definition=a quantity of money | synonyms=sum of money, amount, amount of money | examples=he borrowed a large sum; the amount he had in cash was insufficient
2. sense_key=sum%1:09:01:: | definition=a quantity obtained by the addition of a group of numbers | synonyms=amount, total
3. sense_key=sum%1:14:00:: | definition=the final aggregate | synonyms=summation, sum total | examples=the sum of all our troubles did not equal the misery they suffered
4. sense_key=sum%1:09:00:: | definition=the choicest or most essential or most vital part of some idea or experience | synonyms=kernel, substance, core, center, centre, essence | examples=the gist of the prosecutor's argument; the heart and soul of the Republican Party
5. sense_key=sum%1:06:00:: | definition=the whole amount | synonyms=total, totality, aggregate
6. sense_key=sum%1:14:01:: | definition=a set containing all and only the members of two or more given sets | synonyms=union, join | examples=let C be the union of the sets A and B

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 "sum" in a specific context.

Let me analyze the context:
- It's about MathML containers
- It mentions functions like cos(), sin(), trigonometric functions
- Then mentions "<t>sum</t> () or product ()"
- It says "It does not matter what kind it is."

So "sum" here is being used as a mathematical function/operation, like summation in mathematics. In MathML, `<sum>` would be used for summation operations.

Let me look at the candidate senses:
1. A quantity of money - not relevant
2. A quantity obtained by the addition of a group of numbers - this is the mathematical sense
3. The final aggregate - more abstract
4. The choicest/most essential part - "the sum of knowledge" type usage
5. The whole amount - similar to total
6. A set containing all members of two or more sets - set theory union

The context is clearly mathematical. The word "sum" is being paired with "product" as mathematical operations/functions. This maps most directly to sense 2: "a quantity obtained by the addition of a group of numbers" with synonyms amount, total.

Even though this is about MathML markup for the operation, the fundamental meaning is still the mathematical result of addition. The pairing with "product" (multiplication operation) strongly suggests arithmetic operations.

Sense 5 "the whole amount" is close but more about totality/aggregate in general. Sense 2 is specifically about the result of addition, which fits better with the mathematical function context.

Sense 6 is about set union, but the context doesn't mention sets or union.

So the best answer is 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: product
Target surface form: product
Context:
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. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or <t>product</t> (). It does not matter what kind it is.

Candidate senses:
1. sense_key=product%1:06:01:: | definition=commodities offered for sale | synonyms=merchandise, ware | examples=good business depends on having good merchandise; that store offers a variety of products
2. sense_key=product%1:06:00:: | definition=an artifact that has been created by someone or some process | synonyms=production | examples=they improve their product every year; they export most of their agricultural production
3. sense_key=product%1:09:00:: | definition=a quantity obtained by multiplication | synonyms=mathematical product | examples=the product of 2 and 3 is 6
4. sense_key=product%1:27:00:: | definition=a chemical substance formed as a result of a chemical reaction | examples=a product of lime and nitric acid
5. sense_key=product%1:19:00:: | definition=a consequence of someone's efforts or of a particular set of circumstances | examples=skill is the product of hours of practice; his reaction was the product of hunger and fatigue
6. sense_key=product%1:14:00:: | definition=the set of elements common to two or more sets | synonyms=intersection, Cartesian product | examples=the set of red hats is the intersection of the set of hats and the set of red things

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 product, surface form product in this context. The context is about MathML, functions like cos(), sin(), sum() or product (). It mentions functions, math operations. Candidate senses include product%1:09:00:: = quantity obtained by multiplication (mathematical product). Also sense 6 = Cartesian product (intersection). In context: "operate with functions like cos(), sin(), any other trigonometric functions, sum () or <t>product</t> ()." So product is a mathematical operation/function in MathML. Sense 3: quantity obtained by multiplication ( synonym mathematical product). Sense 6: set of elements common to two or more sets (Cartesian product, intersection). Which is best? "sum () or product ()" likely operator can do product of terms, multiplication result. Not Cartesian product. MathML product element is an n-ary function for products, product of terms. So sense 3. Need JSONonly.


[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: use
Context:
It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is. We can <t>use</t> plus(), times() and everything which has its operator. kalgebra's console is useful as a calculator.

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:
 We need answer with single index. We are English linguist performing WSD. Need choose best indexed sense for use in context. Let's parse context: It describes using plus(), times() and everything which has its operator. "We can use plus(), times() and everything which has its operator." This is about employing functions/operators for a particular purpose. Candidate senses:
1. put into service; make work or employ for a particular purpose or inherent purpose. synonyms utilize, apply, employ. examples use your head; we only use Spanish at home. This fits: "We can use plus(), times() and everything which has its operator." Means employ/utilize those functions/operators.
2. take or consume habitually (habituate) - drugs. Not fits.
3. use up, consume fully - expend. Not fits.
4. seek or achieve end by using to one's advantage - using influential friends. Not this context; no advantage.
5. avail oneself to - apply/practice a principle/religion. Not exactly.
6. used to past tense. Not grammar.
Thus answer sense_index 1. Need JSON exact {"sense_index": 1}. Return only JSON.

provider: Venice


[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: plus
Target surface form: plus()
Context:
It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is. We can use <t>plus()</t>, times() and everything which has its operator. kalgebra's console is useful as a calculator.

Candidate senses:
1. sense_key=plus%1:07:00:: | definition=a useful or valuable quality | synonyms=asset
2. sense_key=plus%1:04:00:: | definition=the arithmetic operation of summing; calculating the sum of two or more numbers | synonyms=summation, addition | examples=the summation of four and three gives seven; four plus three equals seven

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. Context about MathML, plus() as operator. plus could be noun. Candidates: plus%1:07:00:: valuable quality (asset) and plus%1:04:00:: arithmetic operation of summing. Context: use plus(), times() and everything which has its operator. Arithmetic operation sense best. Return {"sense_index": 2}.