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

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

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

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

raw_output:
```json
{"sense_index": 3}
```

The context describes a programming syntax where a condition needs to be placed/inserted before a `?` operator. The word "introduce" here means to insert or put the condition in a specific location within the code structure. This aligns best with sense 3 ("insert, enclose, stick in, put in"), which emphasizes the act of placing something into a defined position, similar to the example "Insert your ticket here."

reasoning_content:
Let me analyze the context carefully. The target word is "introduce" in this sentence:

"If we introduce the condition before the? it will use this condition only if it is true..."

This is in the context of a mathematical programming language (kalgebra) where they're discussing how to define conditional operations. The sentence is saying that if you provide/put/add a condition before the `?`, then it will use that condition.

Let me examine each sense:

1. "cause to come to know personally" - doesn't fit, this isn't about making someone know another person
2. "bring something new to an environment" - possible, but more about bringing something new
3. "insert, enclose, stick in, put in" - this could fit - putting the condition before the `?`
4. "bring in a new person or object into a familiar environment" - not really appropriate
5. "bring in or establish in a new place or environment" - could fit, establishing the condition
6. "put or introduce into something" - this fits well - putting/inserting the condition
7. "bring before the public for the first time" - doesn't fit
8. "put before (a body)" - could fit, putting the condition before something
9. "furnish with a preface or introduction" - doesn't fit
10. "be a precursor of" - doesn't fit

The most natural interpretation in this technical context is about putting/inserting the condition. The sentence structure "If we introduce the condition before the?" suggests placing or putting the condition before the question mark symbol.

Looking at the candidates:
- Sense 3 (insert, enclose, stick in, put in) fits well
- Sense 6 (put or introduce into something) also fits
- Sense 5 (bring in or establish in a new place or environment) could work
- Sense 8 (put before a body) could work

In this technical/programming context, the most precise fit would be sense 3 (insert/put in) or sense 6 (put or introduce).

Comparing the two strongest candidates, sense 3 aligns most directly with the programming syntax—it's specifically about inserting or placing the condition in a particular location, much like the example "insert your ticket here." This matches the technical action of positioning a condition before the `?` operator.


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: 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}.

raw_output:
```json
{"sense_index": 1}
```

The context shows "use" being applied in a technical/programming sense where a condition will be "employed for a particular purpose" - specifically, the condition will be applied/put into service if a certain criterion is met. This matches sense 1 (utilize/employ for a particular purpose), exemplified by similar usage patterns like "use your head!" where something is put into service for its intended function.

finish_reason: stop

role: assistant

reasoning_content:
Let me analyze the context to determine the correct sense of "use" in this sentence.

The sentence is: "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."

The context is about a programming/mathematical language (kalgebra) where "use" means to apply or employ a condition in a particular way. The condition will be "used" (applied/employed) only if a certain criterion is met.

Let me examine each sense:

1. **sense 1** (use%2:34:01:): "put into service; make work or employ for a particular purpose" - This fits well. The condition is being put into service/employed for a particular purpose. Examples: "use your head!" - similar usage of applying something for a purpose.

2. **sense 2** (use%2:34:02:): "take or consume (regularly or habitually)" - This doesn't fit. We're not talking about consuming something regularly or habitually.

3. **sense 3** (use%2:34:00:): "use up, consume fully" - This doesn't fit. We're not consuming or using up the condition.

4. **sense 4** (use%2:41:14:): "seek or achieve an end by using to one's advantage" - This could partially fit, but it's more about exploiting something, which isn't the primary meaning here.

5. **sense 5** (use%2:41:04:): "avail oneself to" / "apply a principle" - This is close. It means to apply or put into practice.

6. **sense 6** (use%2:41:03:): "habitually do something (use only in the past tense)" - This doesn't fit because we're not using the past tense here ("used to"), and it's not about habitual action.
Sense 1 is the strongest match—it captures how the condition gets employed for a specific purpose within the technical system. The condition activates only when its criterion evaluates to true, making this straightforward application of a tool or principle the most accurate interpretation.

type: thinking

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: 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}.

raw_output:
```json
{"sense_index": 1}
```

The context discusses conditional logic in a programming language parser. The word "true" is used as a boolean value that determines whether a condition will be executed. In this computational context, "true" means "consistent with fact or reality; not false" - it's the logical value indicating a condition is satisfied, as opposed to false. This is the fundamental sense of "true" in logic and programming.

reasoning_content:
Let me analyze the context carefully. The text is about a mathematical/programming language parser (kalgebra). It discusses how the parser handles conditions, specifically mentioning:

"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."

The word "true" is used here in a computing/programming context where it refers to a boolean value that indicates whether a condition is satisfied or not. In programming and logic, "true" is the boolean value that represents a fact or condition being correct/valid.

Looking at the candidates:

1. "consistent with fact or reality; not false" - This is the most basic, general definition of true as a boolean value in logic/computing
2. "accurately placed or thrown" - Not relevant here
3. "devoted to a cause" - Not relevant
4. "expressing or given to expressing the truth" - Could apply, but this is more about expressing truth
5. "conforming to definitive criteria" - Could fit, but less direct
6. "worthy of being depended on" - Not relevant
7. "not pretended; sincerely felt" - Not relevant
8. "rightly so called" - Not directly relevant
9. "determined with reference to earth's axis" - Not relevant
10. "having a legally established claim" - Not relevant
11. "in tune; accurate in pitch" - Not relevant
12. "accurately fitted; level" - Not relevant

The context is clearly about a boolean value in programming. The first sense "consistent with fact or reality; not false" is the most appropriate definition. This is the fundamental meaning of "true" as a boolean value - it represents something that is in accordance with reality/fact, as opposed to false.

The answer should be sense 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: 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}.

raw_output:
```json
{"sense_index": 2}
```

The context describes a parser processing conditions sequentially. When it "finds a? without any condition," it means the parser discovers or detects the existence/presence of a specific element (a "?" without a condition). This matches sense 2: "discover or determine the existence, presence, or fact of," which is synonymous with detect and observe. The parser is discovering the presence of a particular type of conditional operator during its processing.

reasoning_content:
Let me analyze the context carefully. The sentence is:

"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."

So the parser is looking through conditions, and when it "finds" a "?" without any condition, it enters in the last instance.

This is clearly about discovering or encountering something while searching or processing. The parser is looking through the conditions and when it encounters/discovers a "?" that meets certain criteria (no condition), it performs an action.

Let me look at the senses:

1. "come upon, as if by accident" - This could fit, but it suggests accident rather than deliberate searching
2. "discover or determine the existence, presence, or fact of" - This is about finding out that something exists
3. "come upon after searching; find the location of something that was missed or lost" - This fits well - it's searching for something and finding it when you encounter it
4. "establish after a calculation, investigation, experiment, survey, or study" - This is more about determining through analysis
5. "come to believe on the basis of emotion, intuitions, or indefinite grounds" - Not relevant
6. "perceive or be contemporaneous with" - Could fit but less precise
7. "get something or somebody for a specific purpose" - Not really applicable
8. "make a discovery, make a new finding" - Could fit
9. "make a discovery" - Similar to 8
10. "obtain through effort or management" - Not really applicable
11. "decide on and make a declaration about" - Not applicable
12. "receive a specified treatment" - Not applicable
13. "perceive oneself to be in a certain condition or place" - Not applicable
14. "get or find back; recover the use of" - Not applicable
15. "succeed in reaching; arrive at" - This could fit - the parser arrives at/reaches a "?"
16. "accept and make use of one's personality, abilities, and situation" - Not applicable

The most fitting options are sense 2 (discovering the presence of something), sense 3 (locating something through searching), and sense 15 (reaching or arriving at a location). Given the parser's systematic search through conditions to locate an unqualified "?", sense 2 or 3 best captures the meaning—the parser discovers or encounters the specific element it's looking for.


[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}.

raw_output:
```json
{"sense_index": 1}
```

content:
```json
{"sense_index": 1}
```

reasoning_content:
Let me analyze the context where "instance" appears:

"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>."

This is talking about a programming/mathematical context. The sentence is explaining that when a certain condition isn't met, the system will enter the "last instance" - meaning the last occurrence or case that serves as a default/fallback option.

Let me examine the two candidate senses:

Sense 1: "an occurrence of something" with synonyms: case, example | examples: "it was a case of bad judgment; another instance occurred yesterday"
- This refers to individual occurrences of something
- The synonym "case" fits well with the context - the "last case/instance" being the default case

Sense 2: "an item of information that is typical of a class or group" with synonyms: example, illustration, representative | examples: "this patient provides a typical example of the syndrome"
- This is more about something being representative or typical of a larger group/class

In the programming context, "the last instance" refers to the last occurrence or case in the conditional logic - it's the final option/occurrence that will be selected. This is clearly sense 1, which means "an occurrence of something."

The answer should be sense 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: 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}.

raw_output:
```json
{"sense_index": 1}
```

The sentence "It can be used to define a container" describes employing an MathML container for a particular purpose or function. This matches sense 1 (put into service; make work or employ for a particular purpose), where "used" is synonymous with "utilized" or "employed" in this technical context. The passive construction "can be used to define" describes the functional purpose of the container, which is the core meaning of this sense.

reasoning_content:
Let me analyze the context and target word "used" in the sentence: "It can be used to define a container."

The context shows this is about MathML containers and their function. The sentence is explaining that an MathML container can be used to define a container. This is describing the purpose or function that the container serves.

Let me examine each candidate sense:

1. sense_key=use%2:34:01:: - "put into service; make work or employ for a particular purpose or for its inherent or natural purpose" - synonyms: utilize, utilise, apply, employ. Examples: "use your head!", "we only use Spanish at home". This matches the passive voice "can be used to define" - it's describing putting something into service for a particular purpose.

2. sense_key=use%2:34:02:: - "take or consume (regularly or habitually)" - This doesn't fit. The sentence isn't about consuming anything.

3. sense_key=use%2:34:00:: - "use up, consume fully" - This doesn't fit either.

4. sense_key=use%2:41:14:: - "seek or achieve an end by using to one's advantage" - This is about manipulating things for personal advantage, which doesn't fit the technical context.

5. sense_key=use%2:41:04:: - "avail oneself to" - synonyms: practice, apply. This is similar to sense 1 but emphasizes the application of something.

6. sense_key=use%2:41:03:: - "habitually do something (use only in the past tense)" - This specifically says "use only in the past tense" and it's about habitual actions. The example is "She used to call..." which is different from our context.

The sentence "It can be used to define a container" is describing the purpose or function of the MathML container.

Sense 1 is the best fit here—it captures the idea of employing something for a specific purpose. Words like "utilized" or "employed" could substitute for "used," which confirms this interpretation.


[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}.

raw_output:
```json
{"sense_index": 5}
```

The context describes establishing or setting computational elements (variable values, conditional operations, containers) in a mathematical programming context. Sense 5 ("decide upon or fix definitely") with its examples "fix the variables; specify the parameters" is the best match for this usage, as it captures the meaning of establishing or setting something definitively in a technical specification context.

reasoning_content:
Let me analyze the context and find the best sense for "define" in this passage about kalgebra (a mathematical software).

The context shows:
1. "It is used to define a variable value"
2. "the way we can define conditional operations in kalgebra"
3. "It can be used to define a container"

All of these are about establishing or setting something specific in a computational/mathematical context.

Let me examine each sense:

1. "determine the essential quality of" - synonyms: specify, delineate, delimit, delimitate
   - This is about identifying what something essentially is

2. "give a definition for the meaning of a word" - example: Define 'sadness'
   - This is specifically about defining words/concepts

3. "determine the nature of" - example: What defines a good wine?
   - This is about what characterizes something

4. "show the form or outline of" - example: The tree was clearly defined by the light
   - This is about visual/spatial definition

5. "decide upon or fix definitely" - synonyms: specify, set, determine, fix, limit
   - Examples: fix the variables; specify the parameters
   - This is about establishing or setting something

Given the context about setting variable values, defining conditional operations, and defining containers in a programming/mathematical context, sense 5 seems most appropriate. The examples explicitly mention "fix the variables" and "specify the parameters" which directly relates to the mathematical programming context of the passage.

The answer should be 5.


[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}.

raw_output:
```json
{"sense_index": 1}
```

The context describes the MathML container as "useful for working with piecewise," meaning it is beneficial or provides service for that purpose. This aligns with the first sense definition "being of use or service," which captures the general utility of the feature. The second sense emphasizing "having a useful function" / "utilitarian" suggests a more specialized, functional design purpose, whereas the context is simply indicating that this tool is helpful for the stated task.

reasoning_content:
Let me analyze the context to determine which sense of "useful" is being used.

The sentence is: "Mainly <t>useful</t> for working with piecewise."

In this context, "useful" is being used to describe how the MathML container is beneficial for the purpose of working with piecewise notation.

Let me look at the two 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

The first sense defines "useful" as "being of use or service" - which is about something that provides benefit or service. The examples given ("the girl felt motherly and useful; a useful job") show the general quality of being helpful or beneficial.

The second sense defines "useful" as "having a useful function" with synonyms=utilitarian. This is more about the functional aspect of something being purposefully designed for a specific use.

In the context "Mainly useful for working with piecewise," the word is describing a feature of the MathML container - it's saying this container is beneficial/helpful for the purpose of working with piecewise definitions.

This seems to fit better with the first sense - being of use or service. The MathML container is useful (provides service/benefit) for working with piecewise. It's not so much about having a utilitarian/functional design as it is about being beneficial for a purpose.

The first sense is the more general meaning of "useful" - something that is beneficial or helpful.

So I should choose sense 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: 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}.

raw_output:
```json
{"sense_index": 9}
```

The context "working with piecewise" refers to engaging with or proceeding through the use of piecewise operations in a technical/mathematical context. This matches sense 9, which defines "work" as "proceed towards a goal or along a path or through an activity" with the example "work your way through every problem or task." The phrase indicates practical engagement and usage of piecewise conditional operations within MathML containers.

reasoning_content:
Let me analyze the context to find the best sense of "working" in this sentence:

"Mainly useful for <t>working</t> with piecewise."

The context is about MathML containers and their use with piecewise functions in a mathematical/programming environment (kalgebra).

The phrase is "working with piecewise" - this means using or handling piecewise conditional operations.

Let me examine the relevant senses:

1. sense 1: exert oneself by doing mental or physical work - doesn't fit, this isn't about laboring
2. sense 2: be employed - doesn't fit, not about employment
3. sense 3: have an effect or outcome - "How does your idea work in practice?" - this could fit if thinking of "working with" meaning "using and seeing if it works"
4. sense 4: perform as expected when applied, function/operate - "The washing machine won't go unless it's plugged in" - could fit for technical context
5. sense 5: shape, form, or improve a material - doesn't fit
6. sense 6: give a workout - doesn't fit
7. sense 7: proceed along a path - doesn't fit
8. sense 8: operate in a certain place/specialty - doesn't fit
9. sense 9: proceed towards a goal through an activity - "work your way through every problem" - this could fit! "working with piecewise" = proceeding through/engaging with piecewise concepts
...

Actually, "working with" is a phrasal usage. In the context "working with piecewise," it means using or dealing with something in a practical way.

Looking at sense 9: "proceed towards a goal or along a path or through an activity" with examples like "work your way through every problem or task; She was working on her second martini when the guests arrived" - this seems to fit well. "Working with piecewise" means engaging with and proceeding through the use of piecewise operations.
Sense 4 could also apply in this technical setting, where "working" means functioning properly. However, the most fitting interpretation is sense 9—engaging with and moving through an activity involving piecewise operations, much like "working on" or "working through" something.


[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}.

raw_output:
```json
{"sense_index": 6}
```

The word "Now" here is used as a prefatory and transitional device to introduce a new point (the question from the reader: "why should the user mind about MathML?"). This matches sense 6's definition of "(prefatory or transitional) indicates a change of subject or activity," which is directly illustrated by the example "Now the next problem is..."

reasoning_content:
Let me analyze the context for the word "Now" in this sentence:

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

This is clearly a transitional or prefatory use of "Now". The speaker is transitioning from explaining piecewise operations and MathML containers to introducing a new point or potential question that the reader might have.

Let me look at the candidate senses:

1. sense_key=now%4:02:05:: - in the historical present (narrative context) - Not applicable here
2. sense_key=now%4:02:00:: - in these times; nowadays - Not the right sense
3. sense_key=now%4:02:02:: - used to preface a command or reproof or request - This could fit, but it's more about commanding/scolding
4. sense_key=now%4:02:04:: - at the present moment - Not applicable
5. sense_key=now%4:02:01:: - without delay or hesitation - Not applicable
6. sense_key=now%4:02:07:: - (prefatory or transitional) indicates a change of subject or activity - This is perfect! The example "Now the next problem is..." matches this usage exactly
7. sense_key=now%4:02:06:: - in the immediate past - Not applicable

The target word "Now" in this context is clearly being used as a transitional marker, introducing a new point or question. This matches sense 6 perfectly: "(prefatory or transitional) indicates a change of subject or activity" with the example "Now the next problem is..."

The answer is sense index 6.


[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}.

raw_output:
```json
{"sense_index": 5}
```

The context shows the speaker inviting the reader to pose a question directly to them: "you could ask me, why should the user mind about MathML?" This is the act of addressing a question to a specific person (the speaker) and expecting an answer, which matches sense 5: "address a question to and expect an answer from."

reasoning_content:
Let me analyze the context of "ask" in this sentence:

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

The speaker is saying the reader could ask them a question. Specifically, they're inviting the reader to pose a question to them about why the user should care about MathML.

Let me review the candidate senses:

1. inquire about - This is about asking for information about something (like asking about a special at a restaurant)
2. make a request or demand for something to somebody - This is asking for something, like requesting a loan
3. direct or put; seek an answer to - This is about posing/asking a question
4. consider obligatory; request and expect - This is about expecting or requiring something
5. address a question to and expect an answer from - This is about directing a question to someone and expecting an answer
6. require as useful, just, or proper - This is about something requiring/needing
7. require or ask for as a price or condition - This is about asking/requesting a price

In the context "Now you could ask me, why should the user mind about MathML?" - the speaker is saying the reader could pose/direct a question to them.

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

Or sense 3: "direct or put; seek an answer to" with example "ask a question"

Actually, looking more carefully, sense 3 is about directing/putting a question, while sense 5 is about addressing a question to someone. In this context, "ask me" suggests addressing the question to the speaker (me), so sense 5 seems most appropriate.

Wait, let me reconsider. The phrase is "you could ask me, why should the user mind about MathML?" - this is posing a question to the speaker. This would be sense 5 - addressing a question to someone.
Sense 5 fits better than sense 3 because the phrasing "ask me" explicitly targets the question toward the speaker, matching the definition that includes addressing a question to someone and expecting a response. The examples like "Ask your teacher about trigonometry" parallel this structure directly.


[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}.

content:
```json
{"sense_index": 1}
```

reasoning_content:
Let me analyze the context to determine which sense of "user" is being used.

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

Context clues:
- This is technical documentation about kalgebra and MathML
- It's discussing conditional operations and mathematical functions
- The question "why should the user mind about MathML?" is asking about people who use this mathematical software/tool
- The context suggests the person being discussed is someone who uses this mathematical programming tool

Let me consider each sense:

1. Sense 1: "a person who makes use of a thing; someone who uses or employs something" - This is a generic definition. In the context, "user" refers to someone who uses the kalgebra tool/software. This is clearly about someone using/employing something.

2. Sense 2: "a person who uses something or someone selfishly or unethically" - This doesn't fit the context at all. There's no suggestion of selfish or unethical use.

3. Sense 3: "a person who takes drugs" - This is completely unrelated to the technical context about mathematical software.

The most appropriate sense is Sense 1, which is the general meaning of "user" - a person who uses/employs something. In this case, someone who uses the kalgebra software/tool.

The sense index for sense 1 is 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: 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}.

raw_output:
```json
{"sense_index": 1}
```

The phrase "That's easy" in the context means the question or explanation poses no difficulty and requires little effort to understand. This directly corresponds to sense 1: "posing no difficulty; requiring little effort," which matches the examples "an easy job; an easy problem."

reasoning_content:
Let me analyze the context where "easy" appears:

"Now you could ask me, why should the user mind about MathML? That s <t>easy</t>."

This is a conversational sentence where someone is explaining why a user should care about MathML. When they say "That's easy," they mean it's easy to answer or understand - the answer/explanation is straightforward and requires little effort to understand.

Let me check each sense:

1. "posing no difficulty; requiring little effort" - This fits! "That's easy" means the question/answer is not difficult to understand.
2. "not hurried or forced" - This doesn't fit the context.
3. "free from worry or anxiety" - Doesn't fit.
4. "affording pleasure" - Doesn't fit.
5. "having little impact" - Doesn't fit.
6. "readily exploited or tricked" - Doesn't fit.
7. "in fortunate circumstances financially" - Doesn't fit.
8. "marked by moderate steepness" - Doesn't fit.
9. "affording comfort" - Doesn't fit.
10. "casual and unrestrained in sexual behavior" - Doesn't fit.
11. "less in demand and therefore readily obtainable" - Doesn't fit.
12. "obtained with little effort or sacrifice" - Could fit, but sense 1 is more direct.

The best fit is sense 1: "posing no difficulty; requiring little effort" with the example "an easy job; an easy problem". The sentence is saying that the question "why should the user mind about MathML?" is easy to answer - it's straightforward and doesn't require much effort to understand.


[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}.

raw_output:
```json
{"sense_index": 1}
```

The context clearly refers to mathematical functions like cos(), sin(), trigonometric functions, sum(), and product(). This is explicitly stated as operating with mathematical functions in the domain of MathML (Mathematical Markup Language). This matches sense 1, which defines function as a mathematical relation associating elements from one set to another.

reasoning_content:
Let me analyze the context to determine the correct sense of "functions" in this sentence.

The context states:
"With this, we can operate with <t>functions</t> like cos(), sin(), any other trigonometric functions, sum () or product ()."

Key clues:
1. The text explicitly mentions mathematical functions: cos(), sin(), trigonometric functions, sum(), product()
2. These are mathematical operations
3. The context is about MathML (Mathematical Markup Language)
4. The sentence discusses how one can work with these mathematical functions

Looking at the candidate senses:

1. "function" as a mathematical relation - This fits perfectly. cos(), sin(), sum(), product() are all mathematical functions.

2. "function" as what something is used for (purpose) - This doesn't fit well here. The text isn't discussing the purpose of these functions.

3. "function" as actions/activities assigned to a person or group - This doesn't fit. Not about roles or responsibilities.

4. "function" as a relation where one thing depends on another - This could fit mathematically, but it's less specific than sense 1.

5. "function" as a formal social gathering - Completely wrong context.

6. "function" as a social event - Completely wrong context.

7. "function" as computer program steps/routine - This could potentially fit since they mention cos(), sin() as computer functions, but the context emphasizes mathematical functions more.

The best fit is sense 1: "function%1:24:00::" which defines it as "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)". The examples given (cos(), sin(), trigonometric functions, sum(), product()) all match this mathematical definition.
The answer should be 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}.

raw_output:
```json
{"sense_index": 1}
```

The context explicitly identifies "cos()" as a trigonometric function, grouping it with "sin()" and "any other trigonometric functions" in the discussion of mathematical operations in MathML. Sense 1 is the mathematical function cosine, which is the correct interpretation here.

reasoning_content:
Let me analyze the context to determine the correct sense for "cos()".

The context is talking about MathML (Mathematical Markup Language) containers and mentions that "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()."

The key information is:
1. cos() is mentioned as a function
2. It's grouped with sin() and "any other trigonometric functions"
3. It's discussed in the context of mathematical operations in MathML

Looking at the candidate senses:
1. "ratio of the adjacent side to the hypotenuse of a right-angled triangle" | synonyms=cosine - This is the trigonometric function cosine
2. "lettuce with long dark-green leaves..." - This is a type of vegetable
3. "an odorless very poisonous gas..." - This is carbon monoxide
4. "a hard ferromagnetic silver-white bivalent..." - This is cobalt
5. "one who refuses to serve in the armed forces..." - This is conscientious objector
6. "a state in west central United States..." - This is Colorado

Given that the context clearly states "cos()" is a trigonometric function alongside sin() and other trigonometric functions, the correct sense is #1, which defines cosine as "ratio of the adjacent side to the hypotenuse of a right-angled triangle."

The answer should be: {"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}.

raw_output:
```json
{"sense_index": 3}
```

The context clearly indicates that "sin()" is being discussed as a mathematical trigonometric function within MathML container syntax. Sense 3 provides the definition of sine as a trigonometric ratio, which directly matches this usage. The surrounding context mentioning "trigonometric functions" and the function notation "sin()" with parentheses confirms this is the mathematical function, not a religious, mythological, or linguistic meaning.

reasoning_content:
Looking at the context, "sin()" is being discussed as a mathematical/trigonometric function. The text specifically mentions "we can operate with functions like cos(), sin(), any other trigonometric functions, sum() or product()".

This is clearly referring to the mathematical sine function, not any religious, mythological, or linguistic meaning of "sin".

Looking at the candidate senses:
1. estrangement from god - religious meaning
2. an act that is regarded by theologians as a transgression of God's will - religious meaning
3. ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle - This is the MATHEMATICAL sine function definition
4. (Akkadian) god of the Moon - mythological
5. the 21st letter of the Hebrew alphabet - linguistic
6. violent and excited activity - colloquial

The correct answer is sense 3, which defines sin as the mathematical trigonometric function (sine). The context makes this clear with the mention of "trigonometric functions" and the notation "sin()" which is how the sine function is written in mathematical expressions.


[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}.

raw_output:
```json
{"sense_index": 1}
```

The word "other" in this context refers to trigonometric functions different from the ones already mentioned (cos() and sin()). This matches sense 1: "not the same one or ones already mentioned or implied," which is the standard usage of "other" to denote additional items of the same category beyond those already specified.

reasoning_content:
Let me analyze the context where "other" appears:

"With this, we can operate with functions like cos(), sin(), any <t>other</t> trigonometric functions, sum () or product ()."

In this sentence, "other" is being used to refer to trigonometric functions that are different from cos() and sin(). The speaker is saying "any other trigonometric functions" meaning additional trigonometric functions besides the ones mentioned.

Let me look at the candidate senses:

1. "not the same one or ones already mentioned or implied" - This is the basic sense of "other" meaning different from what was already mentioned. Examples: "today isn't any other day; the construction of highways and other public works". This fits perfectly with the context where "other trigonometric functions" means functions different from cos() and sin() that were already mentioned.

2. "recently past" - This doesn't fit. The context isn't about time.

3. "belonging to the distant past" - This doesn't fit either. Not about temporal past.

4. "very unusual; different in character or quality from the normal or expected" - This sense means strange or unusual. While "different" appears in the definition, the emphasis is on being unusual or strange. In the context, "other trigonometric functions" doesn't mean unusual trigonometric functions, just additional ones.

The best fit is sense 1, which is the standard use of "other" to mean "not the same one or ones already mentioned or implied."


[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}.

raw_output:
```json
{"sense_index": 2}
```

The context describes `sum()` as a mathematical function alongside other functions like `cos()` and `sin()`. In this context, "sum" refers to the mathematical operation that computes "a quantity obtained by the addition of a group of numbers," which is sense 2. This is the standard usage in mathematics where sum() is a function that adds values together.

reasoning_content:
Let me analyze the context where "sum" appears. The context mentions:

"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."

Here, "sum" is being discussed as a mathematical function, similar to cos(), sin(), and product(). The context is about mathematical operations and functions in MathML.

Let me examine each candidate sense:

1. sense_key=sum%1:21:00:: - "a quantity of money" - This is about money, doesn't fit the context of mathematical functions.

2. sense_key=sum%1:09:01:: - "a quantity obtained by the addition of a group of numbers" - This is about the result of adding numbers. This could fit since sum() is a function that adds numbers.

3. sense_key=sum%1:14:00:: - "the final aggregate" - This is about the final total or result. Also fits.

4. sense_key=sum%1:09:00:: - "the choicest or most essential or most vital part" - This is about essence or core, doesn't fit.

5. sense_key=sum%1:06:00:: - "the whole amount" - This is about the total amount. Could fit.

6. sense_key=sum%1:14:01:: - "a set containing all and only the members of two or more given sets" - This is about set union, might fit in a mathematical context but seems more specialized.

The key context is that sum() is being described as a mathematical function. The most direct and appropriate sense would be sense 2 (sum%1:09:01::), which defines sum as "a quantity obtained by the addition of a group of numbers." This is the mathematical operation definition, describing what sum() does - it computes the sum of a group of numbers.

Sense 3 (sum%1:14:00::) "the final aggregate" is also reasonable, but sense 2 is more specific and directly addresses the mathematical operation.
Sense 2 best captures the intended meaning here.


[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}.

raw_output:
```json
{"sense_index": 3}
```

The context explicitly discusses mathematical functions and operations, with `product()` listed alongside `sum()`, `cos()`, and `sin()`. The reference to mathematical functions operating on numerical values indicates the target word refers to "a quantity obtained by multiplication" - the mathematical product sense.

reasoning_content:
Let me analyze the context to determine the best sense for "product" in this sentence.

The context is about MathML and mathematical operations. The sentence states:
"With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product()."

The key here is that "product()" is listed as a mathematical function, alongside:
- cos() - cosine function
- sin() - sine function
- Other trigonometric functions
- sum() - a mathematical operation

The context is clearly about mathematical operations and functions. "product()" in mathematics refers to the multiplication operation or the result of multiplication.

Let me review the candidate senses:

1. Commodities offered for sale - Not relevant, this is about merchandise
2. An artifact created by someone/process - Not relevant, this is about manufacturing
3. A quantity obtained by multiplication - **This is the correct sense** - the mathematical product is the result of multiplying numbers
4. A chemical substance formed as a result of chemical reaction - Not relevant
5. A consequence of someone's efforts - Not relevant
6. The set of elements common to two or more sets - Not relevant (this is intersection, not product in the multiplication sense)

Sense 3 is clearly the best fit because:
- The context explicitly mentions "product()" as a mathematical function
- It's mentioned alongside other mathematical functions like sum(), cos(), sin()
- The definition "a quantity obtained by multiplication" matches the mathematical context
- The example "the product of 2 and 3 is 6" directly relates to the mathematical operation being discussed

The answer 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: 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}.

raw_output:
```json
{"sense_index": 1}
```

The context "We can use plus(), times() and everything which has its operator" describes employing or applying these mathematical functions for their intended purpose. This matches sense 1, which defines "use" as "put into service; make work or employ for a particular purpose or for its inherent or natural purpose." The synonyms "utilize," "apply," and "employ" directly align with how the functions are being used in this programming/mathematical context.

reasoning_content:
Let me analyze the context and the target lemma "use".

The context is: "We can use plus(), times() and everything which has its operator."

This is about using programming functions or mathematical operators. The speaker is saying they can employ/apply the functions plus() and times() along with other operators to perform operations.

Let me look at each sense:

1. sense_key=use%2:34:01:: - "put into service; make work or employ for a particular purpose or for its inherent or natural purpose" with synonyms: utilize, utilise, apply, employ. Examples: "use your head!; we only use Spanish at home"

2. sense_key=use%2:34:02:: - "take or consume (regularly or habitually)" with synonyms: habituate. Examples: "She uses drugs rarely"

3. sense_key=use%2:34:00:: - "use up, consume fully" with synonyms: expend. Examples: "The legislature expended its time on school questions"

4. sense_key=use%2:41:14:: - "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:: - "avail oneself to" with synonyms: practice, apply. Examples: "apply a principle; practice a religion"

6. sense_key=use%2:41:03:: - "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"

In the context "We can use plus(), times() and everything which has its operator", the speaker is saying they can employ/apply these functions for their purpose. This is clearly about putting something into service for a particular purpose, which matches sense 1.
The other senses don't fit: consuming habitually or fully, exploiting for advantage, practicing a habit, or the past tense construction all miss the mark. Sense 1 directly captures the meaning of employing these functions for their intended computational purpose.


[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}.

raw_output:
```json
{"sense_index": 2}
```

The context clearly discusses `plus()` as a mathematical function/operator alongside other mathematical operations like `cos()`, `sin()`, `sum()`, `product()`, and `times()`. The passage is describing how to use mathematical operators in a calculator console (kalgebra). Sense 2, which defines plus as "the arithmetic operation of summing; calculating the sum of two or more numbers," is the only appropriate interpretation in this technical mathematical context. Sense 1 (a useful or valuable quality) is irrelevant.

reasoning_content:
Let me analyze the context to determine the correct sense of "plus()" in this technical passage.

The context is discussing MathML and mathematical functions in kalgebra's console. The passage mentions:
- "define a container"
- "working with piecewise"
- "operate with functions like cos(), sin(), any other trigonometric functions, sum() or product()"
- "We can use <t>plus()</t>, times() and everything which has its operator"

The key phrase is "plus()" being compared to other mathematical functions like cos(), sin(), sum(), product(), and times().

Now let's examine the candidate senses:

1. Sense 1: "a useful or valuable quality" (synonyms: asset)
   - This is a noun meaning a desirable characteristic or advantage
   - This doesn't fit the context at all

2. Sense 2: "the arithmetic operation of summing; calculating the sum of two or more numbers" (synonyms: summation, addition)
   - This is clearly the arithmetic/mathematical operation
   - The examples given are "the summation of four and three gives seven; four plus three equals seven"
   - This perfectly matches the context where plus() is being used as a mathematical function/operator

Given that the context is explicitly about mathematical functions and operators, and plus() is being discussed alongside other mathematical operations like cos(), sin(), sum(), product(), and times(), the correct sense is definitely sense 2 - the arithmetic operation of summing.

The answer should be {"sense_index": 2}