[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}.

reasoning_content:
The context is about a programming/computational context, specifically about KAlgebra (a mathematical software). The sentence is:

"If we introduce the condition before the? it will use this condition only if it is <t>true</t>"

In this context, "true" is used in the boolean/logical sense - a condition is either true or false. This is a computational/programming context where "true" means the condition is satisfied or evaluates to a positive boolean value.

Looking at the candidate senses:

1. "consistent with fact or reality; not false" - This is the general sense of true being factual or real. In the programming context, when a condition is "true", it means the condition is satisfied/valid, which aligns with "not false" in a logical sense.

The other senses are:
2. Accurately placed or thrown - not relevant
3. Devoted to a cause - not relevant
4. Expressing the truth/truthful - somewhat related but more about statements/testimony
5. Conforming to definitive criteria - could apply but not the best fit
6. Worthy of being depended on - not relevant
7. Not pretended; sincerely felt - not relevant
8. Rightly so called - not relevant
9. Geographic north - not relevant
10. Legally established claim - not relevant
11. In tune - not relevant
12. Accurately fitted; level - not relevant

In programming/logic contexts, "true" is the boolean value indicating a condition is satisfied. This most closely aligns with sense 1: "consistent with fact or reality; not false". In boolean logic, true is simply the opposite of false - if a condition evaluates to true, it means the condition holds/is correct.

Sense 1 is the best fit because:
- In programming, "true" means the condition is satisfied
- This matches "not false" - the basic logical definition
- The context is about evaluating whether a condition is true (satisfied) or not

The answer is sense 1.


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: 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}.

finish_reason: stop

role: assistant

reasoning_content:
The context is about a parser that "finds" a function. Let me analyze this:

"When the parser finds a function, it checks if abc is an operator."

This is about a parser (a software component that processes code) encountering or detecting a function during parsing. The parser is systematically processing code and when it encounters/detects a function, it checks something about it.

Let me look at the candidate senses:

1. "come upon, as if by accident; meet with" - This suggests accidental discovery, which doesn't fit well. A parser systematically processes code, it doesn't "accidentally" find functions.

2. "discover or determine the existence, presence, or fact of" - This could work. The parser detects/determines the presence of a function. Examples: "She detected high levels of lead" - detection is a key aspect here.

3. "come upon after searching; find the location of something that was missed or lost" - This is about regaining something lost, not applicable here.

4. "establish after a calculation, investigation, experiment, survey, or study" - This is about determining something through investigation or study. The parser isn't investigating to establish facts; it's detecting/encountering something while processing.

5. "come to believe on the basis of emotion, intuitions, or indefinite grounds" - Not applicable, this is about emotional/intuitive belief.

6. "perceive or be contemporaneous with" - About witnessing something, not quite right for a parser.

7. "get something or somebody for a specific purpose" - Not applicable.

8. "make a discovery, make a new finding" - This is about scientific discovery, not what a parser does.

9. "make a discovery" - Similar to 8, not applicable.

10. "obtain through effort or management" - Not applicable.

11. "decide on and make a declaration about" - Not applicable.

12. "receive a specified treatment (abstract)" - 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" - Not applicable.

16. "accept and make use of one's personality, abilities, and situation" - Not applicable.

The best fit seems to be sense 2: "discover or determine the existence, presence, or fact of" with synonyms like "detect, observe, discover, notice". When a parser "finds" a function, it's detecting or determining the presence of a function in the code it's processing.

However, let me also consider sense 1: "come upon, as if by accident; meet with". The example "We find this idea in Plato" suggests a more general sense of encountering something. But the "as if by accident" part doesn't fit well for a systematic parser.

Sense 4 could also be considered: "establish after a calculation, investigation, experiment, survey, or study" - but this seems more about determining results through investigation, not about encountering/detecting something during processing.

I think sense 2 is the best fit. The parser detects/discovers/observes the presence of a function while parsing code.

format: unknown

native_finish_reason: stop

provider: StreamLake

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

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

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

reasoning_content:
Let me analyze this context and the candidate senses for the word "instance".

The context is discussing a parser and programming language features, specifically about the `?` symbol in what appears to be a mathematical/expression language called Kalgebra. 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 "instance" here refers to a specific occurrence or case of a piecewise definition or a particular branch/condition in the piecewise operation.

Let me look at the two 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"

Sense 1 is about "an occurrence of something" - referring to a specific case or example of something happening.

Sense 2 is about "an item of information that is typical of a class or group" - more about being representative or illustrative.

In the context, "instance" is referring to a particular occurrence/case of a piecewise condition or a specific branch in the piecewise definition. When the parser finds a `?` without any condition, it will enter the last "instance" - meaning the last occurrence/case of the piecewise definition.

This seems closer to sense 1 (an occurrence of something) - it's referring to one specific occurrence/case of a piecewise branch, not something that is "typical of a class or group."

Sense 1 fits better because:
- The word is used to refer to a specific occurrence/case in the sequence of piecewise conditions
- It's not being used to illustrate or represent a class
- The context is about "the last instance" - meaning the final occurrence/case in a series

Therefore, sense 1 is the correct answer.

provider: DigitalOcean


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

[User]
Target lemma: use
Target surface form: used
Context:
: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be <t>used</t> to define a container. Mainly useful for working with piecewise.

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

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

reasoning_content:
1.  **Analyze the Target Lemma and Form**:
    *   Lemma: `use`
    *   Surface form: `used`
    *   Part of Speech: Verb (indicated by the sense candidates provided, mostly starting with 2:34 or 2:41).

2.  **Analyze the Context**:
    *   The text seems to be documentation for a software or programming language (KAlgebra, MathML).
    *   Sentence 1: "It is used to define a variable value."
    *   Sentence 2: "...it will use this condition only if it is true..."
    *   Target Sentence: "It can be used to define a container."
    *   The context describes the function or purpose of a tool or syntax element (MathML container). It is explaining how something is employed or applied to achieve a specific result.

3.  **Analyze the Candidate Senses**:

    *   **Sense 1**: `put into service; make work or employ for a particular purpose or for its inherent or natural purpose`. Synonyms: `utilize, utilise, apply, employ`.
        *   *Fit*: This fits very well. The text explains that a MathML container is "employed" or "utilized" for the specific purpose of defining a container.

    *   **Sense 2**: `take or consume (regularly or habitually)`. Synonyms: `habituate`.
        *   *Fit*: This is about consumption or addiction usually (e.g., drugs). Not fitting for a programming syntax element.

    *   **Sense 3**: `use up, consume fully`. Synonyms: `expend`.
        *   *Fit*: This is about depleting resources. Not fitting.

    *   **Sense 4**: `seek or achieve an end by using to one's advantage`.
        *   *Fit*: This implies exploitation or maneuvering (often implies people or agents with intent to gain advantage). While "defining a container" is an end, this sense usually has a nuance of "using something/someone" to get ahead. Sense 1 is a broader, more standard technical definition of "employing a tool".

    *   **Sense 5**: `avail oneself to`. Synonyms: `practice, apply`.
        *   *Fit*: This is usually for abstract concepts like principles, religions, or laws. "Apply a principle". While one applies a definition, the construction "It can be used to define" is much closer to "employed for a purpose" (Sense 1) than "availing oneself of" a concept (Sense 5).

    *   **Sense 6**: `habitually do something (use only in the past tense)`.
        *   *Fit*: This refers to the "used to" construction indicating past habit. The target is "It can be used to define", which is the passive voice of the main verb "use", not the semi-modal "used to". The infinitive marker "to" follows "used", but here it is a purpose clause ("used [in order] to define"), not the habitual past marker. Therefore, this sense is incorrect.

4.  **Select the Best Sense**:
    *   Sense 1 ("put into service", "employ for a particular purpose") matches the context of technical documentation explaining the function of a tool/syntax. "It can be employed to define..." is synonymous with "It can be used to define...".

5.  **Format Output**:
    *   JSON object format: `{"sense_index": 1}`.

provider: Baidu


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

[User]
Target lemma: define
Target surface form: define
Context:
: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to <t>define</t> a container. Mainly useful for working with piecewise.

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

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

reasoning_content:
1.  **Analyze the Context:** The context talks about programming/mathematical software (KAlgebra, MathML). Specifically, it mentions "define a variable value", "Piecewise condition definition", "define conditional operations", and "define a container". The usage is technical, related to assigning meaning, value, or structure within a computational or symbolic system.

2.  **Analyze the Candidate Senses:**

    *   **Sense 1:** `determine the essential quality of`. Synonyms: specify, delineate, delimit. This is often used for abstract concepts or philosophical definitions.
    *   **Sense 2:** `give a definition for the meaning of a word`. Example: Define 'sadness'. This is lexicographical or pedagogical.
    *   **Sense 3:** `determine the nature of`. Example: What defines a good wine? Similar to Sense 1, often used for identifying characteristics.
    *   **Sense 4:** `show the form or outline of`. Synonyms: delineate. Example: The tree was clearly defined by the light. This is visual/spatial.
    *   **Sense 5:** `decide upon or fix definitely`. Synonyms: specify, set, determine, fix, limit. Examples: "fix the variables", "specify the parameters".

3.  **Map Context to Senses:**

    *   The text discusses defining variables ("define a variable value"), conditions, and containers in a programming context.
    *   This corresponds to setting values, establishing parameters, or specifying what something is within the logic of the program.
    *   Sense 1 ("essential quality") is too abstract.
    *   Sense 2 ("meaning of a word") is incorrect; it's not about natural language definitions.
    *   Sense 3 ("nature of") is also too abstract/qualitative.
    *   Sense 4 ("outline") is visual; not applicable.
    *   Sense 5 involves "decide upon or fix definitely" with examples like "fix the variables". The context phrase "define a variable value" aligns perfectly with the example "fix the variables". The act of defining a variable in programming is precisely fixing its value or specifying its parameters/properties.

4.  **Refine the choice:** Sense 5 is the standard WordNet sense used for technical/programming contexts regarding variables, values, and parameters.

    *   Context: "define a variable value" <-> Example: "fix the variables".
    *   Gloss: "decide upon or fix definitely".
    *   Synonyms: "set", "specify".

    This is the best fit.

5.  **Final Output Formulation:** The user wants a JSON object with the sense index. The index for the chosen sense is 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}
```

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

reasoning_content:
1.  **Analyze the target word and context:**
    *   **Target lemma:** useful
    *   **Context:** The text discusses "MathML container" and "Piecewise condition definition" in a software/calculus context (kalgebra). The sentence is: "Mainly useful for working with piecewise."
    *   **Meaning:** The container serves a purpose; it helps in doing something (working with piecewise). It is beneficial or serviceable for a specific task.

2.  **Analyze the candidate senses:**
    *   **Sense 1:** `useful%3:00:00::`
        *   Definition: "being of use or service"
        *   Synonyms: `utile`
        *   Examples: "the girl felt motherly and useful", "a useful job"
        *   Analysis: This sense denotes general utility or being helpful/beneficial. It applies to agents (girl) and things (job).
    *   **Sense 2:** `useful%5:00:00:functional:00`
        *   Definition: "having a useful function"
        *   Synonyms: `utilitarian`
        *   Examples: "utilitarian steel tables"
        *   Analysis: This sense often implies "functional" or "pragmatic" design, often contrasted with decorative. It suggests the object is designed for utility rather than beauty. It is an adjective describing the nature or design of the object (functional vs decorative).

3.  **Compare senses to context:**
    *   In the sentence "Mainly useful for working with piecewise," the author is explaining *why* the MathML container exists or *how* it helps the user.
    *   Is it describing the container as "functional" as opposed to "decorative"? No, this is technical documentation about a software feature.
    *   Is it describing the container as "being of use or service" for a specific task? Yes. The container serves a purpose; it is helpful for working with piecewise definitions.
    *   Sense 2 (`utilitarian`/functional) usually carries a connotation of design philosophy (plain but functional). The context here is about the utility of a tool in a workflow. The sentence structure "useful for [doing something]" aligns perfectly with the general definition of Sense 1 ("being of use or service").
    *   Sense 1 is the standard, general sense of "useful".
    *   Sense 2 is more specific, often synonymous with "utilitarian" (e.g., a building, a piece of furniture). While a software tool is functional, the usage here ("useful for...") is the standard predicative usage where the adjective describes the quality of being helpful/serviceable, not the specific design aesthetic of "utilitarian".

4.  **Select the best sense:**
    *   Sense 1 fits the general predicative use ("X is useful for Y").
    *   Sense 2 is usually attributive or implies a specific contrast to aesthetic qualities (utilitarian).
    *   The text says "Mainly useful for...", which means "Mainly of service for...". This maps to Sense 1.

5.  **Format output:**
    *   The user wants a JSON object `{"sense_index": X}`.
    *   Sense 1 corresponds to index 1.

    *   Wait, let me double-check the indices.
    *   Candidate 1 is Sense 1.
    *   Candidate 2 is Sense 2.

    *   Let's look at the examples again.
    *   Sense 1 examples: "a useful job" (predicative/attributive general utility).
    *   Sense 2 examples: "utilitarian steel tables" (design characteristic).
    *   Context: "Mainly useful for working with piecewise." This describes the *quality* of the container (it is of use). It does not describe the container as "utilitarian" in the sense of being bare-bones or pragmatic in style.

    Therefore, Sense 1 is the correct choice.

    JSON output: `{"sense_index": 1}`

provider: Parasail


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

[User]
Target lemma: work
Target surface form: working
Context:
?: Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for <t>working</t> with piecewise. Now you could ask me, why should the user mind about MathML?

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

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

reasoning_content:
The target word is "working" in the context: "Mainly useful for <t>working</t> with piecewise."

Let me analyze the context:
- This is technical documentation about MathML and piecewise condition definitions
- The phrase is "useful for working with piecewise"
- This means using or operating with the piecewise functionality

The meaning here is about using or operating with something - in this case, "working with piecewise" means interacting with or using the piecewise functionality in a technical context.

Let me look at the senses:

1. "exert oneself by doing mental or physical work" - This is about effort, not really fitting here.

2. "be employed" - Not about employment.

3. "have an effect or outcome" - This is more about something having an effect, not quite right.

4. "perform as expected when applied" - This is about something functioning properly.

5. "shape, form, or improve a material" - Not about shaping materials.

6. "give a workout to" - Not about exercise.

7. "proceed along a path" - Not about movement.

8. "operate in a certain place, area, or specialty" - This could potentially fit - working in an area.

9. "proceed towards a goal or along a path or through an activity" - Working on/through something.

10. "move in an agitated manner" - Not fitting.

11. "cause to happen or to occur as a consequence" - Not fitting.

12. "cause to work" - Not fitting.

13. "prepare for crops" - Not fitting.

14. "behave in a certain way when handled" - Not fitting.

15. "have and exert influence or effect" - Not fitting.

16. "operate in or through" - This could potentially fit.

17. "cause to operate or function" - Not fitting.

18. "provoke or excite" - Not fitting.

19. "gratify and charm" - Not fitting.

20. "make something, usually for a specific function" - Not fitting.

21. "move into or onto" - Not fitting.

22. "make uniform" - Not fitting.

23. "use or manipulate to one's advantage" - Could potentially fit.

24. "find the solution to (a problem or question)" - Not fitting.

25. "cause to undergo fermentation" - Not fitting.

26. "go sour or spoil" - Not fitting.

27. "arrive at a certain condition through repeated motion" - Not fitting.

Looking more carefully:

"working with piecewise" - this is about using/operating with the piecewise system/functionality.

Sense 1 talks about exerting oneself by doing mental or physical work. This could potentially fit since "working with piecewise" could mean engaging in work involving piecewise.

Sense 8: "operate in a certain place, area, or specialty" - "She works the night clubs" - This is about operating in a domain/area. "Working with piecewise" could be seen as operating in the area of piecewise.

Sense 9: "proceed towards a goal or along a path or through an activity" - "work your way through every problem" - This could fit for "working with piecewise" as engaging in an activity.

Sense 3: "have an effect or outcome" - This doesn't fit well. The phrase is about using something, not about having an effect.

Sense 4: "perform as expected when applied" - This is about functioning correctly. Not fitting.

Actually, looking at this more carefully, "working with [something]" in a technical context typically means:
- Using something
- Engaging with something
- Doing work involving something

Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity" - This is quite general and could cover "working with piecewise" as doing mental work involving piecewise.

But wait, let me reconsider. The phrase "useful for working with piecewise" means that the MathML container is useful when one is working with (using, engaging with) piecewise.

Looking at sense 1 again: "exert oneself by doing mental or physical work for a purpose or out of necessity" - This is about the act of working. The examples "I will work hard to improve my grades" show effort exertion. This doesn't quite capture "working with something" as a general activity.

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" and "She was working on her second martini" - This is about engaging in an activity, working through/with something.

Actually, "working with [something]" is more about engaging in the activity of using that thing.

Let me think about what "working with piecewise" means here. It means using the piecewise functionality, engaging with it for some purpose.

I think sense 1 is actually the best fit: "exert oneself by doing mental or physical work for a purpose or out of necessity". The phrase "working with piecewise" means doing work (mental work in this case) with/using piecewise.

But let me also consider sense 9: "proceed towards a goal or along a path or through an activity" - examples: "work your way through every problem or task". This could potentially fit "working with piecewise" as engaging in an activity.

Actually, I think sense 1 is the most appropriate here. "Working with piecewise" means engaging in work involving piecewise - doing mental work for a purpose (manipulating/using piecewise definitions).

Let me reconsider once more. The context is:
"Mainly useful for working with piecewise."

This is saying the MathML container is useful when you are working with (using, manipulating) piecewise definitions.

Sense 1: doing mental or physical work for a purpose - This captures the general notion of "working" as engaging in work/activity. The "working with piecewise" is the work being done.

Sense 9: proceeding through an activity - This could also fit, but it's more focused on progress through something.

I think sense 1 is the best fit because it captures the general sense of "working" as doing work (in this case, mental work) for a purpose (using/manipulating piecewise).

Actually, let me look at this differently. In technical contexts, "working with X" often means "using X" or "operating with X".

Sense 3: "have an effect or outcome; often the one desired or expected" with synonym "act" - examples "How does your idea work in practice?" - This is about how something functions/works, not about "working with something."

Sense 4: "perform as expected when applied" with synonyms "function, operate, go, run" - This is also about something functioning.

Neither of these is quite right for "working with piecewise" which is about the user's activity, not about something functioning.

I think sense 1 is correct: "exert oneself by doing mental or physical work for a purpose or out of necessity." "Working with piecewise" is doing mental work (using/manipulating piecewise definitions) for a purpose (to achieve some computational or mathematical goal).

The answer should be sense 1.

provider: Friendli


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

[User]
Target lemma: now
Target surface form: Now
Context:
Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. <t>Now</t> you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ().

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

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

reasoning_content:
1.  **Analyze the Target:**
    *   Lemma: "now"
    *   Surface form: "Now"
    *   Context: "Piecewise is the way we can define conditional operations in kalgebra... [technical details] ... Now you could ask me, why should the user mind about MathML? That s easy..."

2.  **Analyze the Contextual Meaning:**
    *   The sentence is "Now you could ask me, why should the user mind about MathML?"
    *   This follows a technical explanation of how to use piecewise functions and MathML containers.
    *   The speaker/author is shifting from explaining the mechanics to addressing a potential question or objection from the reader.
    *   "Now" is used here to introduce a new point in the discourse, shifting the focus from the "how-to" to the "why" or the motivation. It serves as a discourse marker or transition.

3.  **Evaluate Candidate Senses:**

    *   **Sense 1 (now%4:02:05::):** "in the historical present; at this point in the narration of a series of past events".
        *   *Example:* "President Kennedy now calls in the National Guard".
        *   *Fit:* This is a technical documentation/tutorial context, not a narrative of past events using the historical present tense. Incorrect.

    *   **Sense 2 (now%4:02:00::):** "in these times; nowadays".
        *   *Example:* "we now rarely see horse-drawn vehicles".
        *   *Fit:* The sentence isn't making a statement about the current era vs. the past. "Nowadays you could ask me" doesn't fit. Incorrect.

    *   **Sense 3 (now%4:02:02::):** "used to preface a command or reproof or request".
        *   *Example:* "now hear this!".
        *   *Fit:* "Now you could ask me" is a suggestion or a transition to a hypothetical question, but it's not really a command, reproof, or urgent request in the sense of the examples. It's too weak for this sense.

    *   **Sense 4 (now%4:02:04::):** "at the present moment".
        *   *Example:* "goods now on sale".
        *   *Fit:* The action isn't happening strictly at this second in a temporal sense. It's a logical progression in the text. "At the present moment you could ask me" is grammatically possible but semantically awkward compared to the transitional meaning. It's discourse-level, not temporal.

    *   **Sense 5 (now%4:02:01::):** "without delay or hesitation".
        *   *Example:* "he answered immediately".
        *   *Fit:* This refers to speed of action. "Immediately you could ask me" makes no sense here. Incorrect.

    *   **Sense 6 (now%4:02:07::):** "(prefatory or transitional) indicates a change of subject or activity".
        *   *Example:* "Now the next problem is..."
        *   *Fit:* The text moves from defining operations to addressing a user question ("why should the user mind about MathML?"). This is a classic transitional usage. The author is shifting the discourse. This matches perfectly.

    *   **Sense 7 (now%4:02:06::):** "in the immediate past".
        *   *Example:* "told me just now".
        *   *Fit:* Incorrect. The question is being invited for the future or present of the discourse, not referring to the past.

4.  **Conclusion:**
    *   Sense 6 describes a prefatory or transitional use indicating a change of subject or activity. The context shows a shift from technical definition to a Q&A style motivation. The example "Now the next problem is..." is functionally very similar to "Now you could ask me...".

5.  **Final Selection:** 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}.

reasoning_content:
1.  **Analyze the context:** The sentence is "Now you could ask me, why should the user mind about MathML?"
    *   Speaker/Writer is addressing the reader/listener ("you").
    *   Action: "ask me".
    *   Content: "why should the user mind about MathML?" (This is a question).
    *   Situation: The writer is anticipating a potential question from the reader. It's a rhetorical structure used to introduce a new topic or justification. The writer is saying, essentially, "You might ask me this question."

2.  **Analyze the candidate senses:**

    *   **Sense 1:** `ask%2:32:00::` | "inquire about" | examples: "I asked about their special today".
        *   *Analysis:* This is about seeking information on a topic, but the context here specifically involves directing a question to a person ("ask me *why...*"). "Inquire about" is close, but often implies a general inquiry rather than a specific direct question to an interlocutor.

    *   **Sense 2:** `ask%2:32:01::` | "make a request or demand for something to somebody" | examples: "She asked him for a loan".
        *   *Analysis:* This implies asking for an object or favor (a loan), not asking a question expecting an answer. Incorrect.

    *   **Sense 3:** `ask%2:32:02::` | "direct or put; seek an answer to" | examples: "ask a question".
        *   *Analysis:* This is very general. "Put a question".

    *   **Sense 4:** `ask%2:32:05::` | "consider obligatory; request and expect" | synonyms: require, expect | examples: "Aren't we asking too much?".
        *   *Analysis:* This is about demanding/expecting behavior, not asking a question. Incorrect.

    *   **Sense 5:** `ask%2:32:04::` | "address a question to and expect an answer from" | examples: "Ask your teacher about trigonometry".
        *   *Analysis:* The example "Ask your teacher about trigonometry" is very similar to the context. The context is "ask me [a question]". The definition "address a question to and expect an answer from" fits perfectly. The writer is the target of the potential question ("me"). The user is the agent ("you"). The content is "why should the user mind...".
        *   Comparison with Sense 1: Sense 1 is "inquire about". Sense 5 adds the specific directional component "address a question to [someone]". In "ask me", "me" is the indirect object (the person being asked). Sense 5's definition specifically mentions "address a question to", which captures the "ask [person]" structure better than just "inquire about".

    *   **Sense 6:** `ask%2:42:00::` | "require as useful, just, or proper" | synonyms: necessitate, involve.
        *   *Analysis:* This is the "it takes/asks" sense (entailment). Incorrect.

    *   **Sense 7:** `ask%2:32:09::` | "require or ask for as a price or condition".
        *   *Analysis:* Price/condition setting. Incorrect.

3.  **Refine choice between Sense 1 and Sense 5:**
    *   Context: "ask me".
    *   Sense 1 (inquire about): usually focuses on the topic. "I asked about the car."
    *   Sense 5 (address a question to): focuses on the person being questioned. "Ask your teacher."
    *   The sentence structure "ask [indirect object] [direct object/question]" is the classic ditransitive or transitive-with-preposition structure associated with Sense 5 ("address a question to and expect an answer from"). The example in Sense 5 ("Ask your teacher about trigonometry") is almost a perfect structural match for "Ask me why...". (Note: the context sentence is "ask me, why...", which acts as the direct object).

    Let's look at the WordNet hierarchy/definitions again.
    *   Sense 1: `ask%2:32:00::` (inquire about). WordNet usually distinguishes between the act of inquiring generally and addressing someone specifically.
    *   Sense 5: `ask%2:32:04::` (address a question to and expect an answer from).
    *   The phrase "ask me" clearly targets the person. "Me" is the addressee.
    *   Therefore, Sense 5 is the best fit because it explicitly captures the "address a question to" aspect present in the text ("ask *me*").

4.  **Final check:**
    *   Context: "Now you could ask me..."
    *   Target: ask
    *   Meaning: You could pose a question to me.
    *   Sense 5 definition: "address a question to and expect an answer from".
    *   Sense 5 example: "Ask your teacher about trigonometry".
    *   Match: High.

    Sense 1 (inquire about) is also possible, but Sense 5 captures the interpersonal transaction ("to me") which is explicit in the text.

    Let's double check Sense 3: "direct or put; seek an answer to". Example: "ask a question". This is often used for the transitive use "ask a question". Here we have "ask me [something]". While Sense 3 covers "putting" the question, Sense 5 covers the *addressing* of the person, which is the primary semantic load of "ask me".

    Let's look at the mapping in WordNet 3.0/3.1.
    1. inquire, ask, enquire -- (inquire about; "I asked about their special today"; "He had to ask directions several times")
    2. ask -- (make a request or demand for something to somebody; "She asked him for a loan")
    3. ask -- (direct or put; seek an answer to; "ask a question")
    4. ask, require, expect -- (consider obligatory; request and expect; "We require our secretary to be on time"; "Aren't we asking too much of these children?"; "This intervention asks many questions of the reader")
    5. ask -- (address a question to and expect an answer from; "Ask your teacher about trigonometry"; "The children asked me about their dead grandmother")
    6. necessitate, ask, postulate, need, require, take, involve, call for, demand -- (require as useful, just, or proper; "It takes nerve to do what she did"; "success usually requires hard work")
    7. ask -- (require or ask for as a price or condition; "He is asking $200 for the table"; "The kidnappers are asking a million dollars in return for the release of their hostage")

    The context "ask me" involves a specific addressee ("me").
    Sense 1 ("inquire about") focuses on the topic.
    Sense 5 ("address a question to...") focuses on the addressee.
    The text says "ask me". This highlights the addressee.
    Therefore, Sense 5 is the correct choice.

    Index numbering in the prompt:
    1. sense_key=ask%2:32:00:: (inquire about)
    ...
    5. sense_key=ask%2:32:04:: (address a question to...)

    The prompt asks for the "single best indexed sense".
    Choice: Sense 5.

provider: Novita


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

[User]
Target lemma: 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:
The context is about a software (kalgebra) and mentions "why should the user mind about MathML?". Here "user" refers to a person who uses the software/thing.
Sense 1: a person who makes use of a thing; someone who uses or employs something. This matches perfectly.
Sense 2: selfishly or unethically (exploiter).
Sense 3: drug user.

The best sense is sense 1.

provider: SiliconFlow


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

[User]
Target lemma: easy
Target surface form: easy
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s <t>easy</t>. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

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

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

reasoning_content:
1.  **Analyze the context**:
    *   Sentence: "Now you could ask me, why should the user mind about MathML? That s easy."
    *   Surrounding context: The speaker is explaining technical details about MathML, containers, and piecewise functions. They pose a rhetorical question about why a user should care about MathML.
    *   The answer "That s easy" implies that the answer to the question is simple to understand or explain. The subsequent sentence ("With this, we can operate with functions like...") provides the straightforward reason.

2.  **Analyze the candidate senses**:
    *   Sense 1: "posing no difficulty; requiring little effort" (e.g., an easy job; an easy problem). This fits the meaning of "it is simple to explain/understand".
    *   Sense 2: "not hurried or forced" (e.g., an easy walk). Doesn't fit the context of an explanation or answer.
    *   Sense 3: "free from worry or anxiety". Doesn't fit.
    *   Sense 4: "affording pleasure". Doesn't fit.
    *   Sense 5: "having little impact". Doesn't fit.
    *   Sense 6: "readily exploited or tricked". Doesn't fit.
    *   Sense 7: "in fortunate circumstances financially". Doesn't fit.
    *   Sense 8: "marked by moderate steepness". Doesn't fit.
    *   Sense 9: "affording comfort". Doesn't fit.
    *   Sense 10: "casual and unrestrained in sexual behavior". Doesn't fit.
    *   Sense 11: "less in demand and therefore readily obtainable". Doesn't fit.
    *   Sense 12: "obtained with little effort...". Usually refers to money or resources, not an explanation/answer.

3.  **Select the best sense**:
    *   The phrase "That's easy" in response to a question usually means "The answer is simple" or "The reason is straightforward."
    *   Sense 1 covers the meaning of "posing no difficulty" or "requiring little effort" (to understand or explain).
    *   This aligns perfectly with the context where the speaker is about to give a simple reason for using MathML.

4.  **Format the output**:
    *   The user wants a JSON object with the sense_index.
    *   Sense 1 corresponds to index 1.

    *   Wait, let me double-check the indices.
    *   1. sense_key=easy%3:00:01:: (posing no difficulty) -> Index 1.
    *   This seems correct. The answer is simple/straightforward.

    *   Is there any ambiguity?
        *   Could it mean "obtained with little effort" (Sense 12)? No, "That's easy" refers to the *reason* or the *answer*, not a resource.
        *   Could it mean "less in demand" (Sense 11)? No.
        *   Could it mean "not hurried" (Sense 2)? No.

    *   Conclusion: Sense 1 is the correct choice. It refers to the lack of difficulty in grasping the concept or providing the answer.

provider: Chutes


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

[User]
Target lemma: function
Target surface form: functions
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with <t>functions</t> like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

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

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

reasoning_content:
1.  **Analyze the target word and context:**
    *   Target lemma: "function"
    *   Target surface form: "functions"
    *   Context snippet: "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."
    *   Key indicators: "MathML", "cos()", "sin()", "trigonometric functions", "sum()", "product()". These are mathematical/programming concepts.

2.  **Analyze the candidate senses:**
    *   Sense 1: "(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, map, mapping.
    *   Sense 2: "what something is used for" | Synonyms: purpose, role, use.
    *   Sense 3: "the actions and activities assigned to or required or expected of a person or group" | Synonyms: office, part, role.
    *   Sense 4: "a relation such that one thing is dependent on another" | Examples: height is a function of age.
    *   Sense 5: "a formal or official social gathering or ceremony".
    *   Sense 6: "a vaguely specified social event".
    *   Sense 7: "a set sequence of steps, part of larger computer program" | Synonyms: routine, subroutine, subprogram, procedure.

3.  **Disambiguate:**
    *   The context mentions "cos(), sin()... sum() or product()". These are examples of mathematical functions (trigonometric functions, summation, product).
    *   The context mentions MathML (Mathematical Markup Language).
    *   The phrase "trigonometric functions" strongly points to the mathematical definition.
    *   Let's compare Sense 1 and Sense 7. Sense 1 is specifically "mathematical function". Sense 7 is "computer program subroutine".
    *   While these can be implemented as subroutines in code, the text explicitly calls them "trigonometric functions" and discusses them in the context of MathML (a standard for describing mathematical notation). The examples "cos" and "sin" are classic mathematical functions.
    *   Sense 1's definition matches "mathematical relation... associated with an element". Sense 4 is a variation of dependency, not the specific entity "cos()" or "sin()".
    *   Sense 1 includes the synonym "mathematical function". The text uses the phrase "trigonometric functions". This is a direct match.
    *   Although "cos()" looks like code (which might suggest Sense 7), the overarching context is MathML and mathematical operations/trigonometric functions. The definition of "mathematical function" (Sense 1) is the primary meaning here. Sense 7 usually refers to a block of code defined in a programming language (like `def my_function():` in Python), whereas `cos()` here represents the abstract mathematical concept or the specific standard mathematical function being invoked/rendered via MathML.
    *   Sense 1 is the best fit.

4.  **Select the index:**
    *   Sense 1 corresponds to index 1.

5.  **Final Check:**
    *   Does Sense 1 fit? Yes. "cos", "sin", "sum", "product" are all mathematical functions.
    *   Does Sense 7 fit? It's possible in a strict programming context, but the text talks about "trigonometric functions" (math term) and MathML. MathML represents mathematical structures. Sense 1 is the root concept. Sense 7 is usually for "calling a function" in programming logic context, but the text is describing the *entities* (functions like cos/sin) being manipulated. Sense 1 is the specific "mathematical function" sense.
    *   I will select index 1.


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

[User]
Target lemma: cos
Target surface form: cos()
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like <t>cos()</t>, sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

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

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

reasoning_content:
1.  **Analyze the Target Lemma**: The target lemma is "cos". The surface form is "cos()".
2.  **Analyze the Context**:
    *   "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 ()."
    *   Key context clues: "MathML", "functions", "sin()", "trigonometric functions".
    *   The text explicitly mentions trigonometric functions. It lists "cos()" alongside "sin()".
3.  **Evaluate Candidate Senses**:
    *   Sense 1: `cos%1:24:00::` | definition: "ratio of the adjacent side to the hypotenuse of a right-angled triangle" | synonyms: "cosine". This refers to the mathematical function cosine.
    *   Sense 2: `cos%1:13:00::` | definition: "lettuce..." | synonyms: "romaine". This is the vegetable.
    *   Sense 3: `carbon_monoxide%1:27:00::` | definition: "an odorless very poisonous gas..." | synonyms: "CO". This is the chemical compound. "cos" is not a standard abbreviation for this, though "CO" is.
    *   Sense 4: `cobalt%1:27:00::` | definition: "metallic element..." | synonyms: "Co". "cos" is not standard for this.
    *   Sense 5: `conscientious_objector%1:18:00::` | definition: "one who refuses to serve..." | synonyms: "CO". Not relevant.
    *   Sense 6: `colorado%1:15:00::` | definition: "a state..." | synonyms: "CO". Not relevant.
4.  **Match Context to Sense**:
    *   The context is discussing mathematical functions within MathML. It explicitly mentions "trigonometric functions" and pairs "cos()" with "sin()".
    *   "cos" is the standard abbreviation for "cosine" in mathematics.
    *   Sense 1 defines cosine.
    *   The other senses (lettuce, gas, element, objector, state) are irrelevant to the context of mathematical functions.
5.  **Select Best Sense**: Sense 1 matches perfectly with the trigonometric function context.
6.  **Format Output**: The instructions ask for a JSON object `{"sense_index": X}` where X is the index number.
    *   Index 1 corresponds to `cos%1:24:00::`.

provider: DeepInfra


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

[User]
Target lemma: sin
Target surface form: sin()
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), <t>sin()</t>, any other trigonometric functions, sum () or product (). It does not matter what kind it is.

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

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

reasoning_content:
1.  like "cos()", "product()".
    *   Task: Word Sense Disambiguation (WSD).
    *   Output format: JSON `{"sense_index": X}`.

2.  **Analyze the Context**:
    *   The sentence mentions: "MathML container", "functions like cos(), <t>sin()</t>, any other trigonometric functions".
    *   The presence of "cos()", "trigonometric functions", and "MathML" strongly indicates a mathematical context.
    *   "sin()" refers to the sine function in mathematics/programming.

3.  **Analyze the Candidate Senses**:
    *   Sense 1: `sin%1:07:00::` | Definition: estrangement from god. (Religious context).
    *  2: `sin%1:04:00::` | Definition: an act that is regarded by theologians as a transgression of God's will. (Religious context).
    *   Sense 3: `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. (Mathematical context).
    *   Sense 4: `sin%1:18:00::` | Definition: (Akkadian) god of the Moon. (Mythological context).
    *   Sense 5: `sin%1:10:00::` | Definition: the 21st letter of the Hebrew alphabet. (Linguistic/Alphabet context).
    *   Sense 6: `sin%1:04:01::` | Definition: violent and excited activity. (Colloquial context).

4.  **Match Context to Sense**:
    *   The context is clearly mathematical ("cos()", "trigonometric functions", "MathML").
    *   Sense 3 defines "sin" as the trigonometric ratio (sine).
    *   Therefore, Sense 3 is the correct match.

5.  **Format the Output**:
    *   The user requested "Return only a JSON object exactly like {"sense_index": 3}".
    *   The chosen index is 3.

6.  **Final Check**:
    *   Does "sin()" match "ratio of the length..."? Yes, in programming and MathML contexts, "sin()" denotes the sine function.
    *   The synonyms for sense 3 include "sine".
    *   The context explicitly mentions "trigonometric functions".

7.  **Construct JSON**: `{"sense_index": 3}`.

provider: Amazon Bedrock


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

[User]
Target lemma: other
Target surface form: other
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any <t>other</t> trigonometric functions, sum () or product (). It does not matter what kind it is.

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

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

reasoning_content:
Let me analyze the context to determine the appropriate sense for the word "other" in the given sentence.

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

In this context, "other" is used to refer to trigonometric functions that are not the ones already mentioned (cos(), sin()). The author has given examples of some trigonometric functions (cos and sin) and then refers to "other" trigonometric functions, meaning additional trigonometric functions beyond the ones already named.

Let's examine the candidate senses:

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

This sense matches the usage in the context. The "other" is used to refer to trigonometric functions that are not the ones already mentioned (cos and sin).

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

This sense refers to time and doesn't match our context.

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

This sense also refers to time and doesn't match our context.

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

This sense is about something being unusual or strange, which doesn't match our context.

Based on this analysis, the best match is sense 1, which defines "other" as "not the same one or ones already mentioned or implied." This matches perfectly with the usage in the context, where "other trigonometric functions" refers to trigonometric functions beyond the ones already mentioned (cos and sin).

So, I'll choose sense index 1 as the answer.


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

[User]
Target lemma: sum
Target surface form: sum
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, <t>sum</t> () or product (). It does not matter what kind it is.

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

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

reasoning_content:
1.  **Analyze the context**:
    *   Sentence: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum() or product()."
    *   Domain: Mathematics, Computer Science / Programming (specifically MathML or a mathematical library).
    *   Target word: "sum" appears as a function call `sum()`.
    *   Meaning: It refers to the mathematical operation of adding numbers together (summation). It is listed alongside `cos()`, `sin()`, and `product()`.

2.  **Analyze the candidate senses**:
    *   Sense 1: "a quantity of money" (Synonyms: sum of money). -> Incorrect. Not about money.
    *   Sense 2: "a quantity obtained by the addition of a group of numbers" (Synonyms: amount, total). -> Plausible. It refers to the result of adding numbers.
    *   Sense 3: "the final aggregate" (Synonyms: summation, sum total). -> Similar to sense 2, but often more abstract or metaphorical (e.g., sum of troubles).
    *   Sense 4: "the choicest or most essential or most vital part..." (Synonyms: gist, essence). -> Incorrect.
    *   Sense 5: "the whole amount" (Synonyms: total, totality). -> Generic total.
    *   Sense 6: "a set containing all and only the members of two or more given sets" (Synonyms: union, join). -> Set theory definition. While "sum" is sometimes used for union (especially in symmetric difference contexts or disjoint union), `sum()` in a mathematical function context usually refers to arithmetic addition of terms (summation).

3.  **Refine the choice**:
    *   The context explicitly contrasts `sum()` with `product()`. In mathematics, summation (sigma notation) is the addition of a sequence of numbers. Product is the multiplication of a sequence.
    *   Sense 2 defines "a quantity obtained by the addition of a group of numbers". This is the closest definition to the mathematical function `sum()`. The function calculates the sum (the result of addition).
    *   Sense 3 ("final aggregate") is close, but Sense 2 is more precise regarding the *process* or result of addition of numbers specifically.
    *   Sense 6 refers to set union. While mathematically valid in set theory, the standard function `sum()` in libraries (like MathML, numpy, etc.) calculates the arithmetic total, not the set union. Therefore, Sense 2 is the correct semantic match for the arithmetic operation/result.

4.  **Select the index**: Sense 2.

5.  **Format output**: JSON object.


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

[User]
Target lemma: product
Target surface form: product
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or <t>product</t> (). It does not matter what kind it is.

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

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

reasoning_content:
1.  **Analyze the context:**
    *   The context discusses "MathML container," "piecewise," "functions like cos(), sin()," "sum()," and "product()."
    *   The target word is "product" used inside parentheses: "product()".
    *   The surrounding text mentions trigonometric functions, summation, and mathematical operations.
    *   This is clearly a mathematical/programming context involving operations on numbers.

2.  **Analyze the candidate senses:**
    *   **Sense 1:** "commodities offered for sale" (merchandise). -> Incorrect. Not about selling things.
    *   **Sense 2:** "an artifact that has been created" (production). -> Incorrect. Not about manufacturing.
    *   **Sense 3:** "a quantity obtained by multiplication" (mathematical product). -> Correct. The context lists "sum()" and "product()" as mathematical functions similar to "cos()" and "sin()". In mathematics, the product is the result of multiplying numbers (or the operation itself), often denoted by capital Pi ($\Pi$) notation, analogous to Sum ($\Sigma$) notation.
    *   **Sense 4:** "a chemical substance formed..." -> Incorrect. Not chemistry.
    *   **Sense 5:** "a consequence of someone's efforts..." -> Incorrect. Not abstract cause-and-effect.
    *   **Sense 6:** "the set of elements common to two or more sets" (intersection/Cartesian product). -> This is tricky. While "Cartesian product" is a mathematical concept, the gloss says "set of elements common to two or more sets" which is the definition of *intersection*. WordNet often groups related concepts, but "product()" usually refers to the arithmetic product (multiplication of a series), especially when paired with "sum()". Sense 3 refers to the result of multiplication (arithmetic), which fits the general mathematical function context better than the set theory specific sense (which is usually called "intersection" or specifically "Cartesian product" rather than just "product" in a list of standard functions like sum/cos/sin). The example for Sense 3 is "the product of 2 and 3 is 6", fitting the arithmetic operation context of "sum()" and "product()" functions in libraries like MathML.

3.  **Determine the best fit:**
    *   The context lists "sum () or product ()".
    *   MathML Content elements define `<sum>` and `<product>` for representing summation and product operators (capital sigma and capital pi notation).
    *   Sense 3 defines "product" as "a quantity obtained by multiplication".
    *   This is the standard arithmetic definition of product.
    *   Sense 6 mentions "Cartesian product" as a synonym, but the gloss focuses on "intersection" logic ("set of elements common to..."). The Cartesian product is distinct from the intersection. The context lists "product()" alongside "sum()" and "trigonometric functions". This indicates arithmetic/calculus operations on numbers. Therefore, Sense 3 is the correct choice.

4.  **Format the output:**
    *   The user requested a specific JSON format: `{"sense_index": X}` where X is the integer.
    *   The chosen sense is index 3.

provider: Together


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

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

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

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

reasoning_content:
1.  **Analyze the context**: The sentence is "We can use plus(), times() and everything which has its operator." The text describes the functionality of a software tool (Kalgebra) where mathematical functions and operators can be utilized.
2.  **Analyze the target word**: "use" is a verb here. It means to employ or apply functions/operators in a computational context.
3.  **Evaluate Candidate Senses**:
    *   Sense 1: "put into service; make work or employ for a particular purpose or for its inherent or natural purpose". Synonyms: utilize, apply, employ. Examples: "use your head!", "we only use Spanish at home". This fits the context of employing functions (plus(), times()) in a software console.
    *   Sense 2: "take or consume (regularly or habitually)". Synonyms: habituate. Examples: "She uses drugs rarely". This is about consumption/addiction, not relevant here.
    *   Sense 3: "use up, consume fully". Synonyms: expend. Examples: "The legislature expended its time...". This is about depletion, not relevant here.
    *   Sense 4: "seek or achieve an end by using to one's advantage". Examples: "She uses her influential friends...". This implies manipulation or exploiting a resource for a specific gain, which is slightly off-target for simply calling a function.
    *   Sense 5: "avail oneself to". Synonyms: practice, apply. Examples: "apply a principle; practice a religion". This is abstract application. While close, Sense 1 is the general "employ/utilize" sense which fits "using a tool/function" best.
    *   Sense 6: "habitually do something (use only in the past tense)". This is the "used to" construction. The target is present tense "can use", so this is incorrect.
4.  **Select Best Sense**: Sense 1 covers the general act of putting something into service or employing it. In computing contexts, we "use" functions or tools. The definition "make work or employ for a particular purpose" matches "use plus(), times()" perfectly.
5.  **Format Output**: The user wants JSON {"sense_index": X}. Sense 1 is the correct index.