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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target word "finds" (lemma: find) based on the provided context.

Context: "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."

The context is highly technical, related to programming or conditional logic (piecewise condition definition, kalgebra, parser, operator, function).

The phrase is "if it finds a?". This suggests that the action of "finding" is related to locating, matching, or encountering a specific structure or pattern ("a?").

Let's analyze the candidate senses:

1. **sense_key=find%2:40:02::** come upon, as if by accident; meet with. (Encountering something.)
2. **sense_key=find%2:39:02::** discover or determine the existence, presence, or fact of. (Detecting/observing.)
3. **sense_key=find%2:40:00::** come upon after searching; find the location of something that was missed or lost. (Locating a lost item.)
4. **sense_key=find%2:32:00::** establish after a calculation, investigation, experiment, survey, or study. (Determining a result.)
5. **sense_key=find%2:31:10::** come to believe on the basis of emotion, intuitions, or indefinite grounds. (Believing.)
6. **sense_key=find%2:39:01::** perceive or be contemporaneous with. (Seeing/witnessing.)
7. **sense_key=find%2:40:01::** get something or somebody for a specific purpose. (Acquiring/obtaining.)
8. **sense_key=find%2:36:00::** make a discovery, make a new finding. (Scientific discovery.)
9. **sense_key=find%2:31:09::** make a discovery. (General discovery.)
10. **sense_key=find%2:40:03::** obtain through effort or management. (Obtaining resources/time.)
11. **sense_key=find%2:32:01::** decide on and make a declaration about. (Judging/determining guilt.)
12. **sense_key=find%2:30:00::** receive a specified treatment (abstract). (Receiving expression/interpretation.)
13. **sense_key=find%2:39:05::** perceive oneself to be in a certain condition or place. (Self-perception.)
14. **sense_key=find%2:40:15::** get or find back; recover the use of. (Recovering/retrieving.)
15. **sense_key=find%2:38:10::** succeed in reaching; arrive at. (Reaching a target.)
16. **sense_key=find%2:30:13::** accept and make use of one's personality, abilities, and situation. (Self-discovery.)

The context is about a conditional structure ("if it finds a?"). In programming/logic, "finding" usually means matching a pattern, locating a specific element, or encountering a defined structure.

*   Sense 1 (Encountering): "if it encounters a?" - Plausible in a parsing context.
*   Sense 2 (Discovering existence): "if it detects a?" - Plausible, checking for the presence of a pattern.
*   Sense 3 (Locating lost item): Too specific (lost items).
*   Sense 4 (Establishing after calculation): Usually applies to results, not structural matching.
*   Sense 6 (Perceive/Contemporaneous): Less likely for a machine process.
*   Sense 15 (Arrive at/Reaching): Possible, but usually implies a goal state, not just matching a structure.

Given the technical nature (parser, function, condition definition), the action is likely about checking if a specific pattern or element exists or is matched.

Sense 2: "discover or determine the existence, presence, or fact of." This fits well with a parser checking if a certain structure ("a?") is present or matches the criteria.

Sense 1: "come upon, as if by accident; meet with." This is also very close, suggesting an encounter.

Let's compare 1 and 2 in the context of code/parsing.
If the code is checking for a pattern `a?`, it is determining the *existence* of that pattern (Sense 2), or it is *encountering* that pattern (Sense 1).

In formal language theory or parsing, "finding" a pattern usually means successfully matching it, which is a form of detection or determination of presence.

Sense 2: "We found traces of lead in the paint." (Determining presence).
Sense 1: "I happened upon the most wonderful bakery." (Accidental encounter).

Since the context is about a conditional check within a system (parser/kalgebra), the function is likely checking for the *presence* or *existence* of a certain element/structure. Sense 2 captures this determination/detection aspect most accurately in a technical context.

I will select Sense 2.


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

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

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

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

finish_reason: stop

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

role: assistant

reasoning_content:
Thinking Process:

1.  **Analyze the Target Word and Context:**
    *   Target Lemma: `instance`
    *   Target Surface Form: `instance`
    *   Context Sentence: "If it finds a? without any condition, it will enter in the last <t>instance</t>."
    *   Surrounding text suggests a technical/programming context (parser, operator, function, piecewise condition definition, kalgebra). The structure `if condition then result else instance` (or similar control flow) is implied.

2.  **Analyze the Candidate Senses:**

    *   **Sense 1 (instance%1:11:00):**
        *   Definition: an occurrence of something
        *   Synonyms: case, example
        *   Examples: "it was a case of bad judgment; another instance occurred yesterday"
        *   *Relevance Check:* In programming/logic, an "occurrence" or "case" is highly relevant. When a condition is not met, the code enters a specific *case* or *instance* (the default/last case).

    *   **Sense 2 (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"
        *   *Relevance Check:* This sense relates to typicality or representation (e.g., a representative sample). While "example" is a synonym, the context ("enter in the last...") suggests a structural fallback or specific state, not necessarily a typical representation.

3.  **Compare and Select the Best Fit:**
    *   The context describes a control flow mechanism (a conditional structure, likely a `switch` or `if/else if/else` structure, given the mention of "Piecewise condition definition").
    *   When a condition fails, the code falls into the "last instance." This "instance" refers to the specific *occurrence* or *case* that is executed when no other conditions are met.
    *   Sense 1 ("an occurrence of something," synonyms: "case") perfectly matches this structural/logical meaning.
    *   Sense 2 ("a typical example," synonyms: "representative") is too abstract and relates to statistical or illustrative examples, not the execution path of a program.

4.  **Conclusion:** Sense 1 is the best fit.

5.  **Format the Output:** (The instruction requires returning only a JSON object with the sense index, but since the provided candidates are not numbered 1, 2, 3, I must assume the prompt intends for me to select the index corresponding to the chosen sense. Since I am selecting Sense 1, and the prompt structure implies a numbered list, I will assume the provided list structure is the numbering.)

    *   Sense 1 -> Index 1
    *   Sense 2 -> Index 2

    *Self-Correction/Refinement:* The prompt asks for `{"sense_index": 3}` in the example, implying there might be more senses or a specific indexing scheme. Since I only have two candidates, I will use the index corresponding to the chosen sense (Sense 1). If the prompt structure implies a hidden index 3, I cannot fulfill it accurately. Sticking strictly to the provided data, Sense 1 is the choice. I will assume the provided list is indexed starting from 1.

    *Final Choice:* Sense 1.

currency: USD

source: unavailable


[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:
Thinking Process:

1.  **Analyze the Target Word and Context:**
    *   Target lemma: `use`
    *   Target surface form: `used` (past tense/past participle)
    *   Context: "It can be `<t>used</t>` to define a container. Mainly useful for working with piecewise."
    *   The context describes a technical/programming/mathematical environment (kalgebra, piecewise, defining a container). The word `used` is used in the phrase "It can be used to define a container."

2.  **Analyze the Candidate Senses (Focusing on the meaning of 'used' in the context of defining/employing a feature):**

    *   1. `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. (This fits the idea of employing a feature/element for a specific purpose.)
    *   2. `use%2:34:02`: definition=take or consume (regularly or habitually) | synonyms=habituate. (Consumption/habit is irrelevant here.)
    *   3. `use%2:34:00`: definition=use up, consume fully | synonyms=expend. (Consumption/depletion is irrelevant here.)
    *   4. `use%2:41:14`: definition=seek or achieve an end by using to one's advantage. (Focuses on personal advantage/strategy, less on technical implementation.)
    *   5. `use%2:41:04`: definition=avail oneself to | synonyms=practice, apply. (Similar to 4, focuses on personal action/practice.)
    *   6. `use%2:41:03`: definition=habitually do something (use only in the past tense). (Focuses on past habits, irrelevant here.)

3.  **Match Context to Sense:**
    *   The sentence is: "It can be used to define a container."
    *   This means the element/feature (`It`) is employed or utilized for the purpose of defining a container.
    *   Sense 1 (`put into service; make work or employ for a particular purpose`) is the strongest match. "Used to define a container" means the element is employed for that specific purpose.

4.  **Select the Best Sense Index:**
    *   Sense 1 corresponds to `sense_key=use%2:34:01`.

5.  **Format the Output:** (Ensure the output is a JSON object with the correct structure.)


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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target word "define" based on the provided context and candidate senses.

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."

Target word: "define" (appears twice, once in "define a variable value" and once in "define a container").

Let's analyze the usage:
1. "It is used to define a variable value." -> Here, "define" means to specify or set the value of a variable.
2. "It can be used to <t>define</t> a container." -> Here, "define" means to specify the structure or form of a container.

Let's evaluate the candidate senses:

1. `define%2:42:00`: definition=determine the essential quality of | synonyms=specify, delineate, delimit, delimitate. (Relates to essential nature/quality).
2. `define%2:32:00`: definition=give a definition for the meaning of a word | examples=Define `sadness'. (Lexical definition).
3. `define%2:42:01`: definition=determine the nature of | examples=What defines a good wine?. (Similar to 1, focusing on nature/essence).
4. `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. (Relates to outlining/forming).
5. `define%2:32:01`: definition=decide upon or fix definitely | synonyms=specify, set, determine, fix, limit | examples=fix the variables; specify the parameters. (Relates to setting/fixing values or parameters).

Matching the usage:

Usage 1: "define a variable value."
This strongly matches sense 5: "decide upon or fix definitely | synonyms=specify, set, determine, fix, limit | examples=fix the variables; specify the parameters."

Usage 2: "define a container."
This could match sense 4 ("show the form or outline of") or sense 5 ("specify the parameters/structure"). Since a container has a form/structure, sense 4 is plausible, but sense 5 (specifying parameters/structure) is also very strong in a technical/programming context (like MathML).

Since sense 5 covers both "fixing a variable value" (Usage 1) and "specifying parameters/structure" (Usage 2), it is the most comprehensive and accurate fit for the technical context provided.

Let's check the index requested: The user asks for the JSON output using the sense index (which corresponds to the number in the list).

Sense 5 is the best fit.


[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}.

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

reasoning_content:
Thinking Process:

1.  **Analyze the Target Word and Context:**
    *   Target Lemma: useful
    *   Target Surface Form: useful
    *   Context: "Mainly <t>useful</t> for working with piecewise. Now you could ask me, why should the user mind about MathML?"
    *   The word "useful" is used here to describe the *purpose* or *utility* of the MathML container (`<t>useful</t>`) when dealing with "piecewise" definitions.

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`
        *   Focus: General utility, service, helpfulness (e.g., a useful job).
        *   Fit to Context: The MathML container is useful *for* working with piecewise functions. This aligns well with general utility/service.

    *   **Sense 2:** `useful%5:00:00:functional:00 | definition=having a useful function | synonyms=utilitarian | examples=utilitarian steel tables`
        *   Focus: Having a specific, practical function (often related to design or engineering).
        *   Fit to Context: While the container *has* a function, the context emphasizes its *helpfulness* in the process ("useful for working with piecewise"), which is a broader concept of utility rather than just fulfilling a specific mechanical or design function (like a utilitarian table).

3.  **Compare and Select the Best Sense:**
    *   The context is about the *applicability* and *helpfulness* of a tool (MathML) in a specific task (piecewise definitions).
    *   Sense 1 ("being of use or service") captures this general helpfulness perfectly.
    *   Sense 2 ("having a useful function") is too narrow and technical, focusing on the *nature* of the function rather than the *benefit* derived from it.

4.  **Conclusion:** Sense 1 is the best fit.

5.  **Format the Output:** The instruction requires a JSON object with the sense index. (Sense 1 corresponds to index 1 in the provided list).


[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:
1.  **Analyze the Request:** The goal is to perform fine-grained Word Sense Disambiguation (WSD) for the target surface form "working" (derived from the lemma "work") within the provided context. I must choose the single best sense index and return it in a specific JSON format.

2.  **Analyze the 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?"

3.  **Analyze the Target Word:** "working" (in the phrase `<t>working</t>`).

4.  **Determine the Meaning in Context:** The context is highly technical, discussing programming/mathematical concepts (Piecewise condition definition, kalgebra, MathML container). The phrase "Mainly useful for <t>working</t> with piecewise" suggests that "working" refers to the *operation* or *function* of the system/code/definition when using piecewise functions. It implies how the system *operates* or *functions* when combined with piecewise logic.

5.  **Evaluate Candidate Senses (Focusing on Function/Operation):**

    *   1. exert oneself (physical/mental effort) -> Unlikely.
    *   2. be employed -> Unlikely.
    *   3. have an effect or outcome; often the one desired or expected (Synonyms: act) -> Plausible. How does the definition *act* or *function*?
    *   4. perform as expected when applied (Synonyms: function, operate, go, run) -> Highly Plausible. This directly relates to how a system or definition *operates*.
    *   5. shape, form, or improve a material -> Unlikely (not about physical materials here).
    *   6. give a workout to -> Unlikely.
    *   7. proceed along a path -> Unlikely.
    *   8. operate in a certain place, area, or specialty -> Unlikely (not about geographical/professional scope).
    *   9. proceed towards a goal or along a path or through an activity -> Less likely than 4.
    *   10. move in an agitated manner -> Unlikely.
    *   11. cause to happen or to occur as a consequence -> Possible, but less direct than 4.
    *   12. cause to work -> Unlikely (it's the thing *doing* the working).
    *   13. prepare for crops -> Unlikely.
    *   14. behave in a certain way when handled -> Plausible, but Sense 4 is broader and fits "function" better.
    *   15. have and exert influence or effect -> Plausible, but Sense 4 is more about mechanical/logical operation.
    *   16. operate in or through -> Unlikely.
    *   17. cause to operate or function -> Unlikely (it's the thing *doing* the working).
    *   18. provoke or excite -> Unlikely.
    *   19. gratify and charm -> Unlikely.
    *   20. make something, usually for a specific function -> Unlikely (it's the process, not the creation).
    *   21. move into or onto -> Unlikely.
    *   22. make uniform -> Unlikely.
    *   23. use or manipulate to one's advantage -> Possible, but Sense 4 is more neutral regarding success/failure.
    *   24. find the solution to (a problem or question) or understand the meaning of -> Possible, but Sense 4 covers the general operational aspect.
    *   25. cause to undergo fermentation -> Unlikely.
    *   26. go sour or spoil -> Unlikely.
    *   27. arrive at a certain condition through repeated motion -> Unlikely.

6.  **Compare Best Candidates (3, 4, 15):**
    *   Sense 3: "have an effect or outcome" (How does the definition *act*?)
    *   Sense 4: "perform as expected when applied" (How does the definition *function*?)
    *   Sense 15: "have and exert influence or effect" (How does the definition *influence*?)

    In a technical context describing how a conditional operation (piecewise) behaves, the most precise term is how it *functions* or *operates*. Sense 4, "perform as expected when applied," using synonyms like "function, operate, go, run," is the strongest match for describing the operational behavior of a piece of code or mathematical logic.

7.  **Final Selection:** Sense 4.


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

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 ()."

Target word: "Now"

Let's analyze the usage of "Now" in the context:
"Now you could ask me, why should the user mind about MathML?"
Here, "Now" is used to introduce a hypothetical question or a transition to a new point of discussion, often used rhetorically to address a potential objection or query.

Let's examine the 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 | (Doesn't fit. It's not about historical narration.)
2. sense_key=now%4:02:00:: | definition=in these times; - Nancy Mitford | synonyms=nowadays, today | (Doesn't fit. It's not a general statement about the current era.)
3. sense_key=now%4:02:02:: | definition=used to preface a command or reproof or request | examples=now hear this!; now pay attention | (This sense is about commanding attention or giving instructions. While the context is instructional/explanatory, "Now you could ask me" is a rhetorical setup, not a direct command like "Now pay attention.")
4. sense_key=now%4:02:04:: | definition=at the present moment | synonyms=at present | (Doesn't fit. It's not stating the current time, but introducing a topic.)
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 | (Doesn't fit. It's not about immediacy.)
6. sense_key=now%4:02:07:: | definition=(prefatory or transitional) indicates a change of subject or activity | examples=Now the next problem is... | (This fits very well. "Now you could ask me..." serves as a transition from the previous technical explanation (piecewise, MathML) to addressing a common question.)
7. sense_key=now%4:02:06:: | definition=in the immediate past | examples=told me just now | (Doesn't fit.)

Comparing Sense 3 and Sense 6:
Sense 3: "used to preface a command or reproof or request" (e.g., "Now hear this!")
Sense 6: "(prefatory or transitional) indicates a change of subject or activity" (e.g., "Now the next problem is...")

The phrase "Now you could ask me..." functions as a transition to address a potential question, fitting the definition of Sense 6 much better than the imperative/command focus of Sense 3.

Therefore, Sense 6 is the best fit.


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

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

Target word: ask

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

Analysis of the context:
"Now you could ask me, why should the user mind about MathML?"
The structure "ask me, why should..." indicates that the speaker is inviting the listener to pose a question to them.

Evaluating the senses:
1. sense_key=ask%2:32:00 (inquire about): Plausible, but usually relates to the topic, not the act of posing the question itself.
2. sense_key=ask%2:32:01 (make a request or demand): Not appropriate here; it's about information, not a material request.
3. sense_key=ask%2:32:02 (direct or put; seek an answer to): This sense is defined as "direct or put; seek an answer to" and the example is "ask a question." This perfectly matches the context where the speaker is inviting the listener to ask a question.
4. sense_key=ask%2:32:05 (consider obligatory; request and expect): Not appropriate.
5. sense_key=ask%2:32:04 (address a question to and expect an answer from): This is also highly relevant. The example is "Ask your teacher about trigonometry." The context is "ask me, why should the user mind about MathML?" This fits the meaning of addressing a question to the speaker.
6. sense_key=ask%2:42:00 (require as useful, just, or proper): Not appropriate.
7. sense_key=ask%2:32:09 (require or ask for as a price or condition): Not appropriate.

Comparing Sense 3 and Sense 5:
Sense 3: definition=direct or put; seek an answer to. Example: ask a question.
Sense 5: definition=address a question to and expect an answer from. Example: Ask your teacher about trigonometry.

The context is "ask me, why should the user mind about MathML?". This is an invitation to pose a question to the speaker ("me").
Sense 5 captures the interaction aspect ("address a question to and expect an answer from") very well, as the speaker is positioning themselves as the answer provider.
Sense 3 is more general ("seek an answer to") and focuses on the action of questioning itself.

However, the phrasing "ask me" strongly implies the act of directing the question *to* the speaker, which aligns perfectly with Sense 5's definition: "address a question to and expect an answer from."

Let's re-examine the provided sense keys and definitions carefully.
Sense 3: "direct or put; seek an answer to"
Sense 5: "address a question to and expect an answer from"

Since the context is "ask me," Sense 5 is the most precise fit for the communicative act being performed.

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

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

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

reasoning_content:
1.  **Analyze the target word and context:**
    *   Target lemma: user
    *   Target surface form: user
    *   Context: "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 (()."

2.  **Determine the meaning of 'user' in the context:**
    *   The context discusses MathML, functions (cos, sin, sum, product), and how they relate to the 'user'.
    *   The phrase "why should the user mind about MathML?" implies that the 'user' is someone who interacts with or utilizes the system/tool that employs MathML.
    *   This is a technical/software context.

3.  **Evaluate the candidate senses:**
    *   Sense 1: "a person who makes use of a thing; someone who uses or employs something." (General usage/consumer)
    *   Sense 2: "a person who uses something or someone selfishly or unethically." (Exploiter)
    *   Sense 3: "a person who takes drugs." (Drug user)

4.  **Match the context to the senses:**
    *   The context (MathML, functions, software interaction) clearly points to someone who *uses* a piece of software or a system.
    *   Sense 1 ("a person who makes use of a thing; someone who uses or employs something") perfectly matches the technical definition of a system user.
    *   Sense 2 (Exploiter) is irrelevant.
    *   Sense 3 (Drug user) is irrelevant.

5.  **Select the best sense:** Sense 1.

6.  **Format the output:** The instruction requires returning only a JSON object with the sense index. (Sense 1 corresponds to 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: 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:** The sentence is: "Now you could ask me, why should the user mind about MathML? That s <t>easy</t>."
2.  **Determine the function of 'easy' in the context:** The speaker is dismissing the question ("why should the user mind about MathML?"). The phrase "That's easy" is a common idiomatic expression meaning "That is simple," "That is not difficult," or "It is obvious."
3.  **Examine the candidate senses for relevance:**
    *   1. `easy%3:00:01`: "posing no difficulty; requiring little effort" (e.g., an easy job, an easy problem). This matches the meaning of "simple" or "not difficult."
    *   2. `easy%5:00:00:unhurried`: "not hurried or forced." (e.g., an easy walk). Does not fit.
    *   3. `easy%3:00:02`: "free from worry or anxiety." (e.g., my mind was easy). Does not fit.
    *   4. `easy%5:00:00:pleasing`: "affording pleasure." (e.g., easy good looks). Does not fit.
    *   5. `easy%5:00:00:light`: "having little impact." (e.g., an easy pat). Does not fit.
    *   6. `easy%5:00:00:impressionable`: "readily exploited or tricked." Does not fit.
    *   7. `easy%5:00:00:rich`: "in fortunate circumstances financially." Does not fit.
    *   8. `easy%5:00:00:gradual`: "marked by moderate steepness." Does not fit.
    *   9. `easy%5:00:00:comfortable`: "affording comfort." (e.g., easy on the eyes). While related to ease, sense 1 is a much closer match for the idiomatic use of "That's easy."
    *   10. `easy%5:00:00:unchaste`: Sexual behavior. Does not fit.
    *   11. `easy%5:00:00:available`: "less in demand and therefore readily obtainable." Does not fit.
    *   12. `easy%5:00:00:abundant`: "obtained with little effort or sacrifice." (e.g., easy money). This is close, but sense 1 ("requiring little effort") is the primary definition for the general concept of simplicity/lack of difficulty.

4.  **Select the best fit:** Sense 1, "posing no difficulty; requiring little effort," perfectly captures the meaning of "That's easy" in the context of explaining a simple technical point.

5.  **Format the output:** Create the required 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: 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:
The user wants me to perform Word Sense Disambiguation for the target word "functions" (lemma: function) based on the provided context.

Context: "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."

The target word "functions" is used in the context of mathematical operations: "cos(), sin(), any other trigonometric functions, sum () or product ()".

Let's analyze the 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.
    * *Relevance:* High. Trigonometric functions (cos, sin) are classic examples of mathematical functions.

2. **sense_key=function%1:07:00::** | definition=what something is used for | synonyms=purpose, role, use.
    * *Relevance:* Low. The context is about mathematical entities, not purpose.

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.
    * *Relevance:* Low. This relates to roles/jobs, not math.

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.
    * *Relevance:* High. This is a specific type of mathematical function, and the context deals with mathematical relations (trigonometric functions).

5. **sense_key=function%1:14:00::** | definition=a formal or official social gathering or ceremony.
    * *Relevance:* None.

6. **sense_key=function%1:11:00::** | definition=a vaguely specified social event | synonyms=affair, occasion, social occasion, social function.
    * *Relevance:* None.

7. **sense_key=function%1:10:00::** | definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure.
    * *Relevance:* Possible, as functions can be programming routines, but the explicit mention of "trigonometric functions" and "cos(), sin()" strongly points to the mathematical sense, not the programming sense.

Comparing Sense 1 and Sense 4:
Sense 1 defines a mathematical relation (the general concept).
Sense 4 defines a relation where one thing is dependent on another (a specific property of many mathematical functions).

Since the context lists "cos(), sin(), any other trigonometric functions," which are fundamentally mathematical relations (Sense 1), and also mentions "sum () or product ()" (which are mathematical operations/functions), Sense 1, which is the broader definition of a mathematical function, seems the most encompassing and accurate fit for the examples provided. Sense 4 is also correct, but Sense 1 captures the general category that includes trigonometric functions.

I will choose Sense 1.


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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target surface form "cos()" in the given context.
The target lemma is "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."

The target word is "cos()". It appears in the phrase "functions like <t>cos()</t>, sin(), any other trigonometric functions, sum () or product ()."

This context clearly indicates that "cos()" is being used as a mathematical function, specifically a trigonometric function, alongside "sin()", "sum()", and "product()".

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

Comparing the context (trigonometric functions) with the candidates:
Candidate 1: Definition is "ratio of the adjacent side to the hypotenuse of a right-angled triangle" and synonym is "cosine". This perfectly matches the mathematical context of "cos()".
Candidate 2: Lettuce. Incorrect.
Candidate 3: Gas. Incorrect.
Candidate 4: Element. Incorrect.
Candidate 5: Person. Incorrect.
Candidate 6: State. Incorrect.

The best sense is Candidate 1.


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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target surface form "sin()" within the provided context.

Context: "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."

Target word: sin()

Candidate senses:
1. sin%1:07:00: estrangement from god (religious/moral)
2. sin%1:04:00: an act that is regarded by theologians as a transgression of God's will (religious/moral)
3. sin%1:24:00: ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle (mathematical/trigonometric)
4. sin%1:18:00: (Akkadian) god of the Moon (mythological)
5. sin%1:10:00: the 21st letter of the Hebrew alphabet (linguistic/religious)
6. sin%1:04:01: violent and excited activity (abstract/behavioral)

Analysis:
The context explicitly mentions "functions like cos(), <t>sin()</t>, any other trigonometric functions, sum () or product ()".
This strongly indicates that "sin()" refers to the mathematical sine function.

Candidate 3 matches this meaning: "ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle" (the definition of the sine function).

Therefore, sense 3 is the correct choice.


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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target word "other" based on the provided context.

Context: "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."

Target word: "other"

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%5:00:02:past:00 | definition=belonging to the distant past | synonyms=early, former | examples=the early inhabitants of Europe; former generations
3. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected; - Lance Morrow | synonyms=unusual, different | examples=a strange, other dimension...where his powers seemed to fail
4. sense_key=other%5:00:00:past:00 | definition=recently past | examples=the other evening

Analysis of the context:
The sentence is discussing mathematical functions: "cos(), sin(), any <t>other</t> trigonometric functions, sum () or product (). It does not matter what kind it is."
Here, "other" is used to mean "any remaining" or "any additional" functions that fall into the category of trigonometric functions, besides the ones explicitly listed (cos, sin).

Evaluation of candidates:
1. sense_key=other%3:00:00:: | definition=not the same one or ones already mentioned or implied;
This sense perfectly matches the usage. "Any other trigonometric functions" means any trigonometric functions besides cos and sin.

2. sense_key=other%5:00:02:past:00 | definition=belonging to the distant past
Irrelevant (time).

3. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected;
While "other" can mean different, in this context, it means "additional/remaining" within a defined set (trigonometric functions), not necessarily "unusual" or "different in character."

4. sense_key=other%5:00:00:past:00 | definition=recently past
Irrelevant (time).

Conclusion: Sense 1 is the best fit.


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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target word "sum" based on the provided context and candidate senses.

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."

The target word is "sum" within the tag `<t>sum</t> ()`. The context is highly technical, discussing MathML, functions (cos(), sin()), and mathematical operations like "product()".

Candidate Senses:
1. sum%1:21:00: a quantity of money (financial amount). (Unlikely in a math/programming context unless specifically about monetary values, which is not suggested here).
2. sum%1:09:01: a quantity obtained by the addition of a group of numbers (mathematical addition/total). (Highly likely, as it relates to functions and mathematical operations).
3. sum%1:14:00: the final aggregate (the result of a summation, often used in phrases like "sum of all our troubles"). (Possible, but sense 2 describes the *operation* or *result* of the operation, which fits better with `<t>sum</t> ()` as a function/operator).
4. sum%1:09:00: the choicest or most essential or most vital part (essence/gist). (Completely irrelevant to mathematical notation).
5. sum%1:06:00: the whole amount (total/aggregate). (Similar to sense 3, focusing on the result/totality).
6. sum%1:14:01: a set containing all and only the members of two or more given sets (set theory union). (Irrelevant; the context mentions addition/product, not set union).

Analysis:
The phrase `<t>sum</t> ()` strongly suggests that "sum" is being used as a mathematical function or operator, similar to `cos()` or `product()`.
Sense 2: "a quantity obtained by the addition of a group of numbers." This perfectly describes the mathematical function $\sum$ (summation).
Sense 3 and 5 refer to the *result* (the final aggregate/total), whereas the notation `<t>sum</t> ()` represents the *operation* itself.

Therefore, Sense 2 is the best fit.

Final check:
Context: MathML, functions, product().
Target: `<t>sum</t> ()`.
Sense 2: a quantity obtained by the addition of a group of numbers. (Matches the mathematical function $\sum$).


[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:
The user wants me to perform Word Sense Disambiguation for the target word "product" based on the provided context.

Context: "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."

Target word: product (specifically within `<t>product</t> ()`)

Candidate senses:
1. sense_key=product%1:06:01:: | definition=commodities offered for sale | synonyms=merchandise, ware
2. sense_key=product%1:06:00:: | definition=an artifact that has been created by someone or some process | synonyms=production
3. sense_key=product%1:09:00:: | definition=a quantity obtained by multiplication | synonyms=mathematical product
4. sense_key=product%1:27:00:: | definition=a chemical substance formed as a result of a chemical reaction
5. sense_key=product%1:19:00:: | definition=a consequence of someone's efforts or of a particular set of circumstances
6. sense_key=product%1:14:00:: | definition=the set of elements common to two or more sets | synonyms=intersection, Cartesian product

Analysis:
The context is discussing mathematical functions and structures within MathML, specifically mentioning `cos()`, `sin()`, `sum()`, and `<t>product</t> ()`.
The structure `product() ` strongly suggests a mathematical operation.

Let's evaluate the senses:
1. Commodities for sale (Incorrect context).
2. Artifact created by process (Incorrect context).
3. A quantity obtained by multiplication (Matches the mathematical context of `product()` function).
4. Chemical substance (Incorrect context).
5. Consequence/result (Too general, but sense 3 is more specific to the mathematical notation).
6. Set intersection (Incorrect context, though related to set theory, the notation suggests multiplication/accumulation).

Sense 3, "a quantity obtained by multiplication," is the precise mathematical meaning of the function `product()` (often used for the product of a sequence of numbers).

Conclusion: Sense 3 is the best fit.


[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}.

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

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

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."

Target word: "use"

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

Analysis of the context:
The context is highly technical, discussing mathematical operations and functions (cos(), sin(), sum(), product(), plus(), times()).
The sentence containing the target word is: "We can use plus(), times() and everything which has its operator."
Here, "use" refers to applying or employing these mathematical functions/operators within the system (kalgebra's console).

Evaluating the senses:
1. **sense_key=use%2:34:01:: (put into service; make work or employ for a particular purpose)**: This fits perfectly. The functions (plus(), times()) are being employed or put into service to perform calculations.
2. **sense_key=use%2:34:02:: (take or consume regularly or habitually)**: Incorrect. Not about consumption.
3. **sense_key=use%2:34:00:: (use up, consume fully)**: Incorrect. Not about depletion.
4. **sense_key=use%2:41:14:: (seek or achieve an end by using to one's advantage)**: Incorrect. This implies strategic advantage, not mathematical operation.
5. **sense_key=use%2:41:04:: (avail oneself to)**: Plausible, as it relates to applying something, but sense 1 is a more direct fit for "employing an operator."
6. **sense_key=use%2:41:03:: (habitually do something - past tense)**: Incorrect. The context is present ability ("We can use...").

Conclusion: Sense 1, meaning "put into service; make work or employ for a particular purpose," is the best fit, as the functions are being employed/utilized by the system/user.

The required output format is a JSON object with the sense index.
Sense 1 corresponds to 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: plus
Target surface form: plus()
Context:
It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is. We can use <t>plus()</t>, times() and everything which has its operator. kalgebra's console is useful as a calculator.

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

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

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

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

reasoning_content:
Thinking Process:

1.  **Analyze the Target Word and Context:**
    *   Target Lemma: `plus`
    *   Target Surface Form: `plus()`
    *   Context: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is. We can use `<t>plus()</t>`, times() and everything which has its operator. kalgebra's console is useful as a calculator."

2.  **Analyze the Candidates:**
    *   Candidate 1 (`plus%1:07:00`): Definition = a useful or valuable quality; Synonyms = asset. (Relates to value/quality, not mathematical operation).
    *   Candidate 2 (`plus%1:04:00`): Definition = the arithmetic operation of summing; calculating the sum of two or more numbers; Synonyms = summation, addition. (Relates directly to mathematical addition/summing).

3.  **Determine the Best Fit:**
    *   The context explicitly mentions "functions like cos(), sin(), ... sum () or product ()" and refers to the system as a "calculator."
    *   The usage `<t>plus()</t>` is presented alongside other mathematical operators (`times()`, `sum()`, `product()`).
    *   Candidate 2 perfectly matches the mathematical/arithmetic context of addition/summing.
    *   Candidate 1 is completely irrelevant to the technical/mathematical discussion.

4.  **Select the Sense:** Candidate 2 is the best fit.

5.  **Format the Output:** The instruction requires a JSON object with the sense index. Since the candidates are numbered 1 and 2, the index is 2. (Wait, the prompt structure implies the final output should be a JSON object like `{"sense_index": 3}`. I must ensure I use the correct index based on the provided list.)

    *   Candidate 1 -> Index 1
    *   Candidate 2 -> Index 2

    *Self-Correction/Review:* The provided example output format is `{"sense_index": 3}`. I must use the index corresponding to the chosen sense (Candidate 2).

6.  **Final Output Generation.**


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

Candidate senses:
1. sense_key=times%1:28:01:: | definition=a more or less definite period of time now or previously present | examples=it was a sign of the times
2. sense_key=times%1:04:00:: | definition=an arithmetic operation that is the inverse of division; the product of two numbers is computed | synonyms=multiplication | examples=the multiplication of four by three gives twelve; four times three equals twelve
3. sense_key=time%1:11:00:: | definition=an instance or single occasion for some event | synonyms=time, clip | examples=this time he succeeded; he called four times
4. sense_key=time%1:28:05:: | definition=a period of time considered as a resource under your control and sufficient to accomplish something | synonyms=time | examples=take time to smell the roses; I didn't have time to finish
5. sense_key=time%1:28:00:: | definition=an indefinite period (usually marked by specific attributes or activities) | synonyms=time | examples=he waited a long time; the time of year for planting
6. sense_key=time%1:28:06:: | definition=a suitable moment | synonyms=time | examples=it is time to go
7. sense_key=time%1:03:00:: | definition=the continuum of experience in which events pass from the future through the present to the past | synonyms=time
8. sense_key=time%1:11:01:: | definition=a person's experience on a particular occasion | synonyms=time | examples=he had a time holding back the tears; they had a good time together
9. sense_key=clock_time%1:28:00:: | definition=a reading of a point in time as given by a clock | synonyms=clock time, time | examples=do you know what time it is?; the time is 10 o'clock
10. sense_key=fourth_dimension%1:28:00:: | definition=the fourth coordinate that is required (along with three spatial dimensions) to specify a physical event | synonyms=fourth dimension, time
11. sense_key=meter%1:07:00:: | definition=rhythm as given by division into parts of equal duration | synonyms=meter, metre, time
12. sense_key=prison_term%1:28:00:: | definition=the period of time a prisoner is imprisoned | synonyms=prison term, sentence, time | examples=he served a prison term of 15 months; his sentence was 5 to 10 years

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target surface form "times()" in the given context.
The target lemma is "times".

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

The target is `<t>times()</t>`. This appears in a technical context discussing mathematical operations (MathML, functions like cos(), sin(), sum(), product(), plus()).

Candidate senses analysis:

1. `times%1:28:01`: "a more or less definite period of time now or previously present" (Time period). Context is math operations, not time periods.
2. `times%1:04:00`: "an arithmetic operation that is the inverse of division; the product of two numbers is computed" (Multiplication). Synonyms: multiplication. This fits perfectly with the context of mathematical functions (cos(), sin(), sum(), product(), plus()).
3. `time%1:11:00`: "an instance or single occasion for some event" (Occasion/Instance). Not relevant to mathematical operators.
4. `time%1:28:05`: "a period of time considered as a resource under your control..." (Time resource). Not relevant.
5. `time%1:28:00`: "an indefinite period..." (Indefinite time). Not relevant.
6. `time%1:28:06`: "a suitable moment" (Moment). Not relevant.
7. `time%1:03:00`: "the continuum of experience..." (Continuum of time). Not relevant.
8. `time%1:11:01`: "a person's experience on a particular occasion" (Experience). Not relevant.
9. `clock_time%1:28:00`: "a reading of a point in time as given by a clock" (Clock time). Not relevant.
10. `fourth_dimension%1:28:00`: (Physics concept). Not relevant.
11. `meter%1:07:00`: "rhythm as given by division into parts of equal duration" (Rhythm/Meter). While related to measurement, the context explicitly mentions `times()` alongside `plus()` and `product()`, strongly suggesting multiplication.
12. `prison_term%1:28:00`: (Sentence length). Not relevant.

The context clearly indicates that `times()` is a mathematical operator, specifically used alongside `plus()` and `product()`. This corresponds directly to sense 2: multiplication.

Sense 2: `times%1:04:00:: | definition=an arithmetic operation that is the inverse of division; the product of two numbers is computed | synonyms=multiplication | examples=the multiplication of four by three gives twelve; four times three equals twelve`

I will select sense 2.