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

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

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

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

raw_output:
The context describes a parsing scenario where a function name (`abc(params)`) is examined to determine whether it should be treated as an operator or a user function. This implies a classification or categorization decision based on the parser's rules, aligning with the idea of subjecting something to a process or treatment to prepare it for a specific purpose (in this case, to decide its role as an operator versus a user-defined function).

Given this, the most appropriate sense is:

**sense_key=treat%2:30:01::**
**definition=subject to a process or treatment, with the aim of readying for some purpose, improving, or remedying a condition**
**synonyms=process**
**examples=process cheese; process hair**

Thus, the best indexed sense is:

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

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

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

raw_output:
The context describes a parser checking whether "abc" is an "operator" in a mathematical or programming sense, treating it as an operator if it is, otherwise as a user-defined function. This aligns with the definition of an operator as a symbol or function representing a mathematical operation. Therefore, the best indexed sense is:

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

finish_reason: stop

role: assistant

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

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

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

raw_output:
To determine the best sense for "treated" in the given context, we analyze the sentence:

"When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be <t>treated</t> as a user function."

The phrase "it will be treated as a user function" suggests that the parser is assigning a specific role or classification to "abc" based on its nature (operator vs. user function). This aligns with the idea of subjecting something to a process or treatment to prepare it for a particular purpose or to modify its behavior.

Let's examine the candidate senses:

1. **Sense 1**: "interact in a certain way" (handle, do by) - This implies a general interaction or handling, which doesn't specifically address the classification or preparation aspect.
2. **Sense 2**: "subject to a process or treatment, with the aim of readying for some purpose, improving, or remedying a condition" (process) - This directly matches the context where "abc" is being classified or prepared as either an operator or a user function.
3. **Sense 3**: "provide with a treatment" (care for) - This suggests medical or therapeutic treatment, which is not relevant here.
4. **Sense 4**: "act on verbally or in some form of artistic expression" (cover, handle, plow, deal, address) - This relates to addressing or dealing with a topic, not specifically about classification or preparation.
5. **Sense 5**: "provide with a gift or entertainment" - Irrelevant to the context of classification.
6. **Sense 6**: "provide with choice or abundant food or drink" - Irrelevant.
7. **Sense 7**: "engage in negotiations in order to reach an agreement" - Irrelevant.
8. **Sense 8**: "regard or consider in a specific way" - While it involves considering something in a specific way, it doesn't capture the idea of subjecting to a process for classification.

The context clearly involves subjecting "abc" to a process to determine its role (operator vs. user function), which best fits **Sense 2**.

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
The context describes a scenario where a parser checks if "abc" is an operator or a user function. This indicates that "user" here refers to a function defined by the user, not a person using something selfishly or a drug user. Therefore, the most appropriate sense is:

**Sense 1: a person who makes use of a thing; someone who uses or employs something.**

Thus, the best indexed sense is sense 1.

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


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

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

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

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

raw_output:
The context discusses "a function" in the context of programming and parsing, specifically mentioning "when the parser finds a function" and "it will be treated as a user <t>function</t>". This usage aligns with the programming sense of a function as a set sequence of steps or a subroutine within a larger program. Therefore, the best indexed sense is:

```json
{"sense_index": 7}
```


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

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

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

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

raw_output:
To determine the best sense for "used" in the given context, let's analyze the sentence:

"It is <t>used</t> to define a variable value."

The context is technical, discussing programming or mathematical functions, where "used" refers to the purpose or function of something—in this case, specifying how a variable is defined.

Now, let's evaluate the candidate senses:

1. **Sense 1**: "put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
   - Synonyms: utilize, utilise, apply, employ
   - Example: "use your head!"
   - This sense aligns well with the context, as "used" describes the purpose of defining a variable value.

2. **Sense 2**: "take or consume (regularly or habitually)"
   - Synonyms: habituate
   - Example: "She uses drugs rarely"
   - This sense is about consumption or habitual action, which does not fit the technical context.

3. **Sense 3**: "use up, consume fully"
   - Synonyms: expend
   - Example: "The legislature expended its time on school questions"
   - This sense implies depletion or consumption, which is not applicable here.

4. **Sense 4**: "seek or achieve an end by using to one's advantage"
   - Synonyms: practice, apply
   - Example: "She uses her influential friends to get jobs"
   - This sense involves strategic use for advantage, which is not the focus of the sentence.

5. **Sense 5**: "avail oneself to"
   - Synonyms: practice, apply
   - Example: "apply a principle"
   - While related to applying, it is more about personal action rather than defining a variable.

6. **Sense 6**: "habitually do something (use only in the past tense)"
   - Example: "She used to call her mother every week"
   - This sense is about past habitual actions, which does not match the present, technical description.

The best match is **Sense 1**, which describes using something for a specific purpose, fitting the context of defining a variable value.

Therefore, the correct sense index is 1.

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


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

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

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

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

raw_output:
The context provided discusses the use of the word "define" in programming and mathematical contexts, specifically in relation to specifying variable values and function parameters. This aligns closely with the sense of "determine the essential quality of" or "decide upon or fix definitely," which involves specifying or setting something precisely. Among the candidate senses, sense_key=define%2:42:00:: (definition=determine the essential quality of | synonyms=specify, delineate, delimit, delimitate) best captures this usage, as it emphasizes specifying or determining the nature or value of a variable or function.

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
To determine the best sense for "value" in the given context, let's analyze the surrounding text:

- The context discusses parsing functions, operators, and defining variables.
- Specifically, it mentions: "<t>value</t>" in the phrase "It is used to define a variable <t>value</t>."

This indicates that "value" is being used in the sense of assigning or defining a quantity or attribute to a variable within a programming or mathematical context.

Now, let's match this usage to the candidate senses:

1. **sense_key=value%1:09:00::** - Definition: a numerical quantity measured or assigned or computed. Example: "the value assigned was 16 milliseconds." This aligns well with defining a variable's value in programming or mathematical contexts.

2. **sense_key=value%1:07:00::** - Definition: the quality that renders something desirable or valuable. This is more about subjective worth, which doesn't fit the technical context.

3. **sense_key=value%1:21:00::** - Definition: the amount considered a fair equivalent. This relates to trade or exchange, not variable definition.

4. **sense_key=value%1:07:01::** - Definition: relative darkness or lightness of a color. This is unrelated to programming variables.

5. **sense_key=value%1:28:00::** - Definition: relative duration of a musical note. This is specific to music, not applicable here.

6. **sense_key=value%1:09:01::** - Definition: an ideal accepted by some individual or group. This pertains to values in a philosophical sense, not variable assignment.

The context clearly points to the technical assignment of a numerical quantity to a variable, which matches **sense_key=value%1:09:00::** best.

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
To determine the best sense for "way" in the given context, we analyze the sentence:

> "Piecewise is the **way** we can define conditional operations in kalgebra."

The phrase "the **way** we can define" suggests a method or manner by which something is done. This aligns with the definition of "way" as "how something is done or how it happens," which is captured by the synonyms manner, mode, style, and fashion. The examples provided for this sense—such as "her dignified manner"—further support this interpretation.

Comparing this with the other senses:
- Senses related to physical paths (1, 6, 7, 9) do not fit the abstract, methodological context.
- Senses about means or conditions (2, 4, 10) are less precise for describing a method of definition.
- Senses about general categories or portions (11, 12) are unrelated.
- Sense 5 (a course of conduct) is close but more about a life path rather than a method of definition.

Thus, the most appropriate sense is:

**Sense 1: how something is done or how it happens**

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
To determine the best sense for the word "define" in the given context, we analyze the surrounding text:

> "Piecewise is the way we can **define** conditional operations in kalgebra."

The phrase "define conditional operations" suggests that "define" is being used to describe the process of specifying or establishing the nature or form of conditional operations within a system (kalgebra). This aligns closely with the definition:

**sense_key=define%2:42:01::**
**definition:** determine the nature of
**examples:** What defines a good wine?

This sense captures the idea of establishing the essential characteristics or nature of something—in this case, conditional operations. The other senses either focus on giving dictionary definitions (sense 2), showing form or outline (sense 4), or deciding upon or fixing something definitively (sense 5), which do not fit as precisely as sense 3 does for the context provided.

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
The context describes "conditional" as being used to define piecewise operations with conditions that determine whether the operation is applied. This aligns with the definition of "conditional" as "imposing or depending on or containing a condition." Therefore, the best indexed sense is the one that matches this definition.

The appropriate sense is:

**Definition:** imposing or depending on or containing a condition
**Examples:** conditional acceptance of the terms; lent conditional support

This matches the context where conditions determine the application of operations.

Thus, the best indexed sense corresponds to the second candidate sense.

**Answer:**
```json
{"sense_index": 2}
```


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

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

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

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

raw_output:
To determine the best sense for "operations" in the given context, we analyze the surrounding text:

- The context mentions "Piecewise is the way we can define conditional **operations** in kalgebra."
- It further explains that these operations are used for defining conditional behavior within a computational or mathematical system (kalgebra).

Given this, the most relevant sense is one that relates to a planned activity or process involving conditional definitions within a computational or mathematical framework.

Among the candidate senses:

1. **operation%1:26:00::** refers to something being in effect or operative, which doesn't fit the context of defining conditional behavior.
2. **operation%1:04:06::** and **operation%1:04:03::** relate to business or military activities, which are unrelated.
3. **operation%1:04:02::** pertains to military operations, also unrelated.
4. **operation%1:04:00::** concerns medical procedures, which is irrelevant.
5. **operation%1:04:05::** describes a process or series of acts involved in a particular form of work, which could apply but is broader.
6. **operation%1:22:00::** and **operation%1:22:01::** relate to data processing or manner of functioning, which is close but not specific to conditional definitions.
7. **operation%1:09:00::** involves psychological processes, which is unrelated.
8. **operation%1:04:01::** concerns mathematical calculations, which is somewhat relevant but focuses on calculation rather than conditional definition.
9. **operation%1:04:02::** (again) is about military operations, which is irrelevant.
10. **operation%1:04:07::** refers to the operation of a machine or business, which is broader and less specific.

The context specifically mentions "conditional operations" within a computational system, aligning best with **operation%1:04:05::**, which defines a process or series of acts involved in a particular form of work. This sense captures the idea of defining operations (processes) for conditional behavior in a computational context.

Therefore, the best indexed sense is:

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

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

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

raw_output:
To determine the best sense for "introduce" in the given context, we analyze the sentence:

> "If we **introduce** the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance."

The context involves placing a condition before a certain point in a parser or similar system, suggesting the act of adding or presenting a condition in a specific location. This aligns with the idea of inserting something into a particular context or environment.

Let's review the candidate senses:

1. **Cause to come to know personally** – focuses on acquainting people, not relevant here.
2. **Bring something new to an environment** – implies introducing something novel, but the context is about placing a condition, not necessarily something new.
3. **Introduce** – synonyms include *insert, enclose, inclose, stick in, put in*; examples involve physically placing items (e.g., "Insert your ticket here"). This matches the idea of placing a condition before a point.
4. **Bring in a new person or object into a familiar environment** – too specific to people/objects, not fitting.
5. **Bring in or establish in a new place or environment** – similar to 2, but emphasizes a new place, which isn't the focus.
6. **Bring in or establish in a new place or environment** – similar to 5, still not precise for the context.
7. **Bring before the public for the first time** – irrelevant to the technical context.
8. **Put before a body** – too formal/legalistic, not applicable.
9. **Furnish with a preface or introduction** – about adding introductory text, not about placing conditions.
10. **Be a precursor of** – about ushering in a new era, not relevant.

The most fitting sense is **sense_key=introduce%2:30:03::**, which defines "introduce" as *insert, enclose, inclose, stick in, put in*, with examples like "Insert your ticket here." This aligns perfectly with the context of placing a condition before a point.

Thus, the best indexed sense is:

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


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

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

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

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

raw_output:
To determine the best sense for "use" in the given context, let's analyze the sentence:

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

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

Here, "use" refers to employing or applying a condition in a specific context (conditional operations). This aligns with the idea of putting something into service for a particular purpose.

Now, let's match this to the candidate senses:

1. **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
   This sense matches the context where "use" is about employing a condition for a specific purpose.

2. **Definition**: "take or consume (regularly or habitually)"
   **Synonyms**: habituate
   **Examples**: She uses drugs rarely
   This sense is about habitual consumption, which does not fit the context.

3. **Definition**: "use up, consume fully"
   **Synonyms**: expend
   **Examples**: The legislature expended its time on school questions
   This sense implies depleting or consuming something fully, which is not the case here.

4. **Definition**: "seek or achieve an end by using to one's advantage"
   **Examples**: She uses her influential friends to get jobs
   This sense involves strategic use for personal advantage, which is not the focus of the context.

5. **Definition**: "avail oneself to"
   **Synonyms**: practice, apply
   **Examples**: apply a principle; practice a religion
   While related to applying, this sense is more about habitual practice or adherence, not specifically about employing a condition.

6. **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
   This sense is about past habitual actions, which does not apply here.

The best match is **sense 1**, which describes employing something for a specific purpose, fitting the context of using a condition in a conditional operation.

Therefore, the correct sense index is 3 (as per the instruction to return the sense index).

**Answer**: {"sense_index": 3}


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

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

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

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

raw_output:
To determine the best sense for "true" in the given context, we analyze the surrounding text:

> "if it finds a? without any condition, it will enter in the last instance."

The phrase "it will enter in the last instance" suggests that the condition being evaluated is a boolean check—specifically, whether the condition is true or false. In this context, "true" is being used to denote a factual or factual correctness of a condition, i.e., whether the condition holds as a fact.

Now, let's examine the candidate senses:

1. **consistent with fact or reality; not false** - This aligns directly with the idea of a condition being factually correct or true in a logical sense.
2. **accurately placed or thrown** - This sense relates to precision in physical actions, which does not fit the logical context.
3. **devoted to a cause or concept or truth** - This sense implies a belief or dedication, which is not relevant here.
4. **expressing or given to expressing the truth** - While related to truth, this sense emphasizes expression rather than the factual correctness of a condition.
5. **conforming to definitive criteria** - This sense suggests meeting standards, which is not the primary focus.
6. **worthy of being depended on** - This sense pertains to reliability, not directly to the logical evaluation of a condition.
7. **not pretended; sincerely felt or expressed** - This sense is about sincerity, not applicable here.
8. **rightly so called** - This sense implies appropriateness, which is not the main point.
9. **rightly so called** (duplicate) - Same as above.
10. **having a legally established claim** - This sense is about legality, irrelevant to the logical context.
11. **in tune; accurate in pitch** - This sense is about musical accuracy, unrelated.
12. **accurately fitted; level** - This sense is about physical alignment, not applicable.

The context clearly requires a sense that denotes the factual correctness of a condition, which is best captured by **sense 1**: "consistent with fact or reality; not false." This sense directly addresses the logical evaluation of whether a condition is true in the given programming or logical context.

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
To determine the best sense for "finds" in the given context:

**Context:**
"When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function. 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."

**Analysis of the context:**
- The parser is **searching** for a function.
- Upon **finding** a function, it proceeds to check its nature (operator vs. user function).
- The phrase "if it finds a?" suggests that the parser **detects** or **locates** something (a condition or function) during its operation.

**Evaluation of candidate senses:**
1. **sense_key=find%2:40:02::** – "come upon, as if by accident; meet with."
   *Too vague; does not emphasize detection or discovery.*
2. **sense_key=find%2:39:02::** – "discover or determine the existence, presence, or fact of."
   *Matches the idea of the parser **detecting** the existence of a function or condition.*
3. **sense_key=find%2:40:00::** – "come upon after searching; find the location of something that was missed or lost."
   *Focuses on locating something missed, which is less precise for the parser's role of detecting a function.*
4. **sense_key=find%2:32:00::** – "establish after a calculation, investigation, experiment, survey, or study."
   *Irrelevant to the immediate detection context.*
5. **sense_key=find%2:31:10::** – "come to believe on the basis of emotion, intuitions, or indefinite grounds."
   *Not applicable to a parser's logical operation.*
6. **sense_key=find%2:39:01::** – "perceive or be contemporaneous with."
   *Too general; does not capture the active detection aspect.*
7. **sense_key=find%2:40:01::** – "get something or somebody for a specific purpose."
   *Not relevant to the parser's function.*
8. **sense_key=find%2:36:00::** – "make a discovery, make a new finding."
   *Implies a novel discovery, which is not the case here.*
9. **sense_key=find%2:31:09::** – "make a discovery."
   *Similar to 8, but still emphasizes novelty rather than detection.*
10. **sense_key=find%2:40:03::** – "obtain through effort or management."
    *Irrelevant to the detection context.*
11. **sense_key=find%2:32:01::** – "decide on and make a declaration about."
    *Not about detection.*
12. **sense_key=find%2:30:00::** – "receive a specified treatment."
    *Unrelated.*
13. **sense_key=find%2:39:05::** – "perceive oneself to be in a certain condition or place."
    *Not applicable.*
14. **sense_key=find%2:40:15::** – "get or find back; recover the use of."
    *Irrelevant.*
15. **sense_key=find%2:38:10::** – "succeed in reaching; arrive at."
    *Too abstract for the parser's role.*
16. **sense_key=find%2:30:13::** – "accept and make use of one's personality, abilities, and situation."
    *Not relevant.*

**Conclusion:**
The context clearly involves the parser **detecting** the presence of a function or condition. The sense that best captures this is **sense_key=find%2:39:02::**, which defines "find" as "discover or determine the existence, presence, or fact of," aligning perfectly with the parser's operation.

**Final choice:**
```json
{"sense_index": 2}
```


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

[User]
Target lemma: 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:
To determine the best sense for "instance" in the given context, let's analyze the surrounding text and the candidate senses:

**Context Analysis:**
- The sentence mentions: "if it finds a? without any condition, it will enter in the last <t>instance</t>."
- The context involves parsing and conditional operations, where "instance" seems to refer to a specific occurrence or case within this process.

**Candidate Senses:**
1. **Sense 1:** Definition - an occurrence of something; Synonyms: case, example; Example: "it was a case of bad judgment."
2. **Sense 2:** Definition - an item of information that is typical of a class or group; Synonyms: example, illustration, representative; Example: "this patient provides a typical example of the syndrome."

**Decision Process:**
- The phrase "enter in the last <t>instance</t>" suggests that "instance" is referring to a particular occurrence or case within the conditional logic.
- Sense 1 aligns well with this interpretation, as it directly refers to an occurrence or case.
- Sense 2, while related to examples, emphasizes typicality and representation, which is less fitting for the context of a specific occurrence in a parsing scenario.

**Conclusion:**
The best indexed sense for "instance" in this context is **Sense 1**.

**JSON Response:**
```json
{"sense_index": 1}
```


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

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

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

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

raw_output:
To determine the best sense for "used" in the given context, let's analyze the sentence:

> "It can be <t>used</t> to define a container."

The context involves defining a container in a mathematical or computational sense, specifically within MathML. The word "used" here implies that the container is being employed or applied for a particular purpose—defining a container.

Now, let's examine the candidate senses:

1. **use (34:01)**: "put into service; make work or employ for a particular purpose or for its inherent or natural purpose."
   - Synonyms: utilize, utilise, apply, employ.
   - Example: "use your head!"
   - This sense aligns well with the idea of employing something (the container) for a specific purpose (definition).

2. **use (34:02)**: "take or consume (regularly or habitually)."
   - Synonyms: habituate.
   - Example: "She uses drugs rarely."
   - This sense is about habitual consumption, which does not fit the context of defining a container.

3. **use (34:00)**: "use up, consume fully."
   - Synonyms: expend.
   - Example: "The legislature expended its time on school questions."
   - This sense involves depleting or consuming something entirely, which is not applicable here.

4. **use (41:14)**: "seek or achieve an end by using to one's advantage."
   - Example: "She uses her influential friends to get jobs."
   - This sense implies strategic use for personal gain, which does not match the context of defining a container.

5. **use (41:04)**: "avail oneself to."
   - Synonyms: practice, apply.
   - Example: "apply a principle."
   - While this sense involves applying something, it is more about personal application rather than employing a tool or element for a defined purpose.

6. **use (41:03)**: "habitually do something (use only in the past tense)."
   - Example: "She used to call her mother every week."
   - This sense is about past habitual actions, which is irrelevant to the present context of defining a container.

Given the analysis, **sense 1 (use 34:01)** is the most appropriate because it directly describes employing or applying something (the container) for a specific purpose (definition), which matches the context perfectly.

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
To determine the best sense for the word "define" in the given context, we analyze the surrounding text:

- The context mentions: "It is used to define a variable value." and "It can be used to <t>define</t> a container."
- The word "define" here is clearly referring to establishing or specifying the nature or characteristics of something (a variable or a container).
- The examples provided in the candidate senses include phrases like "determine the essential quality of" and "determine the nature of," which align well with the idea of specifying a variable or a container.
- The synonyms for the relevant senses include "specify" and "delineate," which further support the notion of setting or outlining the nature of something.

Given this analysis, the sense that best captures the meaning of "define" in this context is:

**sense_key=define%2:42:01:: | definition=determine the nature of | examples=What defines a good wine?**

This sense aligns with the idea of establishing the nature or characteristics of a variable or container.

Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
To determine the best sense for "useful" in the given context, let's analyze the sentence:

"Now you could ask me, why should the user mind about MathML? {} MathML container. It can be used to define a container. Mainly <t>useful</t> for working with piecewise."

The phrase "Mainly <t>useful</t> for working with piecewise" suggests that the MathML container is being highlighted for its practical benefit or service in the context of piecewise operations. The word "useful" here is emphasizing the practical utility or service of MathML in this specific scenario.

Now, let's compare the candidate senses:

1. **Sense 1**: "being of use or service" - This sense aligns with the idea that MathML is beneficial or helpful for working with piecewise operations. The synonym "utile" and the example "the girl felt motherly and useful" support this interpretation, as it emphasizes practical usefulness.

2. **Sense 2**: "having a useful function" - This sense focuses more on the functional aspect or the specific function that makes something useful. The synonym "utilitarian" and the example "utilitarian steel tables" suggest a more general functional utility, which is less specific to the context of MathML and piecewise operations.

Given the context, the first sense ("being of use or service") better captures the intended meaning of "useful" as it directly relates to the practical benefit of MathML in the specified context.

Therefore, the best indexed sense is **Sense 1**.

The JSON response should be:

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


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

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

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

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

raw_output:
To determine the best sense for "working" in the context "Now you could ask me, why should the user mind about MathML? <t>working</t> with piecewise," we analyze the surrounding text and the candidate senses:

- The phrase "<t>working</t> with piecewise" suggests an activity involving the use of MathML to handle piecewise conditions.
- The context implies a technical or practical application of MathML, likely referring to the process of using or manipulating MathML to work with piecewise definitions.

Among the candidate senses, the one that best fits this context is:

**Sense 9: definition=proceed towards a goal or along a path or through an activity; synonyms=work out; examples=She works her way through every problem or task; He works his way through the crowd.**

This sense captures the idea of engaging in an activity (using MathML) to handle or solve piecewise conditions, aligning with the context provided.

Therefore, the best indexed sense is sense_index 9.

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


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

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

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

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

raw_output:
The word "Now" in the given context is used to transition to a new point in the explanation, indicating a change of subject or activity. This aligns with the sense described as "(prefatory or transitional) indicates a change of subject or activity." Therefore, the best indexed sense is:

```json
{"sense_index": 7}
```


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

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

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

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

raw_output:
The sentence "Now you could <t>ask</t> me, why should the user mind about MathML?" uses "ask" to mean directing a question to someone and expecting an answer. This aligns with the sense of "address a question to and expect an answer from." Therefore, the best indexed sense is:

```json
{"sense_index": 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: 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}.

raw_output:
The context describes a user of a mathematical software tool (kalgebra) and mentions MathML for defining functions like cos(), sin(), etc. The term "user" here refers to someone who employs or makes use of a software or mathematical tool, not someone exploiting it selfishly or a drug user. Therefore, the most appropriate sense is:

**Sense 1: a person who makes use of a thing; someone who uses or employs something.**

Thus, the best indexed sense is:

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


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

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

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

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

raw_output:
The sentence "That's <t>easy</t>." in the context of explaining why a user shouldn't worry about MathML suggests that the concept being conveyed is straightforward and requires little effort or concern. This aligns with the definition "posing no difficulty; requiring little effort," which is captured by the first sense:

- **Sense 1**: definition=posing no difficulty; requiring little effort | examples=an easy job; an easy problem

Therefore, the best indexed sense for "easy" in this context is:

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


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

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

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

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

raw_output:
The context discusses mathematical functions such as cos(), sin(), sum(), and product(), which are clearly referring to the mathematical concept of a function as a relation associating elements from one set (the domain) to another set (the range). This aligns with the definition and synonyms provided for sense_key=function%1:24:00::, which describes a mathematical relation where each element of a given set is associated with an element of another set. Therefore, the best indexed sense is:

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


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

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

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

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

raw_output:
The context clearly refers to a mathematical function, specifically a trigonometric function, as indicated by the mention of `<t>cos()</t>`, `sin()`, and other trigonometric functions like `sum()` and `product()`. This usage aligns with the definition of "cos" as the ratio of the adjacent side to the hypotenuse of a right-angled triangle, i.e., the cosine function in mathematics.

Therefore, the best sense is:

**sense_key=cos%1:24:00:: | definition=ratio of the adjacent side to the hypotenuse of a right-angled triangle | synonyms=cosine**

The appropriate JSON response is:

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