[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}.

reasoning_content:
We are given: "Target lemma: function", "Target surface form: function", and context. The context has: "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."

The target word is "function" inside the tags: "treated as a user <t>function</t>". The context mentions "parser", "operator", "bounded variable in a function", "abc(params)". This is clearly about programming or parsing expressions. Sense 7 is "a set sequence of steps, part of larger computer program" with synonyms routine, subroutine, subprogram, procedure. That fits the programming context. The other senses: mathematical function (sense 1) is possible since it says "specify the bounded variable in a function", but then it talks about parser finding a function, treating as operator or user function. "function" here refers to a user-defined function in programming, not a mathematical function. Sense 7 is most appropriate.

Thus, answer: {"sense_index": 7}


attempt_kind: initial

status: success

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

[User]
Target lemma: use
Target surface form: 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}.

finish_reason: stop

role: assistant

reasoning_content:
We are given: "Target lemma: use", "Target surface form: used", context: "It is <t>used</t> to define a variable value." The sentence is "It is used to define a variable value." This is a definition of the symbol "=" in some context about powers, roots, etc. The word "used" is in passive voice: "It is used to define a variable value." Meaning: the symbol "=" serves the purpose of defining a variable value. We need to find the appropriate sense of "use" (verb) in WordNet. The 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

Sense 6 is specifically for "used to" as a habitual past, but in our sentence, it's "It is used to define a variable value" - that's not habitual past; it's a passive construction with "use" as the main verb. So sense 6 is not correct.

Sense 1: put into service; make work or employ for a particular purpose. The example "use your head!" is figurative. The context: "It is used to define a variable value" means it is employed for the purpose of defining. This matches sense 1 very closely. The synonyms are utilize, apply, employ. "Apply" is also in sense 5 ("apply a principle"). But sense 5 is "avail oneself to" with examples "apply a principle; practice a religion". So both senses 1 and 5 could be near? But let's see the definitions: Sense 5: "avail oneself to" (apply, practice) e.g., "apply a principle". Sense 1: "put into service; make work or employ for a particular purpose" e.g., "use your head!" but also "we only use Spanish at home" - that is not exactly the same. In the context, "It is used to define a variable value" - the "it" is a symbol like "=" that is put into service for a specific function. This is a typical instrumental use: you use a tool for a purpose. That is exactly sense 1. Sense 5 "apply a principle" might be more abstract: you apply a principle (a rule) to something. But here, it's a symbol being used to define a variable value. That is more like employing something as a tool. I'd say sense 1 is the best fit.

Sense 2: habitually consume (like drugs) - not relevant.
Sense 3: use up, consume fully - not relevant.
Sense 4: seek or achieve an end by using to one's advantage - this is more about exploiting, like using connections. Not for defining a variable.
Sense 6: habitually do something (past tense only) - not.

So sense 1 is the most appropriate.

Check the example: "use your head!" is a bit colloquial, but the other example "we only use Spanish at home" is about using a language. The definition says "put into service; make work or employ for a particular purpose or for its inherent or natural purpose". In the sentence, the thing is used for a particular purpose: defining a variable value. So yes.

Thus, the answer is sense_index 1.

We output JSON: {"sense_index": 1}

format: unknown

native_finish_reason: stop

provider: NextBit

currency: USD


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

[User]
Target lemma: 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}.

reasoning_content:
We are asked to choose the best sense for "define" in the context: ": =: It is used to <t>define</t> a variable value."

Let's examine the candidate senses:

1. define%2:42:00:: | determine the essential quality of | synonyms: specify, delineate, delimit, delimitate. This is about determining essential qualities, not about assigning a variable value.

2. define%2:32:00:: | give a definition for the meaning of a word | example: Define `sadness'. This is about defining words, not variables.

3. define%2:42:01:: | determine the nature of | examples: What defines a good wine? This is about determining nature, not setting a value.

4. define%2:42:03:: | show the form or outline of | synonyms: delineate | examples: The tree was clearly defined by the light; The camera could define the smallest object. This is about visual outlines, not variable assignment.

5. define%2:32:01:: | decide upon or fix definitely | synonyms: specify, set, determine, fix, limit | examples: fix the variables; specify the parameters. This sense directly includes "fix the variables" and "specify the parameters". In the context, it says ": =: It is used to define a variable value." So it's about fixing or specifying a variable value. Sense 5 matches perfectly.

Therefore, the best indexed sense is 5.

Answer: {"sense_index": 5}

provider: Novita


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

[User]
Target lemma: 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}.

reasoning_content:
We are asked to disambiguate the word "value" in the context: "=: It is used to define a variable <t>value</t>." The context is a snippet describing various syntactic constructs, likely from a programming language or formal grammar. "=: It is used to define a variable value." So "value" here is the name given to a variable? Actually, the snippet says: "=: It is used to define a variable <t>value</t>." That suggests that the equals sign is used to define a variable, and the word "value" is highlighted as the target. It might be a variable name, but the target is "value" itself. In programming, a variable holds a value, so the sense might be "a numerical quantity measured or assigned or computed" (sense 1). But note that it says "define a variable value", so "value" could be the name of the variable, or it could refer to the content. Let's read carefully: "=: It is used to define a variable <t>value</t>." So the equals sign defines a variable, and presumably the variable is being assigned a value. The word "value" here likely refers to the data that the variable holds. In computer science, a value is a piece of data. That corresponds to sense 1: "a numerical quantity measured or assigned or computed". The example: "the value assigned was 16 milliseconds" fits well with assignment. Other senses: sense 2 is about desirability; sense 3 is economic; sense 4 is about color; sense 5 is music; sense 6 is ideals. None of those fit a programming context. Therefore, sense 1 is the best.

Return JSON: {"sense_index": 1}

provider: StreamLake


[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}.

reasoning_content:
We are asked to perform Word Sense Disambiguation for the target lemma "way" in the given context. The target surface form is "way", and it appears in the sentence: "Piecewise is the way we can define conditional operations in kalgebra."

We need to choose the best indexed sense from the candidate list. The candidate senses are numbered 1 through 12.

Let's analyze the context: "Piecewise is the way we can define conditional operations in kalgebra." Here, "way" is used to mean the method or manner in which something is done. Specifically, it refers to how conditional operations can be defined. So we're looking for a sense that means "method" or "means".

Now, let's review the 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

In the sentence, "way" is used in the pattern "the way we can define", which is equivalent to "the way in which we can define" or "how we can define". So it's a method or means.

Sense 1 is "how something is done or how it happens" with synonyms manner, mode, style, fashion. Sense 2 is "how a result is obtained or an end is achieved" with synonyms means, agency. Both are very close. However, note that sense 1's definition emphasizes the manner or style of doing something, while sense 2 emphasizes the means or agency by which a result is achieved. In this technical context ("conditional operations in kalgebra"), it's about the mechanism or method used to define these operations. "Piecewise" is a specific method. So it's more about the means of achieving the definition. Also, the example in sense 2: "a means of control" parallels "a way to define". Moreover, the phrase "is the way we can" is akin to "is the means by which we can". Sense 1's examples are about manner: "her dignified manner" describes how she does something, but not necessarily a specific method. In contrast, "Piecewise is the way we define..." suggests that piecewise is a concrete approach or mechanism. Therefore, sense 2 seems more appropriate: "means, agency".

Another clue: In the broader context, the text describes various programming constructs: "It is used to specify a higher priority. ... Piecewise condition definition." It's discussing operators, functions, etc. So "way" here is synonymous with "means" or "method". Sense 2 explicitly lists "means" as a synonym.

Let's check other senses: Sense 3 is about direction, sense 4 about condition of things (not method), sense 5 about a course of conduct (moral path), sense 6 physical road, sense 7 journey, sense 8 space for movement, sense 9 distance, sense 10 choice, sense 11 category, sense 12 shares. None of these fit.

Thus, between sense 1 and sense 2, sense 2 is a better match because it explicitly includes "means" and focuses on achieving an end. Also, the phrase "the way we can define" implies a means of doing something. I'll select sense 2.

Return JSON with 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: 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}.

reasoning_content:
We are asked to perform word sense disambiguation for the target lemma "define" with surface form "define" in the given context. The context is a technical explanation about a system (likely a programming language or math tool called "kalgebra"). The relevant sentence is: "Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra." The target word is "define". We need to choose among five candidate senses.

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

We need to map "define" in context. The context talks about "Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra." It is a programming or mathematical context. The user is explaining how to use the "?" symbol to define conditional operations. So "define" here means something like "specify" or "set" the conditional operations. It's about creating or specifying the behavior of conditional operations. Sense 5: "decide upon or fix definitely" with synonyms specify, set, determine, fix, limit, examples: fix the variables; specify the parameters. This fits perfectly: we define conditional operations, meaning we specify or fix how they work. Sense 1: "determine the essential quality of" is more about identifying the essence, not about specifying something in a technical setup. Sense 2: giving a definition of a word, not relevant. Sense 3: determine the nature of, similar to 1 but more abstract. Sense 4: show the form or outline, visual. So clearly sense 5 is best.

Answer: {"sense_index": 5}

provider: DeepInfra


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

[User]
Target lemma: 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}.

reasoning_content:
We are asked to perform Word Sense Disambiguation for the target lemma "conditional" with the surface form "conditional". The context is from a description of a syntax for defining conditional operations in a system (likely a programming or math language). The 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

We need to choose the single best sense based on the context. The context: "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."

The target word is "conditional" modifying "operations". The phrase "conditional operations" means operations that are executed only if a certain condition is true. This aligns with sense 2: "imposing or depending on or containing a condition". The examples given for sense 2 include "conditional acceptance" and "lent conditional support", which both involve conditions. Sense 1, "qualified by reservations", is a less common sense, typically meaning limited or with restrictions. In the context, "conditional operations" are operations that depend on a condition, not merely qualified by reservations. So sense 2 is the best match.

Thus, the answer should be {"sense_index": 2}.

provider: Baidu


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

[User]
Target lemma: 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}.

reasoning_content:
We are given: "?: Piecewise condition definition. Piecewise is the way we can define conditional <t>operations</t> in kalgebra."

Target word: operations, lemma: operation.

Context: It's about programming/math: "kalgebra" likely is a software (KAlgebra, a math tool). The sentence: "Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra." So "operations" here refers to some computational or mathematical procedures. Looking at the senses:

1. state of being operative - no.
2. business - no.
3. planned activity - unlikely.
4. (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". This fits well: in programming/math, "operations" are often used like this. Conditional operations would be data processing steps that are conditional.
5. military - no.
6. medical - no.
7. process or series of acts especially of a practical or mechanical nature - "the operations in building a house; certain machine tool operations" - could be, but "conditional operations" in kalgebra is more about computational steps.
8. process or manner of functioning - e.g., "the plane's operation in high winds" - not really.
9. psychology - no.
10. (mathematics) calculation by mathematical methods - "mathematical operation". This is also a strong candidate. In math software, "operations" often means mathematical operations like addition, function definition, etc. Piecewise conditions define conditional mathematical operations.
11. activity of operating something - no.

Distinguish between sense 4: computer science operation (a single instruction, data processing) and sense 10: mathematical operation. In context, "kalgebra" is a computer algebra system, so it's both mathematical and computer-based. WordNet places mathematical operations in a separate sense (10), but the example for sense 4 is "it can perform millions of operations per second" which is generic computer operations. Sense 10 examples: "they were learning the basic operations of arithmetic". Conditional operations in kalgebra likely refer to mathematical operations that are piecewise-defined, like a function that has different expressions depending on condition. That's a mathematical operation. However, sense 4 says "data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction)". That could also encompass a mathematical operation performed by a computer. But note that sense 10 is specifically "calculation by mathematical methods". Given that the context is defining piecewise conditions, it's squarely mathematical. So sense 10 seems more appropriate: mathematical operation.

But let's check: the target is "operations" in a sentence about defining conditional operations in kalgebra. In software, we often talk about "mathematical operations". So I think sense 10 fits best.

Thus, return index 10.


[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}.

reasoning_content:
We are asked to perform word sense disambiguation for the target lemma "introduce" in a given context. The context is from a technical document about a parser for a mathematical system (KAlgebra). The target sentence: "If we <t>introduce</t> the condition before the? it will use this condition only if it is true..." So, they are talking about using the '?' operator for piecewise conditions, and you can "introduce" a condition before the '?'. In programming/technical contexts, "introduce" often means to insert or bring in something into a place, like adding a condition into the code or expression.

We have 10 candidate senses. Let's analyze each:

1. cause to come to know personally (present, acquaint) - social introduction of people. Not relevant.
2. bring something new to an environment (innovate) - e.g., "A new word processor was introduced." Could apply to introducing a condition into a system? It says "bring something new to an environment", like a new feature. But the context is about simply placing a condition before the '?' in a piecewise definition. That might not be bringing something "new" to the environment, but rather inserting it.
3. insert, enclose, stick in, put in - examples: "Insert your ticket here." This is about physically inserting something. Could be metaphorical for inserting code? Possibly.
4. bring in a new person or object into a familiar environment - e.g., "He brought in a new judge." This is about bringing someone/something into an existing group or place. The condition could be brought into the expression, but it says "new person or object", which might fit.
5. bring in or establish in a new place or environment - e.g., "introduce a rule; introduce exotic fruits." This implies introducing something to a new place where it wasn't before. Might fit for introducing a condition into the code? But sense 5 seems to be about establishing something like a rule or a species.
6. put or introduce into something (insert, infix, enter) - "insert a picture into the text." This is close to sense 3 but more about putting into something. For a condition, you might "introduce" it into the expression, i.e., insert it.
7. bring before the public for the first time, as of an actor, song, etc. - Not relevant.
8. put before (a body) - "introduce legislation" - formal presentation. Not relevant.
9. furnish with a preface or introduction - "She always precedes her lectures with a joke." This is about prefacing, not inserting.
10. be a precursor of - "usher in" - not relevant.

Now, the context: "If we <t>introduce</t> the condition before the? it will use this condition only if it is true..." Here, "introduce" means to place or put the condition in the code before the '?' operator. So, it's about inserting or putting something into a specific location. The closest senses are those involving insertion: sense 3 (insert, enclose, stick in, put in) and sense 6 (put or introduce into something). Sense 3 has synonyms "insert, enclose, inclose, stick in, put in", and example "Insert your ticket here." That is about inserting a physical object. Sense 6 has synonyms "insert, infix, enter" and example "insert a picture into the text," which is more about inserting content into a document or medium, which is analogous to inserting code or a condition. Sense 6 seems more metaphorical for digital/textual insertion. Sense 5 is "bring in or establish in a new place or environment" with examples like "introduce a rule", which could also work: introducing a condition (rule) into the system. However, the context says "introduce the condition before the?" – it's about placing it syntactically before the '?' symbol, so it's literally inserting it into the expression. That leans more towards insertion (sense 6). Sense 5's examples "introduce a rule" or "introduce exotic fruits" suggest bringing something into a new context, not necessarily inserting into a specific location. The condition is being introduced into the piecewise definition, i.e., inserted before the '?'. So I think sense 6 (insert/infix) is a better fit, as it specifically involves putting something into something else.

But let's read the definitions carefully: sense 3 definition is just "introduce" with synonyms insert, enclose, inclose, stick in, put in. Sense 6 definition: "put or introduce into something" with synonyms insert, infix, enter. Sense 3 seems to be a catch-all for literal insertion, while sense 6 is more about introducing into a medium. However, both are very close. Which one is the best indexed sense? The difference might be that sense 6 is specifically "put or introduce into something", which sounds like you're inserting something into an existing thing. The example "insert a picture into the text" is analogous to inserting a condition into the code. Sense 3's example "Insert your ticket here" is about putting a ticket into a slot. So sense 6 is more metaphorical, fitting for code.

Also, note that sense 4 is "bring in a new person or object into a familiar environment" with example "He brought in a new judge." That doesn't fit because it's about bringing a person/object into an environment, not inserting a piece of code.

Sense 5 is "bring in or establish in a new place or environment" – examples: introduce a rule; introduce exotic fruits. That could work: introducing a condition as a new rule. But the phrase "introduce the condition before the?" suggests a positional insertion, not just establishing something new. So sense 6 seems better.

Therefore, I'll select sense 6.

Return JSON: {"sense_index": 6}


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

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

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

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

reasoning_content:
We are asked to choose the best sense for "use" in the context: "Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will <t>use</t> this condition only if it is true, if it finds a? without any condition, it will enter in the last instance."

The target word is "use" (surface form: use). The context is technical, about a programming language (kalgebra) where a condition is defined piecewise. The phrase is: "it will use this condition only if it is true" — meaning, the system will apply or employ that condition when it is true.

Now, examine the candidate senses:

1. put into service; make work or employ for a particular purpose... synonyms: utilize, utilise, apply, employ. Examples: use your head!; we only use Spanish at home. This fits perfectly: the system will employ/utilize the condition.

2. take or consume (regularly or habitually) - not relevant; no consumption.

3. use up, consume fully - no; not about exhausting.

4. seek or achieve an end by using to one's advantage - could be, but it's more about exploiting for personal gain. Here, it's just applying a condition in a definition.

5. avail oneself to - synonyms: practice, apply. Examples: apply a principle; practice a religion. This also fits: apply a condition. But note the distinction: sense 1 is more general "employ", sense 5 is more "apply a principle". In the context, "use this condition" means to apply or employ it. Both 1 and 5 are close. But sense 1 is broader: "make work or employ for a particular purpose". The examples: "use your head!", "we only use Spanish" are more like utilizing something. Sense 5 is specifically "avail oneself to", with "apply a principle" example. In programming, "use this condition" might be seen as applying the condition. But note that sense 5 often implies a habitual or principled application (practice a religion). The sentence is about a conditional operation: if the condition is true, it will use (i.e., employ) that condition. This is not about practicing a principle but about utilizing a condition in a definition.

Sense 1 is the most general and direct. Also, WordNet often labels sense 1 as the most common. The context: "it will use this condition only if it is true" — it's putting the condition into service for the purpose of evaluating the piecewise definition.

Therefore, I select sense 1.

Return JSON: {"sense_index": 1}


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

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

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

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

reasoning_content:
We are asked to perform word sense disambiguation for the word "true" in the given context. The context is a description of a programming language or system called "kalgebra". The sentence is: "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."

Here, "true" is enclosed in <t> tags, suggesting it is a keyword or a special term. In programming contexts, "true" often refers to a Boolean value meaning "consistent with fact or reality; not false." That matches sense 1: "consistent with fact or reality; not false." The other senses (aim, devoted, truthful, conforming to criteria, dependable, sincere, rightly so called, geographic, legitimate, in tune, level) do not fit. The context is about a conditional definition: if a condition is true, then something happens. So "true" is used in a logical/Boolean sense.

Thus, the best indexed sense is 1.


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

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

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

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

reasoning_content:
We are asked to perform word sense disambiguation for the target lemma "find" with surface form "finds" in a given context. The context is about a parser in a programming language (KAlgebra) and how it finds a function or a "?" without condition. We need to choose the best indexed sense from the candidate list.

Let's analyze the context: "When the parser finds a function, it checks if abc is an operator... it will be treated as a user function." and then "if it finds a? without any condition, it will enter in the last instance." So the parser is encountering or coming across something during parsing. The verb "finds" here means the parser detects or discovers the presence of something (a function, a "?"). It's not accidental (sense 1: come upon by accident) because the parser is systematically scanning. It's more about detecting or determining the existence or fact of something. Sense 2: "discover or determine the existence, presence, or fact of" with synonyms detect, observe, discover, notice. Example: "She detected high levels of lead..." That fits well: the parser detects a function or a "?". Sense 3 is about finding after searching, like finding lost glasses. Not exactly the same; the parser is not searching for a lost item, it's parsing. Sense 4: establish after calculation... not quite, it's not calculating but recognizing. Sense 8: make a discovery, new finding—maybe, but it's more about detection. Sense 9: "She found that he had lied" is discovering a fact. That could fit: the parser finds that something is a function, but the context says "finds a function", not "finds that...". So it's a direct object, not a clause. Sense 2 is the most direct: detect/observe/discover the existence/presence/fact of something. The parser finds a function (detects its presence) and finds a "?" (detects the symbol). So sense 2 is likely.

Check other senses: Sense 1 "come upon, as if by accident" - not accidental here, it's deliberate parsing. Sense 3 "come upon after searching" - the parser might be searching, but the phrase "finds" in this context is more about detection during processing. Sense 4 "determine" could be but it's more about calculation/investigation. Sense 5 "feel" - no. Sense 6 "witness" - not. Sense 8 "make a discovery" - maybe, but sense 2 is more about detecting existence. Sense 9 "make a discovery" with a that-clause: not.

Thus, the best indexed sense is 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}.

reasoning_content:
We are given the context: "it will enter in the last <t>instance</t>"
The target word is "instance". We have two senses.

Sense 1: "an occurrence of something" (case, example) - examples: it was a case of bad judgment; another instance occurred yesterday.
Sense 2: "an item of information that is typical of a class or group" (example, illustration, representative) - examples: this patient provides a typical example of the syndrome; there is an example on page 10.

The context: "if it finds a? without any condition, it will enter in the last instance." The context is about a piecewise conditional definition. It describes a structure with conditions and then a default case. "Instance" here refers to the last branch or case in the piecewise definition. It seems to mean an occurrence or a case, like "the last case". It's not providing a typical example; it's an occurrence or a case in a conditional structure. The phrase "last instance" means the final case or occurrence. Sense 1 fits: an occurrence of something (like a case). Sense 2 is about a representative example, which doesn't fit.

Thus, sense_index 1.

provider: Fireworks


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

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

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

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

reasoning_content:
We are asked to disambiguate the word "used" in the context: "{}: MathML container. It can be <t>used</t> to define a container. Mainly useful for working with piecewise." The target is "used" as a past participle in the phrase "can be used". The context is about defining something in a technical sense. The sense should be about employing or utilizing something for a purpose. Let's look at the candidates:

1. put into service; make work or employ for a particular purpose or for its inherent or natural purpose (utilize, utilise, apply, employ). Example: "use your head!", "we only use Spanish at home". Fits: "It can be used to define a container" means it can be employed for that purpose.

2. take or consume (regularly or habitually) - "She uses drugs rarely" - not applicable.

3. use up, consume fully - "The legislature expended its time" - not applicable.

4. seek or achieve an end by using to one's advantage - "She uses her influential friends" - not quite; it's about exploiting personal advantage.

5. avail oneself to, practice, apply - "apply a principle" - might work, but it's more about applying a principle or practice, not necessarily employing a tool. "use" in "can be used to define" is about employing a tool (MathML container) for a purpose. Sense 1 is more direct.

6. habitually do something (only in past tense) - "used to" - this is a different grammatical usage, not applicable.

Thus, sense 1 is the best.

Output 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}.

reasoning_content:
We are asked to do Word Sense Disambiguation for the word "define" in a specific context. The context is about a mathematical or programming framework called "kalgebra" (likely a typo for "algebra" or a specific system). The text says:

": =: 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."

The target occurrence is in "<t>define</t> a container". The context overall talks about defining things: defining a variable value, defining conditional operations, defining a container. It's in a technical, mathematical context. The word "define" here means to set or specify something, like creating a variable or a container with a specific meaning or value.

Looking at the candidate senses:

1. determine the essential quality of (synonyms: specify, delineate, delimit, delimitate) – This is about specifying the essential nature of something. In a technical context, it might fit, but it's more about describing boundaries or qualities rather than setting something.

2. give a definition for the meaning of a word (example: Define 'sadness') – This is clearly about giving a lexical definition. Not relevant here.

3. determine the nature of (example: What defines a good wine?) – Similar to sense 1, about determining nature or essence.

4. show the form or outline of (synonyms: delineate; example: The tree was clearly defined by the light) – This is about visual or physical outlining. Not relevant here.

5. decide upon or fix definitely (synonyms: specify, set, determine, fix, limit; examples: fix the variables; specify the parameters) – This sense is about fixing or setting something, like variables or parameters. In computing/math contexts, "define" often means to set or specify a value or entity. The context says "define a variable value" and "define a container". This fits perfectly: it's like "set" or "specify" the value or container.

Sense 5 is the best match. The example even says "fix the variables; specify the parameters". The context uses "define" in that sense: to set or specify something. Also, in the phrase "define a container", it's about specifying what the container is, i.e., setting it.

Therefore, the index is 5.

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

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

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

reasoning_content:
We are asked to perform word sense disambiguation for the word "useful" in the given context. The context is a technical explanation about piecewise conditions in kalgebra, MathML container, and its use. The target word appears in: "Mainly <t>useful</t> for working with piecewise."

The candidate senses are two:

Sense 1: being of use or service; synonyms: utile; examples: the girl felt motherly and useful; a useful job.

Sense 2: having a useful function; synonyms: utilitarian; examples: utilitarian steel tables.

In the context, "useful" describes the MathML container being "useful for working with piecewise." This is a functional utility, but both senses are close. Sense 1 is a general sense of being useful. Sense 2 specifically emphasizes having a useful function, which aligns with "utilitarian" and "useful for working with." However, the context doesn't suggest a purely utilitarian object like steel tables; it's about a container being useful for a specific purpose. But note that sense 2 is more specific: "having a useful function" and the example "utilitarian steel tables" implies practical, functional design. The phrase "useful for working with piecewise" directly indicates that it serves a function. Yet, sense 1 is also applicable: "being of use or service". Given the technical context, it might be more about functionality. But the WordNet gloss is schematic: sense 2 explicitly says "having a useful function" which matches "useful for working with". Sense 1 is broader. I need to choose the best.

Also note: sense keys indicate sense 2 is an adjective satellite (5:00:00:functional:00) meaning it's a sense that is derived or more specific? It's a related adjective from functional. Sense 1 is general (3:00:00::) maybe a core adjective. But in this sentence, the word is simply "useful" meaning it has utility for a task. That seems closest to sense 1: being of use. "Utile" is a synonym. Sense 2 is more specifically about having a useful function, like utilitarian design. "Utilitarian steel tables" suggests something designed solely for function without aesthetics. The MathML container is not necessarily described as purely utilitarian in that sense; it's just useful. So I'd lean toward sense 1.

Examples: "a useful job" is parallel: a job that is useful. Here, a container that is useful for something. That matches sense 1.

Thus, I choose sense index 1.

JSON object: {"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}.

reasoning_content:
We are asked to perform word sense disambiguation for the target lemma "work" (surface form "working") in the given context. The context is a technical explanation about "piecewise" condition definitions in "kalgebra" (likely a math software like KAlgebra). The sentence containing the target is: "Mainly useful for <t>working</t> with piecewise."

We need to choose the best sense from 27 candidate senses. Let's analyze the context: "Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for <t>working</t> with piecewise. Now you could ask me, why should the user mind about MathML?"

So, "working with piecewise" means using, handling, or manipulating piecewise expressions. It's about using something (a MathML container) to work with piecewise conditions. This is a common phrase: "working with X" meaning using or dealing with X. Which sense matches?

Let's review the candidate senses. The target is "working", which is the progressive form of the verb "work". Most senses are verbs. Sense 1: exert oneself (physical/mental effort) - not appropriate here. Sense 2: be employed - no. Sense 3: have an effect or outcome - e.g., "How does your idea work?" - not exactly. Sense 4: perform as expected when applied (function, operate) - for machines, etc. Not about tools? "work with piecewise" could be like "function with piecewise", but it's more about using it. Sense 5: shape, form, or improve a material (work on, process) - not. Sense 6: give a workout to - no. Sense 7: proceed along a path - no. Sense 8: operate in a certain place - no. Sense 9: proceed towards a goal - not exactly. Sense 10: move agitatedly - no. Sense 11: cause to happen - no. Sense 12: cause to work (put to work) - no. Sense 13: prepare for crops - no. Sense 14: behave in a certain way when handled - possibly? "This dough does not work easily" - about material handling. But "working with piecewise" is about using a feature. Sense 15: have and exert influence - no. Sense 16: operate in or through (e.g., "Work the phones") - no. Sense 17: cause to operate or function - e.g., "work an electric drill" - means to operate a tool. "working with piecewise": the MathML container is useful for operating with piecewise, i.e., using it. Sense 17: "cause to operate or function; examples: This pilot works the controls; Can you work an electric drill?" This sense is transitive, but the text says "useful for working with piecewise" where "working" is intransitive (with preposition "with"). But the sense key defines it as "cause to operate", so it's about making something work, often an object. In "working with piecewise", the object is piecewise, and you're making it work or using it. Could fit. Sense 18: provoke or excite - no. Sense 19: gratify and charm - no. Sense 20: make something (shape, form) - no. Sense 21: move into or onto (work into) - no. Sense 22: make uniform (knead) - no. Sense 23: use or manipulate to one's advantage (exploit) - e.g., "She knows how to work the system" - this means to manipulate or use a system effectively. "working with piecewise" could mean "using piecewise" or "manipulating piecewise". Sense 23 might be a fit: "use or manipulate to one's advantage; synonyms: exploit; examples: He exploit the new taxation system; She knows how to work the system". But it's "work the system", not "work with the system". However, "work with" could be synonymous with "use". Sense 24: find the solution to (solve) - e.g., "work out your problems" - not exactly. Sense 25, 26, 27: fermentation, etc. - no.

We need to find the sense that best matches "working with piecewise". In context, the MathML container is a tool, and piecewise is a feature. The sentence says the container is mainly useful for working with piecewise. That is, it helps you use piecewise. This is a very common sense of "work" meaning "to use or handle" something. Many dictionaries have a sense like: "to handle or use (a tool or material), especially in order to produce something." For example, Cambridge: "to use or handle something, especially a tool or material, to produce an effect or result: He works the land (= grows crops). / She works the clay with her hands. / They worked the metal into shape." That sense is similar to sense 5: shape, form, or improve a material (work stone into tools), sense 20: make something (shape, form), sense 22: knead. But those are about physical manipulation of materials. Here, it's more abstract: working with piecewise conditions in a computer algebra system. Another common sense: "to operate (a machine or device)" as in sense 17. But that's about making something function. You work a machine. "Work with a tool" means to use the tool to do something. For example, "I'm working with a new software" means I'm using the software. There is also sense 23: "use or manipulate to one's advantage". That might be closest for abstract usage, but the example "She knows how to work the system" implies a sense of exploitation or shrewdness, not neutral use.

Let's check the definitions again. Sense 17: "cause to operate or function; This pilot works the controls; Can you work an electric drill?" This is transitive, but here "working" is used intransitively with "with". However, the lemma is "work", and the frame "work with X" is a common phrasal usage. None of the senses explicitly mention "work with" except maybe sense 9: "work your way through" is different. Many verb senses can take "with" as an instrumental preposition. We need the underlying meaning.

Perhaps there is a sense like "use" that is not explicitly listed? Among the given senses, none perfectly matches "use something as a tool". Sense 23 might be the closest: "use or manipulate to one's advantage", but it usually implies exploiting, not just using. Sense 4 is about functioning: "perform as expected when applied". "work with piecewise" could mean "function with piecewise", like how something works with something else. But the subject is a MathML container, which is useful for working with piecewise. It's more about a person using the container to work with piecewise, but the sentence is "[The container is] mainly useful for working with piecewise." So "working" here is a gerund, and its subject is implicit (the user). The container is useful when you work with piecewise. So "working" describes an activity: using piecewise. So the sense needed is something like "to deal with, use, or manipulate something".

I recall that in some WordNet versions, there is a sense "work" meaning "use or manage" but none exactly. Let's scan all senses:

1: exert effort
2: be employed
3: have effect/outcome
4: function (machine)
5: shape/form material
6: exercise (workout)
7: proceed along path (work one's way)
8: operate in an area/specialty (work the clubs)
9: proceed towards goal (work your way through)
10: move agitatedly
11: cause to happen (work a miracle)
12: cause to work (work one's servants)
13: cultivate (work the soil)
14: behave when handled (dough works easily)
15: have influence (work on someone)
16: operate in/through (work the phones)
17: cause to operate (work the controls)
18: provoke/excite (work the crowd)
19: gratify/charm (work the crowd)
20: make/shape (form cylinders)
21: move into/onto (work raisins into dough)
22: knead (work clay)
23: use/manipulate to advantage (work the system)
24: solve (work out a problem)
25: ferment
26: sour/spoil
27: arrive at condition (stitches work loose)

"Working with piecewise" is an intransitive use with preposition "with". Many of these senses are transitive. We need a sense that can be used intransitively with a preposition like "with". Consider the phrase "work with something": it can mean "to use something as a tool or material". For instance, "I like working with wood" uses the "shape, form, or improve a material" sense (sense 5). But that is specifically about shaping physical material. In computing, "work with" is often a metaphor: "working with data" means manipulating data. Could be an extension of sense 5, but not exactly. Alternatively, sense 3: "have an effect or outcome; How does your idea work in practice?" That's intransitive. But "working with piecewise" doesn't mean "having an effect with piecewise".

Sense 9: "proceed towards a goal or along a path or through an activity; work your way through every problem or task" - that is transitive with "your way" usually. But example: "She was working on her second martini" shows "work on" meaning to progress through. Not "work with".

Sense 23 is "use or manipulate to one's advantage", e.g., "work the system" – that is transitive, but you can "work with the system" as a variant? The example given is "He exploit the new taxation system" (subject he). The sense is about exploiting a system. But here, "working with piecewise" is not necessarily exploitative; it's just using it. Could be neutral.

I think the most appropriate sense might be "use or manipulate" but it's not perfect. Let's see if there's a better fit among the senses. The phrase "useful for working with X" is a generic way to say "useful when you are using X". Another possibility: sense 4: "perform as expected when applied" – but that's about things functioning, not about people using them. Sense 4 is intransitive: "The machine works." You wouldn't say "I am working with the machine" to mean the machine is functioning; you'd say "I am working the machine" (transitive, sense 17) or "I am working with the machine" meaning using it. So sense 4 not.

Sense 17: "cause to operate" – transitive, but you could say "working the piecewise"? That doesn't fit.

Could "working" here be a different lemma? "Working" as an adjective? No, it's a gerund.

Another idea: the context says "Mainly useful for working with piecewise." This might mean "for doing work on piecewise" i.e., for handling piecewise expressions. The word "working" could be interpreted as "the action of using piecewise". Since no sense exactly matches "use", the closest might indeed be sense 23: "use or manipulate to one's advantage". But note sense 23's definition says "use or manipulate to one's advantage", and the synonym is "exploit". That suggests a self-serving, strategic use. This might fit if the user is exploiting piecewise for their work. But it's a bit forced.

Alternatively, maybe sense 5: "shape, form, or improve a material; work on, process". If we metaphorically view piecewise as a material to be shaped, but it's data, not physical.

Another candidate: sense 9: "proceed towards a goal ... through an activity" – not exactly.

Sense 1: "exert oneself by doing mental or physical work" – that could fit: when you are working with piecewise, you are exerting mental effort. But that sense is about the effort, not about the activity's object. "Working with piecewise" is the activity, so sense 1 might be relevant because "work" in "working with" is the action of doing work. For instance, "I am working on a project" uses sense 1. In that case, "working" is just the general verb for doing work. The context doesn't emphasize effort, but it's possible. Many WSD tasks treat "work with" as the main sense of "work" (sense 1 or 2). Sense 1: "exert oneself by doing mental or physical work for a purpose" – examples: "I will work hard to improve my grades; she worked hard for better living conditions". That is intransitive or with a purpose clause. The phrase "work with piecewise" fits as an intransitive use with a prepositional phrase indicating the domain. So sense 1 might be the broadest and most neutral. It's just "do work involving piecewise". That's very plausible.

So which sense is best? We have to choose one. Let's consider the definition of sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity". In a technical software manual, "working with piecewise" likely means using piecewise in one's mathematical work. It is mental work. So sense 1 fits well. Sense 2 is "be employed" (have a job), not appropriate because it's not about employment. Sense 3: "have an effect" also not. So sense 1 is a strong candidate.

However, sense 1 is very general. Is there a more specific sense? Sense 23 is specific to "use or manipulate", which is directly about using something. But the example sentences for sense 23 are about exploiting systems, like "She knows how to work the system" and "He exploit the new taxation system." That implies a slightly manipulative nuance. On the other hand, sense 1 is neutral exertion. In computational linguistics, WordNet often has a separate sense for "work: use or manipulate" as a distinct sense. Here, sense 23 is exactly that. Let's examine the WordNet sense key: work%2:41:10? No, sense 23 is work%2:34:10? Actually, the sense keys encode the file number and sense. The sense keys provided: For sense 23, it's work%2:34:10:: - I can't see, but it's listed. So it's a recognized sense.

If I check known WordNet online, sense of "work" meaning "use or manipulate to one's advantage" is indeed a verb sense, e.g., "work the phones" is also a sense (sense 16). "Work the system" is that sense. And "working with piecewise" might be akin to "work the system" – meaning to use piecewise to one's advantage, i.e., effectively. That seems plausible in a tutorial: the container helps you use piecewise.

But the phrase is "working with piecewise", not "working piecewise" (without with). The preposition "with" might indicate that the sense is not transitive, but the verb can still be the same underlying sense when used with "with". In corpus, "work with" often maps to the general "exert oneself" sense when it means to collaborate or use something. For example, in SemCor, "work with" is often sense 1.

Let's try to find an example: "I work with computers" – would that be sense 1 (exert oneself using computers) or sense 23? Probably sense 1, because it's not exploitative; it's just the activity. Sense 23 is specifically for gaining advantage. "She knows how to work the system" suggests cleverness. If you say "I'm working with a new software", it's just that you're performing work using that software. I lean toward sense 1.

Another candidate: sense 9 "proceed towards a goal... work your way through every problem" might have "work on" but not "work with".

Let's check the sense inventory carefully. The word "work" as in "work with a tool" can be considered sense 17 "cause to operate" but that's for machines, or sense 5 "shape material", but not for abstract data. In many WSD datasets (e.g., Senseval/SemEval), "work with" is often tagged with the sense "exert oneself" (work%2:41:02) when it's about the activity of labor, or "function" when about machines. Here, it's clearly human activity: the user is working with piecewise, i.e., doing math. The container is useful for that activity. So sense 1 seems most fitting.

Thus, I'll go with sense index 1.