[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:
The target word is "function" in the 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."

The context is about a parser in a computer program or language. "function" here refers to a subroutine or procedure in a computer program.

Candidate sense 7: "a set sequence of steps, part of larger computer program" with synonyms "routine, subroutine, subprogram, procedure". This fits best.


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:
The target word is "used" in the context: "It is used to specify a higher priority." and "It is used to define a variable value."
This means something is employed or put into service for a particular purpose.
Let's look at the senses.
Sense 1: put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
Sense 2: take or consume (regularly or habitually)
Sense 3: use up, consume fully
Sense 4: seek or achieve an end by using to one's advantage
Sense 5: avail oneself to | synonyms=practice, apply
Sense 6: habitually do something (use only in the past tense) | examples=She used to call her mother every week...

The context clearly shows something being employed for a particular purpose ("used to define a variable value").
This aligns perfectly with Sense 1.

format: unknown

native_finish_reason: stop

provider: Baidu

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:
The target word is "define" in the context: "=: It is used to define a variable value."

This is about assigning/setting a variable's value. Let's look at the senses:

1. determine the essential quality of
2. give a definition for the meaning of a word
3. determine the nature of
4. show the form or outline of
5. decide upon or fix definitely | synonyms=specify, set, determine, fix, limit | examples=fix the variables; specify the parameters

Sense 5 has examples like "fix the variables" and "specify the parameters" which are very close to the context of defining a variable value. The synonyms include "set" which is what you do when you define a variable value - you set it.

The answer is sense 5.


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

[User]
Target lemma: 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:
The target word is "value" in the context of defining a variable in what appears to be a programming/math context.

The context says: "It is used to define a variable value."

This is clearly referring to a numerical quantity or computed value assigned to a variable in programming/mathematics. The first sense "a numerical quantity measured or assigned or computed" fits perfectly, especially with the example "the value assigned was 16 milliseconds."


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

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

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

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

raw_output:
Looking at the context: "Piecewise is the way we can define conditional operations in kalgebra."

Here, "way" refers to how something is done — the manner or method by which conditional operations are defined. The phrase "the way we can define" is asking about the method/approach of performing an action, which aligns with "how something is done or how it happens." The synonyms (manner, mode, style, fashion) and the examples (e.g., "his rapid manner of talking") reinforce this interpretation.

Sense 2 ("how a result is obtained or an end is achieved") is close, but it emphasizes means/agency toward an end goal, whereas this context is more about the manner of performing an action.

{"sense_index": 1}

reasoning_content:
The target word "way" appears in the context: "Piecewise is the way we can define conditional operations in kalgebra."

Let me analyze the context: "Piecewise is the way we can define conditional operations in kalgebra."

This means "Piecewise is the method/manner by which we can define conditional operations."

Looking at 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

The context "Piecewise is the way we can define conditional operations" refers to how something is done - the manner or method by which something is accomplished.

Sense 1 (how something is done or how it happens) and Sense 2 (how a result is obtained or an end is achieved) are the closest candidates.

Sense 1: "how something is done or how it happens" - synonyms=manner, mode, style, fashion
Sense 2: "how a result is obtained or an end is achieved" - synonyms=means, agency

The sentence "Piecewise is the way we can define conditional operations in kalgebra" is describing how something is done (defining conditional operations). It's about the method/manner of doing something.

Sense 1 seems more about the manner/style of doing something.
Sense 2 seems more about the means/agency to achieve an end.

"Piecewise is the way we can define conditional operations" - this is about the method/approach used to define something. It's how something is done.

I think Sense 1 fits well: "how something is done or how it happens" - the piecewise approach is how we define conditional operations.

But Sense 2 could also work: "how a result is obtained or an end is achieved" - piecewise is the means by which we define conditional operations (the end/result).

Let me think more carefully. "The way we can define conditional operations" - this is about the manner in which we do something. It's "how something is done."

Sense 1 with synonyms like "manner, mode, style, fashion" fits well. "Piecewise is the manner/mode we can define conditional operations."

Sense 2 with synonyms "means, agency" would be "Piecewise is the means/agency by which we define conditional operations."

Both could work, but I think Sense 1 is a better fit because "the way we do X" is more naturally about the manner/method of doing something, which aligns with "how something is done or how it happens."

Actually, let me reconsider. "Piecewise is the way we can define conditional operations" - here "way" is being used to describe the method/approach. It's about how a result (defining conditional operations) is achieved.

Sense 2 says "how a result is obtained or an end is achieved" with synonyms "means, agency." This could fit well.

But Sense 1 says "how something is done or how it happens" with synonyms "manner, mode, style, fashion." This also fits.

The distinction is subtle. Sense 1 is more about the manner/style of doing something, while Sense 2 is more about the means/instrument to achieve an end.

"Piecewise is the way we can define conditional operations" - Piecewise here is a construct/feature that enables us to define conditional operations. It's more of a means to an end.

But "the way we can define" is also about how something is done - the manner.

I think Sense 1 is slightly better because "the way we do X" is a common expression meaning "the manner in which we do X." The focus is on the method/manner rather than on achieving a particular result.

Actually, I'm now leaning towards Sense 1 because:
- "the way we can define conditional operations" = "the manner/mode we can define conditional operations"
- The definition "how something is done or how it happens" directly matches
- The example "his rapid manner of talking" shows this is about how an action is performed

Let me go with Sense 1.


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

[User]
Target lemma: 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:
The target word is "define" in the context: "Piecewise is the way we can define conditional operations in kalgebra."

Here, "define" is used in the context of specifying or setting up conditional operations in a programming/math context (kalgebra). The user is explaining how to define (set up, establish) conditional operations.

Let me look at the senses:

1. determine the essential quality of (specify, delineate, delimit, delimitate)
2. give a definition for the meaning of a word (Define `sadness')
3. determine the nature of (What defines a good wine?)
4. show the form or outline of (delineate)
5. decide upon or fix definitely (specify, set, determine, fix, limit) - examples: fix the variables; specify the parameters

Sense 5 seems most appropriate because:
- The context is about defining/specifying conditional operations in a programming context
- The synonyms include "specify" which fits well
- The examples "fix the variables; specify the parameters" are very similar to the programming context here
- "decide upon or fix definitely" captures the act of establishing/defining conditional operations

Sense 1 is also possible (determine the essential quality of, with synonyms specify, delineate), but sense 5 seems more fitting because it's about fixing/setting something definitely, which aligns with defining conditional operations in a programming context.

Sense 5 seems best.


[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:
The target word is "conditional" in the context of "conditional operations" in kalgebra, where piecewise definitions allow defining operations that depend on conditions.

Sense 1: "qualified by reservations" - This is more about something being tentative or subject to qualifications.
Sense 2: "imposing or depending on or containing a condition" - This fits well with "conditional operations" where operations depend on/contain conditions.

The context is about piecewise condition definitions where operations are performed conditionally (depending on whether a condition is true). This aligns with sense 2: "imposing or depending on or containing a condition."


[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:
The context is about Kalgebra, a mathematical software, and specifically about defining "conditional operations" in Kalgebra. The term "operations" here refers to mathematical operations - specifically conditional operations defined in an algebraic context.

Looking at the candidates:
- Sense 10: "(mathematics) calculation by mathematical methods" with examples like "basic operations of arithmetic" - this fits the mathematical context of Kalgebra.
- Sense 4: "(computer science) data processing in which the result is completely specified by a rule" - this could also fit since Kalgebra is software, but the context is about defining mathematical conditional operations (piecewise conditions).

The context mentions "conditional operations" in the context of algebra (Kalgebra is a math application). The piecewise definition is about defining different mathematical operations based on conditions. This is clearly mathematical in nature.

Sense 10 (mathematical operation) seems most appropriate because:
1. The context is Kalgebra (algebra software)
2. "Conditional operations" refers to mathematical operations
3. The example "basic operations of arithmetic" aligns with the algebraic context

Sense 4 (computer science) could be considered, but the context is specifically about mathematical/algebraic operations, not general data processing.

The best choice is sense 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:
The context is about a parser finding functions and operators, and specifically about piecewise condition definitions in kalgebra. The sentence says: "If we introduce the condition before the ? it will use this condition only if it is true."

Here, "introduce" means to put or insert something (a condition) before something else (the ? symbol). This is about placing/inserting something into a specific location.

Let me look at the candidates:

Sense 3: "introduce" | synonyms=insert, enclose, inclose, stick in, put in | examples=Insert your ticket here - This is about putting something into something.

Sense 6: "put or introduce into something" | synonyms=insert, infix, enter | examples=insert a picture into the text

Sense 5: "bring in or establish in a new place or environment" | examples=introduce a rule; introduce exotic fruits

In the context, we're talking about "introducing the condition before the ?" - this is about placing/inserting a condition at a specific position in the syntax. It's not about bringing something new to an environment (sense 2 or 5), nor about causing someone to know personally (sense 1).

Between sense 3 and sense 6:
- Sense 3: "introduce" with synonyms insert, enclose, inclose, stick in, put in - examples: "Insert your ticket here"
- Sense 6: "put or introduce into something" with synonyms insert, infix, enter - examples: "insert a picture into the text"

The context is about putting/placing a condition before a symbol in a syntax. This is closest to "put in" or "insert" something.

Sense 6 mentions "infix" which is particularly relevant since this is about parsing and operators - infix notation is a concept in parsing. Also "enter" fits well. The example "insert a picture into the text" is about placing something within a structure, which is analogous to placing a condition in a piecewise definition.

Sense 3 is more general about inserting/putting in.

Actually, looking more carefully, the context says "introduce the condition before the ?" - this is about placing something at a specific position. Both sense 3 and sense 6 could work.

Sense 6 seems slightly better because:
1. It mentions "infix" which is relevant to parsing context
2. The example is about inserting into a text/structure
3. "put or introduce into something" fits the idea of introducing a condition into a piecewise definition

I'll go with sense 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:
The context is about a programming/math tool (KAlgebra) where a piecewise condition definition is described. The sentence says: "If we introduce the condition before the? it will use this condition only if it is true."

Here, "use" means to employ or apply the condition for a particular purpose - i.e., putting it into service. This matches sense 1: "put into service; make work or employ for a particular purpose or for its inherent or natural purpose."

Sense 5 (avail oneself to) with synonyms "practice, apply" could also be relevant, but the examples are about applying principles or practicing religion, which is more abstract.

Sense 1 fits best: the system will use (employ, apply) the condition when it is true.


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

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

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

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

reasoning_content:
The context is about a parser checking conditions. It says "If we introduce the condition before the? it will use this condition only if it is true". Here "true" means the condition evaluates to true - consistent with fact or reality, not false. This is the boolean/logical sense of true.

Sense 1: "consistent with fact or reality; not false" - this is the best fit for a condition being true (boolean true).


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

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

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

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

reasoning_content:
The context is about a parser in a programming/math context (kalgebra). "When the parser finds a function, it checks..." and "If it finds a ? without any condition, it will enter in the last instance."

The parser is processing/encountering elements in the code. It's coming upon or encountering a function or a ? symbol during parsing.

Sense 1: "come upon, as if by accident; meet with" - examples: "We find this idea in Plato"
Sense 2: "discover or determine the existence, presence, or fact of" - examples: "She detected high levels of lead"

The parser is encountering/coming upon functions and symbols during its processing. This seems closest to sense 1 (come upon, encounter) or sense 2 (discover/determine the existence of).

When a parser "finds" a function, it encounters it while scanning the code. This is like coming upon something during processing. Sense 1 with "encounter" as a synonym seems most appropriate - the parser encounters a function while parsing.

Sense 2 is about discovering or determining the existence/presence/fact of something. The parser does detect the presence of a function, so this could also work.

Looking at the examples:
- Sense 1: "We find this idea in Plato" - coming upon something while reading/examining
- Sense 2: "We found traces of lead in the paint" - detecting presence

The parser finding a function is more about encountering it during parsing rather than discovering evidence of its existence. The parser is scanning through and comes upon functions and symbols.

I think sense 1 (come upon, encounter) is the best fit. The parser encounters functions and ? symbols during its processing.

provider: Alibaba


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

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

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

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

reasoning_content:
Let me analyze the context to determine the correct sense of "instance".

The context is about a parser and mathematical syntax in Kalgebra. The relevant part is:

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

Here, "instance" refers to an occurrence or case - specifically, when a "?" without any condition is found, it enters the last occurrence/case of the piecewise definition.

Sense 1: "an occurrence of something" - synonyms: 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" - synonyms: example, illustration, representative - examples: "this patient provides a typical example of the syndrome; there is an example on page 10"

In this context, "instance" refers to a particular case or occurrence within the piecewise definition - when no condition is found, it enters the last case/occurrence. This is about a specific occurrence rather than a representative example of a class.

Sense 1 (an occurrence of something) fits better here because it's referring to a specific case/occurrence in the piecewise conditional definition, not a typical example of a class or group.

The answer is sense 1.


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

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

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

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

reasoning_content:
The target word is "used" in the context: "It can be used to define a container."
This means "employed" or "put into service" to define a container.
Let's look at the senses:
1: 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: take or consume (regularly or habitually)
3: use up, consume fully
4: seek or achieve an end by using to one's advantage
5: avail oneself to | synonyms=practice, apply
6: habitually do something (use only in the past tense)

The context says "It can be used to define a container." This matches sense 1: "put into service; make work or employ for a particular purpose" (purpose being "to define a container").
Synonyms for sense 1: utilize, utilise, apply, employ.
This fits perfectly.

provider: GMICloud


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

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

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

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

reasoning_content:
The context is about programming/math syntax: "It is used to define a variable value", "define conditional operations", "define a container". This is about setting/specifying variables or values in a system.

Sense 5: "decide upon or fix definitely" with synonyms "specify, set, determine, fix, limit" and examples "fix the variables; specify the parameters". This fits perfectly with "define a variable value" - setting/specifying variable values.

Sense 1: "determine the essential quality of" - too abstract
Sense 2: "give a definition for the meaning of a word" - not about words
Sense 3: "determine the nature of" - about characteristics
Sense 4: "show the form or outline of" - visual
Sense 5: "decide upon or fix definitely" with example "fix the variables; specify the parameters" - matches "define a variable value"

Sense 5 is best.

provider: Venice


[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:
The context is about MathML containers being "useful for working with piecewise." Here, "useful" means being of practical use or service — the container serves a useful purpose in a specific context.

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"

Sense 2 focuses on something having a useful function (utilitarian), like an object designed with utility in mind. Sense 1 is more about being of use or service in a particular situation.

The sentence says the container is "mainly useful for working with piecewise" — meaning it serves a practical purpose in that context. This is more about being of use/service (sense 1) rather than having a utilitarian design (sense 2).

Actually, let me reconsider. "Having a useful function" — the MathML container has a useful function (for working with piecewise). This could fit sense 2 as well.

But "utilitarian steel tables" suggests objects that are designed to be functional/practical in a utilitarian sense. The word "utilitarian" as a synonym suggests a design philosophy of utility.

Sense 1's examples "a useful job" and "the girl felt motherly and useful" are more about being helpful or of service in context.

The context here: "Mainly useful for working with piecewise" — this is describing that the container is of practical use when working with piecewise. It's being of use or service in that context. This aligns more with sense 1.

I'll go with sense 1.


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

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

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

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

reasoning_content:
The context is about MathML containers being "useful for working with piecewise" in a mathematical software context (kalgebra).

"working with piecewise" means using, operating, or handling piecewise functions/operations.

Looking at the senses:
- Sense 3: "have an effect or outcome" - doesn't fit
- Sense 4: "perform as expected when applied" (function, operate, go, run) - doesn't quite fit "working with"
- Sense 9: "proceed towards a goal or along a path or through an activity" - "work on her second martini" - doesn't fit
- Sense 17: "cause to operate or function" - doesn't fit

Actually, "working with" in this context means to use, handle, or deal with something. Let me look more carefully.

Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity" - examples include "I will work hard to improve my grades" - this is the general sense of working/doing work.

"working with piecewise" = doing work with piecewise, engaging with piecewise, using it. This seems like the general sense of "work" as in doing work/activity with something.

Sense 9: "proceed towards a goal or along a path or through an activity" - examples "work your way through every problem or task" - this could fit "working with piecewise" in the sense of engaging with it.

Actually, let me reconsider. "Working with X" is a common phrase meaning to use, handle, or deal with X. This is the general sense of "work" meaning to do work/activity.

Sense 1 seems most appropriate: "exert oneself by doing mental or physical work for a purpose or out of necessity" - "working with piecewise" means doing mental work with piecewise functions.

But let me also consider sense 9: "proceed towards a goal or along a path or through an activity" - "work your way through every problem or task" - this is more about progressing through something.

Hmm, "useful for working with piecewise" - this means "useful for the purpose of doing work with piecewise" or "useful when one is working with piecewise."

Sense 1 (exert oneself by doing mental or physical work) seems to be the most general and appropriate sense here. "Working with piecewise" = doing work with piecewise, engaging in mental work involving piecewise.

I'll go with sense 1.


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

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

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

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

reasoning_content:
The target word is "Now" in the context: "Now you could ask me, why should the user mind about MathML?"

This "Now" is used as a transitional word, introducing a new topic or question. It's not about the present moment, the past, or a command. It's prefatory or transitional, indicating a change of subject or activity.

Sense 6: "(prefatory or transitional) indicates a change of subject or activity" with example "Now the next problem is..." fits perfectly.

The context is explaining MathML containers, then transitions to "Now you could ask me, why should the user mind about MathML?" - this is a transitional use introducing a new question/topic.

Sense index 6.


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

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

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

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

reasoning_content:
The context is: "Now you could ask me, why should the user mind about MathML?"

This is someone posing a question to the reader/listener. "You could ask me [a question]" - this is about addressing a question to someone and expecting an answer.

Let me look at the senses:

1. inquire about - "I asked about their special today" - general inquiry
2. make a request or demand for something to somebody - "She asked him for a loan"
3. direct or put; seek an answer to - "ask a question"
4. consider obligatory; request and expect - "We require our secretary to be on time"
5. address a question to and expect an answer from - "Ask your teacher about trigonometry"
6. require as useful, just, or proper - "It takes nerve to do what she did"
7. require or ask for as a price or condition - "He is asking $200 for the table"

The context "Now you could ask me, why should the user mind about MathML?" - here "ask me" means posing a question to the speaker. This fits sense 5: "address a question to and expect an answer from" - the example "Ask your teacher about trigonometry" is very similar to "ask me, why should the user mind about MathML?"

Sense 1 "inquire about" is also close, but the focus here is on directing a question to a specific person ("me"), which aligns better with sense 5.

Sense 3 "direct or put; seek an answer to" with example "ask a question" is more general.

I think sense 5 is the best fit: "address a question to and expect an answer from" with example "Ask your teacher about trigonometry; The children asked me about their dead grandmother" - the second example even has "asked me" which parallels the context "ask me."


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

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

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

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

reasoning_content: The context is about a person using software (KAlgebra, MathML). The "user" here refers to a person who makes use of a thing (the software). This matches sense 1: "a person who makes use of a thing; someone who uses or employs something."


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

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

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

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

reasoning_content:
The context is: "Now you could ask me, why should the user mind about MathML? That s easy."

Here, "easy" means posing no difficulty; requiring little effort. The speaker is saying the reason why the user should care about MathML is simple/straightforward/poses no difficulty.

Sense 1: "posing no difficulty; requiring little effort" - examples: "an easy job; an easy problem"

This fits best. The answer is "That's easy" = it's simple, poses no difficulty.

Sense 1 is the best.


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

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

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

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

reasoning_content:
The context discusses MathML, containers, piecewise functions, and specifically mentions "functions like cos(), sin(), any other trigonometric functions, sum () or product ()". This is clearly about mathematical functions.

Sense 1 is "(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)" with synonyms like mathematical function, map, mapping.

Sense 7 is about computer program routines/subroutines.

Although the context mentions MathML and could be related to programming, the examples given (cos(), sin(), trigonometric functions, sum(), product()) are mathematical functions. The text says "operate with functions like cos(), sin()...". These are mathematical functions.

So sense 1 is the best fit.

provider: Inceptron


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

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

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

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

reasoning_content:
The target word "cos()" appears in the context of MathML and mathematical functions, alongside "sin()", "trigonometric functions", "sum()", and "product()". This clearly refers to the cosine function, which is the ratio of the adjacent side to the hypotenuse of a right-angled triangle.

Sense 1 is "cosine" which is the mathematical function.


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

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

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

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

reasoning_content:
The target is "sin()" in a context about MathML, trigonometric functions like cos(), sin(), sum(), product(). This clearly refers to the mathematical sine function.

Sense 3: ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle | synonyms=sine

This is the correct sense.


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

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

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

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

reasoning_content:
The target word is "other" in the context: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()."

Here, "other" means "not the same ones already mentioned or implied" - i.e., trigonometric functions other than cos() and sin(). This matches sense 1.

Let me verify: "cos(), sin(), any other trigonometric functions" - cos and sin are mentioned, and "other" refers to trigonometric functions not already mentioned. This is sense 1.


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

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

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

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

reasoning_content:
The context is about MathML and mathematical functions like cos(), sin(), trigonometric functions, sum() or product(). The word "sum" here refers to the mathematical operation/function of summation - adding a group of numbers together.

Sense 2: "a quantity obtained by the addition of a group of numbers" with synonyms "amount, total" - this is the mathematical sum operation.

This is clearly the mathematical sense of sum, used as a function (sum()).


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

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

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

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

reasoning_content:
The context is about MathML, mathematical functions like cos(), sin(), sum(), and product(). The word "product" here refers to the mathematical operation of multiplication, which is the product of a sequence of numbers (similar to how sum is the addition of a sequence).

Sense 3 is "a quantity obtained by multiplication" with synonym "mathematical product" and example "the product of 2 and 3 is 6". This is clearly the correct sense.


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

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

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

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

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

The context is about using functions/operators in a programming/math console (kalgebra). The sentence means we can employ or apply these functions (plus(), times(), etc.) for their intended purpose.

Sense 1: "put into service; make work or employ for a particular purpose or for its inherent or natural purpose" - This fits well. We are employing these functions/operators.

Sense 5: "avail oneself to; apply, practice" - This could also fit, as in applying a principle. But the examples are about applying principles or practicing religion, which is more abstract.

Sense 1 seems best because we are putting these functions into service, employing them for a particular purpose (calculating).

The answer is sense 1.