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

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

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

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

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

 Let me analyze the context:
 - The text is about a programming language or mathematical expression language (kalgebra)
 - It discusses various operators and syntax elements
 - The specific sentence containing "way" is: "Piecewise is the <t>way</t> we can define conditional operations in kalgebra."
 - The context explains that piecewise is a method/mechanism for defining conditional operations

 Now let's look 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
    - This seems to fit well. "Piecewise is the manner/mode/style we can define conditional operations..."
    - This refers to the manner or method of doing something.

 2. sense_key=way%1:04:01:: | definition=how a result is obtained or an end is achieved | synonyms=means, agency
    - This also could fit: "Piecewise is the means by which we can define..."
    - This emphasizes the instrumentality or agency.

 3. sense_key=way%1:15:00:: | definition=a line leading to a place or point | synonyms=direction
    - Doesn't fit - not about physical direction.

 4. sense_key=way%1:26:00:: | definition=the condition of things generally
    - Doesn't fit - not about general conditions.

 5. sense_key=way%1:04:00:: | definition=a course of conduct | synonyms=path, way of life
    - Doesn't fit - not about conduct or life path.

 6. sense_key=way%1:06:00:: | definition=any artifact consisting of a road or path...
    - Doesn't fit - not physical.

 7. sense_key=way%1:04:02:: | definition=a journey or passage
    - Doesn't fit.

 8. sense_key=way%1:23:00:: | definition=space for movement
    - Doesn't fit.

 9. sense_key=way%1:07:02:: | definition=the property of distance in general
    - Doesn't fit.

 10. sense_key=way%1:09:00:: | definition=doing as one pleases or chooses
    - Doesn't fit.

 11. sense_key=way%1:09:01:: | definition=a general category of things...
    - Doesn't fit.

 12. sense_key=way%1:21:00:: | definition=a portion of something divided into shares
    - Doesn't fit.

 So it's between sense 1 and sense 2.

 Sense 1 (way%1:07:01::): "how something is done or how it happens" - manner, mode, style, fashion
 Sense 2 (way%1:04:01::): "how a result is obtained or an end is achieved" - means, agency

 The sentence is: "Piecewise is the way we can define conditional operations in kalgebra."

 This is describing piecewise as a method or manner of defining conditional operations.

 Looking at the examples for sense 1: "her dignified manner; his rapid manner of talking"
 Looking at the examples for sense 2: "a means of control; an example is the best agency of instruction"

 The phrase "the way we can define" suggests a method or manner. However, "way" here is functioning as a means/instrument for achieving the end (defining conditional operations).

 But looking closely at the gloss for sense 1: "how something is done or how it happens"
 And sense 2: "how a result is obtained or an end is achieved"

 In the context, "Piecewise is the way we can define conditional operations" - this is describing the manner/method by which conditional operations are defined.

 Actually, looking at WordNet distinctions:
 - Sense 1 (1:07:01) is about manner, mode (the way something happens or is done)
 - Sense 2 (1:04:01) is about means, agency (a way of achieving an end)

 The phrase "the way we can define" could go either way, but "Piecewise is the way..." where "way" means "method/manner" seems most natural.

 However, looking at the specific examples:
 Sense 1 examples: "her dignified manner; his rapid manner of talking"
 Sense 2 examples: "a means of control; an example is the best agency of instruction"

 The context is technical/documentation style: "Piecewise is the way we can define conditional operations..."

 Actually, looking at the sentence structure again: "Piecewise is the <t>way</t> we can define conditional operations..."

 This is similar to saying "This is the way to do it" or "This is the manner in which we do it."

 But I need to check the WordNet sense keys carefully. The numbers after the % indicate:
 - 1:07:01 - noun.artifact? No, 07 is noun.attribute? Let me recall WordNet lexicographer file numbers:
   - 04: noun.act
   - 07: noun.attribute? No, let me think...

 Actually, the format is way%1:XX:YY:: where:
 - 1 means noun
 - XX is the lexicographer file number
 - YY is the sense number within that file

 Common file numbers:
 - 04: noun.act
 - 07: noun.attribute? No, 07 is noun.cognition? Let me check...

 Actually, looking at the definitions:
 - sense 1:07:01 - "how something is done or how it happens" - this is noun.attribute (07)
 - sense 1:04:01 - "how a result is obtained or an end is achieved" - this is noun.act (04)

 The distinction in WordNet is often subtle. Sense 1 (attribute) focuses on the manner/style, while Sense 2 (act) focuses on the means/agency.

 In the sentence "Piecewise is the way we can define conditional operations", "way" is being used to mean "method" or "means".

 But let's look at the phrase "the way we can define" - this is defining the method/mechanism.

 Actually, looking at similar usage in WordNet examples:
 For sense 1: "her dignified manner; his rapid manner of talking; their nomadic mode of existence; in the characteristic New York style; a lonely way of life"
 For sense 2: "a means of control; an example is the best agency of instruction"

 The phrase "the way we can define" is more like "the means by which we define" or "the method by which we define".

 However, in modern technical writing, "way" in "the way to do something" or "the way we do something" is often sense 1 (manner, mode).

 But wait, looking at the specific context: "Piecewise is the way we can define conditional operations in kalgebra."

 This is saying that piecewise is the mechanism/method available for defining conditional operations.

 Let me reconsider the distinction. In WordNet:
 - way%1:07:01:: manner, mode, style, fashion (how something is done or how it happens)
 - way%1:04:01:: means, agency (how a result is obtained or an end is achieved)

 The key difference is that sense 2 (means, agency) is about achieving a result or end, while sense 1 is about the manner/style of doing something.

 In programming documentation, when we say "X is the way we do Y", we usually mean X is the method/mechanism (sense 1) or the means (sense 2).

 But looking at the examples for sense 2: "a means of control" - this is instrumental.
 Looking at examples for sense 1: "his rapid manner of talking" - this is descriptive of the action itself.

 In "Piecewise is the way we can define conditional operations", the emphasis is on piecewise being the method available for achieving the goal of defining conditional operations. This leans toward sense 2 (means, agency).

 However, "way" in the sense of "manner" or "mode" is also very strong here. "Piecewise is the mode we use..."

 Let me look at the sentence again: "Piecewise is the <t>way</t> we can define conditional operations in kalgebra."

 If I substitute synonyms:
 - Sense 1: "Piecewise is the manner/mode/style we can define..." - a bit awkward but works
 - Sense 2: "Piecewise is the means/agency we can define..." - "agency" is awkward, "means" works well

 Actually, "Piecewise is the means we can define..." is grammatical but less common than "Piecewise is the way we can define..."

 But "Piecewise is the manner we can define..." is less idiomatic. We usually say "the manner in which" not "the manner we".

 "Piecewise is the way we can define..." is very idiomatic.

 In WordNet, sense 1 (1:07:01) is the most common sense for "way" when referring to methods/manners.

 But let me check if there's a specific technical usage here. The text says "Piecewise is the way we can define conditional operations..."

 This is explaining what piecewise is - it's the method/mechanism.

 Actually, looking at the surrounding context:
 - It defines various operators
 - It says "Piecewise is the way we can define conditional operations..."

 This is similar to saying "This is how we define..." or "This is the method for defining..."

 I think sense 1 (manner, mode) is the best fit because:
 1. It's the most common sense for "way" in this type of construction
 2. The definition "how something is done or how it happens" fits - piecewise is how conditional operations are defined
 3. While sense 2 (means) is close, sense 1 captures the "method/manner" aspect better in this context

 Wait, I should look more carefully at the WordNet hierarchy. Actually, looking at standard WSD datasets, "way" in the sense of "method" is usually sense 1 or 2 depending on whether it's emphasizing the manner or the instrumentality.

 In the sentence "Piecewise is the way we can define...", the relative clause "we can define" suggests purpose/achievement, which might favor sense 2.

 But let's look at the phrase "the way" + clause. In many corpora, this maps to sense 1.

 Actually, looking at the specific gloss for sense 1: "how something is done or how it happens"
 And the sentence: "Piecewise is the way [how] we can define conditional operations..."

 This matches sense 1 perfectly - it's about how something is done (defining conditional operations).

 Sense 2 is "how a result is obtained or an end is achieved" - this focuses more on the result/end rather than the action itself.

 In this context, the focus is on the method of defining conditional operations, not specifically on achieving an end result (though defining operations is the goal).

 I think sense 1 is the correct choice.

 But let me double-check by looking at the other senses to make sure I'm not missing something.

 Sense 4: "the condition of things generally" - "that's the way it is" - doesn't fit.
 Sense 11: "a general category of things" - "in the way of" - doesn't fit.

 So it's definitely between 1 and 2.

 Given that the text is describing a feature of a programming language (piecewise) as the method/manner for doing something, and given that sense 1 has synonyms "manner, mode, style, fashion" which fit well with describing a language feature, I choose sense 1.

 However, I recall that in some WordNet versions, "way" meaning "means" (sense 2) is distinct from "way" meaning "manner" (sense 1).

 Let me think about the phrase: "This is the way to do it."
 Is this sense 1 or 2?
 - If it means "This is the manner in which it is done" -> sense 1
 - If it means "This is the means of achieving the result" -> sense 2

 In practice, WordNet often tags "the way to" constructions as sense 1 when it means "method", but sometimes sense 2 when it emphasizes instrumentality.

 But looking at the examples provided:
 Sense 1: "her dignified manner; his rapid manner of talking"
 Sense 2: "a means of control; an example is the best agency of instruction"

 The examples for sense 1 are about the style/character of an action.
 The examples for sense 2 are about instruments/tools for achieving something.

 In "Piecewise is the way we can define conditional operations", piecewise is a language construct that serves as the mechanism (means) for defining conditional operations. This is more like a tool or instrument (sense 2) than a style or manner (sense 1).

 However, "way" is very commonly used in programming documentation to mean "method" (sense 1).

 Let me reconsider the sentence: "Piecewise is the <t>way</t> we can define conditional operations..."

 If I say "Functions are the way we organize code" - is this sense 1 or 2?
 - "Functions are the manner we organize code" - awkward
 - "Functions are the means we organize code" - awkward without "by which"
 - "Functions are the way we organize code" - natural

 But "way" here is equivalent to "method" or "means".

 Actually, looking at WordNet sense 1 again: "how something is done or how it happens"
 This fits: "Piecewise is how we define conditional operations" -> "Piecewise is the way [how] we define..."

 Sense 2: "how a result is obtained or an end is achieved"
 This would be: "Piecewise is how the result of defining conditional operations is achieved" - a bit more convoluted.

 I think sense 1 is correct.

 Wait, I should check if there's any other clue. The word "way" appears in the phrase "the way we can define". This is a defining relative clause.

 In the SemCor corpus and other WSD datasets, "way" in "the way to do something" is usually sense 1 (manner) or sense 2 (means) depending on the specific context.

 But given the synonyms:
 - Sense 1: manner, mode, style, fashion
 - Sense 2: means, agency

 "Piecewise is the mode we can define..." - acceptable
 "Piecewise is the means we can define..." - acceptable but "means by which" is more common

 Actually, looking at the definition of sense 2 again: "how a result is obtained or an end is achieved"
 The "end" here is "defining conditional operations". So piecewise is how that end is achieved. This fits sense 2.

 But sense 1: "how something is done" - defining conditional operations is something done, and piecewise is how it's done. This also fits.

 The distinction is subtle. In WordNet:
 - Sense 1 (1:07:01) is under noun.attribute - it's a characteristic or property of the action
 - Sense 2 (1:04:01) is under noun.act - it's an action or means

 Actually, looking at the lexicographer file numbers:
 - 04 is noun.act
 - 07 is... let me verify. Actually, 07 is noun.attribute? No, I think 07 is noun.cognition or something else.

 Wait, I should look up the WordNet lexicographer file numbers to be sure:
 - 04: noun.act
 - 07: noun.attribute? No, 07 is noun.cognition? Let me think...

 Actually, standard WordNet 3.0 file numbers:
 - 04: noun.act
 - 07: noun.attribute? No, 07 is noun.cognition?
 - 15: noun.location
 - 26: noun.state
 - 06: noun.artifact
 - 23: noun.quantity? No, 23 is noun.relation?
 - 09: noun.cognition?
 - 21: noun.quantity

 Let me reconsider. The numbers in the sense keys are:
 - way%1:07:01:: - 07 is likely noun.attribute or noun.cognition
 - way%1:04:01:: - 04 is noun.act

 Actually, looking at the definitions:
 - 1:07:01 - "how something is done" - this is likely noun.attribute (07)
 - 1:04:01 - "how a result is obtained" - this is noun.act (04)

 But "how something is done" could be noun.act too.

 Actually, checking standard WordNet mappings:
 File 04: noun.act (acts or actions)
 File 07: noun.attribute (attributes of people and objects)

 So sense 1 is an attribute (the manner/style is an attribute of the action), while sense 2 is an act (the means is a type of action or instrument).

 In the context, "way" refers to a method of doing something, which is an act (sense 2), or the manner (sense 1).

 I think given the technical nature and the fact that piecewise is a specific mechanism/means provided by the language, sense 2 might be slightly better. But sense 1 is also very strong.

 However, looking at the sentence structure "the way we can define", this is extremely common with sense 1. For example, "this is the way we do things" is sense 1.

 Let me check if "way" in "the way we can" appears in any WSD corpora...

 Actually, I should make a decision. I believe sense 1 (way%1:07:01::) is the best choice because:
 1. It is the most frequent sense for "way" in general
 2. The context describes the method/manner of defining operations
 3. The synonyms manner, mode, style fit well

 So I'll go with sense index 1.

 Wait, the user asks for the "sense_index". Looking at the candidate list:
 1. sense_key=way%1:07:01::
 2. sense_key=way%1:04:01::
 ...

 So the index is 1.

 But let me reconsider one more time. Is it possible it's sense 11? "a general category of things; used in the expression `in the way of'" - no, that's not it.

 Is it sense 4? "the condition of things generally" - "that's the way it is" - no.

 So it's 1 or 2.

 Given the phrase "the way we can define", and comparing to "the way to do it", I think sense 1 is correct.

 Final decision: sense_index 1.


attempt_kind: initial

status: success

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

[User]
Target lemma: 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}.

finish_reason: stop

role: assistant

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

 Context analysis:
 The text is about a programming/documentation context (kalgebra, parser, functions, operators, variables). The specific sentence is: "Piecewise is the way we can define conditional operations in kalgebra."

 Looking at the surrounding context:
 - ": =: It is used to define a variable value."
 - "?: Piecewise condition definition."
 - "Piecewise is the way we can define conditional operations in kalgebra."

 The meaning here is about establishing, specifying, or setting up what conditional operations are or how they work. It's about determining the nature or establishing the specification of these operations.

 Let's look at the candidate senses:

 1. sense_key=define%2:42:00:: | definition=determine the essential quality of | synonyms=specify, delineate, delimit, delimitate
    - This seems close. "Determine the essential quality" - but in programming, when we "define" a variable or operation, we're setting/specifying what it is.

 2. sense_key=define%2:32:00:: | definition=give a definition for the meaning of a word | examples=Define `sadness'
    - This is about defining words/linguistic meaning. Not applicable here (defining operations in a programming context).

 3. sense_key=define%2:42:01:: | definition=determine the nature of | examples=What defines a good wine?
    - "Determine the nature of" - this could fit. "The way we can define conditional operations" = the way we can determine/specify the nature of conditional operations.

 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
    - This is about visual delineation/outlining. Not applicable.

 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
    - This looks very promising. The example "specify the parameters" is very close to the context. In programming, when you define a variable or operation, you are fixing its value or behavior, setting it, specifying it.
    - The context mentions "define a variable value" and "define conditional operations" - this is about setting/specifying them.

 Comparing sense 1 and sense 5:
 - Sense 1: determine the essential quality of (more about characterizing what something essentially is)
 - Sense 5: decide upon or fix definitely (more about setting/specifying parameters, variables)

 In the context of programming/documentation:
 - "define a variable value" = set/fix the value
 - "define conditional operations" = specify/set up how they work

 The examples for sense 5 include "fix the variables; specify the parameters" which aligns perfectly with the technical context of defining operations and variables in a programming language (kalgebra).

 Sense 3 "determine the nature of" is more about identifying inherent characteristics (like what defines a good wine), whereas sense 5 is about actively setting/fixing specifications, which fits the programming context better.

 Therefore, sense 5 (index 5) seems to be the best choice.

 Wait, let me double-check the indices:
 1. define%2:42:00::
 2. define%2:32:00::
 3. define%2:42:01::
 4. define%2:42:03::
 5. define%2:32:01::

 Yes, index 5 corresponds to "decide upon or fix definitely".

 The context is about specifying how conditional operations work in a programming language, which aligns with "decide upon or fix definitely" and the examples "fix the variables; specify the parameters".

 Actually, looking at sense 1 again: "determine the essential quality of" - this is also plausible. But in programming, "define" is more about declaration/specification (setting what something is) rather than determining its essential philosophical quality.

 Sense 5's examples "fix the variables; specify the parameters" are extremely relevant to the context which talks about defining variables and operations.

 I should choose index 5.

format: unknown

native_finish_reason: stop

provider: Chutes

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: 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 user wants me to perform Word Sense Disambiguation (WSD) for the word "conditional" in a specific context. Let me analyze the context and the candidate senses.

Context analysis:
The text appears to be documentation or help text for a programming language or mathematical software (kalgebra). It discusses:
- 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..."

So here, "conditional" describes "operations" - these are operations that depend on conditions, or contain conditions. It's talking about conditional logic, conditional statements, or operations that are dependent on certain conditions being met.

Candidate senses:
1. sense_key=conditional%5:00:00:qualified:02 | definition=qualified by reservations
   - This seems to be an adjective sense meaning "qualified" or "with reservations" - like "conditional acceptance"
   - The part of speech code 5 usually means adjective satellite in WordNet

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
   - This is adjective sense 3:00:00 (adjective, first sense usually)
   - Definition: imposing or depending on or containing a condition
   - Examples: conditional acceptance, conditional support

Comparing the context:
The context is about programming/mathematical operations that depend on conditions. "Conditional operations" here means operations that contain or depend on conditions (if-then logic).

Sense 2 matches better because:
- It specifically mentions "depending on or containing a condition"
- The context describes operations that depend on conditions (if condition is true, do this...)
- Sense 1 ("qualified by reservations") is more about being restricted or limited in a general sense, not specifically about logical/programmatic conditions.

However, looking at the sense keys:
- conditional%5:00:00:qualified:02 - this is an adjective satellite (5) related to "qualified"
- conditional%3:00:00:: - this is an adjective (3) with no satellite

Wait, let me check WordNet notation:
- 3 = adjective
- 5 = adjective satellite (satellite adjective)

But both could be adjectives. The definitions:
1. "qualified by reservations" - this is like "conditional approval" meaning approval with reservations/caveats
2. "imposing or depending on or containing a condition" - this is the broader logical/grammatical meaning

In the context: "conditional operations in kalgebra" - this refers to operations that depend on conditions (piecewise definitions, if-then-else logic). This aligns with sense 2: "depending on or containing a condition".

Sense 1 is more about being qualified or limited (like "conditional support" = support with reservations).

Therefore, sense 2 (index 2) is the correct choice.

Wait, I need to check the indexing. The user asks for the "sense_index". Looking at the candidates:
- Candidate 1: conditional%5:00:00:qualified:02
- Candidate 2: conditional%3:00:00::

The sense_index should be 2 (referring to the second candidate in the list).

Actually, looking carefully at the format:
- "1. sense_key=..."
- "2. sense_key=..."

So sense_index would be 2.

Let me double-check by looking at the definitions again.

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..."

This describes operations that are contingent upon, depend on, or contain conditions. This matches definition 2 perfectly: "imposing or depending on or containing a condition".

Definition 1 "qualified by reservations" is a metaphorical extension where something is accepted but with reservations/caveats. While related, the technical computing context clearly points to the logical dependency meaning (sense 2).

Therefore: {"sense_index": 2}

provider: DigitalOcean


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

[User]
Target lemma: 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 user wants me to perform Word Sense Disambiguation on the word "operations" in the given context.

Let me analyze the context:
- The text is about a programming language or calculator called "kalgebra"
- It mentions "Piecewise is the way we can define conditional <t>operations</t> in kalgebra"
- The context discusses operators, functions, variables, and conditional logic
- Specifically: "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."

Now let's look at the candidate senses:

1. operation%1:26:00:: - state of being in effect (not relevant)
2. operation%1:04:06:: - business on large scale (not relevant)
3. operation%1:04:03:: - planned activity with many people (not relevant)
4. operation%1:22:00:: - computer science: data processing specified by a rule, especially from a single instruction. Examples: "it can perform millions of operations per second"
5. operation%1:04:02:: - military activity (not relevant)
6. operation%1:04:00:: - medical procedure (not relevant)
7. operation%1:04:05:: - process or series of acts of practical/mechanical nature. Synonyms: procedure. Examples: "the operations in building a house; certain machine tool operations"
8. operation%1:22:01:: - process or manner of functioning (not quite right)
9. operation%1:09:00:: - psychology/cognitive process (not relevant)
10. operation%1:04:01:: - 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. operation%1:04:07:: - activity of operating something like a machine (not quite right)

The context is about a mathematical/programming context (kalgebra). The word "operations" is used in the phrase "conditional operations" in a piecewise definition context.

Between sense 4 (computer science) and sense 10 (mathematics):
- Sense 4 is specifically about computer science data processing where result is specified by a rule, especially from a single instruction.
- Sense 10 is about mathematical calculation methods.

The context mentions "kalgebra" which is a mathematical calculator/application. It talks about "conditional operations" in the context of piecewise definitions. This sounds like mathematical operations.

However, looking closely at sense 4: "(computer science) data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction)" - this seems to fit computing contexts.

But the context is specifically about defining conditional logic in a mathematical expression (piecewise functions). This is more about mathematical operations (calculations) than computer instructions.

Wait, let me reconsider. The text mentions:
- "When the parser finds a function..."
- "it checks if abc is an operator"
- "Piecewise is the way we can define conditional operations in kalgebra"

KAlgebra is actually a mathematical calculator application (part of KDE). It deals with mathematical expressions and operations.

Sense 10: "(mathematics) calculation by mathematical methods" - examples include "basic operations of arithmetic"

Sense 4: "(computer science) data processing..." - examples include "millions of operations per second"

The context is describing how to define piecewise functions using the ? operator. This is about mathematical operations - calculations performed according to rules.

However, looking at the specific phrase: "conditional operations" - in programming/computing contexts, we often talk about conditional operations or operations in terms of instructions.

But let's look at the examples for sense 7: "the operations in building a house; certain machine tool operations" - this is about practical/mechanical procedures.

Sense 10 examples: "they were learning the basic operations of arithmetic"

The context is clearly mathematical/algebraic (kalgebra). The word "operations" here refers to mathematical calculations or computational steps in a mathematical expression.

Actually, looking more carefully at sense 4 vs sense 10:
- Sense 4 is indexed as operation%1:22:00:: (noun.artifact? No, 1:22 is noun.process? Let me check WordNet lexicographer file names... actually the numbers after %1: represent the lexicographer file. 1:04 is noun.act, 1:22 is noun.process? Wait, standard WordNet:
  - 1:04 = noun.act (acts or actions)
  - 1:22 = noun.process (natural processes)
  - 1:26 = noun.state
  - 1:09 = noun.cognition

Actually, looking at the sense keys:
- operation%1:04:01:: = mathematical operation (noun.act)
- operation%1:22:00:: = computer science operation (noun.process?)

Wait, the format is lemma%pos:lexfile:lexid. So:
- 1:04 = noun.act (acts or actions)
- 1:22 = noun.process? Actually in WordNet 3.0:
  - 04 = noun.act
  - 22 = noun.process? No, let me recall:
  - 00 = adj.all
  - 01 = adj.pert
  - 02 = adv.all
  - 03 = noun.Tops
  - 04 = noun.act
  - 05 = noun.animal
  - 06 = noun.artifact
  - 07 = noun.attribute
  - 08 = noun.body
  - 09 = noun.cognition
  - 10 = noun.communication
  - 11 = noun.event
  - 12 = noun.feeling
  - 13 = noun.food
  - 14 = noun.group
  - 15 = noun.location
  - 16 = noun.motive
  - 17 = noun.object
  - 18 = noun.person
  - 19 = noun.phenomenon
  - 20 = noun.plant
  - 21 = noun.possession
  - 22 = noun.process
  - 23 = noun.quantity
  - 24 = noun.relation
  - 25 = noun.shape
  - 26 = noun.state
  - 27 = noun.substance
  - 28 = noun.time
  - 29 = verb.body
  - ...etc

So:
- operation%1:04:01:: = noun.act (mathematical operation)
- operation%1:22:00:: = noun.process (computer science operation)

The context describes a parser checking for operators and functions, and mentions "kalgebra" which is a computer algebra system. The text discusses how to define conditional operations (piecewise definitions).

In computer science and mathematics, "operation" can refer to:
- Mathematical operations (addition, subtraction, etc.) - sense 10
- Computer operations (instructions, processing steps) - sense 4

The phrase "conditional operations" in the context of a parser and piecewise definitions suggests computational steps or mathematical calculations.

However, looking at the specific wording: "Piecewise is the way we can define conditional operations in kalgebra."

KAlgebra is a calculator that handles algebraic expressions. Piecewise functions involve conditional mathematical operations - like "if x > 0 then operation1 else operation2".

Between sense 4 and sense 10:
- Sense 10 is specifically mathematical calculation
- Sense 4 is computer science data processing

Given that KAlgebra is a mathematical application and the context talks about piecewise mathematical definitions, sense 10 (mathematical operation) seems most appropriate.

But wait, the context also mentions "parser", "function", "operator" - these are computer science terms. However, these terms are also used in mathematics.

Let me look at sense 7: "a process or series of acts especially of a practical or mechanical nature involved in a particular form of work" - examples include "machine tool operations". This is too mechanical.

Sense 4 example: "it can perform millions of operations per second" - this is clearly CPU instructions.

Sense 10 example: "they were learning the basic operations of arithmetic" - this is mathematical.

The context is about defining how calculations are performed based on conditions. This is mathematical.

However, there's also sense 11: "the activity of operating something" - not relevant.

Let me reconsider sense 4. The definition says: "(computer science) data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction)"

In the context: "Piecewise is the way we can define conditional operations..."

A piecewise definition specifies different operations based on conditions. Each piece is an operation (calculation).

Actually, looking at the broader context, this seems to be documentation for a programming language or calculator. The mention of "parser", "function", "operator", "variable", and the specific syntax with "?" for piecewise conditions suggests this is about computational operations.

But KAlgebra is specifically a mathematical calculator. The operations being referred to are mathematical operations (like addition, multiplication) that are performed conditionally.

I think sense 10 (mathematical operation) is the best fit. The context is mathematical (algebra), even though it uses computing terminology.

Wait, I should check if there's any other sense that might fit better.

Sense 3: "a planned activity involving many people" - no.

Sense 7: "a process or series of acts especially of a practical or mechanical nature" - could this fit? "the operations in building a house" - this is about steps in a process. Mathematical operations could be seen as steps?

But sense 10 is specifically for mathematics, which is clearly the domain here (kalgebra = algebra).

Sense 4 is computer science. While this is implemented in software, the operations themselves are mathematical.

I think the answer is sense 10 (index 10 in the list provided).

Wait, let me double-check the indexing. The user lists:
1. sense_key=operation%1:26:00::
2. sense_key=operation%1:04:06::
3. sense_key=operation%1:04:03::
4. sense_key=operation%1:22:00::
5. sense_key=operation%1:04:02::
6. sense_key=operation%1:04:00::
7. sense_key=operation%1:04:05::
8. sense_key=operation%1:22:01::
9. sense_key=operation%1:09:00::
10. sense_key=operation%1:04:01::
11. sense_key=operation%1:04:07::

So sense 10 is operation%1:04:01:: (mathematics).

But let me reconsider sense 4 (operation%1:22:00::). The definition mentions "data processing in which the result is completely specified by a rule". In piecewise definitions, the operation is specified by a rule (the condition). And it's computer science.

However, the examples for sense 4 emphasize "millions of operations per second" which suggests low-level CPU operations, not high-level mathematical piecewise definitions.

The examples for sense 10 emphasize "mathematical processes" and "basic operations of arithmetic".

Given that the context explicitly mentions "kalgebra" (a mathematical system) and discusses piecewise definitions (a mathematical concept), and refers to "conditional operations" in the sense of mathematical calculations, I believe sense 10 is correct.

One more check: could it be sense 7 (operation%1:04:05::)? "a process or series of acts especially of a practical or mechanical nature involved in a particular form of work". The examples are "operations in building a house" and "machine tool operations". This seems too physical/mechanical for a software context.

Therefore, I choose sense 10.

Actually, looking at the context once more: "Piecewise is the way we can define conditional <t>operations</t> in kalgebra."

In programming languages, we often talk about "operations" as in "the ternary operator performs a conditional operation". But here, the word "operations" is plural and refers to the actions performed in each branch of the piecewise definition.

Given that KAlgebra is a calculator for algebraic expressions, and piecewise functions are mathematical objects, and the operations are the mathematical calculations defined in each piece, sense 10 (mathematical operation) is the best fit.

Final decision: sense_index: 10

provider: Novita


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

[User]
Target lemma: 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 user wants me to perform Word Sense Disambiguation for the word "introduce" in a specific context.

Context analysis:
The text is about a programming/documentation context (kalgebra, a mathematical expression parser). The specific sentence is: "If we introduce the condition before the? it will use this condition only if it is true..."

Here, "introduce" means to put/insert the condition before the question mark. It's about placing something into a specific location or structure (the syntax/grammar of piecewise conditions).

Let's look at the candidate senses:

1. introduce%2:32:00:: - cause to come to know personally (present, acquaint). Not this. It's not about people meeting.
2. introduce%2:36:00:: - bring something new to an environment (innovate). Not quite. It's not about innovation.
3. introduce%2:30:03:: - introduce (synonyms: insert, enclose, inclose, stick in, put in). Examples: "Insert your ticket here". This seems close - it's about putting something in somewhere.
4. introduce%2:38:00:: - bring in a new person or object into a familiar environment. Not quite, it's not about bringing a person/object into an environment.
5. introduce%2:36:01:: - bring in or establish in a new place or environment (introduce a rule; introduce exotic fruits). This is about establishing something new. The condition isn't necessarily "new" in the innovation sense, but placed/inserted.
6. introduce%2:35:00:: - put or introduce into something (synonyms: insert, infix, enter). Examples: "insert a picture into the text". This is very close. It's about putting something into something else.
7. introduce%2:32:02:: - bring before the public for the first time. No.
8. introduce%2:31:00:: - put before (a body) (introduce legislation). No.
9. introduce%2:32:01:: - furnish with a preface or introduction. No.
10. introduce%2:30:00:: - be a precursor of. No.

Now comparing sense 3 and sense 6:
Sense 3: introduce%2:30:03:: | definition=introduce | synonyms=insert, enclose, inclose, stick in, put in | examples=Insert your ticket here
Sense 6: introduce%2:35:00:: | definition=put or introduce into something | synonyms=insert, infix, enter | examples=insert a picture into the text

Wait, let me look at the WordNet frames more carefully. The verb frames might differ.

Sense 3 (introduce%2:30:03): This is under verb.change? No, 2:30 is verb.change? Actually WordNet lexicographer file names:
- 2:30:00 - verb.change
- 2:35:00 - verb.contact? Let me recall:
  - 2:35 is usually "verb.contact"
  - 2:30 is "verb.change"
  - 2:36 is "verb.creation"
  - 2:38 is "verb.motion"
  - 2:32 is "verb.communication"
  - 2:31 is "verb.cognition"? No, 2:31 is "verb.communication"? Wait.

Actually, the sense keys encode the lexicographer file numbers:
- %2:30:03 - verb.change
- %2:35:00 - verb.contact

Sense 3 definition is just "introduce" (circular) with synonyms insert, enclose, inclose, stick in, put in. Example: "Insert your ticket here". This seems to be the sense used for inserting physical objects into something (like a ticket into a machine).

Sense 6 definition: "put or introduce into something" with synonyms insert, infix, enter. Example: "insert a picture into the text". This also fits.

But wait, in the context: "If we introduce the condition before the?..." - this is about placing a condition before a symbol in a syntax. It's not physical insertion, but textual/syntactic insertion.

Let me reconsider sense 5: "bring in or establish in a new place or environment" - examples: "introduce a rule; introduce exotic fruits". This could fit if we think of introducing a condition into the piecewise syntax. But "before the?" is very specific about location.

Sense 3 vs Sense 6:
Sense 3: introduce, insert, enclose, inclose, stick in, put in. The example "Insert your ticket here" suggests physical insertion into a container/slot.
Sense 6: put or introduce into something; insert, infix, enter. Example: "insert a picture into the text". This is more general about putting something into something else, including abstract/textual contexts.

Actually, looking at WordNet:
- introduce.v.03 (introduce%2:30:03) is "introduce" = insert, enclose... The gloss might be "introduce" (circular). Wait, looking up actual WordNet data:
  - WordNet 3.1 sense 3 of introduce (verb): "introduce" - "insert, enclose, inclose, stick in, put in" - (introduce) "Insert your ticket here"
  - WordNet 3.1 sense 6 of introduce (verb): "insert, infix, enter" - (put or introduce into something) "insert a picture into the text"

But there's also:
- introduce.v.04 (introduce%2:38:00): bring in a new person or object...
- introduce.v.05 (introduce%2:36:01): bring in or establish in a new place or environment...

Wait, the numbering in the prompt doesn't match WordNet's standard numbering necessarily? No, the sense keys are provided.

Let me look at the context again: "If we introduce the condition before the? it will use this condition only if it is true..."

This is about syntax. You put/place the condition before the question mark. It's about inserting a condition into the expression structure.

Sense 6: "put or introduce into something" - synonyms: insert, infix, enter. This seems the most apt because it's about putting something into a structure/text/syntax.

Sense 3: "introduce" with synonyms insert, put in. But the example "Insert your ticket here" is very physical.

Sense 5: "bring in or establish in a new place or environment" - examples: introduce a rule; introduce exotic fruits. This is about establishing something new in a system. But here, the condition isn't necessarily "new" (innovative), it's just being placed in a specific syntactic position.

However, in programming/documentation contexts, "introduce" often means "to add/put in" in the sense of sense 6 or 3.

Let me check if there's a better fit. The phrase "introduce the condition before the?" means "if we place/insert the condition before the ? symbol". This is literally "put into a specific location".

Sense 6 (introduce%2:35:00) is defined as "put or introduce into something". The gloss explicitly mentions "put or introduce". The synonyms are insert, infix, enter. The example is "insert a picture into the text". This is the best match because:
1. It's about putting something into something else (the condition into the expression before the ?)
2. "infix" and "enter" are relevant to text/syntax insertion
3. The example "insert a picture into the text" is analogous to inserting a condition into an expression

Sense 3 (introduce%2:30:03) has "insert, enclose, inclose, stick in, put in". "Stick in" and "enclose" feel more physical.

Sense 5 (introduce%2:36:01) is about establishing in a new place or environment. While "introduce a rule" is close, the specific context here is about syntactic placement "before the?", not establishing a rule in a system.

Therefore, sense 6 seems best.

Wait, let me double-check the WordNet sense keys to make sure I understand the indices correctly. The prompt lists them as:
1. sense_key=introduce%2:32:00::
2. sense_key=introduce%2:36:00::
3. sense_key=introduce%2:30:03::
4. sense_key=introduce%2:38:00::
5. sense_key=introduce%2:36:01::
6. sense_key=introduce%2:35:00::
7. sense_key=introduce%2:32:02::
8. sense_key=introduce%2:31:00::
9. sense_key=introduce%2:32:01::
10. sense_key=introduce%2:30:00::

So sense_index would be 6 (for introduce%2:35:00::).

But let me reconsider sense 3. The definition is simply "introduce" which is unhelpful, but the synonyms are insert, enclose, inclose, stick in, put in. The example "Insert your ticket here" is about placing something somewhere. In some WordNet versions, introduce.v.03 is the sense for "insert" where the direct object is the thing being inserted, and it can be used abstractly.

However, sense 6 (introduce%2:35:00) is specifically "put or introduce into something". The presence of "into" in the definition makes it very suitable because we are putting the condition into the piecewise definition structure, specifically before the ?.

Actually, looking at the sentence: "If we introduce the condition before the?..." - there is no "into" in the immediate context, but there is an implicit insertion into the expression structure.

Let me think about whether sense 5 could be better. "bring in or establish in a new place or environment" with examples "introduce a rule; introduce exotic fruits". In programming, when you "introduce a variable" or "introduce a condition", it often means you are bringing it into existence/scope. But here, the condition already exists conceptually; it's about where to place it syntactically. The text explains syntax: "Piecewise is the way we can define conditional operations... If we introduce the condition before the?..." This is instructing where to put the condition. So it's about insertion/placement.

Between sense 3 and 6:
Sense 3: introduce%2:30:03 - This is likely the sense in verb.change meaning "cause to be inserted".
Sense 6: introduce%2:35:00 - This is verb.contact? No, 2:35 is verb.contact? Actually:
- 2:35:00 is likely "verb.contact" (like touch, hit, etc.)? No, let me recall WordNet lexicographer files:
  - noun.Tops: 3:00
  - noun.act: 3:01
  - ...
  - verb.body: 2:29
  - verb.change: 2:30
  - verb.cognition: 2:31
  - verb.communication: 2:32
  - verb.competition: 2:33
  - verb.consumption: 2:34
  - verb.contact: 2:35
  - verb.creation: 2:36
  - verb.emotion: 2:37
  - verb.motion: 2:38
  - verb.perception: 2:39
  - verb.possession: 2:40
  - verb.social: 2:41
  - verb.stative: 2:42
  - verb.weather: 2:43

So:
- 2:30: verb.change
- 2:35: verb.contact
- 2:36: verb.creation
- 2:38: verb.motion
- 2:32: verb.communication
- 2:31: verb.cognition? Wait, 2:31 might be verb.cognition or verb.communication? Actually:
  - 2:31 is verb.cognition? No, I think 2:31 is "verb.cognition" but the prompt has introduce%2:31:00:: with definition "put before (a body)" which sounds like introducing legislation. That might be verb.social or verb.communication. Let me not rely too much on the lex file names.

Actually, looking at standard WordNet 3.1:
- introduce.v.1: cause to come to know personally (present, acquaint) - 2:32:00
- introduce.v.2: bring something new to an environment (innovate) - 2:36:00
- introduce.v.3: introduce (insert, enclose...) - 2:30:03? Wait, no. Let me check actual WordNet mapping.

Actually, the sense keys provided might not follow the exact order of WordNet's internal numbering. The user has provided 10 candidate senses with their sense keys. I should rely on the definitions, synonyms, and examples provided in the prompt, not my external knowledge of WordNet numbering.

Comparing the provided options:
- Option 3: definition=introduce, synonyms=insert, enclose, inclose, stick in, put in, examples=Insert your ticket here
- Option 6: definition=put or introduce into something, synonyms=insert, infix, enter, examples=insert a picture into the text

The context is about placing a condition before a ? in a piecewise syntax. This is an abstract insertion into a text/code structure. Option 6's example "insert a picture into the text" is very analogous (inserting an element into a text/code structure). Option 3's example "Insert your ticket here" is about inserting a physical object into a machine. Therefore, Option 6 is a better fit for textual/syntactic insertion.

Also, Option 6's definition explicitly says "put or introduce into something", which captures the directional/locational aspect of placing the condition before the ?.

Option 5: "bring in or establish in a new place or environment" - examples: introduce a rule; introduce exotic fruits. This is about establishing something in a system. While "introduce a rule" is somewhat close to "introduce a condition", the context emphasizes the syntactic position "before the?" rather than establishing a new rule in a system. The sentence is explaining syntax/grammar, not legislation or system rules.

Therefore, the best sense is 6.

Wait, I should also consider option 3 again. The gloss is just "introduce" which is unhelpful, but the synonyms include "put in". The example is "Insert your ticket here". In some WSD datasets, this sense is used for inserting things into containers. But our context is inserting a condition into an expression. Option 6 seems more specific about "into something" and has "infix" and "enter" which are more abstract.

Actually, looking at the prompt's option 3: "definition=introduce" - this is circular. Option 6: "definition=put or introduce into something". The fact that option 6's definition explicitly mentions "introduce" suggests that in WordNet, "introduce" in this sense is synonymous with "put into". This is exactly the meaning here.

So I'll go with sense_index 6.

One final check: Could it be sense 5 (introduce%2:36:01)? "bring in or establish in a new place or environment". The example "introduce a rule" is very close to "introduce a condition". In fact, a "condition" in programming is similar to a "rule". However, the specific context "before the?" makes it about placement/insertion rather than establishment. If the sentence were "We introduce a condition to handle errors", sense 5 might fit. But "introduce the condition before the?" is about syntactic positioning.

Also, sense 6's synonyms "infix, enter" are particularly relevant to text and code. "Enter" is what you do with text. "Infix" means to insert into the middle of something (like a text). This strongly supports sense 6.

Final answer: {"sense_index": 6}

provider: SiliconFlow


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

[User]
Target lemma: 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 user wants me to perform Word Sense Disambiguation for the word "use" in a specific context.

 Context analysis:
 The text is about a parser for a programming language (kalgebra). It describes how the parser handles different symbols and constructs.
 The specific sentence is: "If we introduce the condition before the? it will <t>use</t> this condition only if it is true, if it finds a? without any condition, it will enter in the last instance."

 The meaning here is about employing or utilizing the condition for a particular purpose (checking if it's true). It's about putting the condition into service.

 Let's look at the candidate senses:

 1. sense_key=use%2:34:01:: | definition=put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
 - This seems to fit. The parser will "put into service" or "employ" the condition for the purpose of checking if it's true.

 2. sense_key=use%2:34:02:: | definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
 - This is about habitual consumption, not relevant here.

 3. sense_key=use%2:34:00:: | definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
 - This is about exhausting resources, not relevant.

 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
 - This implies exploiting or taking advantage of something/someone for personal gain. The context here is technical/neutral, not about exploiting an advantage.

 5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
 - This is about making use of something for oneself, often in the sense of following or adhering to something. Close, but sense 1 seems more direct for "employ for a particular purpose."

 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...
 - This is the "used to" construction, clearly not applicable here (present tense "will use").

 Comparing sense 1 and sense 5:
 Sense 1: "put into service; make work or employ for a particular purpose"
 Sense 5: "avail oneself to; practice, apply"

 The context is about a parser employing a condition for evaluation. It's putting the condition into service for the specific purpose of determining truth value. This aligns perfectly with sense 1 (put into service, employ for a particular purpose).

 Sense 5 is more about personal adoption or practice (practice a religion, apply a principle to one's own behavior). The technical context of a parser using a condition is better captured by the general "employ/utilize" meaning of sense 1.

 Therefore, the best sense is sense 1 (index 1).

 Wait, I need to check the indexing. The user lists:
 1. sense_key=use%2:34:01::
 2. sense_key=use%2:34:02::
 3. sense_key=use%2:34:00::
 4. sense_key=use%2:41:14::
 5. sense_key=use%2:41:04::
 6. sense_key=use%2:41:03::

 So the index to return should be 1.

 Let me double-check the context once more: "it will use this condition only if it is true"
 - The parser will utilize/employ this condition...
 - It's about employing something for a function (checking truth).

 Yes, sense 1 is correct.

 The output format should be: {"sense_index": 1}

provider: Phala


[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 user wants me to perform Word Sense Disambiguation for the word "true" in the given context.

Context analysis:
The text is about a programming language or mathematical expression parser (kalgebra). It discusses:
- Function parsing
- Operators vs user functions
- Variable definition with :=
- Piecewise condition definition with ?:
- The specific sentence: "If we introduce the condition before the? it will use this condition only if it is <t>true</t>, if it finds a? without any condition, it will enter in the last instance."

Here, "true" is used in a boolean/logical sense - referring to a condition being satisfied or having a truth value of true (as opposed to false). This is a programming/mathematical context where conditions evaluate to true or false.

Looking at the 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
- This is the most general sense of "true" meaning not false, consistent with fact. In programming contexts, boolean "true" typically maps to this sense - the truth value that indicates a proposition or condition holds.

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
- This is about physical accuracy/aim. Not relevant here.

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
- This is about being a "true believer" - faithful/devoted. Not relevant.

4. sense_key=true%3:00:04:: | definition=expressing or given to expressing the truth | synonyms=truthful | examples=a true statement; gave truthful testimony
- This is about being truthful (of a person or statement). While related, in programming "true" refers to the truth value, not necessarily the quality of being truthful.

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
- This is about being a "true" example of a category (authentic). Not relevant.

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
- About reliability. Not relevant.

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
- About sincerity. Not relevant.

8. sense_key=true%5:00:00:real:02 | definition=rightly so called | examples=true courage; a true spirit which true men have always admired
- About being genuine/real. Not relevant.

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
- Specific to navigation. Not relevant.

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
- About legal legitimacy. Not relevant.

11. sense_key=true%5:00:00:harmonious:00 | definition=in tune; accurate in pitch | synonyms=on-key | examples=a true note
- About musical pitch. Not relevant.

12. sense_key=true%5:00:00:even:01 | definition=accurately fitted; level | synonyms=straight | examples=the window frame isn't quite true
- About being level/straight. Not relevant.

Sense 1 is clearly the best fit. In programming and logic, "true" is the boolean value indicating that a condition holds, consistent with fact/reality (in the logical/model sense), not false. The example "it is undesirable to believe a proposition when there is no ground whatever for supposing it true" also aligns with the logical/propositional use.

The context specifically mentions "if it is true" referring to a condition being satisfied - this is the boolean/logical sense which corresponds to sense 1.

Therefore, the answer should be sense_index: 1.

provider: AtlasCloud


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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation (WSD) for the target word "finds" (lemma: find) in the given context.

 Let me analyze the context:
 - The text is about a parser in a programming/mathematical context (kalgebra).
 - The sentence is: "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."
 - This is describing how a parser works - when it encounters/comes across/detects a "?" without any condition, it behaves in a certain way.

 Looking at the candidate senses:

 1. sense_key=find%2:40:02:: - "come upon, as if by accident; meet with" - synonyms: happen, chance, bump, encounter
    - This implies accidental discovery, which doesn't fit the systematic parser behavior.

 2. sense_key=find%2:39:02:: - "discover or determine the existence, presence, or fact of" - synonyms: detect, observe, discover, notice
    - This fits well. The parser detects or discovers the presence of a "?" without a condition. This is about perceiving/identifying something exists.

 3. sense_key=find%2:40:00:: - "come upon after searching; find the location of something that was missed or lost" - synonyms: regain
    - This implies searching for something lost, which doesn't fit.

 4. sense_key=find%2:32:00:: - "establish after a calculation, investigation, experiment, survey, or study" - synonyms: determine, find out, ascertain
    - This is about establishing facts through investigation. While the parser does process, it's more about detecting/encountering the symbol than establishing a fact through calculation.

 5. sense_key=find%2:31:10:: - "come to believe on the basis of emotion, intuitions, or indefinite grounds" - synonyms: feel
    - Not relevant to a parser.

 6. sense_key=find%2:39:01:: - "perceive or be contemporaneous with" - synonyms: witness, see
    - This could work - the parser perceives/sees the "?".

 7. sense_key=find%2:40:01:: - "get something or somebody for a specific purpose" - synonyms: line up, get hold, come up
    - Not relevant.

 8. sense_key=find%2:36:00:: - "make a discovery, make a new finding" - synonyms: discover
    - This is about making new discoveries, not about a parser encountering syntax.

 9. sense_key=find%2:31:09:: - "make a discovery" - synonyms: discover
    - Similar to above.

 10. sense_key=find%2:40:03:: - "obtain through effort or management"
    - Not relevant.

 11. sense_key=find%2:32:01:: - "decide on and make a declaration about" - synonyms: rule
    - Not relevant (legal/judicial sense).

 12. sense_key=find%2:30:00:: - "receive a specified treatment (abstract)"
    - Not relevant.

 13. sense_key=find%2:39:05:: - "perceive oneself to be in a certain condition or place"
    - Reflexive usage, not relevant.

 14. sense_key=find%2:40:15:: - "get or find back; recover the use of" - synonyms: recover, retrieve, regain
    - Not relevant.

 15. sense_key=find%2:38:10:: - "succeed in reaching; arrive at"
    - Not relevant.

 16. sense_key=find%2:30:13:: - "accept and make use of one's personality, abilities, and situation"
    - Not relevant.

 Now comparing sense 2 and sense 6, which seem most relevant:

 Sense 2: "discover or determine the existence, presence, or fact of" - detect, observe, discover, notice
 Sense 6: "perceive or be contemporaneous with" - witness, see

 The context is about a parser encountering/detecting a specific character ("?") in the code. This is about detecting the presence of something.

 Sense 2 (find%2:39:02::) is the "detect" sense - this is commonly used in computing contexts when a program finds/detects a pattern, error, or specific token.

 Sense 6 (find%2:39:02:: wait, let me check the sense keys again...)

 Actually, looking at the sense keys:
 - Sense 2: find%2:39:02::
 - Sense 6: find%2:39:01::

 Both are in the perception/verb.cognition or verb.perception category (the second number is the lexicographer file number).

 Sense 2 (39:02) is about discovering/determining existence (detect, observe, discover, notice).
 Sense 6 (39:01) is about perceiving/witnessing (witness, see).

 In computational contexts, when we say "the parser finds X", we usually mean it detects or identifies the existence of X. This aligns with sense 2.

 Also, looking at the example for sense 2: "She detected high levels of lead in her drinking water; We found traces of lead in the paint" - this is about detecting/identifying the presence of something.

 The context: "if it finds a? without any condition" - the parser is detecting the presence of a "?" character without a condition.

 This matches sense 2 best: "discover or determine the existence, presence, or fact of".

 Wait, let me reconsider sense 1: "come upon, as if by accident; meet with" - this is also possible, as in "encounter". But sense 2 is more specific to detecting existence, which fits a parser's operation better.

 Actually, looking at WordNet structure:
 - find%2:40:02:: is verb.contact (come upon accidentally)
 - find%2:39:02:: is verb.perception (detect, observe)

 In programming contexts, "find" usually maps to the "detect/notice" sense (sense 2) rather than the "come upon by chance" sense (sense 1).

 The examples for sense 2 include "We found traces of lead" - finding traces is similar to finding a character/token in parsing.

 Also, sense 3 is about finding lost items (glasses, gloves), which is different.

 So I believe sense 2 (index 2) is the correct choice.

 Wait, I need to check the indexing. The user lists:
 1. sense_key=find%2:40:02::
 2. sense_key=find%2:39:02::
 3. sense_key=find%2:40:00::
 ...

 So sense 2 is find%2:39:02:: (discover or determine the existence...).

 But let me double-check if there's any other sense that might fit better.

 Sense 4: "establish after a calculation..." - this is about determining a value or result, not about encountering a token.

 Sense 15: "succeed in reaching; arrive at" - "The arrow found its mark" - this could metaphorically apply, but sense 2 is more direct for detection.

 In the context of parsing, when we say the parser "finds" a token, we mean it identifies or detects it. This is sense 2.

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

provider: ModelRun


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

Context analysis:
The text is about a parser for a programming language (kalgebra). It discusses how the parser handles functions, operators, variables, and piecewise conditions. The specific sentence is: "If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last <t>instance</t>."

Here, "instance" refers to a specific occurrence or case in the piecewise definition. When there's no condition before the "?", it enters the "last instance" - meaning the last occurrence or case.

Looking at the candidate senses:

1. sense_key=instance%1:11:00:: | definition=an occurrence of something | synonyms=case, example | examples=it was a case of bad judgment; another instance occurred yesterday

2. sense_key=instance%1:09:00:: | definition=an item of information that is typical of a class or group | synonyms=example, illustration, representative | examples=this patient provides a typical example of the syndrome; there is an example on page 10

Sense 1 refers to an occurrence of something - a specific case or happening. This fits the context where "last instance" means the last occurrence or case in the piecewise definition.

Sense 2 refers to an example or illustration that is typical of a class - this is more about exemplification or representation, which doesn't fit as well here. The context isn't talking about an example of a class, but rather a specific occurrence/case in the flow of execution.

The phrase "enter in the last instance" suggests entering the last occurrence or case, which aligns with sense 1 (an occurrence of something).

Also, looking at the synonyms: "case" is a synonym for sense 1, and "last case" would make sense in this programming context (referring to the default case or final case in a piecewise/switch-like structure).

Therefore, sense 1 is the best fit.

The user wants the output as: {"sense_index": 1}

provider: DeepInfra


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

[User]
Target lemma: 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 user wants me to perform Word Sense Disambiguation for the word "used" in the given context.

 Context analysis:
 The text is about programming/documentation for "kalgebra" (a mathematical software). The target word "used" appears in: "It can be <t>used</t> to define a container."

 Looking at the surrounding context:
 - "It is used to define a variable value."
 - "It can be used to define a container."
 - "Mainly useful for working with piecewise."

 This is describing the functionality or purpose of certain symbols/operators (like `{}`) in the software. The meaning is about employing something for a particular purpose or function.

 Candidate sense analysis:

 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

 This seems to fit best. The context is about employing the `{}` symbol for the purpose of defining a container. It's about putting something into service for a particular purpose.

 2. sense_key=use%2:34:02:: | definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely

 This implies habitual consumption, which doesn't fit the technical documentation context.

 3. sense_key=use%2:34:00:: | definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions

 This means to exhaust or deplete, which doesn't fit.

 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

 This implies exploiting or taking advantage of something/someone for personal gain. Not applicable to technical documentation about software features.

 5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion

 This is about making use of something for oneself, often in the sense of practicing or following. While close, sense 1 is more about the general purpose/function of an object/tool, which fits better here.

 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

 This is specifically for "used to" indicating past habitual actions. The target is "used" but not in the "used to" construction. The context is "can be used to define", which is passive voice of "use" meaning employ/utilize.

 Therefore, sense 1 is the correct choice.

 Wait, let me double-check the sense indices. The user lists them as:
 1. sense_key=use%2:34:01::
 2. sense_key=use%2:34:02::
 3. sense_key=use%2:34:00::
 4. sense_key=use%2:41:14::
 5. sense_key=use%2:41:04::
 6. sense_key=use%2:41:03::

 So I need to return {"sense_index": 1}

 Let me verify the WordNet sense ordering. In WordNet, the senses are ordered by frequency. The most common sense of "use" as a verb is indeed "put into service" or "employ". The second sense is often "habitually use" or "consume".

 Actually, looking at the sense keys:
 - use%2:34:01:: is the first sense listed (index 1 in the candidate list)
 - use%2:34:00:: is the third sense listed (index 3 in the candidate list)

 The context "It can be used to define a container" clearly means "It can be employed/utilized to define a container." This matches sense 1 perfectly.

 Sense 5 (avail oneself to) is close but usually implies personal adoption or practice (like practicing a religion), whereas sense 1 is about the general functional application of an object or tool, which fits the technical documentation context better.

 The answer should be {"sense_index": 1}.