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

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

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

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

raw_output:
```json
{"sense_index": 10}
```

content:
```json
{"sense_index": 10}
```

reasoning_content:
*   Target lemma: `operation`
    *   Target surface form: `operations`
    *   Context: "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..."
    *   Domain: Computer science/Mathematics (specifically talking about a parser, functions, operators, and "kalgebra").

    *   1: state of being in effect (e.g., rule in operation).
    *   2: business (e.g., farming operation).
    *   3: planned activity (e.g., rescue operation).
    *   4: (computer science) data processing specified by a rule/single instruction (e.g., millions of operations per second).
    *   5: military activity.
    *   6: medical procedure (surgery).
    *   7: process/series of acts (practical/mechanical) (e.g., building a house).
    *   8: process or manner of functioning (e.g., engine operation).
    *   9: (psychology) cognitive activity.
    *   10: (mathematics) calculation by mathematical methods (e.g., basic operations of arithmetic).
    *   11: activity of operating something (e.g., operation of a vehicle).

    *   The context mentions "parser", "function", "operator", and "kalgebra".
    *   "Piecewise is the way we can define conditional operations in kalgebra."
    *   In the context of a mathematical library or a programming language (like kalgebra), "operations" usually refers to mathematical operations (addition, multiplication, or custom-defined operators) or computer science data processing operations.
    *   Looking at sense 4 (computer science: data processing specified by a rule) and sense 10 (mathematics: calculation by mathematical methods).
    *   "Conditional operations" in a mathematical/algebraic context (kalgebra) strongly suggests mathematical operations (sense 10) or computational operations (sense 4).
    *   Let's re-read sense 10: "(mathematics) calculation by mathematical methods... basic operations of arithmetic".
    *   Let's re-read 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)".
    *   The context mentions "operator" and "function" just before. In algebra/programming, an operator performs an operation.
    *   "Piecewise condition definition" is a classic mathematical concept (piecewise functions).
    *   Therefore, "conditional operations" here refers to mathematical operations defined piecewise.

    *   Sense 10 is specifically about mathematical calculations.
    *   Sense 4 is about computer science data processing.
    *   While "kalgebra" is likely a software library (computer science), the *nature* of the "operations" being defined (piecewise, conditional) is fundamentally mathematical.
    *   Comparing "basic operations of arithmetic" (Sense 10) with "millions of operations per second" (Sense 4).
    *   The context "define conditional operations in kalgebra" aligns better with the mathematical sense of an operation (like an addition or a custom operator) than the low-level CPU instruction sense of "operation" in sense 4.

    *   Sense 10: (mathematics) calculation by mathematical methods.
    *   Sense 4: (computer science) data processing... result specified by a rule.
    *   In the context of "operators" and "functions" in a library called "kalgebra", these are mathematical operations.

    *   Wait, let me double-check if "operation" in computer science (Sense 4) is a better fit for "conditional operations" in a programming context.
    *   Actually, in most programming language contexts, "operation" is used interchangeably with "mathematical operation" when talking about operators.
    *   Let's look at the examples for Sense 10: "basic operations of arithmetic".
    *   Let's look at the examples for Sense 4: "millions of operations per second".
    *   The context "define conditional operations" sounds more like defining a mathematical operation than a CPU instruction.

    *   Sense 10 is the most precise fit for "operations" in the context of algebra (kalgebra) and operators.


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

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

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

raw_output:
```json
{"sense_index": 6}
```

finish_reason: stop

content:
```json
{"sense_index": 6}
```

role: assistant

reasoning_content:
*   Target lemma: `introduce`
    *   Context: "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..."
    *   Meaning: In this technical context (programming/parsing/mathematical notation), "introduce" means to put, insert, or place a condition in a specific position (before the '?').

    *   Sense 1: cause to come to know personally (social introduction) - No.
    *   Sense 2: bring something new to an environment (innovate) - No.
    *   Sense 3: insert, enclose, inclose, stick in, put in (general insertion) - Possible.
    *   Sense 4: bring in a new person or object into a familiar environment - No.
    *   Sense 5: bring in or establish in a new place or environment (e.g., a rule) - No.
    *   Sense 6: put or introduce into something (insert, infix, enter) - Possible.
    *   Sense 7: bring before the public for the first time - No.
    *   Sense 8: put before (a body) (e.g., legislation) - No.
    *   Sense 9: furnish with a preface or introduction - No.
    *   Sense 10: be a precursor of - No.

    *   Sense 3: "insert, enclose, inclose, stick in, put in" (Example: "Insert your ticket here")
    *   Sense 6: "put or introduce into something" (Synonyms: "insert, infix, enter"; Example: "insert a picture into the text")

    The context is "If we introduce the condition before the?". This is about placing a specific element (the condition) into a specific position in a string or expression.

    Comparing Sense 3 and Sense 6:
    Sense 3 is very general ("insert").
    Sense 6 is also about inserting ("put or introduce into something").

    Let's look at the synonyms again.
    Sense 3: insert, enclose, inclose, stick in, put in.
    Sense 6: insert, infix, enter.

    "Infix" (Sense 6) is particularly relevant to linguistics or computer science (putting something inside another thing), but the context here is "before the ?", which is more like "inserting" or "putting in".

    Wait, let's re-read Sense 3 and 6.
    Sense 3: "introduce" = "insert, enclose, inclose, stick in, put in".
    Sense 6: "introduce" = "put or introduce into something".

    Actually, looking at the WordNet structure (which these senses are derived from), Sense 3 and Sense 6 are very similar. Let's check if there's a nuance.
    Sense 3: "Insert your ticket here" (putting something into a slot).
    Sense 6: "insert a picture into the text" (putting something into a document/stream).

    The context "introduce the condition before the ?" is very similar to "insert a picture into the text". You are inserting a piece of code/syntax into a specific location in a sequence.

    Let's re-evaluate Sense 3 vs Sense 6.
    Sense 3: "insert, enclose, inclose, stick in, put in"
    Sense 6: "put or introduce into something" (synonyms: insert, infix, enter)

    In many WordNet versions, "introduce" as in "insert" is often mapped to a specific sense. Let's look at the examples again.
    Sense 3: "Insert your ticket here"
    Sense 6: "insert a picture into the text"

    The context "introduce the condition before the ?" is about placing a syntax element into a specific position in a formula. This aligns better with Sense 6 (inserting into a text/sequence) than Sense 3 (inserting into a slot/hole).

    Wait, let me double-check Sense 3 again. "insert, enclose, inclose, stick in, put in".
    Sense 6: "put or introduce into something".

    Actually, looking at the provided senses:
    Sense 3: `introduce%2:30:03::`
    Sense 6: `introduce%2:35:00::`

    In the context of programming/syntax, "introducing" a variable or a condition often means "inserting" it into the code.

    Let's look at Sense 6 again: "put or introduce into something" (synonyms: insert, infix, enter). "Infix" is a very strong clue for syntax/programming.

    Let's re-read the context: "If we introduce the condition before the ? it will use this condition only if it is true".
    This means "If we put/insert the condition before the ?".

    Is it Sense 3 or Sense 6?
    Sense 3: "Insert your ticket here" (physical slot)
    Sense 6: "insert a picture into the text" (inserting into a sequence)

    The condition is being inserted into a sequence of characters/tokens. Sense 6 is the better fit.

    Wait, let me check Sense 5: "bring in or establish in a new place or environment" (introduce a rule). Could "introducing a condition" be like "introducing a rule"?
    "If we introduce the condition before the ?"
    No, the "before the ?" part makes it about position/insertion, not about establishing a rule in a system.

    Let's check Sense 3 again. "insert, enclose, inclose, stick in, put in".
    Sense 6: "put or introduce into something".

    Actually, looking at the WordNet sense keys provided:
    30:03 (Sense 3)
    35:00 (Sense 6)

    In many WordNet-based datasets, "introduce" in the sense of "insert" is often 30:03 or 35:00. Let's look at the synonyms again.
    Sense 3: insert, enclose, inclose, stick in, put in.
    Sense 6: insert, infix, enter.

    "Infix" is a very specific term for putting something in the middle of something else (like an infix operator). This fits the context of a parser and conditional operations perfectly.

    Final check:
    Context: "If we introduce the condition before the ?"
    Meaning: Insert the condition at that position.
    Sense 6: "put or introduce into something" (synonyms: insert, infix, enter). Example: "insert a picture into the text".
    This matches the action of inserting a piece of syntax into a string.

currency: USD

source: unavailable


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

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

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

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

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

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

reasoning_content:
*   Target lemma: `use`
    *   Target surface form: `use`
    *   Context: "...If we introduce the condition before the? it will <t>use</t> this condition only if it is true..."
    *   Meaning: In the context of a parser/programming language (kalgebra), the system will "use" (employ/apply/utilize) a condition to determine if it should enter a specific block of code.

    *   Sense 1: `put into service; make work or employ for a particular purpose or for its inherent or natural purpose` (Synonyms: utilize, utilise, apply, employ).
    *   Sense 2: `take or consume (regularly or habitually)` (Synonyms: habituate).
    *   Sense 3: `use up, consume fully` (Synonyms: expend).
    *   Sense 4: `seek or achieve an end by using to one's advantage`.
    *   Sense 5: `avail oneself to` (Synonyms: practice, apply).
    *   Sense 6: `habitually do something (use only in the past tense)`.

    *   The context is about a software parser using a condition.
    *   "Use" here means to employ the condition for the purpose of deciding whether to execute a block.
    *   Sense 1 ("put into service; make work or employ for a particular purpose") fits perfectly.
    *   Sense 2 (drugs/habit) is incorrect.
    *   Sense 3 (consume fully) is incorrect.
    *   Sense 4 (advantage/manipulation) is incorrect.
    *   Sense 5 (practice a religion/principle) is not quite right for a software condition.
    *   Sense 6 (past habit) is incorrect.

    *   Sense 1 is the most general and accurate description of "using" a feature or a condition in a technical/functional context.


[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}.

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

reasoning_content:
*   Target lemma: `true`
    *   Target surface form: `true`
    *   Context: "Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is <t>true</t>, if it finds a? without any condition, it will enter in the last instance."
    *   Domain: Programming/Computer Science (specifically a parser/algebra library called kalgebra).

    *   The sentence discusses "conditional operations" and a "condition".
    *   "it will use this condition only if it is <t>true</t>".
    *   In programming, a condition is evaluated as either `true` or `false`. This refers to the boolean value of truth.

    *   Sense 1: "consistent with fact or reality; not false" (General truth/Boolean truth).
    *   Sense 2: "accurately placed or thrown" (Aim).
    *   Sense 3: "devoted... to a cause" (Faithful).
    *   Sense 4: "expressing or given to expressing the truth" (Truthful statement).
    *   Sense 5: "conforming to definitive criteria" (Typical/Genuine).
    *   Sense 6: "worthy of being depended on" (Trustworthy).
    *   Sense 7: "not pretended; sincerely felt" (Sincere).
    *   Sense 8: "rightly so called" (Real).
    *   Sense 9: "determined with reference to the earth's axis" (Geographic).
    *   Sense 10: "having a legally established claim" (Legitimate).
    *   Sense 11: "in tune; accurate in pitch" (Harmonious).
    *   Sense 12: "accurately fitted; level" (Even).

    *   The context is about a boolean condition in a programming language.
    *   Sense 1 ("consistent with fact or reality; not false") is the standard definition for the boolean value `true`.

    *   Sense 1: "consistent with fact or reality; not false" -> Fits perfectly.
    *   Sense 4: "expressing or given to expressing the truth" -> This refers to a person or a statement being truthful, not a boolean value.


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

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

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

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

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

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

reasoning_content:
*   Target lemma: `find`
    *   Target surface form: `finds`
    *   Context: "...If we introduce the condition before the? it will use this condition only if it is true, if it <t>finds</t> a? without any condition, it will enter in the last instance."
    *   The context describes a parser or a program's logic. Specifically, it's talking about how a system (the "it" referring to the parser or the logic handling piecewise conditions) processes input.
    *   "if it finds a? without any condition" means if the system encounters or detects a specific symbol (the `?`) that lacks a preceding condition.

    *   Sense 1: `come upon, as if by accident; meet with` (happen, chance, bump, encounter).
    *   Sense 2: `discover or determine the existence, presence, or fact of` (detect, observe, discover, notice).
    *   Sense 3: `come upon after searching; find the location of something that was missed or lost` (regain).
    *   Sense 4: `establish after a calculation, investigation, experiment, survey, or study` (determine, find out, ascertain).
    *   Sense 5: `come to believe on the basis of emotion, intuitions, or indefinite grounds` (feel).
    *   Sense 6: `perceive or be contemporaneous with` (witness, see).
    *   Sense 7: `get something or somebody for a specific purpose` (line up, get hold, come up).
    *   Sense 8: `make a discovery, make a new finding` (discover).
    *   Sense 9: `make a discovery` (discover).
    *   Sense 10: `obtain through effort or management`.
    *   Sense 11: `decide on and make a declaration about` (rule).
    *   Sense 12: `receive a specified treatment (abstract)` (receive, get, obtain, incur).
    *   Sense 13: `perceive oneself to be in a certain condition or place`.
    *   Sense 14: `get or find back; recover the use of` (recover, retrieve, regain).
    *   Sense 15: `succeed in reaching; arrive at`.
    *   Sense 16: `accept and make use of one's personality, abilities, and situation`.

    *   The context is about a parser detecting a specific pattern in the input.
    *   "if it finds a? without any condition" $\approx$ "if it detects a '?' without any condition".
    *   Sense 2: `discover or determine the existence, presence, or fact of` (synonyms: detect, observe, discover, notice). This fits perfectly for a parser detecting a character or pattern.
    *   Sense 1: `come upon, as if by accident`. A parser doesn't find things "by accident"; it's scanning.
    *   Sense 3: `come upon after searching; find the location of something that was missed or lost`. The parser isn't looking for something "lost".
    *   Sense 4: `establish after a calculation...`. This is more about a result of a study or math problem.

    *   Sense 2 is the most accurate for "detecting" or "observing" the presence of a character/token during parsing.


[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}.

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

reasoning_content:
*   Target lemma: `instance`
    *   Target surface form: `instance`
    *   Context: A technical description of a parser/language (kalgebra). 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>."
    *   Candidate senses:
        1.  `instance%1:11:00::`: an occurrence of something (synonyms: case, example).
        2.  `instance%1:09:00::`: an item of information that is typical of a class or group (synonyms: example, illustration, representative).

    *   The text describes a "Piecewise condition definition".
    *   It explains how conditions are handled: "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."
    *   In this context, "the last instance" refers to the final case or occurrence of a condition/branch in a piecewise definition (like an `else` block in programming).

    *   Sense 1: "an occurrence of something" (case, example). This fits well. The "last instance" is the last occurrence of a condition block.
    *   Sense 2: "an item of information that is typical of a class or group" (example, illustration). This does not fit. The "last instance" isn't a representative example of a class; it's a specific occurrence in a sequence of conditions.

    *   The word "instance" here means "case" or "occurrence" (the final case in a set of conditions).
    *   Sense 1 matches "case" and "occurrence".


[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}.

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

reasoning_content:
*   Target lemma: `use`
    *   Target surface form: `used`
    *   Context: "It can be <t>used</t> to define a container." (Part of a technical description of MathML containers in kalgebra).
    *   Sentence: "It can be used to define a container."

    *   Sense 1: `put into service; make work or employ for a particular purpose or for its inherent or natural purpose` (Synonyms: utilize, utilise, apply, employ).
    *   Sense 2: `take or consume (regularly or habitually)` (Synonyms: habituate).
    *   Sense 3: `use up, consume fully` (Synonyms: expend).
    *   Sense 4: `seek or achieve an end by using to one's advantage`.
    *   Sense 5: `avail oneself to` (Synonyms: practice, apply).
    *   Sense 6: `habitually do something (use only in the past tense)`.

    *   The context is technical documentation.
    *   "It [the MathML container] can be used to define a container."
    *   This means the container is *employed* or *utilized* for the purpose of defining a container.
    *   This matches Sense 1: "put into service; make work or employ for a particular purpose".

    *   Sense 2 (consume drugs) - No.
    *   Sense 3 (use up/expend) - No.
    *   Sense 4 (use to one's advantage/manipulate) - No.
    *   Sense 5 (practice a religion/principle) - No.
    *   Sense 6 (past habit) - No.

    *   Sense 1 is the clear winner.


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

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

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

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

raw_output:
```json
{"sense_index": 5}
```

content:
```json
{"sense_index": 5}
```

reasoning_content:
*   Target lemma: `define`
    *   Target surface form: `define`
    *   Context: "It can be used to <t>define</t> a container." (Part of a technical description of a language/system called kalgebra, specifically regarding MathML containers and piecewise conditions).
    *   Other occurrences of "define" in the context: "used to define a variable value", "way we can define conditional operations".

    *   Sense 1: `determine the essential quality of` (specify, delineate, delimit).
    *   Sense 2: `give a definition for the meaning of a word` (lexical definition).
    *   Sense 3: `determine the nature of` (e.g., "What defines a good wine?").
    *   Sense 4: `show the form or outline of` (visual delineation).
    *   Sense 5: `decide upon or fix definitely` (synonyms: specify, set, determine, fix, limit; example: "fix the variables").

    *   The context is technical/programming/mathematical.
    *   "define a variable value", "define conditional operations", "define a container".
    *   In programming/math, "defining" a variable or a container means specifying its value, properties, or existence.
    *   Sense 5 ("decide upon or fix definitely", synonyms: "specify", "set", "determine", "fix") fits perfectly with "fix the variables" and "specify the parameters".

    *   Sense 1 is close ("specify"), but Sense 5's example "fix the variables" is a direct match for the technical context of defining variables/containers.
    *   Sense 2 is for words.
    *   Sense 3 is about characteristics.
    *   Sense 4 is about visual outlines.

    *   The target word "define" in "define a container" (and "define a variable value") means to specify or set it up.
    *   Sense 5: "decide upon or fix definitely" (synonyms: specify, set, determine, fix, limit). Example: "fix the variables". This is the standard meaning in a technical/coding context.


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

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

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

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

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

reasoning_content:
*   Target lemma: `useful`
    *   Target surface form: `useful`
    *   Context: "Piecewise condition definition... {}: MathML container. It can be used to define a container. Mainly <t>useful</t> for working with piecewise."
    *   Candidate senses:
        1.  `useful%3:00:00::`: being of use or service (synonym: utile).
        2.  `useful%5:00:00:functional:00`: having a useful function (synonym: utilitarian).

    *   The sentence is: "Mainly useful for working with piecewise."
    *   The subject is a "MathML container".
    *   The context describes a tool or feature (MathML container) that helps the user achieve a goal (working with piecewise).
    *   "Useful" here means that the container is helpful, beneficial, or of use for a specific purpose.

    *   Sense 1: "being of use or service" (general utility, helpfulness).
    *   Sense 2: "having a useful function" (utilitarian, often referring to design or practicality over aesthetics).

    *   The MathML container is "of use" for working with piecewise. It's not being described as "utilitarian" in the sense of being plain or functional rather than decorative. It's simply helpful/beneficial for the task.
    *   Sense 1 is the general sense of "helpful" or "beneficial".
    *   Sense 2 is more specific to "utilitarian" (e.g., a utilitarian building).

    *   Sense 1 fits best.


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

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

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

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

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

reasoning_content:
*   Target lemma: `work`
    *   Target surface form: `working`
    *   Context: "Mainly useful for <t>working</t> with piecewise."
    *   Surrounding context: The text discusses "Piecewise condition definition" in "kalgebra" and the use of "MathML container" to define containers, specifically for "working with piecewise."

    *   1: exert oneself (mental/physical work)
    *   2: be employed
    *   3: have an effect or outcome (e.g., "How does your idea work in practice?")
    *   4: perform as expected (e.g., "The washing machine won't go")
    *   5: shape, form, or improve a material
    *   6: give a workout to
    *   7: proceed along a path
    *   8: operate in a certain place/specialty
    *   9: proceed towards a goal or through an activity (e.g., "work your way through every problem or task")
    *   10: move in an agitated manner
    *   11: cause to happen
    *   12: cause to work (put to work)
    *   13: prepare for crops
    *   14: behave in a certain way when handled
    *   15: have and exert influence
    *   16: operate in or through
    *   17: cause to operate or function
    *   18: provoke or excite
    *   19: gratify and charm
    *   20: make something (shape/form)
    *   21: move into or onto
    *   22: make uniform (knead)
    *   23: use or manipulate to one's advantage
    *   24: find the solution to (solve/figure out)
    *   25: cause to undergo fermentation
    *   26: go sour or spoil
    *   27: arrive at a certain condition through repeated motion

    *   "working with piecewise" in this context means using, manipulating, or dealing with the "piecewise" feature of the software/language (kalgebra).
    *   Looking at the senses:
        *   Sense 1 (exert oneself) is too general.
        *   Sense 9 (proceed through an activity) mentions "work your way through every problem or task." This is close to "dealing with" or "handling."
        *   Sense 24 (find the solution to/understand) is about solving.
        *   Sense 17 (cause to operate or function) is about operating a machine.
        *   Sense 16 (operate in or through) is about "Work the phones."
        *   Sense 23 (use or manipulate to one's advantage) is about exploitation.

    *   Wait, let's re-examine Sense 9: "proceed towards a goal or along a path or through an activity | examples=work your way through every problem or task".
    *   Let's look at Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity".
    *   Actually, "working with [something]" often means "using" or "dealing with" it.
    *   Let's look at the senses again. Is there a "use" or "handle" sense?
    *   Sense 17: "cause to operate or function" (e.g., "work the controls").
    *   Sense 16: "operate in or through" (e.g., "Work the phones").
    *   Sense 9: "proceed... through an activity".
    *   Sense 1: "exert oneself... for a purpose".

    *   "Working with piecewise" means the user is performing tasks involving the piecewise feature.
    *   Sense 9: "proceed... through an activity" (e.g., "work your way through every problem or task"). This fits the idea of performing a set of tasks or dealing with a specific feature.
    *   Let's check if there's a better one.
    *   Sense 1: "exert oneself by doing mental or physical work for a purpose". This is the most general sense of "working."
    *   Sense 24: "find the solution to (a problem or question) or understand the meaning of". Not quite.

    *   "Working with [a tool/feature]" usually means using that tool to achieve something.
    *   Sense 9: "proceed towards a goal or along a path or through an activity".
    *   Sense 1: "exert oneself by doing mental or physical work for a purpose".

    Let's compare:
    "I am working with piecewise" -> I am doing mental work (Sense 1) using piecewise.
    "I am working through the piecewise examples" -> Sense 9.

    Wait, let's look at Sense 1 again. "exert oneself by doing mental or physical work for a purpose". This is very broad.
    Let's look at Sense 9 again. "proceed towards a goal or along a path or through an activity".

    Actually, "working with" is a very common phrasal usage. In many WordNet-based disambiguation tasks, "working with [something]" (meaning using it as a tool or dealing with it) often maps to the general sense of performing work (Sense 1) or sometimes a more specific "manipulate" sense.

    Let's re-read the candidate senses carefully.
    Sense 1: exert oneself by doing mental or physical work for a purpose or out of necessity.
    Sense 9: proceed towards a goal or along a path or through an activity.

    If I say "I'm working with a new software," I'm exerting myself (mental work) for a purpose.
    If I say "I'm working through the manual," I'm proceeding through an activity.

    "Mainly useful for working with piecewise."
    Here, "working with piecewise" means the act of using the piecewise feature to define conditional operations. This is a mental activity performed for a purpose.

    Let's check other senses again.
    Sense 16: "operate in or through" (Work the phones).
    Sense 17: "cause to operate or function" (work the controls).
    Sense 23: "use or manipulate to one's advantage" (exploit).

    Sense 1 seems the most plausible general fit for "working with [a feature/tool]" when no other specific "use" sense is available.

    Wait, let's look at Sense 9 again: "proceed towards a goal or along a path or through an activity | examples=work your way through every problem or task".
    "Working with piecewise" is the activity.

    Let's think about "working with" as "using".
    Is there a "use" sense?
    Sense 23 is "exploit".
    Sense 17 is "cause to operate".
    Sense 16 is "operate in or through".

    Let's reconsider Sense 1. "exert oneself by doing mental or physical work for a purpose".
    If you are "working with piecewise", you are doing mental work for the purpose of defining conditional operations.

    Let's look at Sense 9 again. "proceed... through an activity".
    "Working with piecewise" isn't really "proceeding through" it; it's the activity itself.

    Let's look at Sense 1 again. "exert oneself by doing mental or physical work for a purpose".
    This is the most standard sense for "working with [something]" in the sense of "using [something] to do a job".

    Wait, let me double-check Sense 9's example: "work your way through every problem or task". This is more like "completing" something.

    Let's look at Sense 1 again. "I will work hard to improve my grades".
    "Working with piecewise" -> doing the work associated with using piecewise.

    Is there any other sense?
    Sense 4: "perform as expected when applied" (The washing machine won't go). No.
    Sense 3: "have an effect or outcome" (How does your idea work in practice?). No.

    Let's compare Sense 1 and Sense 9 one more time.
    Sense 1: exert oneself... for a purpose.
    Sense 9: proceed... through an activity.

    "Working with piecewise" = the activity of using piecewise.
    If the activity is "working with piecewise", then "working" is the verb.
    "I am working with piecewise" = I am exerting myself (mental work) for a purpose (defining conditional operations).

    Let's check if "working with" could be Sense 16 "operate in or through". "Work the phones". No, that's different.

    Let's check Sense 17 "cause to operate or function". "Work the controls". No.

    Let's check Sense 23 "use or manipulate to one's advantage". "Work the system". No.

    Sense 1 is the most general and fits the context of performing a task using a tool.

    Wait, let me look at Sense 9 again. "proceed towards a goal or along a path or through an activity".
    If "working with piecewise" is the activity, then "working" is the action of engaging in that activity.

    Let's try to find "work with" in a dictionary.
    Merriam-Webster: "work with" can mean "to employ (something) as a tool or means".
    Which sense here matches "employ as a tool"?
    Sense 1: exert oneself... for a purpose.
    Sense 17: cause to operate or function.
    Sense 16: operate in or through.

    Actually, Sense 1 is the most likely candidate for the general "doing work" sense, which includes using tools.

    Let's re-read Sense 9: "proceed towards a goal or along a path or through an activity".
    Example: "work your way through every problem or task".
    This is more about the *process* of completion.

    Let's re-read Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity".
    Example: "I will work hard to improve my grades".
    This is about the *effort* of doing the work.

    "Mainly useful for working with piecewise."
    This means the MathML container is useful when you are in the process of using piecewise.

    Let's look at Sense 1 again. If you are "working with piecewise", you are doing mental work.

    Is there any other sense?
    Sense 15: "have and exert influence or effect". No.
    Sense 11: "cause to happen". No.

    Let's think about "working with" as "handling" or "manipulating".
    Sense 5: "shape, form, or improve a material". No.
    Sense 22: "make uniform (knead)". No.

    Let's look at Sense 1 again. It's the most general sense of "work" as a verb meaning to engage in physical or mental effort. "Working with piecewise" is a mental effort.

    Wait, let me look at Sense 9 again. "proceed... through an activity".
    If the activity is "using piecewise", then "working with piecewise" is proceeding through that activity.

    Let's compare:
    "I am working with the new software." (Sense 1 - I am doing work using the software)
    "I am working my way through the new software." (Sense 9 - I am learning/proceeding through it)

    The context "Mainly useful for working with piecewise" suggests the general activity of using it, not necessarily "working one's way through" it.

    Therefore, Sense 1 is the best fit.

    Wait, let me double-check Sense 16: "operate in or through". "Work the phones".
    And Sense 17: "cause to operate or function". "Work the controls".
    Neither of these quite fits "working with piecewise".

    Let's look at Sense 1 again. "exert oneself by doing mental or physical work for a purpose".
    This is the most plausible.

    Wait, let me look at Sense 9 one more time. "proceed towards a goal or along a path or through an activity".
    If you are "working with piecewise", you are engaging in the activity of using piecewise.
    But Sense 1 is more fundamental.

    Let's search for "work with" in WordNet.
    In some versions of WordNet, "work with" is listed under the sense of "employ" or "use".
    Looking at the provided senses:
    Sense 1: exert oneself...
    Sense 2: be employed...
    Sense 3: have an effect...
    Sense 4: perform as expected...
    Sense 5: shape, form...
    Sense 6: give a workout...
    Sense 7: proceed along a path...
    Sense 8: operate in a certain place...
    Sense 9: proceed towards a goal...
    Sense 10: move in an agitated manner...
    Sense 11: cause to happen...
    Sense 12: cause to work...
    Sense 13: prepare for crops...
    Sense 14: behave in a certain way...
    Sense 15: have and exert influence...
    Sense 16: operate in or through...
    Sense 17: cause to operate or function...
    Sense 18: provoke or excite...
    Sense 19: gratify and charm...
    Sense 20: make something...
    Sense 21: move into or onto...
    Sense 22: make uniform...
    Sense 23: use or manipulate to one's advantage...
    Sense 24: find the solution to...
    Sense 25: cause to undergo fermentation...
    Sense 26: go sour or spoil...
    Sense 27: arrive at a certain condition...

    If "working with" means "using", and "use" isn't explicitly there, Sense 1 (exerting oneself for a purpose) is the closest, as using a tool is part of the effort.

    Let's re-examine Sense 9: "proceed towards a goal or along a path or through an activity".
    Example: "work your way through every problem or task".
    This is very similar to "working with [a set of tasks/problems]".
    But "piecewise" is a feature, not a task.

    Let's re-examine Sense 1: "exert oneself by doing mental or physical work for a purpose".
    "Working with piecewise" = doing mental work for the purpose of using the piecewise feature.

    Let's consider if it could be Sense 17: "cause to operate or function".
    "Working with piecewise" = causing the piecewise feature to operate? No, that's not what it means.

    Let's consider Sense 16: "operate in or through".
    "Working with piecewise" = operating in or through the piecewise feature? No.

    Let's consider Sense 23: "use or manipulate to one's advantage".
    "Working with piecewise" = manipulating the piecewise feature to one's advantage? A bit too strong ("exploit").

    So, Sense 1 seems the most likely.

    Wait, let me think about "working with" again.
    "I'm working with a team of experts." (Sense 1 - doing work)
    "I'm working with a new set of tools." (Sense 1 - doing work)
    "I'm working with a difficult client." (Sense 1 - doing work)

    In all these cases, "working with" means engaging in the activity of work, and the "with" phrase specifies the tools, people, or materials involved.

    Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity".
    This fits perfectly. The "purpose" is to define conditional operations.

    Let's double-check Sense 9 again just to be sure.
    Sense 9: "proceed towards a goal or along a path or through an activity".
    Example: "work your way through every problem or task".
    This is more about the *progression* through a series of things. "Working with piecewise" is not necessarily a progression.

    Final check of Sense 1.
    Definition: "exert oneself by doing mental or physical work for a purpose or out of necessity"
    Example: "I will work hard to improve my grades"
    Context: "Mainly useful for working with piecewise."
    The user is exerting mental effort to use the piecewise feature for the purpose of defining conditional operations.

    Wait, let me look at Sense 16 again. "operate in or through". Example: "Work the phones".
    "Work the phones" means to use the phones as a means of communication.
    Could "working with piecewise" be "operating through piecewise"?
    No, "work the phones" is a specific idiom. "Working with piecewise" is a more general "using" sense.

    Let's look at Sense 17 again. "cause to operate or function". Example: "This pilot works the controls".
    "Working with piecewise" is not "working the piecewise" (like "working the controls").

    So Sense 1 is the strongest candidate.


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

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

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

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

content:
```json
{"sense_index": 6}
```

reasoning_content:
*   Target lemma: "now"
    *   Target surface form: "Now"
    *   Context: "Piecewise is the way we can define conditional operations in kalgebra... <t>Now</t> you could ask me, why should the user mind about MathML? That s easy."
    *   Candidate senses:
        1.  Historical present (past events).
        2.  In these times (nowadays).
        3.  Preface a command/reproof/request.
        4.  At the present moment.
        5.  Without delay (immediately).
        6.  Prefatory or transitional (change of subject or activity).
        7.  In the immediate past.

    *   The text is explaining a technical concept (Piecewise in kalgebra).
    *   It transitions from explaining how Piecewise works to anticipating a question about MathML.
    *   "Now you could ask me..." is used to introduce a new point or a transition in the explanation.

    *   Sense 1: Not historical present.
    *   Sense 2: Not "nowadays".
    *   Sense 3: Not a command, reproof, or request.
    *   Sense 4: Not specifically "at this exact moment".
    *   Sense 5: Not "immediately".
    *   Sense 6: "(prefatory or transitional) indicates a change of subject or activity". This fits perfectly. The author is transitioning from the mechanics of Piecewise to the justification for MathML.
    *   Sense 7: Not "just now".

    *   The word "Now" here serves as a discourse marker to shift the focus of the explanation. This aligns with sense 6.


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

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

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

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

content:
```json
{"sense_index": 5}
```

reasoning_content:
*   Target lemma: `ask`
    *   Target surface form: `ask`
    *   Context: "Now you could <t>ask</t> me, why should the user mind about MathML?"
    *   Candidate senses:
        1.  `ask%2:32:00::`: inquire about (e.g., "asked about their special")
        2.  `ask%2:32:01::`: make a request or demand for something (e.g., "asked him for a loan")
        3.  `ask%2:32:02::`: direct or put; seek an answer to (e.g., "ask a question")
        4.  `ask%2:32:05::`: consider obligatory; request and expect (e.g., "require our secretary to be on time")
        5.  `ask%2:32:04::`: address a question to and expect an answer from (e.g., "Ask your teacher about trigonometry")
        6.  `ask%2:42:00::`: require as useful, just, or proper (e.g., "success usually requires hard work")
        7.  `ask%2:32:09::`: require or ask for as a price or condition (e.g., "asking $200 for the table")

    *   The sentence is: "Now you could ask me, why should the user mind about MathML?"
    *   The speaker is anticipating a question from the reader/user.
    *   The structure is "ask [person], [question]".

    *   Sense 1: "inquire about" - Usually followed by "about [topic]".
    *   Sense 2: "make a request or demand" - Usually followed by "for [thing]".
    *   Sense 3: "direct or put; seek an answer to" - Usually refers to the question itself ("ask a question").
    *   Sense 4: "consider obligatory" - Not applicable.
    *   Sense 5: "address a question to and expect an answer from" - This fits perfectly. "Ask me [question]". Example: "Ask your teacher about trigonometry".
    *   Sense 6: "require as useful" - Not applicable.
    *   Sense 7: "require as a price" - Not applicable.

    *   Sense 1 (inquire about) vs Sense 5 (address a question to someone).
    *   The context is "ask me, [question]". This is the classic structure for Sense 5. Sense 1 is more about the topic ("ask about the weather"). Sense 3 is about the act of posing the question ("ask a question"). Sense 5 specifically involves the person being asked ("ask me").

    *   Sense 5: "address a question to and expect an answer from".
    *   Context: "ask me, why should the user mind about MathML?"
    *   This matches perfectly.


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

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

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

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

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

reasoning_content:
*   Target lemma: "user"
    *   Target surface form: "user"
    *   Context: "Now you could ask me, why should the <t>user</t> mind about MathML?"
    *   Surrounding context: The text discusses "Piecewise" operations in "kalgebra", "MathML container", and trigonometric functions. It's a technical explanation of a software tool or language.

    *   Sense 1: "a person who makes use of a thing; someone who uses or employs something" (General user, e.g., software user).
    *   Sense 2: "a person who uses something or someone selfishly or unethically" (Exploiter).
    *   Sense 3: "a person who takes drugs" (Drug user).

    *   The context is clearly technical/software-related ("kalgebra", "MathML", "functions like cos(), sin()").
    *   The "user" in this context is the person using the software or language being described.
    *   This fits perfectly with Sense 1.

    *   Sense 1: Fits.
    *   Sense 2: Does not fit (no mention of exploitation).
    *   Sense 3: Does not fit (no mention of drugs).


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

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

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

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

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

reasoning_content:
*   Target lemma: `easy`
    *   Target surface form: `easy`
    *   Context: "Now you could ask me, why should the user mind about MathML? That s <t>easy</t>. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()."
    *   Meaning: The speaker is answering a question ("why should the user mind about MathML?") and says "That's easy," meaning the answer is simple or posing no difficulty to explain/understand.

    *   1: posing no difficulty; requiring little effort (e.g., an easy job; an easy problem)
    *   2: not hurried or forced (unhurried)
    *   3: free from worry or anxiety
    *   4: affording pleasure (pleasing)
    *   5: having little impact (light)
    *   6: readily exploited or tricked (impressionable)
    *   7: in fortunate circumstances financially (rich)
    *   8: marked by moderate steepness (gradual)
    *   9: affording comfort (comfortable)
    *   10: casual and unrestrained in sexual behavior (unchaste)
    *   11: less in demand and therefore readily obtainable (available)
    *   12: obtained with little effort or sacrifice (abundant)

    *   The phrase "That's easy" in response to a question means the answer is simple or the explanation is straightforward. This aligns perfectly with Sense 1: "posing no difficulty; requiring little effort".


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

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

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

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

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

reasoning_content:
*   Target lemma: `function`
    *   Target surface form: `functions`
    *   Context: "...With this, we can operate with <t>functions</t> like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is."
    *   Candidate senses:
        1.  (mathematics) a mathematical relation... (cos, sin, etc.)
        2.  what something is used for (purpose)
        3.  actions/activities assigned to a person (role)
        4.  relation where one thing is dependent on another (height is a function of age)
        5.  formal social gathering
        6.  vaguely specified social event
        7.  set sequence of steps in a computer program (routine/subroutine)

    *   The context explicitly mentions `cos()`, `sin()`, `trigonometric functions`, `sum()`, and `product()`.
    *   These are classic examples of mathematical functions.
    *   While `cos()` and `sin()` are implemented as functions in computer programs (Sense 7), the context specifically calls them "trigonometric functions," which points directly to the mathematical definition.

    *   Sense 1: (mathematics) a mathematical relation... (Fits perfectly).
    *   Sense 7: a set sequence of steps, part of larger computer program... (Possible, but "trigonometric functions" strongly favors the mathematical sense).

    *   The mention of "trigonometric functions" makes Sense 1 the most precise fit.

    *   Sense index: 1.


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

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

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

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

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

reasoning_content:
*   Target lemma: `cos`
    *   Target surface form: `cos()`
    *   Context: "...we can operate with functions like <t>cos()</t>, sin(), any other trigonometric functions, sum () or product ()."
    *   Candidate senses:
        1.  `cos%1:24:00::` (ratio of the adjacent side to the hypotenuse of a right-angled triangle; synonym: cosine)
        2.  `cos%1:13:00::` (lettuce)
        3.  `carbon_monoxide%1:27:00::` (gas)
        4.  `cobalt%1:27:00::` (element)
        5.  `conscientious_objector%1:18:00::` (person)
        6.  `colorado%1:15:00::` (state)

    *   The context explicitly mentions "functions like <t>cos()</t>, sin(), any other trigonometric functions".
    *   `cos()` is a standard notation for the cosine function in mathematics.
    *   Sense 1 defines "ratio of the adjacent side to the hypotenuse of a right-angled triangle" and lists "cosine" as a synonym. This perfectly matches the context of trigonometric functions.

    *   Sense 1: Cosine (Trigonometry) - Matches.
    *   Sense 2: Lettuce - No.
    *   Sense 3: Carbon monoxide - No.
    *   Sense 4: Cobalt - No.
    *   Sense 5: Conscientious objector - No.
    *   Sense 6: Colorado - No.


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

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

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

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

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

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

reasoning_content:
*   Target lemma: `sin`
    *   Target surface form: `sin()`
    *   Context: "...we can operate with functions like cos(), <t>sin()</t>, any other trigonometric functions, sum () or product ()."
    *   Candidate senses:
        1.  estrangement from god
        2.  an act that is regarded by theologians as a transgression of God's will
        3.  ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle (synonym: sine)
        4.  (Akkadian) god of the Moon
        5.  the 21st letter of the Hebrew alphabet
        6.  violent and excited activity

    *   The context explicitly mentions "functions like cos()", "trigonometric functions", and "sum () or product ()".
    *   `sin()` in this context clearly refers to the sine function in mathematics.

    *   Sense 3: "ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle | synonyms=sine". This matches the mathematical sine function.


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

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

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

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

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

reasoning_content:
*   Target lemma: "other"
    *   Target surface form: "other"
    *   Context: "...we can operate with functions like cos(), sin(), any <t>other</t> trigonometric functions, sum () or product ()."
    *   Candidate senses:
        1.  `other%3:00:00::`: not the same one or ones already mentioned or implied.
        2.  `other%5:00:00:past:00`: recently past.
        3.  `other%5:00:02:past:00`: belonging to the distant past.
        4.  `other%5:00:00:strange:00`: very unusual; different in character or quality from the normal or expected.

    *   The sentence mentions "functions like cos(), sin(), any other trigonometric functions".
    *   Here, "other" refers to trigonometric functions that are not `cos()` or `sin()`.
    *   This matches the definition "not the same one or ones already mentioned or implied".

    *   Sense 1: "not the same one or ones already mentioned or implied" -> Fits perfectly.
    *   Sense 2: "recently past" -> Does not fit.
    *   Sense 3: "belonging to the distant past" -> Does not fit.
    *   Sense 4: "very unusual" -> Does not fit.

    *   The best sense is index 1.


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

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

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

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

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

reasoning_content:
*   Target lemma: `sum`
    *   Target surface form: `sum`
    *   Context: "...we can operate with functions like cos(), sin(), any other trigonometric functions, <t>sum</t> () or product ()."
    *   Candidate senses:
        1.  `sum%1:21:00::`: quantity of money.
        2.  `sum%1:09:01::`: quantity obtained by the addition of a group of numbers.
        3.  `sum%1:14:00::`: the final aggregate.
        4.  `sum%1:09:00::`: the choicest or most essential part (gist).
        5.  `sum%1:06:00::`: the whole amount.
        6.  `sum%1:14:01::`: union of sets.

    *   The context mentions "functions like cos(), sin(), any other trigonometric functions, <t>sum</t> () or product ()."
    *   This is clearly referring to mathematical operations/functions.
    *   `sum()` in a mathematical/programming context refers to the operation of adding a group of numbers together.

    *   Sense 1: Money (Incorrect)
    *   Sense 2: "a quantity obtained by the addition of a group of numbers" (Correct - this describes the result of the summation operation).
    *   Sense 3: "the final aggregate" (Too general, often used figuratively).
    *   Sense 4: "the choicest or most essential part" (Incorrect).
    *   Sense 5: "the whole amount" (Too general).
    *   Sense 6: "a set containing all and only the members of two or more given sets" (Union of sets - incorrect).

    *   The context lists `sum()` alongside `cos()`, `sin()`, and `product()`.
    *   `product()` is the result of multiplication.
    *   `sum()` is the result of addition.
    *   Sense 2 specifically defines it as "a quantity obtained by the addition of a group of numbers".

    *   Sense 2 is the most precise fit for a mathematical function that calculates a total.