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

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

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

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

raw_output:
To determine the best indexed sense for the target word "introduce" in the given context, let's analyze the context and the provided candidate senses.

The context is about defining conditional operations in a system called "kalgebra" and how introducing a condition before a certain operator affects its usage. The sentence specifically mentions, "If we introduce the condition before the? it will use this condition only if it is true..."

Let's examine the candidate senses:

1. Cause to come to know personally - This involves introducing people, not relevant here.
2. Bring something new to an environment - This could be a possibility as it involves bringing in something new.
3. Insert, enclose, inclose, stick in, put in - This involves putting something into something else, which could be relevant.
4. Bring in a new person or object into a familiar environment - This is more about introducing a new entity into an existing setting, not directly relevant.
5. Bring in or establish in a new place or environment - This involves establishing something new in a new context.
6. Put or introduce into something - This is a broad definition that involves inserting or putting something into another thing.
7. Bring before the public for the first time - This is about debuting something or someone, not relevant here.
8. Put before (a body) - This is more formal or legislative, not directly relevant.
9. Furnish with a preface or introduction - This involves adding an introductory section, not relevant.
10. Be a precursor of - This is about something preceding and signaling the start of something else, not directly relevant.

Given the context, the action of "introduce" is related to putting or inserting a condition before a certain operator ("?"). The most relevant definitions are those that involve inserting or putting something into something else.

Senses 3, 6 involve "insert" or "put in," which are relevant. However, sense 6 ("put or introduce into something") is broader and directly related to the action described in the context, where a condition is being introduced or put before an operator.

Therefore, the best sense for "introduce" in this context is related to putting or introducing something into something else, which aligns with sense 6.

{"sense_index": 6}


attempt_kind: initial

status: success

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

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

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

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

raw_output:
To determine the best indexed sense for the target word "use" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about explaining how certain syntax elements are treated or utilized in a specific programming or mathematical context, specifically within "kalgebra." The target sentence mentions that if a condition is introduced before the "?", it will "use" this condition only if it is true.

2. **Understanding the Target Word's Context**: The word "use" here refers to the act of employing or utilizing something (in this case, a condition) for a particular purpose.

3. **Examining Candidate Senses**:
   - **1. put into service; make work or employ for a particular purpose or for its inherent or natural purpose**: This definition aligns with utilizing something for a specific task or its intended purpose. The synonyms (utilize, utilise, apply, employ) and examples ("use your head!"; "we only use Spanish at home") support this interpretation.
   - **2. take or consume (regularly or habitually)**: This involves habitual consumption, which doesn't directly relate to the context of utilizing a condition in a programming or mathematical operation.
   - **3. use up, consume fully**: This implies exhausting or completely consuming something, which doesn't fit the context of using a condition.
   - **4. seek or achieve an end by using to one's advantage**: This involves exploiting something for personal gain, not directly related to the context.
   - **5. avail oneself to**: This means to make use of something or to take advantage of it, which is somewhat related but is more about taking advantage rather than simply employing.
   - **6. habitually do something (use only in the past tense)**: This is about a past habitual action, not relevant to the context.

4. **Choosing the Best Indexed Sense**: The context indicates that "use" refers to employing a condition for a particular purpose (i.e., if it is true). The most fitting definition is **1. put into service; make work or employ for a particular purpose or for its inherent or natural purpose**. This corresponds to the first candidate sense.

Therefore, the best indexed sense for "use" in the given context is the first one.

{"sense_index": 1}

finish_reason: stop

role: assistant

currency: USD

source: unavailable


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "true" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about a parser and how it treats certain elements based on conditions. Specifically, it mentions that if a condition is introduced before the "?" and it is "true", it will use this condition. This implies a boolean or logical condition being evaluated.

2. **Understanding the Target Word**: The word "true" is used in the context of a condition being met or not. This usage is related to boolean logic, where "true" is one of the two possible boolean values (the other being "false").

3. **Examining Candidate Senses**:
   - **1. consistent with fact or reality; not false**: This sense aligns with the boolean interpretation where "true" indicates a condition or statement that corresponds to fact or reality.
   - Other senses relate to various meanings such as accuracy, faithfulness, truthfulness, typicality, trustworthiness, sincerity, realness, geographic reference, legitimacy, harmony, and evenness.

4. **Relating Candidate Senses to the Context**: The context is about conditional operations in a programming or parsing context. The use of "true" here directly relates to a boolean value indicating that a condition is met.

5. **Choosing the Best Indexed Sense**:
   - The most relevant sense in this context is the one that relates to the concept of being "consistent with fact or reality; not false" because it directly corresponds to the boolean logic interpretation. This is the first sense listed.

6. **Returning the Answer**: Based on the analysis, the best indexed sense for "true" in the given context is the first one.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "finds" in the given context, let's analyze the provided information step by step.

1. **Context Understanding**: The context is about a parser in a programming or mathematical context, specifically dealing with how it handles certain operations or definitions in "kalgebra." The parser's behavior when encountering functions or conditional operations is described.

2. **Target Word Analysis**: The target word is "finds," which is a form of the verb "find." The task is to identify the correct sense of "find" as used in the context.

3. **Candidate Senses Analysis**:
   - The provided candidate senses cover a range of meanings for "find," from discovering or detecting something to more abstract uses like perceiving or deciding.
   - The relevant senses to consider are those that could plausibly fit the context of a parser analyzing or processing code or expressions.

4. **Contextual Clues**:
   - The parser "finds a function" and checks if it's an operator.
   - It "finds a?" (presumably a conditional or a specific symbol) without any condition and acts accordingly.
   - These clues suggest that "finds" is related to the parser's action of detecting or identifying elements within the code or expressions it is processing.

5. **Matching the Context to Candidate Senses**:
   - Senses related to discovering, detecting, or identifying something (like senses 2, 3, 8) seem relevant.
   - Sense 2 ("discover or determine the existence, presence, or fact of") and its synonyms ("detect, observe, discover, notice") closely match the action of a parser identifying elements in code.

6. **Choosing the Best Indexed Sense**:
   - Given the context, the most appropriate sense is one where "finds" means to detect or identify something, which aligns with sense 2.

7. **Conclusion**:
   - The best indexed sense for "finds" in the given context is **2**.

The final answer is: {"sense_index": 2}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "instance" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about explaining the usage of certain syntax or elements in a programming or markup language related to "kalgebra." The specific sentence mentioning "instance" is: "if it finds a? without any condition, it will enter in the last <t>instance</t>." This implies that "instance" refers to an occurrence or a specific case of something (in this case, likely a condition or a piece of code being executed).

2. **Candidate Senses Analysis**:
   - **Sense 1**: "an occurrence of something" with synonyms "case, example." The example given is "it was a case of bad judgment; another instance occurred yesterday." This sense aligns with the idea of something happening or being encountered.
   - **Sense 2**: "an item of information that is typical of a class or group" with synonyms "example, illustration, representative." The examples provided are "this patient provides a typical example of the syndrome; there is an example on page 10." This sense is more about representing a category or type.

3. **Applying Context to Candidate Senses**:
   - The context suggests that "instance" is being used to denote a specific occurrence or case, particularly in the context of executing or encountering a certain condition or piece of code ("the last instance").
   - Sense 1 directly refers to "an occurrence of something," which fits the context of encountering or executing a specific piece of code or condition.
   - Sense 2 is more about being representative of a class or group, which doesn't directly fit the context provided.

4. **Decision**:
   - Given the context and the definitions, **Sense 1** ("an occurrence of something") is the most appropriate. It aligns with the usage of "instance" to denote a specific occurrence or case.

5. **Response**:
   - The best indexed sense for "instance" in the given context is Sense 1.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "used" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about defining a variable value and explaining how "Piecewise" is used in "kalgebra" for conditional operations. It also talks about a MathML container and its utility.

2. **Target Surface Form**: The word "used" appears in the context, indicating a past tense or past participle usage related to the lemma "use".

3. **Candidate Senses**:
   - **1. put into service; make work or employ for a particular purpose or for its inherent or natural purpose**: This involves utilizing something for its intended or inherent purpose. The synonyms are "utilize", "utilise", "apply", and "employ". The example given is "use your head!"; "we only use Spanish at home". This sense fits well with the context of using something (like a feature or a tool) for a particular purpose.
   - **2. take or consume (regularly or habitually)**: This involves consuming or taking something regularly. The synonym is "habituate", and an example is "She uses drugs rarely". This doesn't directly relate to the context provided.
   - **3. use up, consume fully**: This means to exhaust or completely consume something. The synonym is "expend", with an example being "The legislature expended its time on school questions". While related to "use", it implies a completion or depletion, which isn't directly relevant to the context.
   - **4. seek or achieve an end by using to one's advantage**: This involves leveraging something to achieve a goal. An example is "She uses her influential friends to get jobs". The context doesn't directly imply using something to one's advantage in this manner.
   - **5. avail oneself to**: This means to make use of something or to put something into practice. The synonyms are "practice" and "apply", with examples like "apply a principle; practice a religion". This sense is about utilizing or applying something, which aligns with the context of using a tool or feature for a particular purpose.
   - **6. habitually do something (use only in the past tense)**: This is about doing something regularly in the past but not necessarily now. An example is "She used to call her mother every week but now she calls only occasionally". This sense is specific to habitual actions in the past and doesn't fit the context of explaining how something is utilized.

4. **Choosing the Best Indexed Sense**:
   - The context revolves around explaining how certain elements (like "Piecewise" and "MathML container") are utilized or used for specific purposes in "kalgebra".
   - Both senses 1 and 5 relate to utilizing or applying something for a particular purpose. Sense 1 directly mentions "put into service; make work or employ for a particular purpose or for its inherent or natural purpose", which closely aligns with the context of using "Piecewise" and "MathML container" for their intended purposes.
   - The examples and synonyms for sense 1 ("utilize", "utilise", "apply", "employ") support the interpretation that it is about employing something for its intended purpose, fitting the context.

Given the context and the explanations, the most appropriate sense is **1**, as it directly relates to using something for its intended purpose, which is what the context is about.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "define" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about using "define" in relation to mathematical or logical operations, specifically in defining a variable value, conditional operations, and a container in MathML.

2. **Candidate Senses Analysis**:
   - **Sense 1**: "determine the essential quality of" with synonyms like specify, delineate, delimit. This sense is related to specifying or delineating something, which could apply to defining a variable or a condition.
   - **Sense 2**: "give a definition for the meaning of a word". This is more about defining the meaning of words, which doesn't directly relate to the context provided.
   - **Sense 3**: "determine the nature of" with examples like "What defines a good wine?". This involves understanding or characterizing something, which is somewhat relevant but not directly related to the operational or technical context given.
   - **Sense 4**: "show the form or outline of" with synonyms like delineate. This is more about visually or conceptually outlining something, which is not the primary focus in the given context.
   - **Sense 5**: "decide upon or fix definitely" with synonyms like specify, set, determine, fix, limit. This involves setting or specifying something clearly, which aligns with defining a variable, a condition, or a container in a technical or mathematical context.

3. **Choosing the Best Sense**:
   - The context is technical and involves specifying or setting the value or nature of something (variable, condition, container).
   - **Sense 1** and **Sense 5** both involve specifying or determining something, but **Sense 5** is more about deciding upon or fixing something definitely, which fits well with the context of defining variables or conditions in a mathematical or programming context.
   - The action of defining here is more about specifying or setting something (a variable, a condition) rather than giving a linguistic definition or showing an outline.

4. **Conclusion**: Given the context and the analysis, **Sense 5** ("decide upon or fix definitely") is the most appropriate. It aligns with the technical context of specifying or setting variables, conditions, or containers.

Therefore, the best indexed sense for "define" in the given context is: {"sense_index": 5}


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

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

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

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

raw_output:
To determine the best indexed sense for the word "useful" in the given context, let's analyze the provided information.

The context is about defining conditional operations in kalgebra and the use of MathML containers. The sentence where "useful" appears is: "Mainly <t>useful</t> for working with piecewise." This indicates that "useful" is describing the utility or service of MathML containers in relation to working with piecewise definitions.

The candidate senses are:
1. being of use or service; synonyms include "utile"; examples include "the girl felt motherly and useful; a useful job"
2. having a useful function; synonyms include "utilitarian"; examples include "utilitarian steel tables"

Let's examine the context and the candidate senses:
- The context is discussing the utility of MathML containers for a specific task (working with piecewise definitions), which implies that "useful" is being used to describe something that is of service or use.
- Sense 1 ("being of use or service") directly corresponds to this interpretation, as it emphasizes the general utility or serviceability of something. The examples given ("the girl felt motherly and useful; a useful job") illustrate this sense, showing "useful" being applied to describe a person or a job that is of use or service.
- Sense 2 ("having a useful function") leans more towards describing something with a practical or functional use, often with a connotation of being designed for utility (as seen in "utilitarian steel tables"). While this could apply, the context doesn't specifically highlight the functional design aspect but rather the general usefulness.

Given the context and the information provided, "useful" is best described as being "of use or service" in relation to working with piecewise definitions. This aligns with Sense 1.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "working" in the given context, let's analyze the sentence and the provided candidate senses.

The context is about MathML, a container that can be used to define a container, mainly useful for working with piecewise. The sentence implies that "working with piecewise" involves using or manipulating MathML to achieve a certain purpose or to make it function as intended in the context of piecewise condition definitions.

Let's consider the relevant candidate senses:

1. Exert oneself by doing mental or physical work for a purpose or out of necessity.
2. Be employed.
3. Have an effect or outcome.
4. Perform as expected when applied (function, operate, go, run).
5. Shape, form, or improve a material (work on, process).

The phrase "working with piecewise" suggests using or manipulating piecewise, which is related to the idea of using or operating something (in this case, MathML) effectively with piecewise.

Sense 17 (cause to operate or function) is a plausible candidate because it involves making something work or function, which aligns with the idea of effectively using MathML with piecewise. However, the exact wording of the sentence is "working with piecewise," which implies an interaction or operation in the context of piecewise.

Upon closer inspection, the most suitable sense is related to operating or functioning in a certain context or with a specific tool/system. "Working with" is an idiomatic expression that can imply using or collaborating with something.

The best match is sense 3, "have an effect or outcome; often the one desired or expected," because it can be related to how something (in this case, MathML) is used or operates in conjunction with another element (piecewise), although it's a bit abstract. However, a more direct interpretation involves considering "working with" as using or manipulating something effectively.

A more fitting interpretation directly from the given options is that "working with piecewise" involves using MathML effectively or making it function as intended, which is closest to the idea of "operating in or through" or "using/manipulating to one's advantage." However, the closest and most straightforward interpretation is related to the sense of "operating or functioning" or "using effectively."

The closest sense is actually "operate in or through" (sense 16), but given the context and the available choices, we need to directly select the best fit.

The sentence implies using MathML effectively with piecewise, which can be related to the sense of "cause to operate or function" or simply "using" it. However, the most straightforward and directly related sense given the context is not explicitly listed as interpreted.

Given the context and focusing on the available choices, the most suitable interpretation is that "working with" implies an action or operation that is effectively captured by one of the provided senses.

{"sense_index": 17}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "Now" in the given context, let's analyze the sentence and the provided candidate senses.

The context is: "Piecewise is the way we can define conditional operations in kalgebra... Now you could ask me, why should the user mind about MathML?"

The sentence is introducing a new topic or question that follows from the previous explanation. The word "Now" is used here to transition to a new subject or to preface a question that might arise from the information given.

Let's examine the candidate senses:

1. Refers to the historical present, which doesn't fit this context.
2. Refers to something happening in current times ("nowadays"), not relevant here.
3. Used to preface a command, reproof, or request. While "Now" is used to preface, the sentence is more about transitioning to a potential question rather than giving a command or making a request directly.
4. Indicates something happening at the present moment, not the best fit as "Now" is used more for transitioning.
5. Indicates something happens without delay, not applicable here.
6. Indicates a change of subject or activity, which fits as "Now" is used to transition to a new topic or question.
7. Refers to something happening in the immediate past, not relevant.

Given the context and the examples, "Now" is used to indicate a transition to a new subject or activity, which aligns with sense 6.

{"sense_index": 6}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "ask" in the given context, let's analyze the sentence and the provided candidate senses.

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

Here, "ask" is used in a context where a question is being directed to the speaker. The sentence is anticipating a query from the reader or listener about the relevance or importance of MathML.

Let's examine the candidate senses:

1. The first sense is about inquiring about something. While related, the example given ("I asked about their special today") doesn't perfectly match the context of directing a question to someone.

2. The second sense involves making a request or demand, which doesn't fit the context of the sentence.

3. The third sense is about directing or putting a question; seeking an answer to. The example "ask a question" aligns closely with the usage in the given sentence, where "ask me" is followed by a question.

4. The fourth sense involves considering something obligatory or requesting and expecting something, which doesn't directly relate to the act of questioning.

5. The fifth sense is about addressing a question to someone and expecting an answer, which matches the context. The example "The children asked me about their dead grandmother" is similar in structure to the given sentence.

6. The sixth sense is related to requiring something as useful or necessary, which doesn't fit the context of the sentence.

7. The seventh sense involves asking for something as a price or condition, which is not relevant to the given context.

Given the context and the examples, both the third and fifth senses seem plausible because they both relate to asking a question. However, the fifth sense ("address a question to and expect an answer from") more accurately captures the nuance of directing a question to someone ("ask me") and is directly supported by a similar example.

Therefore, the best indexed sense for "ask" in the given context is the fifth sense.

{"sense_index": 5}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "user" in the given context, let's analyze the context and the provided candidate senses.

The context is discussing a mathematical or programming context, specifically about "kalgebra" and "MathML," which are related to mathematical expressions and markup language. The sentence in question is, "Now you could ask me, why should the user mind about MathML?" This implies that the "user" is someone interacting with or utilizing the features or functionalities related to MathML, likely in a software or programming context.

Let's examine the candidate senses:

1. **sense_key=user%1:18:00::** - This definition describes "a person who makes use of a thing; someone who uses or employs something." This is a general definition that could apply to various contexts, including the one described, where the user is someone utilizing or interacting with MathML or related functionalities.

2. **sense_key=user%1:18:01::** - This definition refers to "a person who uses something or someone selfishly or unethically" with synonyms like "exploiter." The context provided does not suggest any negative connotation or unethical behavior related to the use of MathML.

3. **sense_key=user%1:18:02::** - This definition is specific to "a person who takes drugs" with synonyms like "drug user" or "substance abuser." The context clearly does not relate to drug use or substance abuse.

Given the context, the most appropriate definition is the first one, as it generally refers to someone who uses or employs something, which fits the scenario of a person interacting with or utilizing MathML or related mathematical functionalities.

Therefore, the best indexed sense for "user" in the given context is the first one.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "easy" in the given context, let's analyze the sentence and the provided candidate senses.

The context is discussing the use of MathML for defining containers and operating with various mathematical functions. The sentence with the target word is: "Now you could ask me, why should the user mind about MathML? That's easy." This implies that understanding or dealing with MathML is not difficult.

Let's examine the candidate senses:

1. Posing no difficulty; requiring little effort. (e.g., "an easy job; an easy problem")
2. Not hurried or forced. (e.g., "an easy walk around the block")
3. Free from worry or anxiety. (e.g., "my mind was easy")
4. Affording pleasure. (e.g., "easy good looks")
5. Having little impact. (e.g., "an easy pat on the shoulder")
6. Readily exploited or tricked. (e.g., "an easy victim")
7. In fortunate circumstances financially. (e.g., "they were comfortable or even wealthy")
8. Marked by moderate steepness. (e.g., "an easy climb")
9. Affording comfort. (e.g., "soft light that was easy on the eyes")
10. Casual and unrestrained in sexual behavior. (e.g., "her easy virtue")
11. Less in demand and therefore readily obtainable. (e.g., "commodities are easy this quarter")
12. Obtained with little effort or sacrifice, often obtained illegally. (e.g., "easy money")

The sentence implies that dealing with MathML is not a challenging task, aligning with the first sense: "posing no difficulty; requiring little effort." The context is about the simplicity or ease of using MathML for certain operations, not about being relaxed, financially comfortable, or any of the other senses listed.

Therefore, the best indexed sense for "easy" in this context is the first one.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "functions" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The passage discusses MathML, a container used for working with piecewise functions, and mentions operating with functions like cos(), sin(), and other trigonometric functions, sum(), or product(). This context is heavily related to mathematical operations.

2. **Candidate Senses Analysis**:
   - **1. sense_key=function%1:24:00::**: This definition refers to a mathematical relation where each element of a given set is associated with an element of another set. The context provided matches this definition as it talks about operating with mathematical functions like cos(), sin(), etc.
   - **2. sense_key=function%1:07:00::**: Refers to the purpose or use of something. The context doesn't directly relate to discussing the purpose or use of something in a broad sense.
   - **3. sense_key=function%1:04:00::**: Talks about the actions or activities assigned to or required of a person or group. The context doesn't fit this definition as it doesn't discuss roles or responsibilities.
   - **4. sense_key=function%1:24:01::**: Describes a relation where one thing is dependent on another. While related to the concept of functions, the context specifically refers to mathematical functions rather than dependency relations in general.
   - **5. sense_key=function%1:14:00::**, **6. sense_key=function%1:11:00::**, and **7. sense_key=function%1:10:00::**: These refer to a formal social gathering, a vaguely specified social event, and a set sequence of steps in a computer program, respectively. The context doesn't match these definitions as it is focused on mathematical functions.

3. **Choosing the Best Indexed Sense**:
   - The context is about mathematical operations and specifically mentions "trigonometric functions, sum () or product ()". This directly aligns with the definition of **1. sense_key=function%1:24:00::**, which is about mathematical functions.
   - Therefore, the best indexed sense for "functions" in the given context is **1**.

Given the instructions, the response should be in the format of a JSON object indicating the sense index.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the correct sense of the target lemma "cos" in the given context, let's analyze the information provided.

The context is discussing MathML, a container used for defining mathematical expressions, particularly with piecewise functions. It mentions operating with functions like "cos()", "sin()", and other trigonometric functions.

The presence of "sin()" alongside "cos()" is a strong indicator that "cos()" refers to a trigonometric function. The sentence structure and the mention of "any other trigonometric functions" further reinforce this interpretation.

Let's examine the candidate senses:

1. **ratio of the adjacent side to the hypotenuse of a right-angled triangle** - This is the definition of cosine, a trigonometric function. The context supports this sense as it is related to trigonometric functions.
2. **lettuce with long dark-green leaves** - This sense is unrelated to the context of mathematical functions or MathML.
3. **an odorless very poisonous gas** - This refers to carbon monoxide, which is not relevant to the context.
4. **a hard ferromagnetic silver-white metallic element** - This is the definition of cobalt, not related to the given context.
5. **one who refuses to serve in the armed forces** - This refers to a conscientious objector, which is unrelated to the context.
6. **a state in west central United States** - This is the definition of Colorado, not relevant to the context.

Given the context and the information provided, the most appropriate sense of "cos" is the trigonometric function "cosine."

Therefore, the best indexed sense is: {"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: 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:
To determine the best indexed sense for the target word "sin()" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about MathML, a markup language for mathematical expressions, and its utility in defining containers and working with various mathematical functions. Specifically, it mentions using "sin()" along with other trigonometric functions like "cos()", indicating a mathematical context.

2. **Candidate Senses Analysis**:
   - **1. sense_key=sin%1:07:00::**: Refers to estrangement from God, which is unrelated to the mathematical context.
   - **2. sense_key=sin%1:04:00::**: Pertains to an act considered a transgression of God's will, also unrelated to the context.
   - **3. sense_key=sin%1:24:00::**: Defines "sin" as a trigonometric function, specifically the ratio of the length of the side opposite a given angle to the length of the hypotenuse of a right-angled triangle. This matches the context.
   - **4. sense_key=sin%1:18:00::**: Relates to a deity in Akkadian mythology, not relevant to the context.
   - **5. sense_key=sin%1:10:00::**: Concerns the 21st letter of the Hebrew alphabet, not related to the given context.
   - **6. sense_key=sin%1:04:01::**: Refers to violent and excited activity, not pertinent to the context.

3. **Decision**: The context clearly indicates a mathematical discussion involving trigonometric functions. The mention of "sin()" alongside "cos()" and other mathematical operations directly points to the trigonometric function "sine."

4. **Conclusion**: The best indexed sense for "sin()" in the given context is the one related to the trigonometric function, which is **3**.

Therefore, the response in the required JSON format is: {"sense_index": 3}


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

[User]
Target lemma: 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}.

raw_output:
To determine the best indexed sense for the target word "other" in the given context, let's analyze the context and the provided candidate senses.

The context is discussing MathML and its utility in operating with various mathematical functions, including "cos(), sin(), any other trigonometric functions, sum () or product ()." The word "other" is used here to refer to additional trigonometric functions beyond those explicitly mentioned (cos() and sin()).

Let's examine the candidate senses:

1. The first sense is defined as "not the same one or ones already mentioned or implied." The examples given include "today isn't any other day" and "the construction of highways and other public works." This sense fits the context because "other trigonometric functions" refers to functions beyond the ones already mentioned (cos() and sin()), implying different or additional functions.

2. The second sense refers to something "recently past," as in "the other evening." This doesn't fit the context, as there's no reference to time.

3. The third sense is related to the "distant past," with synonyms like "early" and "former." This doesn't apply to the context, which is discussing mathematical functions without any reference to time or historical context.

4. The fourth sense describes something as "very unusual; different in character or quality from the normal or expected." While this could potentially apply to some interpretations of "other," the context here is more about listing examples of mathematical functions rather than highlighting their unusualness.

Given the context, the use of "other" is to indicate additional items (trigonometric functions) beyond the ones specifically mentioned. This aligns with the first sense: "not the same one or ones already mentioned or implied."

Therefore, the best indexed sense for "other" in this context is the first one.

{"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: 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}.

raw_output:
To determine the best indexed sense for the target word "sum" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The passage discusses MathML, a markup language for mathematical expressions, and its utility in working with mathematical functions such as `cos()`, `sin()`, and notably `sum()`. The context is clearly mathematical, focusing on the application of these functions.

2. **Candidate Senses Analysis**:
   - **1. sum%1:21:00::**: Relates to a quantity of money. The context does not discuss money, so this sense is not relevant.
   - **2. sum%1:09:01::**: Refers to a quantity obtained by adding a group of numbers. This is a common mathematical operation and aligns with the use of `sum()` in mathematical contexts.
   - **3. sum%1:14:00::**: Describes the final aggregate. While related to addition or accumulation, it's more about the result of such operations rather than the operation itself.
   - **4. sum%1:09:00::**: Concerns the most essential part of an idea or experience. The context is mathematical and doesn't discuss abstract ideas or experiences, so this sense is not applicable.
   - **5. sum%1:06:00::**: Refers to the whole amount, similar to total or aggregate. This is somewhat related to the mathematical context but is more about a complete quantity rather than a function or operation.
   - **6. sum%1:14:01::**: Relates to the union of sets in a mathematical context. While this is a mathematical concept, the specific mention of `sum()` as a function points more towards an operation of addition rather than set theory.

3. **Choosing the Best Indexed Sense**:
   - The context is clearly about mathematical operations and functions.
   - `sum()` is mentioned alongside other mathematical functions like `cos()` and `sin()`, indicating it's a function performing a specific mathematical operation.
   - The most relevant mathematical operation related to "sum" is the addition of a group of numbers.

Given these observations, the most appropriate sense for "sum" in this context is **2. sum%1:09:01::**, which corresponds to "a quantity obtained by the addition of a group of numbers." This directly relates to the function `sum()` as used in the context.

Therefore, the best indexed sense is 2.

{"sense_index": 2}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "product" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The passage discusses MathML, a markup language for mathematical expressions, and its utility in working with various mathematical functions such as `cos()`, `sin()`, and specifically mentions `<t>product</t>()`. This context strongly suggests a mathematical operation.

2. **Candidate Senses Analysis**:
   - **1. commodities offered for sale**: This sense is related to business and commerce, not relevant to the mathematical context provided.
   - **2. an artifact that has been created by someone or some process**: While this is a broad definition that could potentially encompass many things, it doesn't directly relate to the specific mathematical context of the passage.
   - **3. a quantity obtained by multiplication**: This sense directly corresponds to a common mathematical operation, fitting the context of discussing `cos()`, `sin()`, and other trigonometric functions, as well as a `product()` function.
   - **4. a chemical substance formed as a result of a chemical reaction**: This sense is relevant to chemistry, not directly related to the context provided.
   - **5. a consequence of someone's efforts or of a particular set of circumstances**: This is a more abstract sense that doesn't directly relate to the mathematical context.
   - **6. the set of elements common to two or more sets**: While this is a mathematical concept, the specific mention of a `product()` function aligns more directly with the operation described in sense 3.

3. **Decision**: The context clearly points towards a mathematical operation, specifically mentioning a `product()` function alongside other mathematical functions. The most relevant sense is therefore **3. a quantity obtained by multiplication**, as it directly relates to the mathematical context and the function mentioned.

Thus, the best indexed sense for "product" in the given context is **3**.

{"sense_index": 3}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "use" in the given context, let's analyze the sentence and the provided candidate senses.

The sentence is: "We can use plus(), times() and everything which has its operator."

The context is about utilizing certain functions or operators in a mathematical or computational context, specifically within "kalgebra's console".

Let's examine the candidate senses:

1. The first sense is about putting something into service or employing it for a particular purpose. The synonyms include "utilize", "utilise", "apply", and "employ". The example given is "use your head!" and "we only use Spanish at home". This sense aligns with using something for its intended purpose.

2. The second sense involves taking or consuming something regularly or habitually, with "habituate" as a synonym. The example is "She uses drugs rarely". This doesn't fit the context of using mathematical functions.

3. The third sense is about using something up or consuming it fully, with "expend" as a synonym. The example is "The legislature expended its time on school questions". This doesn't directly relate to the context of employing mathematical functions.

4. The fourth sense is about seeking or achieving an end by using something to one's advantage. The examples given involve using influential connections for personal gain. This doesn't directly fit the context.

5. The fifth sense involves availing oneself of something, with "practice" and "apply" as synonyms. The examples are "apply a principle" and "practice a religion". This sense is about utilizing or applying something in a broader sense.

6. The sixth sense is about habitually doing something, but it's restricted to the past tense. The examples involve past habits that are no longer continued. This doesn't fit the context.

Given the context, where "use" is applied to mathematical functions or operators (like "plus()", "times()"), the most appropriate sense is the first one. It involves employing or utilizing these functions for their intended mathematical purpose. The synonyms "utilize", "apply", and "employ" all fit this context, as does the example of using something for its inherent purpose.

Therefore, the best indexed sense for "use" in this context is the first one.

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

Candidate senses:
1. sense_key=plus%1:07:00:: | definition=a useful or valuable quality | synonyms=asset
2. sense_key=plus%1:04:00:: | definition=the arithmetic operation of summing; calculating the sum of two or more numbers | synonyms=summation, addition | examples=the summation of four and three gives seven; four plus three equals seven

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

raw_output:
To determine the best indexed sense for the target word "plus()" in the given context, let's analyze the information provided.

The context is about a mathematical or computational environment where functions like `cos()`, `sin()`, `sum()`, `product()`, `plus()`, and `times()` are used. The specific sentence mentioning "plus()" is: "We can use <t>plus()</t>, times() and everything which has its operator."

Given the candidate senses:

1. A useful or valuable quality (asset)
2. The arithmetic operation of summing; calculating the sum of two or more numbers (summation, addition)

Let's examine the context and the examples provided for the candidate senses.

The context clearly indicates that "plus()" is being used as a function related to mathematical operations, alongside other trigonometric functions and operations like `times()`. The mention of "its operator" further suggests that "plus()" is related to a specific mathematical operation.

The first sense provided relates to a "useful or valuable quality," which doesn't fit the context of mathematical operations.

The second sense directly relates to "the arithmetic operation of summing," with examples like "four plus three equals seven," which aligns perfectly with the use of "plus()" in the given context as a function that performs addition.

Therefore, the best indexed sense for "plus()" in the given context is the one related to the arithmetic operation of summing.

{"sense_index": 2}


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

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

Candidate senses:
1. sense_key=times%1:28:01:: | definition=a more or less definite period of time now or previously present | examples=it was a sign of the times
2. sense_key=times%1:04:00:: | definition=an arithmetic operation that is the inverse of division; the product of two numbers is computed | synonyms=multiplication | examples=the multiplication of four by three gives twelve; four times three equals twelve
3. sense_key=time%1:11:00:: | definition=an instance or single occasion for some event | synonyms=time, clip | examples=this time he succeeded; he called four times
4. sense_key=time%1:28:05:: | definition=a period of time considered as a resource under your control and sufficient to accomplish something | synonyms=time | examples=take time to smell the roses; I didn't have time to finish
5. sense_key=time%1:28:00:: | definition=an indefinite period (usually marked by specific attributes or activities) | synonyms=time | examples=he waited a long time; the time of year for planting
6. sense_key=time%1:28:06:: | definition=a suitable moment | synonyms=time | examples=it is time to go
7. sense_key=time%1:03:00:: | definition=the continuum of experience in which events pass from the future through the present to the past | synonyms=time
8. sense_key=time%1:11:01:: | definition=a person's experience on a particular occasion | synonyms=time | examples=he had a time holding back the tears; they had a good time together
9. sense_key=clock_time%1:28:00:: | definition=a reading of a point in time as given by a clock | synonyms=clock time, time | examples=do you know what time it is?; the time is 10 o'clock
10. sense_key=fourth_dimension%1:28:00:: | definition=the fourth coordinate that is required (along with three spatial dimensions) to specify a physical event | synonyms=fourth dimension, time
11. sense_key=meter%1:07:00:: | definition=rhythm as given by division into parts of equal duration | synonyms=meter, metre, time
12. sense_key=prison_term%1:28:00:: | definition=the period of time a prisoner is imprisoned | synonyms=prison term, sentence, time | examples=he served a prison term of 15 months; his sentence was 5 to 10 years

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

raw_output:
To determine the best indexed sense for the target word "times()" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about a mathematical or computational tool (kalgebra's console) that is useful as a calculator. It mentions various mathematical functions like `cos()`, `sin()`, `sum()`, `product()`, `plus()`, and `times()`. This indicates that `times()` is being used in a mathematical operation context.

2. **Understanding the Target Word**: The target word is "times()" which is a function. In mathematical contexts, "times" is commonly associated with multiplication.

3. **Examining Candidate Senses**:
   - Sense 1 refers to a period of time, which doesn't fit the mathematical context.
   - Sense 2 is about an arithmetic operation that is the inverse of division, defined as multiplication, with examples like "four times three equals twelve." This matches the use of `times()` in the context.
   - Senses 3 to 12 relate to various concepts of "time" or "times" that are not directly related to the arithmetic operation indicated by the context.

4. **Making the Choice**: Given that `times()` is used alongside other mathematical functions and is described in a context that implies a mathematical operation, the most relevant sense is the one related to multiplication.

5. **Selecting the Best Indexed Sense**: The sense that corresponds to "multiplication" is **2**.

Therefore, the JSON response with the chosen sense index is: {"sense_index": 2}