[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:
Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can <t>use</t> them both. Also it is possible to use the unicode ² characters.

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

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

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

 Context analysis:
 The text is about a mathematical input field/calculator. It explains syntax for mathematical operations. The specific sentence is: "^, **: Power, you can <t>use</t> them both."

 This means: For the power operation, you can use either "^" or "**" (both symbols are available/valid for the same purpose).

 Looking at the candidate senses:

 1. sense_key=use%2:34:01:: | definition=put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
 - This seems to fit: "put into service" - you can put either "^" or "**" into service for the power operation. This is about employing either symbol for the purpose of indicating power.

 2. sense_key=use%2:34:02:: | definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
 - This implies habitual consumption, like drug use. Doesn't fit here.

 3. sense_key=use%2:34:00:: | definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
 - This means to exhaust or deplete. Not relevant here.

 4. sense_key=use%2:41:14:: | definition=seek or achieve an end by using to one's advantage | examples=She uses her influential friends to get jobs; The president's wife used her good connections
 - This implies exploitation or taking advantage of something/someone for personal gain. Not relevant here.

 5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
 - This is about making use of something available. Could potentially fit, but let's look closer.

 6. sense_key=use%2:41:03:: | definition=habitually do something (use only in the past tense) | examples=She used to call her mother every week...
 - This is specifically for "used to" construction. The target is "use" (present tense), so this is out.

 Now comparing sense 1 and sense 5:
 Sense 1 (use%2:34:01::): "put into service; make work or employ for a particular purpose" - This is the general sense of utilizing something for a function. The example "we only use Spanish at home" shows employing a language for communication.

 Sense 5 (use%2:41:04::): "avail oneself to" - This seems more about adopting or practicing something (like a religion or principle).

 In the context: "you can use them both" referring to the symbols "^" and "**" for the power operation. This is about employing either symbol for the mathematical purpose. This aligns best with sense 1: putting the symbols into service for the purpose of indicating power.

 The examples for sense 1 include "use your head!" (employ your brain) and "we only use Spanish at home" (employ Spanish language). Using "^" or "**" fits this pattern of employing something for a purpose.

 Sense 5 examples: "apply a principle; practice a religion" - this seems more about following or adhering to something rather than employing a tool/symbol.

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

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

 So the indices are 1, 2, 3, 4, 5, 6.

 My choice is index 1.

 Let me double-check sense 5. "avail oneself to" - is this about utilizing? The examples are "apply a principle; practice a religion". This seems like "apply" in the sense of "put into practice" or "follow". But in the context of mathematical symbols, "you can use them both" is clearly about utilizing either symbol for the operation.

 Sense 1 is definitely the correct choice. It's the most common/general sense of "use" meaning to utilize or employ something for a purpose.

 Final check: The context is technical/instructional about using syntax. "You can use them both" means you are allowed to utilize either symbol. This is sense 1.

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


attempt_kind: initial

status: success

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

[User]
Target lemma: possible
Target surface form: possible
Context:
If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is <t>possible</t> to use the unicode ² characters. Powers are one way to make roots too.

Candidate senses:
1. sense_key=possible%3:00:00:: | definition=capable of happening or existing | examples=a breakthrough may be possible next year; anything is possible
2. sense_key=possible%3:00:04:: | definition=existing in possibility | synonyms=potential | examples=a potential problem; possible uses of nuclear power

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

finish_reason: stop

role: assistant

reasoning_content:
The user wants me to perform Word Sense Disambiguation (WSD) on the word "possible" in the given context.

 Context analysis:
 The sentence is: "Also it is <t>possible</t> to use the unicode ² characters."
 The context is about a syntax for mathematical input, explaining various operators like +, -, *, /, ^, **, and mentioning that it's possible to use unicode ² characters.

 Candidate senses:
 1. sense_key=possible%3:00:00:: | definition=capable of happening or existing | examples=a breakthrough may be possible next year; anything is possible
 2. sense_key=possible%3:00:04:: | definition=existing in possibility | synonyms=potential | examples=a potential problem; possible uses of nuclear power

 Analysis:
 Sense 1 (possible%3:00:00::): "capable of happening or existing" - This is the general sense of possibility, indicating that something can be done or occur. In the context "it is possible to use the unicode ² characters", this means that using unicode ² characters is something that can be done, is feasible, is capable of happening.

 Sense 2 (possible%3:00:04::): "existing in possibility" with synonym "potential" - This seems to describe something that has the potential to exist or happen, often used attributively (e.g., "possible uses", "potential problem"). The examples show "possible" modifying nouns ("uses", "problem").

 In the target sentence: "it is possible to use the unicode ² characters"
 - This is a predicative use (after "is")
 - It means "it is feasible/permissible/capable of being done to use..."
 - This aligns with sense 1: "capable of happening or existing" (in this case, capable of being done)

 Sense 2 seems more about "potential" as an adjective modifying nouns to indicate latent capability (e.g., "possible side effects", "possible outcomes"), whereas sense 1 is about general possibility/feasibility.

 The construction "it is possible to..." typically maps to sense 1 (capable of happening), indicating feasibility or ability.

 Therefore, sense 1 is the correct choice.

 Wait, let me double-check the WordNet sense distinctions:
 - possible%3:00:00:: is the first sense, usually the most general one meaning "capable of happening"
 - possible%3:00:04:: is "existing in possibility" which is more specific to potentiality

 In "it is possible to use...", we're saying that the action of using unicode characters is capable of being performed. This is clearly sense 1.

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

format: unknown

native_finish_reason: stop

provider: Novita

currency: USD


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

[User]
Target lemma: use
Target surface form: use
Context:
If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to <t>use</t> the unicode ² characters. Powers are one way to make roots too.

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

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

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

 Context analysis:
 The sentence is: "Also it is possible to <t>use</t> the unicode ² characters."
 The surrounding context is about a syntax for mathematical expressions, mentioning that you can use ^ or ** for powers, and also it's possible to use unicode ² characters.

 The meaning here is about employing or utilizing the unicode characters for a particular purpose (representing powers/squared notation).

 Let's look at the candidate senses:

 1. sense_key=use%2:34:01:: | definition=put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
 - This seems to fit. It's about employing unicode characters for the purpose of representing powers.

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

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

 4. sense_key=use%2:41:14:: | definition=seek or achieve an end by using to one's advantage | examples=She uses her influential friends to get jobs; The president's wife used her good connections
 - This is about exploiting something for personal advantage. Doesn't fit.

 5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
 - This is about practicing or applying oneself to something. Not quite right for using characters.

 6. sense_key=use%2:41:03:: | definition=habitually do something (use only in the past tense) | examples=She used to call her mother every week but now she calls only occasionally; I used to get sick when I ate in that dining hall
 - This is the "used to" construction. Doesn't fit here.

 So sense 1 is clearly the best fit. The context is about employing unicode characters as a means to represent mathematical powers, which aligns with "put into service; make work or employ for a particular purpose".

 The instruction says: "Do not answer with a WordNet sense key. Return only a JSON object exactly like {"sense_index": 3}."

 So I should return {"sense_index": 1}.

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

 So the index refers to the numbering in the list (1-6), not the WordNet lexicographer file numbers or anything else.

 The correct sense is #1.

 JSON format: {"sense_index": 1}

provider: ModelRun


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

[User]
Target lemma: power
Target surface form: Powers
Context:
I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. <t>Powers</t> are one way to make roots too. -gt: It s the way to specify the bounded variable in a function.

Candidate senses:
1. sense_key=power%1:07:00:: | definition=possession of controlling influence | synonyms=powerfulness | examples=the deterrent power of nuclear weapons; the power of his love saved her
2. sense_key=power%1:19:00:: | definition=(physics) the rate of doing work; measured in watts (= joules/second)
3. sense_key=power%1:09:01:: | definition=possession of the qualities (especially mental qualities) required to do something or get something done | synonyms=ability | examples=danger heightened his powers of discrimination
4. sense_key=power%1:26:00:: | definition=(of a government or government official) holding an office means being in power | synonyms=office | examples=being in office already gives a candidate a great advantage; during his first year in office
5. sense_key=power%1:18:00:: | definition=one possessing or exercising power or influence or authority | synonyms=force | examples=the mysterious presence of an evil power; may the force be with you
6. sense_key=power%1:10:00:: | definition=a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index
7. sense_key=power%1:07:02:: | definition=physical strength | synonyms=might, mightiness
8. sense_key=power%1:14:00:: | definition=a state powerful enough to influence events throughout the world | synonyms=world power, major power, great power, superpower
9. sense_key=power%1:18:01:: | definition=a very wealthy or powerful businessman | synonyms=baron, big businessman, business leader, king, magnate, mogul | examples=an oil baron

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

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

Context analysis:
The text is about syntax for a mathematical or programming language, similar to Maxima and Maple.
- "+ - * /: Addition, subtraction, multiplication and division."
- "^, **: Power, you can use them both. Also it is possible to use the unicode ² characters."
- "<t>Powers</t> are one way to make roots too."
- "-gt: It s the way to specify the bounded variable in a function."

The sentence "Powers are one way to make roots too" clearly refers to mathematical powers/exponents. In mathematics, roots can be expressed as fractional powers (e.g., square root = power of 1/2). The previous sentence mentions "^, **: Power" and unicode ² characters.

Looking at candidate senses:
1. power%1:07:00:: - controlling influence (not mathematical)
2. power%1:19:00:: - physics rate of doing work (watts) - not this context
3. power%1:09:01:: - mental qualities/ability - not this
4. power%1:26:00:: - holding office - not this
5. power%1:18:00:: - person exercising power - not this
6. power%1:10:00:: - mathematical notation indicating the number of times a quantity is multiplied by itself; synonyms=exponent, index - THIS MATCHES
7. power%1:07:02:: - physical strength - not this
8. power%1:14:00:: - world power (state) - not this
9. power%1:18:01:: - wealthy businessman - not this

Sense 6 is clearly the correct one. The context is explicitly mathematical, discussing operators like ^ and **, and mentioning roots (which are mathematically related to powers/exponents).

The target surface form is "Powers" (plural), but the lemma is "power". Sense 6 fits perfectly.

I need to return only a JSON object exactly like {"sense_index": 6}.

provider: SiliconFlow


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

[User]
Target lemma: way
Target surface form: way
Context:
I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one <t>way</t> to make roots too. -gt: It s the way to specify the bounded variable in a function.

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

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

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

 Context analysis:
 The sentence is: "Powers are one <t>way</t> to make roots too."

 The surrounding context is about a programming language or mathematical syntax. It discusses:
 - Syntax based on common sense
 - Similar to maxima and maple's syntax
 - Operations like +, -, *, /, ^, **
 - Powers (exponentiation)
 - Using unicode characters like ²
 - Powers being one "way" to make roots (square roots, etc.)
 - -gt being the way to specify bounded variables

 The specific sentence: "Powers are one way to make roots too."

 This means: Powers/exponentiation is one method or means to calculate roots (like square roots, cube roots, etc., since root(x) = x^(1/n)).

 Now let's look at the candidate senses:

 1. sense_key=way%1:07:01:: | definition=how something is done or how it happens | synonyms=manner, mode, style, fashion | examples=her dignified manner; his rapid manner of talking
    - This is about manner or style of doing something. While related, "one way to make roots" is more about a method/means to achieve a result rather than the style/manner of doing it.

 2. sense_key=way%1:04:01:: | definition=how a result is obtained or an end is achieved | synonyms=means, agency | examples=a means of control; an example is the best agency of instruction
    - This fits well. "Powers are one means to make roots" - yes, using powers is a method/means to achieve the result of making/calculating roots.

 3. sense_key=way%1:15:00:: | definition=a line leading to a place or point | synonyms=direction | examples=he looked the other direction; didn't know the way home
    - Spatial/directional sense. Not relevant here.

 4. sense_key=way%1:26:00:: | definition=the condition of things generally | examples=that's the way it is; I felt the same way
    - General state/condition. Not relevant.

 5. sense_key=way%1:04:00:: | definition=a course of conduct | synonyms=path, way of life | examples=the path of virtue; we went our separate ways
    - Life path, conduct. Not relevant.

 6. sense_key=way%1:06:00:: | definition=any artifact consisting of a road or path affording passage from one place to another | examples=he said he was looking for the way out
    - Physical road/path. Not relevant.

 7. sense_key=way%1:04:02:: | definition=a journey or passage | examples=they are on the way
    - Journey. Not relevant.

 8. sense_key=way%1:23:00:: | definition=space for movement | synonyms=room, elbow room | examples=room to pass; make way for
    - Space. Not relevant.

 9. sense_key=way%1:07:02:: | definition=the property of distance in general | examples=it's a long way to Moscow; he went a long ways
    - Distance. Not relevant.

 10. sense_key=way%1:09:00:: | definition=doing as one pleases or chooses | examples=if I had my way
     - Preference/desire. Not relevant.

 11. sense_key=way%1:09:01:: | definition=a general category of things; used in the expression `in the way of' | examples=they didn't have much in the way of clothing
     - Category. Not relevant.

 12. sense_key=way%1:21:00:: | definition=a portion of something divided into shares | examples=they split the loot three ways
     - Division/shares. Not relevant.

 The choice is between sense 1 and sense 2.

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

 The phrase "one way to make roots" emphasizes that powers are a method to achieve the result of making roots. It's about achieving an end (making roots) through a particular method (using powers).

 Sense 2 specifically mentions "how a result is obtained or an end is achieved" and synonyms include "means". This fits perfectly: "Powers are one means to make roots."

 Sense 1 focuses more on the manner/style of doing something, which is less about achieving a specific result and more about the style of the action itself.

 Also, looking at the second occurrence in the context: "-gt: It s the way to specify the bounded variable in a function." This also seems to fit sense 2 (means/method to achieve the specification), but the target is specifically the first occurrence in "Powers are one way to make roots too."

 Actually, looking carefully at the instructions, the target is the specific <t>way</t> tag. The context shows:
 "Powers are one <t>way</t> to make roots too."

 So yes, it's about powers being a method/means to calculate roots.

 Therefore, the best sense is sense 2 (index 2).

 Wait, let me double-check the sense indices. The user lists them as:
 1. sense_key=way%1:07:01::
 2. sense_key=way%1:04:01::
 3. sense_key=way%1:15:00::
 ...

 So sense 2 corresponds to way%1:04:01::.

 But I should verify if sense 1 could also work. "One way to..." is a very common construction. In WordNet, "way" in "one way to do something" often maps to sense 1 or 2 depending on subtle distinctions.

 Let me check the examples again:
 Sense 1 examples: "her dignified manner; his rapid manner of talking" - these are about the style/demeanor.
 Sense 2 examples: "a means of control; an example is the best agency of instruction" - these are about instruments/methods to achieve goals.

 "Powers are one way to make roots" - this is clearly about a method to achieve a mathematical result. It's instrumental. Therefore sense 2 is better.

 Also, in the second sentence: "-gt: It s the way to specify the bounded variable in a function." This also looks like sense 2 (means to specify).

 So the answer should be {"sense_index": 2}.

provider: Chutes


[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: root
Target surface form: roots
Context:
I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make <t>roots</t> too. -gt: It s the way to specify the bounded variable in a function.

Candidate senses:
1. sense_key=root%1:20:00:: | definition=(botany) the usually underground organ that lacks buds or leaves or nodes; absorbs water and mineral salts; usually it anchors the plant to the ground
2. sense_key=root%1:15:00:: | definition=the place where something begins, where it springs into being | synonyms=beginning, origin, rootage, source | examples=the Italian beginning of the Renaissance; Jupiter was the origin of the radiation
3. sense_key=root%1:10:00:: | definition=(linguistics) the form of a word after all affixes are removed | synonyms=root word, base, stem, theme, radical | examples=thematic vowels are part of the stem
4. sense_key=root%1:23:00:: | definition=a number that, when multiplied by itself some number of times, equals a given number
5. sense_key=root%1:14:00:: | definition=the set of values that give a true statement when substituted into an equation | synonyms=solution
6. sense_key=root%1:18:00:: | definition=someone from whom you are descended (but usually more remote than a grandparent) | synonyms=ancestor, ascendant, ascendent, antecedent
7. sense_key=root%1:10:01:: | definition=a simple form inferred as the common basis from which related words in several languages can be derived by linguistic processes | synonyms=etymon
8. sense_key=root%1:08:00:: | definition=the part of a tooth that is embedded in the jaw and serves as support | synonyms=tooth root

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

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

 Context analysis:
 - The text is about mathematical syntax (maxima and maple are computer algebra systems)
 - It mentions operations: +, -, *, /, ^, **
 - It mentions "Powers are one way to make <t>roots</t> too"
 - This is clearly referring to mathematical roots (like square roots, cube roots, etc.)

 Candidate sense analysis:
 1. root%1:20:00:: - botanical root (underground organ of plant) - Not relevant, this is math context
 2. root%1:15:00:: - origin/beginning/source - Not relevant
 3. root%1:10:00:: - linguistics root (morphology) - Not relevant
 4. root%1:23:00:: - "a number that, when multiplied by itself some number of times, equals a given number" - This is the mathematical definition of root (e.g., square root, cube root)
 5. root%1:14:00:: - solution to an equation - While related to math, this is about the values that satisfy an equation, not the operation of taking roots
 6. root%1:18:00:: - ancestor - Not relevant
 7. root%1:10:01:: - etymon/linguistic root - Not relevant
 8. root%1:08:00:: - tooth root - Not relevant

 The context mentions "Powers are one way to make roots too" - this is referring to the mathematical relationship between powers/exponents and roots (e.g., x^(1/2) is the square root). This is clearly sense 4.

 Sense 4 definition: "a number that, when multiplied by itself some number of times, equals a given number" - this matches the mathematical concept of nth roots.

 Sense 5 is about solutions to equations (roots of an equation), but the context here is about operations/syntax for calculating roots, not about finding solutions to equations. The phrase "make roots" suggests the operation of creating/extracting roots, which aligns with sense 4.

 Therefore, the correct sense is 4 (root%1:23:00::).

 The user wants the output as: {"sense_index": 4}


[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: too
Target surface form: too
Context:
I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots <t>too</t>. -gt: It s the way to specify the bounded variable in a function.

Candidate senses:
1. sense_key=too%4:02:00:: | definition=to a degree exceeding normal or proper limits | synonyms=excessively, overly, to a fault | examples=too big
2. sense_key=too%4:02:01:: | definition=in addition | synonyms=besides, also, likewise, as well | examples=he has a Mercedes, too

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation (WSD) on the word "too" in the given context.

 Context analysis:
 The sentence containing "too" is: "Powers are one way to make roots <t>too</t>."

 Looking at the surrounding context:
 - The text is explaining syntax for a mathematical system
 - It mentions that powers (using ^, **, or ²) are one way to make roots
 - The word "too" appears at the end of the sentence about making roots

 Now let's look at the candidate senses:

 1. sense_key=too%4:02:00:: | definition=to a degree exceeding normal or proper limits | synonyms=excessively, overly, to a fault | examples=too big
    - This sense means "excessively" or "more than necessary"
    - Example: "too big", "too much"
    - In the context "make roots too", this would mean making roots excessively, which doesn't fit well grammatically or semantically here

 2. sense_key=too%4:02:01:: | definition=in addition | synonyms=besides, also, likewise, as well | examples=he has a Mercedes, too
    - This sense means "also" or "as well"
    - The sentence "Powers are one way to make roots too" suggests that powers are one way to make roots, and implies there might be other ways, or that roots can also be made using powers
    - Actually, looking more carefully: "Powers are one way to make roots too" - this is saying that powers are a method to create roots (in addition to other methods, or that roots can also be created using powers)
    - Wait, let me reconsider the mathematical context. In mathematics, powers and roots are inverse operations. If you have a power, you can use it to express roots (e.g., x^(1/2) is the square root).
    - The sentence seems to be saying: "Powers are one way to make roots [as well/also]" or "Powers are one way to make roots [too]"
    - Actually, looking at the flow: it explains various operators (+, -, *, /, ^, **), then mentions unicode ², then says "Powers are one way to make roots too."
    - This likely means that powers can also be used to make roots (in addition to other methods), or that roots can be expressed using powers as well.
    - The sense "in addition" or "also" fits here - it's saying powers are one way to make roots, additionally/as well.

 Wait, let me reconsider if it could be sense 1. "Powers are one way to make roots too" - if "too" meant "excessively", it would need to modify an adjective or adverb, but "roots" is a noun here. You can't "make roots excessively" in this grammatical structure without it sounding odd. "Too" as "excessively" typically modifies adjectives (too big) or other adverbs, or verbs in specific constructions (I ate too much).

 But "make roots too" - if "too" is at the end of the sentence, it's almost certainly the "also/as well" sense. This is a very common position for the additive "too".

 Examples:
 - "I like apples, and I like oranges too." (sense 2)
 - "He is coming too." (sense 2)

 The sentence structure "Powers are one way to make roots too" aligns with sense 2: "in addition" or "also". It means that powers are one way to make roots, as well/aside from other potential ways.

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

 Wait, I need to check the indexing. The user asks for the "single best indexed sense" and the candidates are labeled 1 and 2. So I should return {"sense_index": 2}.

 Let me double-check:
 - Sense 1: excessively (too big)
 - Sense 2: in addition (he has a Mercedes, too)

 Context: "Powers are one way to make roots too."
 Meaning: Powers are one way to make roots as well/also.
 This is clearly sense 2.

 The JSON should be: {"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: way
Target surface form: way
Context:
I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the <t>way</t> to specify the bounded variable in a function. (): It is used to specify a higher priority.

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

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

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

 Context analysis:
 The sentence is: "-gt: It s the <t>way</t> to specify the bounded variable in a function."

 This is describing a syntax feature in mathematical software (Maxima/Maple). The "-gt" symbol is described as "the way to specify the bounded variable in a function."

 Looking at the candidate senses:

 1. sense_key=way%1:07:01:: | definition=how something is done or how it happens | synonyms=manner, mode, style, fashion
    - This seems to fit. It's describing how to specify something - the manner or method.

 2. sense_key=way%1:04:01:: | definition=how a result is obtained or an end is achieved | synonyms=means, agency
    - This also seems plausible. It's a means of achieving the specification of a bounded variable.

 3. sense_key=way%1:15:00:: | definition=a line leading to a place or point | synonyms=direction
    - Not relevant here. Not about physical direction.

 4. sense_key=way%1:26:00:: | definition=the condition of things generally
    - Not relevant. Not talking about general conditions.

 5. sense_key=way%1:04:00:: | definition=a course of conduct | synonyms=path, way of life
    - Not relevant. Not about conduct or lifestyle.

 6. sense_key=way%1:06:00:: | definition=any artifact consisting of a road or path
    - Not relevant. Not physical.

 7. sense_key=way%1:04:02:: | definition=a journey or passage
    - Not relevant.

 8. sense_key=way%1:23:00:: | definition=space for movement
    - Not relevant.

 9. sense_key=way%1:07:02:: | definition=the property of distance in general
    - Not relevant.

 10. sense_key=way%1:09:00:: | definition=doing as one pleases or chooses
    - Not relevant.

 11. sense_key=way%1:09:01:: | definition=a general category of things; used in the expression `in the way of'
    - Not relevant.

 12. sense_key=way%1:21:00:: | definition=a portion of something divided into shares
    - Not relevant.

 So it's between sense 1 and sense 2.

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

 The phrase "It is the way to specify..." suggests a method or manner of doing something.

 However, looking closely at the distinction:
 - Sense 1 (way%1:07:01) focuses on the manner/style of doing something.
 - Sense 2 (way%1:04:01) focuses on the means/instrumentality - a means to an end.

 In the context: "-gt: It's the way to specify the bounded variable in a function."

 This is describing the syntax "-gt" as the method/means by which one specifies the bounded variable. It's the mechanism or means used to achieve the end (specifying the variable).

 But let's look at the examples for sense 1: "her dignified manner; his rapid manner of talking" - these are about styles/behaviors.
 Examples for sense 2: "a means of control; an example is the best agency of instruction" - these are about instruments/means to achieve something.

 The phrase "the way to specify" is very close to "the means to specify" or "how to specify".

 Actually, looking at common usage:
 - "This is the way to do it" = "This is how to do it" (manner/method)
 - "This is the way to achieve success" could be ambiguous between manner and means.

 But in technical documentation describing syntax: "It is the way to specify X" typically means "It is the method/means by which you specify X."

 However, looking at WordNet sense distinctions:
 Sense 1 (way%1:07:01) is under noun.artifact? No, looking at the sense keys:
 - way%1:07:01 - 07 is noun.attribute? Actually, WordNet lexicographer file numbers:
   - 04: noun.act
   - 07: noun.attribute
   - 15: noun.location
   - 26: noun.state
   - 06: noun.artifact
   - 23: noun.quantity? No, 23 is noun.relation? Actually, let me recall:

 WordNet lexicographer file numbers:
 - 00: adj.all
 - 01: adj.pert
 - 02: adv.all
 - 03: noun.Tops
 - 04: noun.act
 - 05: noun.animal
 - 06: noun.artifact
 - 07: noun.attribute
 - 08: noun.body
 - 09: noun.cognition
 - 10: noun.communication
 - 11: noun.event
 - 12: noun.feeling
 - 13: noun.food
 - 14: noun.group
 - 15: noun.location
 - 16: noun.motive
 - 17: noun.object
 - 18: noun.person
 - 19: noun.phenomenon
 - 20: noun.plant
 - 21: noun.possession
 - 22: noun.process
 - 23: noun.quantity
 - 24: noun.relation
 - 25: noun.shape
 - 26: noun.state
 - 27: noun.substance
 - 28: noun.time
 - 29: verb.body
 ...

 So:
 - way%1:07:01 = noun.attribute - "how something is done or how it happens" - manner, mode
 - way%1:04:01 = noun.act - "how a result is obtained or an end is achieved" - means, agency

 In the context "It's the way to specify...", this is describing the method or means of specification. It is the mechanism (means) by which one achieves the specification of the bounded variable.

 However, "way to" + infinitive often selects for sense 1 (manner) in common parlance, but in technical contexts describing tools or syntax, it often aligns with sense 2 (means).

 Let me check the examples again:
 Sense 1 examples: "her dignified manner; his rapid manner of talking" - these describe qualities of actions.
 Sense 2 examples: "a means of control; an example is the best agency of instruction" - these describe instruments or methods for achieving outcomes.

 The phrase "way to specify" is functioning like "means to specify". The "-gt" symbol is the means/agency by which the specification happens.

 But I should also consider if it could be sense 1. "How something is done" - specifying the variable is done via "-gt". This is also plausible.

 However, looking at the distinction between manner and means:
 - Manner (sense 1): the style or fashion in which something is done (e.g., "in a careful way")
 - Means (sense 2): the instrument or agency used to achieve an end (e.g., "a way to make money")

 In "It is the way to specify...", the word "way" is being used to indicate the method or means available for specifying the variable. This aligns with sense 2.

 But wait, looking at the actual WordNet entries for these senses:
 Sense 1: "how something is done or how it happens" - this covers "the way he talks", "in a big way"
 Sense 2: "how a result is obtained or an end is achieved" - this covers "a means of control", "an example is the best agency of instruction"

 The phrase "the way to specify" is ambiguous, but in the context of describing syntax rules, it's indicating the prescribed method or means.

 However, looking at similar constructions in WordNet disambiguation tasks, "way" + infinitive ("way to do something") is often sense 1 when it means "manner", but can be sense 2 when it means "means".

 Actually, looking at the sentence structure: "It s the way to specify..."
 This is similar to "This is the way to do it" which is sense 1 (manner).
 But "Television is a way to reach people" might be sense 2 (means).

 Let me reconsider the specific context. This is about computer algebra systems (Maxima/Maple). The text explains syntax:
 "-gt: It's the way to specify the bounded variable in a function."

 This means: "-gt" is the syntax/method used to specify the bounded variable. It's the mechanism.

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

 Specifying the bounded variable is an action (doing something). The result is the specification. So both could fit.

 However, sense 2 specifically mentions "means, agency" as synonyms. The "-gt" symbol acts as an agency or instrument for the user to achieve the specification.

 But I think sense 1 is more general and commonly used for "method" in this context.

 Wait, looking at the examples provided for sense 1: "her dignified manner; his rapid manner of talking"
 These are about the quality/style of the action.

 For sense 2: "a means of control; an example is the best agency of instruction"
 These are about the instrument/channel.

 In "It is the way to specify...", we are identifying what instrument/syntax to use. This is more like sense 2.

 However, in many WSD datasets, "the way to" is annotated as sense 1.

 Let me think about the specific content. The text is listing syntax elements:
 "+ - * /: Addition..."
 "^, **: Power..."
 "-gt: It's the way to specify..."

 Here, "-gt" is being defined as the method/means of specification.

 Actually, looking at similar examples in WordNet:
 For sense 2 (way%1:04:01): "a means of control"
 For sense 1 (way%1:07:01): "in a big way", "in no way", "in a way"

 The phrase "the way to" is very commonly sense 1.

 But let's look at the target sentence again carefully: "It s the <t>way</t> to specify the bounded variable in a function."

 If I substitute synonyms:
 Sense 1 (manner): "It is the manner to specify..." - awkward, ungrammatical? "Manner" usually takes "in which", not "to".
 Sense 2 (means): "It is the means to specify..." - perfect fit.
 Sense 1 (mode): "It is the mode to specify..." - possible but less common.
 Sense 1 (fashion): "It is the fashion to specify..." - no, means style/trend.

 So syntactically, "way to" + infinitive selects for the "means" sense (sense 2) rather than the "manner" sense (sense 1).

 For example:
 "This is the way to do it" = "This is how to do it" (manner?) or "This is the means to do it"?
 Actually, "This is the way to do it" usually means "This is the correct method/manner of doing it."

 But "Television is a way to reach millions" = "Television is a means of reaching millions."

 The difference is subtle. In the first case, it's about the correct method (manner). In the second, it's about an available instrument (means).

 In the context of syntax documentation: "-gt is the way to specify..." means "-gt is the syntax used for specifying..." This is describing the mechanism/means.

 I think sense 2 is the better fit here because:
 1. The synonyms "means, agency" fit perfectly
 2. The definition "how a result is obtained or an end is achieved" fits - the end is specifying the bounded variable
 3. While sense 1 is possible, sense 2 captures the instrumental nature of the syntax symbol

 However, I should verify if there's any other sense that could fit.
 Sense 11: "a general category of things; used in the expression `in the way of'" - no, that's "in the way of", not "the way to".

 So it's between 1 and 2.

 Given that the user instruction says "Do not hedge" and "Choose the single best indexed sense", I need to make a decision.

 I will go with sense 2 (way%1:04:01) because the context describes a technical mechanism (the -gt symbol) as the means to achieve a specific end (specifying the bounded variable). The synonyms "means" and "agency" fit this context better than "manner" or "style" which imply qualitative aspects of behavior rather than instrumental functionality.

 Wait, looking at the sense index numbers in the list:
 1. sense_key=way%1:07:01::
 2. sense_key=way%1:04:01::
 ...

 So sense index 2 corresponds to way%1:04:01.

 But let me double-check by looking at the actual sentence structure once more.
 "Powers are one way to make roots too." - This is earlier in the text. "One way to make roots" - here "way" means "method/means" of making roots. This is sense 2.

 Then: "-gt: It s the way to specify..."
 This is parallel to "Powers are one way to make roots". Powers are a means of making roots. -gt is the means of specifying the variable.

 So yes, sense 2.

 Actually, looking at the first sentence: "Powers are one way to make roots too."
 If this were sense 1 (manner), it would be odd. You don't use powers as a manner/style of making roots. You use them as a method/means.

 So sense 2 is consistent with the preceding context as well.

 Therefore, the 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: specify
Target surface form: specify
Context:
I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to <t>specify</t> the bounded variable in a function. (): It is used to specify a higher priority.

Candidate senses:
1. sense_key=specify%2:32:03:: | definition=specify as a condition or requirement in a contract or agreement; make an express demand or provision in an agreement | synonyms=stipulate, qualify, condition | examples=The will stipulates that she can live in the house for the rest of her life; The contract stipulates the dates of the payments
2. sense_key=specify%2:32:02:: | definition=decide upon or fix definitely | synonyms=set, determine, define, fix, limit | examples=fix the variables; specify the parameters
3. sense_key=specify%2:42:00:: | definition=determine the essential quality of | synonyms=define, delineate, delimit, delimitate
4. sense_key=specify%2:32:00:: | definition=be specific about | synonyms=particularize, particularise, specialize, specialise | examples=Could you please specify your criticism of my paper?
5. sense_key=specify%2:31:02:: | definition=define clearly | synonyms=pin down, peg down, nail down, narrow down, narrow | examples=I cannot narrow down the rules for this game
6. sense_key=specify%2:31:00:: | definition=design or destine | synonyms=intend, destine, designate | examples=She was intended to become the director
7. sense_key=specify%2:31:05:: | definition=select something or someone for a specific purpose | synonyms=assign, set apart | examples=The teacher assigned him to lead his classmates in the exercise

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

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

 Context analysis:
 The sentence is: "-gt: It s the way to <t>specify</t> the bounded variable in a function."
 This appears to be technical documentation about programming/mathematical software syntax (Maxima and Maple).
 The context is about defining or setting variables in a function. Specifically, it's about indicating or identifying which variable is the bounded variable.

 Looking at the candidate senses:

 1. sense_key=specify%2:32:03:: - "specify as a condition or requirement in a contract or agreement" - This is about legal/contractual stipulations. Not relevant here.

 2. sense_key=specify%2:32:02:: - "decide upon or fix definitely" - synonyms: set, determine, define, fix, limit. Examples: "fix the variables; specify the parameters". This seems very relevant. In programming/mathematical contexts, specifying a variable means setting it, determining it, or fixing which variable is being used.

 3. sense_key=specify%2:42:00:: - "determine the essential quality of" - synonyms: define, delineate, delimit. This is more about defining the nature/essence of something rather than identifying a particular variable.

 4. sense_key=specify%2:32:00:: - "be specific about" - synonyms: particularize, specialize. This is about adding details or being more specific. While related, the context here is more about setting/identifying the variable rather than just being specific about it.

 5. sense_key=specify%2:31:02:: - "define clearly" - synonyms: pin down, nail down, narrow down. This is about clarifying or restricting the scope of something.

 6. sense_key=specify%2:31:00:: - "design or destine" - synonyms: intend, destine. Not relevant.

 7. sense_key=specify%2:31:05:: - "select something or someone for a specific purpose" - synonyms: assign, set apart. This could be close, but "assign" might be better for this sense.

 Now, looking closely at sense 2: "decide upon or fix definitely" with examples "fix the variables; specify the parameters". This matches the context of specifying the bounded variable in a function - you're determining or fixing which variable is the bounded one.

 Sense 7 "select something or someone for a specific purpose" is also close, but sense 2 seems more appropriate for technical/mathematical contexts where you're setting or determining parameters/variables.

 The phrase "specify the bounded variable" means to indicate or set which variable is bounded - this aligns with "decide upon or fix definitely" (sense 2) or potentially "define clearly" (sense 5).

 However, looking at the examples for sense 2: "fix the variables; specify the parameters" - this is exactly the kind of usage we see in the context. The context is about syntax for functions, variables, and parameters.

 Sense 5 examples: "I cannot narrow down the rules for this game" - this is more about restricting or clarifying boundaries.

 Sense 2 seems the best fit because:
 1. It involves technical usage with variables and parameters
 2. "Fix the variables" is semantically very close to "specify the bounded variable"
 3. The definition "decide upon or fix definitely" captures the act of determining which variable serves as the bounded variable in the function syntax.

 Wait, let me reconsider sense 7: "select something or someone for a specific purpose" with example "The teacher assigned him to lead..." - this is about assignment/selection for a role. In programming, we "assign" values, but here we're talking about specifying which variable is the bounded variable. This is more about definition/fixing than assignment.

 Actually, looking at WordNet sense keys:
 - specify%2:32:02:: is the sense for "set, determine, define, fix, limit" - this is the one used for parameters and variables.
 - specify%2:31:05:: is "assign, set apart" - this is different.

 The context: "-gt: It's the way to specify the bounded variable in a function."
 This is describing syntax. In mathematical/programming contexts, when you specify a variable, you are determining or fixing which identifier represents the bounded variable.

 I believe sense 2 (index 2) is the correct answer.

 Wait, I need to check the indexing. The user lists:
 1. sense_key=specify%2:32:03::
 2. sense_key=specify%2:32:02::
 3. sense_key=specify%2:42:00::
 4. sense_key=specify%2:32:00::
 5. sense_key=specify%2:31:02::
 6. sense_key=specify%2:31:00::
 7. sense_key=specify%2:31:05::

 So sense 2 is specify%2:32:02::.

 Let me double-check if any other sense could fit better.

 Sense 4: "be specific about" - Could work, but usually implies adding detail rather than setting a technical parameter.

 Sense 3: "determine the essential quality of" - Too abstract.

 Sense 5: "define clearly" - Close, but the examples suggest narrowing down possibilities rather than setting a variable.

 Sense 2's examples explicitly mention "fix the variables; specify the parameters" which is almost exactly the context here (specifying the bounded variable).

 Therefore, the answer should be 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: variable
Target surface form: variable
Context:
I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded <t>variable</t> in a function. (): It is used to specify a higher priority.

Candidate senses:
1. sense_key=variable%1:17:00:: | definition=something that is likely to vary; something that is subject to variation | examples=the weather is one variable to be considered
2. sense_key=variable%1:09:00:: | definition=a quantity that can assume any of a set of values | synonyms=variable quantity
3. sense_key=variable%1:17:01:: | definition=a star that varies noticeably in brightness | synonyms=variable star
4. sense_key=variable%1:10:00:: | definition=a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity

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

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

 Context analysis:
 - The text is discussing programming/mathematical syntax (maxima and maple - which are computer algebra systems)
 - It mentions: "-gt: It s the way to specify the bounded <t>variable</t> in a function."
 - This is talking about specifying a variable in a function, likely referring to a symbol used in mathematical or logical expressions.

 Candidate senses:
 1. variable%1:17:00:: - something that is likely to vary; something that is subject to variation (general thing that varies)
 2. variable%1:09:00:: - a quantity that can assume any of a set of values (variable quantity)
 3. variable%1:17:01:: - a star that varies noticeably in brightness (astronomy)
 4. variable%1:10:00:: - a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity

 The context mentions "specify the bounded variable in a function" in the context of mathematical software (Maxima and Maple). This is clearly referring to a symbol used in mathematical expressions to represent a variable quantity.

 Sense 4 specifically mentions "a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity" - this fits perfectly with the context of mathematical syntax and functions.

 Sense 2 is about "variable quantity" which is close, but the context specifically mentions syntax and symbols in functions, which aligns more with sense 4 (the symbol itself).

 Sense 1 is too general (weather as a variable).
 Sense 3 is about stars (astronomy), clearly wrong.

 So the best choice is sense 4 (index 4).

 Wait, let me check the indices:
 1. sense_key=variable%1:17:00::
 2. sense_key=variable%1:09:00::
 3. sense_key=variable%1:17:01::
 4. sense_key=variable%1:10:00::

 So sense_index should be 4.

 The context: "It s the way to specify the bounded variable in a function." In mathematical/programming contexts, a variable is a symbol that represents a value. This matches sense 4.

 Sense 2 (variable quantity) is the concept of something that varies, but in the context of syntax and specifying it in a function, it's referring to the symbol/token itself.

 Therefore, the answer is {"sense_index": 4}.


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

[User]
Target lemma: function
Target surface form: function
Context:
I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a <t>function</t>. (): It is used to specify a higher priority.

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the word "function" in a specific context.

Context analysis:
The context is about programming/mathematical software syntax (maxima and maple, which are computer algebra systems). The sentence mentions: "It s the way to specify the bounded variable in a <t>function</t>."

Looking at the surrounding context:
- Mentions of mathematical operations (+, -, *, /, ^, **)
- Powers and roots
- Bounded variables
- This is clearly in a mathematical/computational context

Candidate sense analysis:

1. sense_key=function%1:24:00:: - (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
   - This fits the mathematical context of Maple/Maxima (computer algebra systems)
   - "Bounded variable in a function" is mathematical terminology

2. sense_key=function%1:07:00:: - what something is used for
   - This is about purpose/use, not relevant here

3. sense_key=function%1:04:00:: - the actions and activities assigned to or required or expected of a person or group
   - About roles/duties of people, not relevant

4. sense_key=function%1:24:01:: - a relation such that one thing is dependent on another
   - Examples: "height is a function of age" - this is the "function of" construction indicating dependency
   - But the context here is about specifying bounded variables IN a function, not "X is a function of Y"

5. sense_key=function%1:14:00:: - a formal or official social gathering
   - Not relevant

6. sense_key=function%1:11:00:: - a vaguely specified social event
   - Not relevant

7. sense_key=function%1:10:00:: - a set sequence of steps, part of larger computer program
   - Synonyms: routine, subroutine, subprogram, procedure
   - This is computing/programming sense
   - While Maple/Maxima are computer programs, the specific mention of "bounded variable" strongly suggests the mathematical sense of function (mathematical relation between domain and range), not a programming subroutine
   - However, Maple/Maxima are programming languages too... need to decide between sense 1 and sense 7

Detailed analysis of context:
- "specify the bounded variable in a <t>function</t>"
- In mathematics, functions have bounded variables (variables bound by quantifiers or function definitions)
- In programming, we talk about parameters/arguments, not typically "bounded variables" (that's more formal language theory or mathematical logic)
- The context mentions mathematical syntax: maxima and maple (computer algebra systems), operations like +, -, *, /, powers, roots
- "Bounded variable" is terminology from mathematical logic/calculus referring to variables bound by operators or function definitions

Sense 1 (mathematical function) vs Sense 7 (programming subroutine):
- Maple and Maxima are indeed programming languages, but they are specifically designed for mathematical computation
- The phrase "bounded variable" is more characteristic of mathematical functions than programming subroutines (though lambda functions in programming can have bound variables)
- However, looking at the definition of sense 1: "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)" - this is the standard mathematical definition
- The context is explaining syntax for mathematical expressions: "It s the way to specify the bounded variable in a function"

Actually, looking more carefully at the context:
- The text is explaining syntax for Maxima and Maple (computer algebra systems)
- "-gt: It s the way to specify the bounded variable in a function"
- This sounds like it's describing how to write a function definition in these systems
- In computer algebra systems like Maple, you define mathematical functions
- But is it sense 1 (mathematical concept) or sense 7 (computing subroutine)?

In WordNet:
- Sense 1 is specifically the mathematical concept
- Sense 7 is the computing concept (subroutine, procedure)

Given that:
1. The context explicitly mentions mathematics (maxima, maple, addition, subtraction, power, roots)
2. The phrase "bounded variable" is mathematical terminology
3. While these are computer programs, they are mathematical computing environments where "function" means mathematical function implemented in software

However, sense 7 could also fit because Maple/Maxima are computer programs and the text is discussing syntax (computer syntax).

But let's look at the examples and synonyms:
- Sense 1: mathematical function, single-valued function, map, mapping
- Sense 7: routine, subroutine, subprogram, procedure

The context mentions "bounded variable" which is definitely mathematical terminology. In programming (general sense 7), we usually say "parameter" or "argument" or "local variable", not "bounded variable". "Bounded variable" (or bound variable) is specific to formal logic, mathematics, and theoretical computer science.

Also, the context is contrasting mathematical operations: "Addition, subtraction, multiplication and division... Power... roots... function". This sequence suggests the mathematical sense.

Therefore, sense 1 (function%1:24:00::) is the best choice.

Wait, let me double-check sense 4: "a relation such that one thing is dependent on another" - this is the "function of" idiom (e.g., "price is a function of supply"). The context is not using "function of" in this idiomatic way, but rather talking about defining a function with a bounded variable.

So the choice is between 1 and 7. Given the mathematical context and terminology ("bounded variable"), sense 1 is correct.

Final check: The context describes computer algebra systems (Maxima and Maple). In these systems, when you define a function, you are creating a mathematical function (sense 1) even though it's implemented in software. The definition refers to the mathematical relation between domain and range. The computing sense (sense 7) would be more about a subroutine or procedure in a general programming sense, but here the specific mathematical nature dominates.

Therefore: {"sense_index": 1}

provider: Moonshot AI


[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:
+ - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is <t>used</t> to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator.

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation (WSD) on the word "used" in the given context.

 Context analysis:
 The context is about programming/mathematical syntax. Specifically:
 - `^, **`: Power, you can use them both.
 - Also it is possible to use the unicode ² characters.
 - `()-gt`: It's the way to specify the bounded variable in a function.
 - `()`: It is <t>used</t> to specify a higher priority.
 - `abc(params)`: When the parser finds a function, it checks if abc is an operator.

 The target word "used" appears in: "It is used to specify a higher priority."
 Here, "()" (parentheses) are being described as having a purpose/function - they are employed/utilized for specifying higher priority in mathematical/programming expressions.

 Let's look at the candidate senses:

 1. sense_key=use%2:34:01:: | definition=put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
 - This sense means to employ something for a purpose. In the context, "()" are employed/utilized to specify higher priority. This fits well.

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

 3. sense_key=use%2:34:00:: | definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
 - This means to exhaust/deplete resources. Not applicable.

 4. sense_key=use%2:41:14:: | definition=seek or achieve an end by using to one's advantage | examples=She uses her influential friends to get jobs; The president's wife used her good connections
 - This implies exploiting something/someone for personal advantage. Not applicable to parentheses in a technical context.

 5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
 - This is about adopting practices or principles. Not quite right for employing a syntactic element.

 6. sense_key=use%2:41:03:: | definition=habitually do something (use only in the past tense) | examples=She used to call her mother every week but now she calls only occasionally; I used to get sick when I ate in that dining hall
 - This is the "used to" construction indicating past habits. The target is "used" in "It is used", which is passive voice, not the "used to" idiom.

 Therefore, sense 1 is the best fit. The context describes parentheses being put into service or employed for the particular purpose of specifying higher priority in mathematical/programming expressions.

 The sense index is 1 (based on the numbering in the candidate list).

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

 So index 1 corresponds to "put into service; make work or employ for a particular purpose..."

 The sentence "It is used to specify a higher priority" is clearly using "use" in the sense of employing/utilizing something for a purpose.

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

provider: StreamLake


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

[User]
Target lemma: specify
Target surface form: specify
Context:
+ - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to <t>specify</t> a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator.

Candidate senses:
1. sense_key=specify%2:32:03:: | definition=specify as a condition or requirement in a contract or agreement; make an express demand or provision in an agreement | synonyms=stipulate, qualify, condition | examples=The will stipulates that she can live in the house for the rest of her life; The contract stipulates the dates of the payments
2. sense_key=specify%2:32:02:: | definition=decide upon or fix definitely | synonyms=set, determine, define, fix, limit | examples=fix the variables; specify the parameters
3. sense_key=specify%2:42:00:: | definition=determine the essential quality of | synonyms=define, delineate, delimit, delimitate
4. sense_key=specify%2:32:00:: | definition=be specific about | synonyms=particularize, particularise, specialize, specialise | examples=Could you please specify your criticism of my paper?
5. sense_key=specify%2:31:02:: | definition=define clearly | synonyms=pin down, peg down, nail down, narrow down, narrow | examples=I cannot narrow down the rules for this game
6. sense_key=specify%2:31:00:: | definition=design or destine | synonyms=intend, destine, designate | examples=She was intended to become the director
7. sense_key=specify%2:31:05:: | definition=select something or someone for a specific purpose | synonyms=assign, set apart | examples=The teacher assigned him to lead his classmates in the exercise

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

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

Context analysis:
The context is about mathematical syntax and operators. The sentence is: "() It is used to <t>specify</t> a higher priority."
- The parentheses () are being described as having a function in mathematical expressions
- They are used to "specify" a higher priority (order of operations)
- This is about defining or setting the order/priority in a mathematical expression

Looking at the candidate senses:

1. sense_key=specify%2:32:03:: | definition=specify as a condition or requirement in a contract or agreement; make an express demand or provision in an agreement
   - This is about contracts/legal agreements. Not relevant to math syntax.

2. sense_key=specify%2:32:02:: | definition=decide upon or fix definitely | synonyms=set, determine, define, fix, limit | examples=fix the variables; specify the parameters
   - This involves fixing/defining something definitely. The example "specify the parameters" is very relevant. In math/programming context, parentheses are used to specify (set/determine) priority. This seems like a strong candidate.

3. sense_key=specify%2:42:00:: | definition=determine the essential quality of | synonyms=define, delineate, delimit, delimitate
   - This is about determining essential qualities/characteristics. Not exactly about setting priority.

4. sense_key=specify%2:32:00:: | definition=be specific about | synonyms=particularize, particularise, specialize, specialise | examples=Could you please specify your criticism of my paper?
   - This is about being explicit/detailed in communication. Not quite right for mathematical priority.

5. sense_key=specify%2:31:02:: | definition=define clearly | synonyms=pin down, peg down, nail down, narrow down, narrow | examples=I cannot narrow down the rules for this game
   - This is about narrowing down or clarifying definitions. Not the best fit.

6. sense_key=specify%2:31:00:: | definition=design or destine | synonyms=intend, destine, designate | examples=She was intended to become the director
   - About intention/destination. Not relevant.

7. sense_key=specify%2:31:05:: | definition=select something or someone for a specific purpose | synonyms=assign, set apart | examples=The teacher assigned him to lead his classmates in the exercise
   - About selecting/assigning. Not quite right for priority in math.

Sense 2 seems best:
- It involves fixing/defining definitely (setting the priority)
- The synonyms include set, determine, define, fix, limit
- The example "fix the variables; specify the parameters" aligns with the technical context of mathematical notation
- Parentheses in math are used to determine/fix the order of operations (priority)

Wait, let me reconsider the exact context: "It is used to specify a higher priority."
This means the parentheses are used to indicate or set that certain operations have higher priority.

Sense 2: "decide upon or fix definitely" - this matches because parentheses fix the priority of operations.
Sense 3: "determine the essential quality of" - this is more about defining what something is in essence.
Sense 5: "define clearly" - this could work, but sense 2 seems more about fixing/setting a value or condition, which fits "priority" better.

Actually, looking at the examples for sense 2: "fix the variables; specify the parameters"
And sense 5: "I cannot narrow down the rules for this game"

The context is about mathematical syntax where symbols are used to set/determine priority. "Fix definitely" or "set" seems most appropriate.

But let me look at sense 3 again: "determine the essential quality of" - no, that's not right.
Sense 4: "be specific about" - this is about communication clarity.

Sense 2 is definitely the best fit. The parentheses are used to set/fix/determine the priority (order) of operations.

Wait, looking at the sense indices in the candidate list:
1. sense_key=specify%2:32:03::
2. sense_key=specify%2:32:02::
3. sense_key=specify%2:42:00::
4. sense_key=specify%2:32:00::
5. sense_key=specify%2:31:02::
6. sense_key=specify%2:31:00::
7. sense_key=specify%2:31:05::

The user wants the "sense_index" which appears to be the number in the list (1-7), not the WordNet offset or lexicographer file number.

So the answer should be {"sense_index": 2}.

Let me double-check by looking at the WordNet definitions for specify:

From WordNet:
- specify (v.) 2:32:02 - "decide upon or fix definitely" - "specify the parameters"
- specify (v.) 2:32:03 - "specify as a condition..." - stipulate
- specify (v.) 2:42:00 - "determine the essential quality of"
- specify (v.) 2:32:00 - "be specific about"
- specify (v.) 2:31:02 - "define clearly" - nail down
- specify (v.) 2:31:00 - "design or destine"
- specify (v.) 2:31:05 - "select something or someone for a specific purpose"

Yes, sense 2 (decide upon or fix definitely) is the correct one for the context of mathematical notation where parentheses are used to set/fix the priority of operations.

The example "specify the parameters" in sense 2 is particularly relevant because in the context, -gt is used to specify the bounded variable (which is similar to specifying parameters), and () is used to specify priority.

Final answer: {"sense_index": 2}

provider: DigitalOcean


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

[User]
Target lemma: high
Target surface form: higher
Context:
+ - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a <t>higher</t> priority. abc(params): When the parser finds a function, it checks if abc is an operator.

Candidate senses:
1. sense_key=high%3:00:02:: | definition=greater than normal in degree or intensity or amount | examples=a high temperature; a high price
2. sense_key=high%3:00:01:: | definition=(literal meaning) being at or having a relatively great or specific elevation or upward extension (sometimes used in combinations like `knee-high') | examples=a high mountain; high ceilings
3. sense_key=high%5:00:00:superior:01 | definition=standing above others in quality or position | synonyms=eminent | examples=people in high places; the high priest
4. sense_key=high%3:00:03:: | definition=used of sounds and voices; high in pitch or frequency | synonyms=high-pitched
5. sense_key=high%5:00:00:elated:00 | definition=happy and excited and energetic | synonyms=in high spirits
6. sense_key=high%5:00:00:malodorous:00 | definition=(used of the smell of meat) smelling spoiled or tainted | synonyms=gamey, gamy
7. sense_key=high%5:00:00:intoxicated:00 | definition=slightly and pleasantly intoxicated from alcohol or a drug (especially marijuana) | synonyms=mellow

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

reasoning_content:
 The user wants me to perform Word Sense Disambiguation for the word "higher" (lemma: high) in the given context.

Context analysis:
The sentence is: "(): It is used to specify a <t>higher</t> priority."

The context is about mathematical operations and syntax in some programming or mathematical notation system. The parentheses "()" are being described as a way to specify "higher priority" - this refers to operator precedence or priority in evaluation order.

Looking at the candidate senses:

1. sense_key=high%3:00:02:: | definition=greater than normal in degree or intensity or amount | examples=a high temperature; a high price
   - This could potentially fit "higher priority" as in greater degree of priority, but let's check others.

2. sense_key=high%3:00:01:: | definition=(literal meaning) being at or having a relatively great or specific elevation or upward extension | examples=a high mountain; high ceilings
   - This is the literal spatial/physical height sense. "Higher priority" is not about physical elevation.

3. sense_key=high%5:00:00:superior:01 | definition=standing above others in quality or position | synonyms=eminent | examples=people in high places; the high priest
   - This refers to rank, status, or position. "Higher priority" could fit here - priority is a ranking/ordering concept. Something with higher priority stands above others in the order of precedence.

4. sense_key=high%3:00:03:: | definition=used of sounds and voices; high in pitch or frequency
   - Not relevant to priority.

5. sense_key=high%5:00:00:elated:00 | definition=happy and excited and energetic
   - Not relevant.

6. sense_key=high%5:00:00:malodorous:00 | definition=(used of the smell of meat) smelling spoiled or tainted
   - Not relevant.

7. sense_key=high%5:00:00:intoxicated:00 | definition=slightly and pleasantly intoxicated
   - Not relevant.

So it's between sense 1 (greater than normal in degree/intensity/amount) and sense 3 (standing above others in quality or position).

"Higher priority" means having precedence over other operations or having a higher rank in the order of operations.

Sense 3 (high%5:00:00:superior:01) is defined as "standing above others in quality or position" with synonyms like "eminent" and examples like "people in high places". This seems to capture the hierarchical/ranking aspect of priority.

However, sense 1 (high%3:00:02::) is "greater than normal in degree or intensity or amount". Priority is often talked about in terms of degree (high priority vs low priority).

But looking at the specific context: "specify a higher priority" in the context of mathematical operations and parentheses. In programming and mathematics, "priority" or "precedence" refers to the order in which operations are evaluated. Parentheses give an operation higher priority/precedence.

The word "priority" here refers to precedence ranking. When we say "higher priority", we mean it takes precedence over others, it ranks above others.

Sense 3 specifically mentions "standing above others in... position" which aligns with the concept of priority ranking.

But let me reconsider. In WordNet, "high" has many senses. The sense "high priority" is often classified under the "greater than normal in degree" sense or the "superior" sense?

Looking at the examples:
- Sense 1: "a high temperature; a high price" - these are scalar values
- Sense 3: "people in high places; the high priest" - these are about rank/status

"Priority" is abstract but relates to precedence order. "High priority" items are those that come first, that are more important, that take precedence.

Actually, looking carefully at the context: "It is used to specify a higher priority." This is about operator precedence in parsing mathematical expressions. Parentheses are used to give something higher priority (precedence).

In computational linguistics and WordNet, "high" when referring to priority or precedence is typically sense 1 (greater in degree) or sense 3 (superior in rank).

But "priority" itself is a ranking/ordering concept. However, the phrase "high priority" is often considered to be about the degree of importance.

Wait, I need to look at the specific sense keys and WordNet structure.

high%3:00:02:: is the "greater than normal in degree or intensity or amount" sense - this is a very general sense used for abstract qualities.

high%5:00:00:superior:01 is the "standing above others in quality or position" sense - this is about hierarchical superiority.

In the context of operator precedence, "higher priority" means it gets evaluated first, it takes precedence. This is about the position in a hierarchy (the order of operations).

However, looking at the examples for sense 3: "people in high places; the high priest" - these are about social/status hierarchy.

For sense 1: "a high temperature; a high price" - these are about magnitude.

Priority can be viewed both ways, but in technical contexts like operator precedence, it's about the ordering/ranking (hierarchy).

But actually, looking at standard WordNet mappings, "high priority" is usually mapped to sense 1 (the general "greater in degree" sense) rather than the "superior" sense. The "superior" sense is more about eminence or high status/rank in a social or qualitative hierarchy.

Let me reconsider the context more carefully. The text says: "(): It is used to specify a higher priority."

This means parentheses are used to indicate that the enclosed operation should be performed with higher priority (before other operations).

This is about precedence ordering. In computer science and mathematics, operator precedence defines the order of operations. Higher precedence/priority means it binds tighter or evaluates first.

Is this "standing above others in position" (sense 3) or "greater than normal in degree" (sense 1)?

I think sense 1 is more appropriate because:
1. "Priority" is being used as a measurable property (you can have higher or lower priority)
2. It's analogous to "high temperature" or "high price" - a scalar value on a scale
3. While there is an ordering involved, it's not about social status or eminence (which is what sense 3 emphasizes with "eminent" and "high priest")

However, sense 3 could also fit because "standing above others" captures the precedence aspect.

But looking at the WordNet sense distinctions:
- Sense 3 (superior) is specifically about "standing above others in quality or position" - this is the "superior" sense.
- Sense 1 is the general "greater in degree/intensity/amount" sense.

In WordNet, "high" when modifying abstract nouns like "priority", "speed", "frequency", "importance" typically uses sense 1 (the general scalar sense), unless it's specifically about hierarchical rank (like "high official", "high command").

"High priority" is generally considered to be sense 1.

But let me check if there's a specific sense for precedence... No, the candidates are limited to these 7.

Between 1 and 3:
- The context is technical (mathematical operations, parsing)
- "Priority" here refers to operator precedence
- This is about the order of evaluation - which operation comes first

Actually, looking at the synonyms and examples again:
Sense 3: synonyms=eminent, examples=people in high places; the high priest
This is clearly about status, rank, eminence.

Sense 1: examples=a high temperature; a high price
This is about magnitude/degree.

"Priority" in the context of operator precedence is about the precedence level - a numerical or ordinal ranking. But "higher priority" means greater precedence.

I think sense 1 is the better fit because:
1. It's the default sense for abstract scalar properties
2. Sense 3 is specifically about eminence and social/professional standing (as indicated by "eminent" and the examples)
3. While operator precedence involves ordering, "priority" as a property is being treated as a scalar value (higher vs lower)

However, I should consider if "priority" could be interpreted as "position" in sense 3. "Standing above others in... position" - if something has higher priority, it stands above others in the processing order/position.

But the examples for sense 3 ("high priest", "high places") suggest a very specific type of social/institutional hierarchy, not technical ordering.

Therefore, sense 1 seems most appropriate.

Wait, I need to be careful. The word is "higher" (comparative). The definitions given are for "high" (positive), but apply to the comparative form.

Let me reconsider sense 3 vs sense 1 one more time.

In WordNet:
- high%3:00:02:: corresponds to "high" in "high temperature", "high price", "high speed"
- high%5:00:00:superior:01 corresponds to "high" in "high official", "high command", "high priest"

"High priority" is more like "high speed" than "high priest". It's about the level/degree of priority, not about holding a high rank in an organization.

Therefore, the answer should be sense 1.

But I want to double-check: is there any chance sense 3 is correct? "Standing above others in quality or position" - in a queue/priority queue, an item with higher priority stands above others...

However, WordNet sense 3 is specifically linked to the concept of "superior" (as indicated by the sense key high%5:00:00:superior:01). The "superior" sense in WordNet is about being of higher rank or status.

In computational contexts, "high priority" is not about social status but about the magnitude of the priority value.

So I'll go with sense 1.

One final check: the context mentions "specify a higher priority" in the context of mathematical syntax. This is about operator precedence. In formal language theory, precedence is often described as priority levels. Higher priority = binds tighter.

This is definitely the scalar/degree sense (sense 1), not the social rank sense (sense 3).

Decision: sense_index: 1