[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: convert
Target surface form: converted
Context:
Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>converted</t> 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.

Candidate senses:
1. sense_key=convert%2:30:00:: | definition=change from one system to another or to a new plan or policy | synonyms=change over | examples=We converted from 220 to 110 Volt
2. sense_key=convert%2:30:03:: | definition=change the nature, purpose, or function of something | examples=convert lead into gold; convert hotels into jails
3. sense_key=convert%2:30:01:: | definition=change religious beliefs, or adopt a religious belief | examples=She converted to Buddhism
4. sense_key=convert%2:30:02:: | definition=exchange or replace with another, usually of the same kind or category | synonyms=change, exchange, commute | examples=Could you convert my dollars into pounds?; He changed his name
5. sense_key=convert%2:30:07:: | definition=cause to adopt a new or different faith | examples=The missionaries converted the Indian population
6. sense_key=convert%2:33:02:: | definition=score an extra point or points after touchdown by kicking the ball through the uprights or advancing the ball into the end zone | examples=Smith converted and his team won
7. sense_key=convert%2:33:01:: | definition=complete successfully | examples=score a penalty shot or free throw
8. sense_key=convert%2:33:00:: | definition=score (a spare)
9. sense_key=convert%2:32:00:: | definition=make (someone) agree, understand, or realize the truth or validity of something | synonyms=win over, convince | examples=He had finally convinced several customers of the advantages of his product
10. sense_key=convert%2:30:09:: | definition=exchange a penalty for a less severe one | synonyms=commute, exchange
11. sense_key=convert%2:30:04:: | definition=change in nature, purpose, or function; undergo a chemical change | examples=The substance converts to an acid

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

reasoning_content:
The target word is "converted" in the 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."
The context is about changing the input (text/functions) into MathML (a different system/format).
Let's look at the candidate senses:
1. change from one system to another or to a new plan or policy (e.g., We converted from 220 to 110 Volt)
2. change the nature, purpose, or function of something (e.g., convert lead into gold; convert hotels into jails)
4. exchange or replace with another, usually of the same kind or category (e.g., Could you convert my dollars into pounds?)
11. change in nature, purpose, or function; undergo a chemical change (e.g., The substance converts to an acid)

Wait, "convert into MathML" is changing from one system (input syntax) to another (MathML).
Sense 1: change from one system to another or to a new plan or policy.
Sense 2: change the nature, purpose, or function of something.
Sense 4: exchange or replace with another, usually of the same kind or category.

Let's read the context again: "our input is being converted into MathML".
Is it changing from one system to another? Yes, from the custom syntax to MathML.
Let's check sense 1: "change from one system to another or to a new plan or policy".
Wait, sense 1 is "change from one system to another or to a new plan or policy".
Sense 2: "change the nature, purpose, or function of something".
Sense 4: "exchange or replace with another, usually of the same kind or category".

Actually, converting text to MathML is changing it from one format/system to another.
Let's consider "convert into".
"convert lead into gold" (sense 2)
"convert my dollars into pounds" (sense 4)
"convert from 220 to 110 Volt" (sense 1)

Wait, "convert into MathML" is changing the format.
Is it sense 1 or sense 2?
"change from one system to another or to a new plan or policy" -> "We converted from 220 to 110 Volt"
"change the nature, purpose, or function of something" -> "convert lead into gold; convert hotels into jails"
"exchange or replace with another, usually of the same kind or category" -> "Could you convert my dollars into pounds?"

Wait, converting input into MathML is changing the representation.
Let's look at sense 1: "change from one system to another or to a new plan or policy".
Is it sense 1? "change from one system to another"
Or sense 2: "change the nature, purpose, or function of something"
Or sense 4: "exchange or replace with another, usually of the same kind or category"

Let's look at WordNet for "convert".
convert%2:30:00:: change from one system to another or to a new plan or policy
convert%2:30:01:: change religious beliefs, or adopt a religious belief
convert%2:30:02:: exchange or replace with another, usually of the same kind or category
convert%2:30:03:: change the nature, purpose, or function of something
convert%2:30:04:: change in nature, purpose, or function; undergo a chemical change
convert%2:30:07:: cause to adopt a new or different faith
convert%2:30:09:: exchange a penalty for a less severe one

"our input is being converted into MathML"
This is changing the format/system.
"change from one system to another" fits "convert into MathML" (from plain text to MathML).
Wait, "convert into" is often sense 2 or 4.
"convert my dollars into pounds" is sense 4.
"convert lead into gold" is sense 2.
"convert hotels into jails" is sense 2.
"convert from 220 to 110 Volt" is sense 1.

Is converting input to MathML changing from one system to another? Yes, from the input syntax to MathML.
Let's check if there is a better fit.
"change from one system to another or to a new plan or policy"
"change the nature, purpose, or function of something"
"exchange or replace with another, usually of the same kind or category"

If I say "convert the file into PDF", is it sense 1 or 2?
In WordNet, "convert" as in "convert a file" might be sense 1 or 2.
Wait, "change from one system to another" -> "We converted from 220 to 110 Volt".
What about "convert the data into a different format"?
Let's search for "convert" in WordNet.
convert%2:30:00:: change from one system to another or to a new plan or policy
convert%2:30:02:: exchange or replace with another, usually of the same kind or category
convert%2:30:03:: change the nature, purpose, or function of something

"our input is being converted into MathML"
Input is a system of notation. MathML is another system of notation.
So "change from one system to another" (sense 1) seems very appropriate.
Let's re-read sense 1: "change from one system to another or to a new plan or policy"
Sense 2: "change the nature, purpose, or function of something"
Sense 4: "exchange or replace with another, usually of the same kind or category"

Wait, "convert into" is used in sense 2 ("convert lead into gold") and sense 4 ("convert my dollars into pounds").
But "convert from one system to another" is sense 1.
Is MathML a system? Yes, "MathML oriented", "converted into MathML".
"change from one system to another" -> "We converted from 220 to 110 Volt".
Is it sense 1?
Let's consider "convert" in the context of data formats.
"convert the file to PDF"
WordNet might classify this under sense 1 or 2.
Actually, if it's "change from one system to another", it fits "convert into MathML" perfectly because MathML is a markup language system, and the input is another system (custom syntax).
Let's check sense 1 again. "change from one system to another or to a new plan or policy".
Could it be sense 2? "change the nature, purpose, or function of something". The nature of the input doesn't change, just its representation/system.
Could it be sense 4? "exchange or replace with another, usually of the same kind or category". "Could you convert my dollars into pounds?" This is exchanging currency.
I think sense 1 is the best fit for changing from one notation system to another.

Wait, looking at the exact phrase "converted into MathML", it might be sense 1.
Let's consider "convert" in the context of "convert from one system to another".
"our input is being converted into MathML"
"change from one system to another"
Yes, "system" is explicitly mentioned in sense 1. MathML is a system.
Let's choose sense 1.
Wait, let's look at sense 1: "change from one system to another or to a new plan or policy".
Is there any other sense?
"convert%2:30:00::"
Let's double check if "convert into" is typically sense 1.
"convert from X to Y" is sense 1.
"convert X into Y" might be sense 2 or 4.
But "change from one system to another" is the definition of sense 1.
"our input is being converted into MathML" -> changing the input from one system (custom syntax) to another (MathML).
I will go with sense 1.
Wait, let's re-read sense 1: "change from one system to another or to a new plan or policy".
Is "convert into" covered by sense 1? Yes, "change from one system to another".
Let's consider sense 2: "change the nature, purpose, or function of something".
Does the input change its nature? No, it's the same mathematical expression, just in a different system (MathML).
So sense 1 is the most accurate.
Let's review the options.
1. sense_key=convert%2:30:00:: | definition=change from one system to another or to a new plan or policy
2. sense_key=convert%2:30:03:: | definition=change the nature, purpose, or function of something
4. sense_key=convert%2:30:02:: | definition=exchange or replace with another, usually of the same kind or category

I'll choose 1.
Wait, "convert into" is often sense 2. "convert lead into gold".
But "change from one system to another" is exactly what converting text to MathML is.
I'll output 1.
Let's think if 1 is better than 2.
"change from one system to another" -> "We converted from 220 to 110 Volt".
"our input is being converted into MathML" -> changing from the input syntax system to the MathML system.
Yes, 1 is the best.


attempt_kind: initial

status: success

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

[User]
Target lemma: necessary
Target surface form: necessary
Context:
Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>necessary</t> to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Candidate senses:
1. sense_key=necessary%3:00:00:: | definition=absolutely essential
2. sense_key=necessary%5:00:00:inevitable:00 | definition=unavoidably determined by prior circumstances | examples=the necessary consequences of one's actions

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

finish_reason: stop

role: assistant

reasoning_content:
The target word is "necessary".
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."
Meaning: It is not absolutely essential to know MathML.
Candidate senses:
1. sense_key=necessary%3:00:00:: | definition=absolutely essential
2. sense_key=necessary%5:00:00:inevitable:00 | definition=unavoidably determined by prior circumstances | examples=the necessary consequences of one's actions

Sense 1 fits perfectly: "absolutely essential". It is not absolutely essential to know MathML.
Sense 2 is about inevitability, which doesn't fit here.

Therefore, the best sense is 1.
I will return {"sense_index": 1}.

format: unknown

native_finish_reason: stop

provider: Alibaba

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: know
Target surface form: know
Context:
Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>know</t> MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Candidate senses:
1. sense_key=know%2:31:01:: | definition=be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about | synonyms=cognize, cognise | examples=I know that the President lied to the people; I want to know who is winning the game!
2. sense_key=know%2:31:03:: | definition=know how to do or perform something | examples=She knows how to knit; Does your husband know how to cook?
3. sense_key=know%2:31:02:: | definition=be aware of the truth of something; have a belief or faith in something; regard as true beyond any doubt | examples=I know that I left the key on the table; Galileo knew that the earth moves around the sun
4. sense_key=know%2:31:00:: | definition=be familiar or acquainted with a person or an object | examples=She doesn't know this composer; Do you know my sister?
5. sense_key=know%2:31:04:: | definition=have firsthand knowledge of states, situations, emotions, or sensations | synonyms=experience, live | examples=I know the feeling!; have you ever known hunger?
6. sense_key=know%2:31:06:: | definition=accept (someone) to be what is claimed or accept his power and authority | synonyms=acknowledge, recognize, recognise | examples=The Crown Prince was acknowledged as the true heir to the throne; We do not recognize your gods
7. sense_key=know%2:31:15:: | definition=have fixed in the mind | examples=I know Latin; This student knows her irregular verbs
8. sense_key=know%2:35:00:: | definition=have sexual intercourse with | synonyms=sleep together, roll in the hay, love, make out, make love, sleep with | examples=This student sleeps with everyone in her dorm; Adam knew Eve
9. sense_key=know%2:31:11:: | definition=know the nature or character of | examples=we all knew her as a big show-off
10. sense_key=know%2:31:12:: | definition=be able to distinguish, recognize as being different | examples=The child knows right from wrong
11. sense_key=know%2:31:14:: | definition=perceive as familiar | examples=I know this voice!

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

reasoning_content:
The target word is "know" in the 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."
The context is about having knowledge of a subject (MathML).
Let's look at the candidate senses:
1. be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about. (I know that the President lied...)
2. know how to do or perform something. (She knows how to knit)
3. be aware of the truth of something; have a belief or faith in something.
4. be familiar or acquainted with a person or an object.
5. have firsthand knowledge of states, situations, emotions, or sensations.
6. accept (someone) to be what is claimed or accept his power and authority.
7. have fixed in the mind. (I know Latin; This student knows her irregular verbs)
8. have sexual intercourse with.
9. know the nature or character of.
10. be able to distinguish, recognize as being different.
11. perceive as familiar.

"know MathML" is similar to "know Latin" or "know her irregular verbs". It means having fixed in the mind, or possessing knowledge of a subject.
Wait, let's re-read sense 7: "have fixed in the mind" -> "I know Latin; This student knows her irregular verbs".
Is "know MathML" about having fixed in the mind? Yes, knowing a language or a markup language.
Let's check sense 1: "be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about".
Is "know MathML" more like "know Latin" (sense 7) or "possess knowledge or information about" (sense 1)?
"know MathML" -> MathML is a language. "I know Latin" is sense 7.
Let's see: "it is not necessary to know MathML."
Sense 7: "have fixed in the mind" -> "I know Latin".
Sense 1: "possess knowledge or information about".
Actually, knowing a language or a formal system is often sense 7.
Let's check WordNet for "know".
know%2:31:15:: have fixed in the mind. "I know Latin"; "This student knows her irregular verbs".
Is MathML a language? Yes, Mathematical Markup Language.
So "know MathML" is like "know Latin".
Let's consider sense 1: "I know that the President lied to the people; I want to know who is winning the game!"
Sense 7 fits "know [a language/subject]".
Let's double check if there's any other sense.
"know how to do or perform something" (sense 2) - "know how to use MathML" would be sense 2, but it says "know MathML".
"have fixed in the mind" (sense 7) is the standard WordNet sense for knowing a language or a body of knowledge (like irregular verbs).
Therefore, sense 7 is the best fit.
Let's review the context: "it is not necessary to know MathML."
Synonyms for sense 7: none listed, but examples are "I know Latin".
I will choose sense 7.
Wait, let's look at sense 1 again. "possess knowledge or information about".
But "know Latin" is specifically sense 7. MathML is a markup language, so "know MathML" is analogous to "know Latin".
I'll go with 7.
Let's re-read the context carefully: "although it is not necessary to know MathML."
Yes, sense 7.


[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: base
Target surface form: based
Context:
Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>based</t> 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.

Candidate senses:
1. sense_key=base%2:31:00:: | definition=use as a basis for; found on | synonyms=establish, ground, found | examples=base a claim on some observation
2. sense_key=base%2:42:04:: | definition=situate as a center of operations | examples=we will base this project in the new lab
3. sense_key=base%2:34:00:: | definition=use (purified cocaine) by burning it and inhaling the fumes | synonyms=free-base

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

reasoning_content:
The target word is "based" (lemma: base).
Context: "I have based the syntax basically on common sense, it should not be hard for anyone."
Meaning: to use as a basis for; found on.
Candidate senses:
1. sense_key=base%2:31:00:: | definition=use as a basis for; found on | synonyms=establish, ground, found | examples=base a claim on some observation
2. sense_key=base%2:42:04:: | definition=situate as a center of operations | examples=we will base this project in the new lab
3. sense_key=base%2:34:00:: | definition=use (purified cocaine) by burning it and inhaling the fumes | synonyms=free-base

Sense 1 matches "based the syntax basically on common sense".
Sense 1 is the best fit.
Output format: {"sense_index": 1}


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

[User]
Target lemma: hard
Target surface form: hard
Context:
Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>hard</t> for anyone. I ve looked closely to maxima and maple s syntax so they look very similar.

Candidate senses:
1. sense_key=hard%3:00:06:: | definition=not easy; requiring great physical or mental effort to accomplish or comprehend or endure | synonyms=difficult | examples=a difficult task; nesting places on the cliffs are difficult of access
2. sense_key=hard%3:00:02:: | definition=dispassionate | examples=took a hard look; a hard bargainer
3. sense_key=hard%3:00:01:: | definition=resisting weight or pressure
4. sense_key=hard%5:00:00:strong:00 | definition=very strong or vigorous | synonyms=knockout, severe | examples=strong winds; a hard left to the chin
5. sense_key=hard%5:00:01:effortful:00 | definition=characterized by effort to the point of exhaustion; especially physical effort | synonyms=arduous, backbreaking, grueling, gruelling, heavy, laborious | examples=worked their arduous way up the mining valley; a grueling campaign
6. sense_key=hard%3:00:00:: | definition=produced without vibration of the vocal cords | synonyms=unvoiced, voiceless, surd | examples=unvoiced consonants such as `p' and `k' and `s'
7. sense_key=hard%3:00:05:: | definition=(of light) transmitted directly from a pointed light source | synonyms=concentrated
8. sense_key=hard%3:00:03:: | definition=(of speech sounds); produced with the back of the tongue raised toward or touching the velum | examples=Russian distinguished between hard consonants and palatalized or soft consonants
9. sense_key=hard%5:00:00:indulgent:00 | definition=given to excessive indulgence of bodily appetites especially for intoxicating liquors | synonyms=intemperate, heavy | examples=a hard drinker
10. sense_key=hard%5:00:00:alcoholic:00 | definition=being distilled rather than fermented; having a high alcoholic content | synonyms=strong | examples=hard liquor
11. sense_key=hard%5:00:00:bad:00 | definition=unfortunate or hard to bear | synonyms=tough | examples=had hard luck; a tough break
12. sense_key=hard%5:00:00:stale:00 | definition=dried out | examples=hard dry rolls left over from the day before

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 "hard" in the given context.
Context: "I have based the syntax basically on common sense, it should not be <t>hard</t> for anyone."
The word "hard" here means "not easy; requiring great physical or mental effort to accomplish or comprehend or endure".
Let's check the candidate senses:
1. sense_key=hard%3:00:06:: | definition=not easy; requiring great physical or mental effort to accomplish or comprehend or endure | synonyms=difficult | examples=a difficult task; nesting places on the cliffs are difficult of access
This perfectly matches the context "it should not be hard for anyone" (meaning it should not be difficult).

Let's double check.
"it should not be hard for anyone" -> it should not be difficult for anyone.
Sense 1 is the correct sense.

Output format: {"sense_index": 1}
I will output exactly this JSON.


[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: closely
Target surface form: closely
Context:
kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>closely</t> to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division.

Candidate senses:
1. sense_key=closely%4:02:00:: | definition=in a close relation or position in time or space | examples=the onsets were closely timed; houses set closely together
2. sense_key=closely%4:02:02:: | definition=in an attentive manner | synonyms=close, tight | examples=he remained close on his guard
3. sense_key=closely%4:02:01:: | definition=in a close manner | synonyms=intimately, nearly | examples=the two phenomena are intimately connected; the person most nearly concerned

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

reasoning_content:
The target word is "closely".
Context: "I ve looked closely to maxima and maple s syntax so they look very similar."
The author is saying they looked closely at Maxima and Maple's syntax, meaning they examined it attentively or in detail, or they modeled it closely (in a close manner).
Wait, "looked closely to maxima and maple's syntax" -> "looked closely at" (probably a typo for "at" or "to" meaning "towards").
Let's check the senses:
1. in a close relation or position in time or space (e.g., closely timed, set closely together)
2. in an attentive manner (e.g., he remained close on his guard)
3. in a close manner (e.g., intimately, nearly)

Wait, "looked closely to maxima and maple's syntax" -> "I have looked closely to maxima and maple's syntax so they look very similar."
Does it mean "I examined it attentively" or "I modeled it closely"?
If it means "I examined it attentively", sense 2 fits "in an attentive manner".
If it means "I modeled it closely" (i.e., in a close manner, nearly), sense 3 fits "in a close manner" (intimately, nearly).
Let's re-read: "I ve looked closely to maxima and maple s syntax so they look very similar."
Actually, "looked closely to" might mean "paid close attention to" or "modeled closely after".
Wait, "looked closely to" -> "looked closely at" -> examined attentively.
Or maybe "I've looked closely to maxima and maple's syntax" -> "I have based the syntax basically on common sense... I've looked closely to maxima and maple's syntax so they look very similar."
If it means "I have modeled it closely after", then "closely" modifies "looked" in the sense of "resembled" or "modeled"? No, "looked" here might be a non-native speaker's way of saying "I have looked closely at Maxima and Maple's syntax" (meaning I studied it attentively) OR "I have made it look closely to Maxima and Maple's syntax".
Wait, "so they look very similar" implies the result is that they look similar.
If I say "I looked closely to X", it might mean "I paid close attention to X".
Let's consider sense 2: "in an attentive manner" (synonyms: close, tight). Example: "he remained close on his guard".
Sense 3: "in a close manner" (synonyms: intimately, nearly). Example: "the two phenomena are intimately connected; the person most nearly concerned".
If the author means "I have looked closely at Maxima and Maple's syntax", it means they examined it attentively.
Let's search for the exact phrase: "I ve looked closely to maxima and maple s syntax so they look very similar."
This is from Kalgebra documentation.
"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."
Actually, "looked closely to" might be a typo for "modeled closely to" or "kept it closely to". But "looked closely to" probably means "paid close attention to" or "examined closely".
Wait, if it means "examined closely", sense 2 is "in an attentive manner".
Let's check sense 2: "in an attentive manner".
Let's check sense 3: "in a close manner" (intimately, nearly).
If I say "I looked closely at the painting", it means I examined it attentively.
So sense 2 is the best fit.

Let's rethink: does "looked closely to" mean "resembled closely"? No, "looked" is the verb. "I have looked closely to maxima and maple's syntax".
If it means "I have looked closely at", then "closely" = attentively.
Sense 2: in an attentive manner.
Let's consider if "closely" could mean "nearly" (sense 3). "I have looked nearly to maxima..." No, that doesn't make sense.
"I have looked closely to maxima..." -> "I have paid close attention to maxima..." -> attentive manner.
Therefore, sense 2.
Let's double check sense 2 vs sense 3.
Sense 2: in an attentive manner. Synonyms: close, tight. Examples: he remained close on his guard.
Sense 3: in a close manner. Synonyms: intimately, nearly. Examples: the two phenomena are intimately connected.
"looked closely" -> examined attentively.
Yes, "look closely" is a common collocation for "examine attentively".
So sense 2.
Wait, "looked closely to" might be a non-native phrasing for "kept it closely to" or "made it look closely to". But "looked" is the verb. "I've looked closely to maxima and maple's syntax".
If the author meant "I have made it look closely like", they would say "I have made it look closely like".
"looked closely to" -> "paid close attention to".
I will go with sense 2.
Let's review the options.
1. in a close relation or position in time or space
2. in an attentive manner
3. in a close manner
"looked closely" -> attentive manner.
I'll select 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: look
Target surface form: look
Context:
kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>look</t> very similar. + - * /: Addition, subtraction, multiplication and division.

Candidate senses:
1. sense_key=look%2:39:00:: | definition=perceive with attention; direct one's gaze towards | examples=She looked over the expanse of land; Look at your child!
2. sense_key=look%2:39:01:: | definition=give a certain impression or have a certain outward aspect | synonyms=appear, seem | examples=She seems to be sleeping; This appears to be a very difficult problem
3. sense_key=look%2:29:00:: | definition=have a certain outward or facial expression | examples=How does she look?; The child looks unhappy
4. sense_key=look%2:39:02:: | definition=search or seek | synonyms=search | examples=We looked all day and finally found the child in the forest; Look elsewhere for the perfect gift!
5. sense_key=look%2:42:00:: | definition=be oriented in a certain direction, often with respect to another reference point; be opposite to | synonyms=front, face | examples=The house looks north; My backyard look onto the pond
6. sense_key=look%2:41:13:: | definition=take charge of or deal with | synonyms=attend, take care, see | examples=Could you see about lunch?; I must attend to this matter
7. sense_key=look%2:32:00:: | definition=convey by one's expression | examples=She looked her devotion to me
8. sense_key=look%2:31:00:: | definition=look forward to the probable occurrence of | synonyms=expect, await, wait | examples=We were expecting a visit from our relatives; She is looking to a promotion
9. sense_key=look%2:42:02:: | definition=accord in appearance with | examples=You don't look your age!
10. sense_key=look%2:31:02:: | definition=have faith or confidence in | synonyms=count, bet, depend, calculate, reckon | examples=you can count on me to help you any time; Look to your friends for support

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

reasoning_content:
The target word is "look" in the context: "I ve looked closely to maxima and maple s syntax so they <t>look</t> very similar."
Wait, the target is the second "look" in "they <t>look</t> very similar."
Let's re-read the context: "I ve looked closely to maxima and maple s syntax so they <t>look</t> very similar."
The first "looked" is "search or seek" or "perceive with attention".
The second "look" is "they look very similar".
"give a certain impression or have a certain outward aspect" -> synonyms: appear, seem.
Examples: She seems to be sleeping; This appears to be a very difficult problem.
"they look very similar" -> they appear very similar.
Sense 2: sense_key=look%2:39:01:: | definition=give a certain impression or have a certain outward aspect | synonyms=appear, seem | examples=She seems to be sleeping; This appears to be a very difficult problem

Let's check the context again: "so they <t>look</t> very similar."
Yes, "look" here means "appear" or "seem".
Sense 2 is the best fit.
Let's double check.
Sense 1: perceive with attention (look at)
Sense 2: give a certain impression or have a certain outward aspect (appear, seem)
Sense 3: have a certain outward or facial expression
Sense 4: search or seek
Sense 5: be oriented in a certain direction
Sense 6: take charge of or deal with
Sense 7: convey by one's expression
Sense 8: look forward to
Sense 9: accord in appearance with (You don't look your age)
Sense 10: have faith or confidence in

"they look very similar" -> they appear very similar.
Sense 2 is the correct one.
Context: "I ve looked closely to maxima and maple s syntax so they <t>look</t> very similar."
The target is the second "look".
Sense 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: very
Target surface form: very
Context:
kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>very</t> similar. + - * /: Addition, subtraction, multiplication and division.

Candidate senses:
1. sense_key=very%4:02:00:: | definition=used as intensifiers; `real' is sometimes used informally for `really'; `rattling' is informal | synonyms=really, real, rattling | examples=she was very gifted; he played very well
2. sense_key=very%4:02:01:: | definition=precisely so | examples=on the very next page; he expected the very opposite

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

reasoning_content:
The target word is "very" in the context: "I ve looked closely to maxima and maple s syntax so they look <t>very</t> similar."
The word "very" is used as an intensifier modifying the adjective "similar".
Sense 1: used as intensifiers; `real' is sometimes used informally for `really'; `rattling' is informal. Examples: she was very gifted; he played very well.
Sense 2: precisely so. Examples: on the very next page; he expected the very opposite.

In the context, "very" is an intensifier meaning "to a high degree" (very similar).
Therefore, Sense 1 is the correct sense.
I will return {"sense_index": 1}.


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

[User]
Target lemma: similar
Target surface form: similar
Context:
kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>similar</t>. + - * /: Addition, subtraction, multiplication and division.

Candidate senses:
1. sense_key=similar%3:00:00:: | definition=marked by correspondence or resemblance | examples=similar food at similar prices; problems similar to mine
2. sense_key=similar%3:00:04:: | definition=having the same or similar characteristics | synonyms=alike, like | examples=all politicians are alike; they looked utterly alike
3. sense_key=similar%3:00:02:: | definition=resembling or similar; having the same or some of the same characteristics; often used in combination | synonyms=like | examples=suits of like design; a limited circle of like minds
4. sense_key=similar%5:00:00:synonymous:00 | definition=(of words) expressing closely related meanings
5. sense_key=similar%5:00:00:replaceable:00 | definition=capable of replacing or changing places with something else; permitting mutual substitution without loss of function or suitability | synonyms=exchangeable, interchangeable, standardized, standardised | examples=interchangeable electric outlets; interchangeable parts

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

reasoning_content:
The target word is "similar" in the context: "I ve looked closely to maxima and maple s syntax so they look very similar."
The context is talking about the syntax of maxima and maple, and how they look very similar (having the same or similar characteristics).
Let's evaluate the candidate senses:
1. similar%3:00:00:: marked by correspondence or resemblance (similar food at similar prices; problems similar to mine)
2. similar%3:00:04:: having the same or similar characteristics (alike, like; all politicians are alike; they looked utterly alike)
3. similar%3:00:02:: resembling or similar; having the same or some of the same characteristics; often used in combination (like; suits of like design; a limited circle of like minds)
4. similar%5:00:00:synonymous:00 (of words) expressing closely related meanings
5. similar%5:00:00:replaceable:00 capable of replacing or changing places with something else...

Wait, "they look very similar" -> "looked utterly alike" (sense 2).
Let's check sense 2: "having the same or similar characteristics | synonyms=alike, like | examples=all politicians are alike; they looked utterly alike"
In the context: "I ve looked closely to maxima and maple s syntax so they look very similar."
"look very similar" matches "looked utterly alike" in sense 2.
Let's check sense 1: "marked by correspondence or resemblance"
Let's check sense 2 again. "having the same or similar characteristics"
Is it sense 2?
"they look very similar" -> "they looked utterly alike" (sense 2).
Let's consider sense 2.
"similar" as an adjective.
Sense 2: similar%3:00:04:: having the same or similar characteristics | synonyms=alike, like | examples=all politicians are alike; they looked utterly alike.
Context: "so they look very similar."
This perfectly matches "they looked utterly alike".

Let's double check sense 1: "marked by correspondence or resemblance"
Sense 2: "having the same or similar characteristics"
"look very similar" -> "looked utterly alike".
I will choose sense 2.
Wait, let's look at the example for sense 2: "they looked utterly alike".
Context: "so they look very similar".
This is a very strong match.
I will output 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: addition
Target surface form: Addition
Context:
kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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. + - * /: <t>Addition</t>, subtraction, multiplication and division. ^, **: Power, you can use them both.

Candidate senses:
1. sense_key=addition%1:06:00:: | definition=a component that is added to something to improve it | synonyms=add-on, improver | examples=the addition of a bathroom was a major improvement; the addition of cinnamon improved the flavor
2. sense_key=addition%1:04:02:: | definition=the act of adding one thing to another | examples=the addition of flowers created a pleasing effect; the addition of a leap day every four years
3. sense_key=addition%1:23:00:: | definition=a quantity that is added | synonyms=increase, gain | examples=there was an addition to property taxes this year; they recorded the cattle's gain in weight over a period of weeks
4. sense_key=addition%1:21:00:: | definition=something added to what you already have | synonyms=accession | examples=the librarian shelved the new accessions; he was a new addition to the staff
5. sense_key=addition%1:15:00:: | definition=a suburban area laid out in streets and lots for a future residential area
6. sense_key=addition%1:04:01:: | definition=the arithmetic operation of summing; calculating the sum of two or more numbers | synonyms=summation, plus | examples=the summation of four and three gives seven; four plus three equals seven

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

reasoning_content:
The target word is "Addition" in the context: "+ - * /: <t>Addition</t>, subtraction, multiplication and division."
This clearly refers to the arithmetic operation of summing.
Looking at the candidate senses:
1. a component that is added to something to improve it
2. the act of adding one thing to another
3. a quantity that is added
4. something added to what you already have
5. a suburban area laid out in streets and lots for a future residential area
6. the arithmetic operation of summing; calculating the sum of two or more numbers | synonyms=summation, plus

Sense 6 is the exact match for the arithmetic operation of addition, which is grouped with subtraction, multiplication, and division.
Therefore, the best indexed sense is 6.
I will return {"sense_index": 6}.


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

[User]
Target lemma: subtraction
Target surface form: subtraction
Context:
kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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, <t>subtraction</t>, multiplication and division. ^, **: Power, you can use them both.

Candidate senses:
1. sense_key=subtraction%1:04:01:: | definition=an arithmetic operation in which the difference between two numbers is calculated | synonyms=minus | examples=the subtraction of three from four leaves one; four minus three equals one
2. sense_key=subtraction%1:04:00:: | definition=the act of subtracting (removing a part from the whole) | synonyms=deduction | examples=he complained about the subtraction of money from their paychecks

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

reasoning_content:
The target word is "subtraction".
Context: "+ - * /: Addition, subtraction, multiplication and division."
This refers to the arithmetic operation.
Candidate senses:
1. sense_key=subtraction%1:04:01:: | definition=an arithmetic operation in which the difference between two numbers is calculated | synonyms=minus | examples=the subtraction of three from four leaves one; four minus three equals one
2. sense_key=subtraction%1:04:00:: | definition=the act of subtracting (removing a part from the whole) | synonyms=deduction | examples=he complained about the subtraction of money from their paychecks

Sense 1 is the arithmetic operation, which perfectly matches the context of "+ - * /: Addition, subtraction, multiplication and division."
Therefore, the best indexed sense is 1.
I will return {"sense_index": 1}.


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

[User]
Target lemma: multiplication
Target surface form: multiplication
Context:
kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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, <t>multiplication</t> and division. ^, **: Power, you can use them both.

Candidate senses:
1. sense_key=multiplication%1:04:01:: | definition=the act of producing offspring or multiplying by such production | synonyms=generation, propagation
2. sense_key=multiplication%1:22:00:: | definition=a multiplicative increase | examples=repeated copying leads to a multiplication of errors; this multiplication of cells is a natural correlate of growth
3. sense_key=multiplication%1:04:00:: | definition=an arithmetic operation that is the inverse of division; the product of two numbers is computed | synonyms=times | examples=the multiplication of four by three gives twelve; four times three equals twelve

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

reasoning_content:
The target word is "multiplication".
Context: "+ - * /: Addition, subtraction, multiplication and division."
This clearly refers to the arithmetic operation.
Candidate senses:
1. generation, propagation (producing offspring)
2. multiplicative increase (repeated copying)
3. arithmetic operation that is the inverse of division (times)

Sense 3 is the best fit.
Output format: {"sense_index": 3}


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

[User]
Target lemma: division
Target surface form: division
Context:
kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. 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 <t>division</t>. ^, **: Power, you can use them both.

Candidate senses:
1. sense_key=division%1:14:00:: | definition=an army unit large enough to sustain combat | examples=two infantry divisions were held in reserve
2. sense_key=division%1:09:00:: | definition=one of the portions into which something is regarded as divided and which together constitute a whole | synonyms=part, section | examples=the written part of the exam; the finance section of the company
3. sense_key=division%1:04:00:: | definition=the act or process of dividing
4. sense_key=division%1:14:03:: | definition=an administrative unit in government or business
5. sense_key=division%1:10:00:: | definition=discord that splits a group | synonyms=variance
6. sense_key=division%1:14:06:: | definition=a league ranked by quality | synonyms=class | examples=he played baseball in class D for two years; Princeton is in the NCAA Division 1-AA
7. sense_key=division%1:14:05:: | definition=(biology) a group of organisms forming a subdivision of a larger category
8. sense_key=division%1:14:04:: | definition=(botany) taxonomic unit of plants corresponding to a phylum
9. sense_key=division%1:14:02:: | definition=a unit of the United States Air Force usually comprising two or more wings | synonyms=air division
10. sense_key=division%1:14:01:: | definition=a group of ships of similar type | synonyms=naval division
11. sense_key=division%1:04:01:: | definition=an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed
12. sense_key=division%1:04:02:: | definition=the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart | synonyms=partition, partitioning, segmentation, sectionalization, sectionalisation

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

reasoning_content:
The target word is "division" in the context of mathematical operations: "+ - * /: Addition, subtraction, multiplication and division."
The context clearly refers to the arithmetic operation of division.
Looking at the candidate senses:
1. army unit
2. portion/section
3. act or process of dividing
4. administrative unit
5. discord
6. league ranked by quality
7. biology group
8. botany taxonomic unit
9. air force unit
10. naval division
11. an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed
12. act of dividing or partitioning

Sense 11 is "an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed". This perfectly matches the context of "+ - * /: Addition, subtraction, multiplication and division."

Therefore, the best indexed sense is 11.
I will return {"sense_index": 11}.


[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: Power
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. ^, **: <t>Power</t>, you can use them both. Also it is possible to use the unicode ² characters.

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 context is about mathematical syntax, specifically mentioning "+ - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters."
The target word is "Power".
In mathematics, "^" and "**" are operators for exponentiation, which is also called "power".
Let's look at the candidate senses:
1. possession of controlling influence
2. (physics) the rate of doing work
3. possession of the qualities required to do something
4. holding an office
5. one possessing or exercising power
6. a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index
7. physical strength
8. a state powerful enough to influence events
9. a very wealthy or powerful businessman

Sense 6 is "a mathematical notation indicating the number of times a quantity is multiplied by itself", synonyms: exponent, index.
This perfectly matches the context of mathematical operators "^" and "**" and the unicode ² character.

Therefore, the best indexed sense is 6.
I will return {"sense_index": 6}.


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

[User]
Target lemma: 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 target word is "use" in the context: "Power, you can <t>use</t> them both."
The context is talking about using the symbols ^ and ** for power.
Sense 1: put into service; make work or employ for a particular purpose or for its inherent or natural purpose. Synonyms: utilize, utilise, apply, employ. Examples: use your head!; we only use Spanish at home.
Sense 2: take or consume (regularly or habitually).
Sense 3: use up, consume fully.
Sense 4: seek or achieve an end by using to one's advantage.
Sense 5: avail oneself to.
Sense 6: habitually do something (use only in the past tense).

"you can use them both" means you can employ or utilize them both.
This matches Sense 1.
Let's double check.
"you can use them both" -> employ/utilize.
Sense 1 is the best fit.
Sense index: 1.
End of thought.


[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}.

reasoning_content:
The target word is "possible" in the context: "Also it is possible to use the unicode ² characters."
The sentence means that it is capable of happening or existing (i.e., you can use the unicode ² characters).
Sense 1: capable of happening or existing. Examples: a breakthrough may be possible next year; anything is possible.
Sense 2: existing in possibility. Synonyms: potential. Examples: a potential problem; possible uses of nuclear power.

In the context, "it is possible to use" means "it is capable of happening or existing" (you can do it).
Therefore, Sense 1 is the best fit.
Let's double check.
"it is possible to use" -> capable of happening or existing.
Sense 1 is the correct choice.
The output format must be exactly {"sense_index": 1}.


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

[User]
Target lemma: use
Target surface form: 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 target word is "use" in the context: "Also it is possible to <t>use</t> the unicode ² characters."
The context is about employing or utilizing the unicode ² characters for powers.
Let's look at the candidate senses:
1. put into service; make work or employ for a particular purpose or for its inherent or natural purpose (utilize, utilise, apply, employ) - "use your head!", "we only use Spanish at home"
2. take or consume (regularly or habitually) - "She uses drugs rarely"
3. use up, consume fully - "The legislature expended its time on school questions"
4. seek or achieve an end by using to one's advantage - "She uses her influential friends to get jobs"
5. avail oneself to - "apply a principle; practice a religion"
6. habitually do something (use only in the past tense) - "She used to call her mother"

Sense 1 fits perfectly: "employ for a particular purpose" -> "use the unicode ² characters".
Let's double check. "use the unicode ² characters" means to employ or utilize them.
Sense 1 is the best fit.
Sense index: 1.
End of thought.


[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 target word is "Powers" in the context of mathematical syntax: "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."
The context is clearly about mathematical notation, specifically exponents (like ^, **, ²).
Let's look at the candidate senses:
1. possession of controlling influence
2. (physics) the rate of doing work
3. possession of the qualities required to do something
4. holding an office
5. one possessing or exercising power
6. a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index
7. physical strength
8. a state powerful enough to influence events
9. a very wealthy or powerful businessman

Sense 6 is "a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index". This perfectly matches the context of mathematical syntax, ^, **, and unicode ².

Therefore, the best indexed sense is 6.
I will return {"sense_index": 6}.


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

[User]
Target lemma: 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 for the word "way" in the given context.
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."

Target word: "way"
In the context: "Powers are one way to make roots too." and "It s the way to specify the bounded variable in a function."
This refers to a method, manner, or means of doing something.
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
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

"Powers are one way to make roots too." -> a means to achieve an end (making roots).
"It s the way to specify the bounded variable in a function." -> a means to achieve an end (specifying the bounded variable).

Let's check sense 2: "how a result is obtained or an end is achieved" (means, agency).
Let's check sense 1: "how something is done or how it happens" (manner, mode, style, fashion).

"Powers are one way to make roots too." -> "way" here means "means" or "method".
"It's the way to specify..." -> "way" here means "means" or "method".

Sense 2 fits "means" perfectly. "a means of control" -> "a way to make roots".
Let's re-read 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).

"Powers are one way to make roots too." -> "way" = means.
"It's the way to specify the bounded variable in a function." -> "way" = means.

Therefore, sense 2 is the best fit.

Let's double check.
"Powers are one way to make roots too." -> "way" = means.
"It's the way to specify the bounded variable in a function." -> "way" = means.

Sense 2: how a result is obtained or an end is achieved.
Synonyms: means, agency.

I will choose sense 2.
Wait, let's look at sense 1 again. "how something is done or how it happens".
Is it "manner" or "means"?
"Powers are one means to make roots too." -> Yes.
"It's the means to specify the bounded variable in a function." -> Yes.

So sense 2 is the correct one.
Let's review the format: {"sense_index": 2}.
Done.


[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 context is about mathematical syntax, specifically mentioning "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."
The target word is "roots".
In mathematics, a root is a number that, when multiplied by itself some number of times, equals a given number (e.g., square root, cube root).
Let's check the candidate senses:
1. botany
2. beginning, origin
3. linguistics
4. a number that, when multiplied by itself some number of times, equals a given number
5. the set of values that give a true statement when substituted into an equation (solution)
6. ancestor
7. etymon
8. tooth root

Sense 4 fits perfectly: "a number that, when multiplied by itself some number of times, equals a given number". The context mentions "Powers are one way to make roots too", which refers to fractional exponents (e.g., x^(1/2) is the square root of x).

Therefore, sense 4 is the best match.
Checking sense 4: sense_key=root%1:23:00:: | definition=a number that, when multiplied by itself some number of times, equals a given number.
Yes, this is the mathematical root.
I will return {"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 target word is "too" in the context: "Powers are one way to make roots <t>too</t>."
The sentence means "Powers are one way to make roots as well / in addition."
Sense 1: to a degree exceeding normal or proper limits (excessively, overly)
Sense 2: in addition (besides, also, likewise, as well)

The context clearly indicates "in addition" or "as well".
Therefore, sense 2 is the correct choice.
I will return {"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 context is: "It s the <t>way</t> to specify the bounded variable in a function."
The target word is "way".
The sentence means "It is the method/means to specify the bounded variable in a function."
Let's look at the candidate senses:
1. how something is done or how it happens (manner, mode, style, fashion)
2. how a result is obtained or an end is achieved (means, agency)
3. a line leading to a place or point (direction)
4. the condition of things generally
5. a course of conduct (path, way of life)
6. any artifact consisting of a road or path
7. a journey or passage
8. space for movement (room, elbow room)
9. the property of distance in general
10. doing as one pleases or chooses
11. a general category of things
12. a portion of something divided into shares

"It's the way to specify..." -> "It's the means to specify..." or "It's the method to specify...".
Sense 2: "how a result is obtained or an end is achieved" (means, agency). Example: "a means of control".
Sense 1: "how something is done or how it happens" (manner, mode, style, fashion). Example: "his rapid manner of talking".

Wait, "the way to specify" -> "the means to specify".
Let's check "way" as "means".
"way" meaning "means" or "method" to achieve something.
Sense 2: "how a result is obtained or an end is achieved" synonyms=means, agency.
Is it sense 1 or sense 2?
"the way to specify" -> "the means to specify".
Let's see: "a way to make roots too" -> "a means to make roots".
"It's the way to specify the bounded variable" -> "It's the means to specify".
Sense 2 fits "means" perfectly.
Let's double check sense 1 vs sense 2.
Sense 1: manner, mode, style, fashion. "in a way", "the way he talks".
Sense 2: means, agency. "a way to do something", "the way to achieve an end".
"It's the way to specify..." -> "It's the means to specify..."
Therefore, sense 2 is the best fit.
Let's review the examples for sense 2: "a means of control; an example is the best agency of instruction".
"way" as "means" is exactly sense 2.
"way" as "manner" is sense 1.
Here, "It's the way to specify..." means "It is the means by which you specify...".
So sense 2.
Let's confirm.
"way" = means.
Yes, sense 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 context is: "It s the way to <t>specify</t> the bounded variable in a function."
The target word is "specify".
The context is about programming/math syntax, specifically how to "specify the bounded variable in a function".
Let's look at the candidate senses:
1. specify as a condition or requirement in a contract or agreement (stipulate, qualify, condition)
2. decide upon or fix definitely (set, determine, define, fix, limit) - examples: fix the variables; specify the parameters
3. determine the essential quality of (define, delineate, delimit, delimitate)
4. be specific about (particularize, particularise, specialize, specialise)
5. define clearly (pin down, peg down, nail down, narrow down, narrow)
6. design or destine (intend, destine, designate)
7. select something or someone for a specific purpose (assign, set apart)

Sense 2: "decide upon or fix definitely" with synonyms "set, determine, define, fix, limit" and examples "fix the variables; specify the parameters".
In the context, "specify the bounded variable in a function" is very similar to "specify the parameters" or "fix the variables".
Let's check sense 2.
"decide upon or fix definitely" -> "specify the bounded variable" means to fix or determine which variable is bounded.
Synonyms: set, determine, define, fix, limit.
Examples: fix the variables; specify the parameters.
This perfectly matches "specify the bounded variable in a function".

Let's double check sense 3: "determine the essential quality of". Not quite.
Sense 4: "be specific about". Not quite.
Sense 5: "define clearly".
Sense 2 is the best fit because of the example "specify the parameters" and "fix the variables", which aligns perfectly with "specify the bounded variable".

Therefore, sense 2 is the correct choice.
Context: "It s the way to specify the bounded variable in a function."
Sense 2: decide upon or fix definitely.
Synonyms: set, determine, define, fix, limit.
Examples: fix the variables; specify the parameters.
Match is strong.
I will return {"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: 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 context is about mathematical syntax in Maxima and Maple.
"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."
The word "variable" here refers to a symbol used in mathematical or logical expressions to represent a variable quantity, specifically a bounded variable in a function.
Let's check the candidate senses:
1. something that is likely to vary (e.g., weather)
2. a quantity that can assume any of a set of values (variable quantity)
3. a star that varies noticeably in brightness
4. a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity

In the context of "bounded variable in a function", it refers to the symbol (like x or y) used in mathematical expressions.
Sense 4 fits perfectly: "a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity".
Let's double check. "bounded variable in a function" -> mathematical expression.
Sense 4 is the best fit.
Sense 2 is "a quantity that can assume any of a set of values", but "bounded variable" usually refers to the symbol itself in the context of syntax ("maxima and maple's syntax").
"specify the bounded variable in a function" -> specifying the symbol.
Therefore, sense 4.
Wait, let's look at sense 4: "a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity".
Yes, "bounded variable" is a mathematical/logical concept referring to the symbol.
I will choose 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 context is about mathematical syntax in Maxima and Maple, specifically mentioning "+ - * /: Addition, subtraction, multiplication and division. ^, **: Power... -gt: It's the way to specify the bounded variable in a <t>function</t>."
The word "function" here refers to a mathematical function, as it talks about bounded variables, syntax, and mathematical operations.
Sense 1: (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 perfectly matches the context of mathematical syntax, bounded variables, and operations.
Sense 4 is also a relation, but Sense 1 is specifically "mathematical function" and fits the context of Maxima and Maple (computer algebra systems) and mathematical syntax.
Let's double check. "specify the bounded variable in a function" -> mathematical function.
Sense 1 is the best fit.
Sense index: 1.
End of thought.