[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: realize
Target surface form: realize
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 <t>realize</t> 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.

Candidate senses:
1. sense_key=realize%2:31:01:: | definition=be fully aware or cognizant of | synonyms=recognize, recognise, realise, agnize, agnise
2. sense_key=realize%2:31:00:: | definition=perceive (an idea or situation) mentally | synonyms=understand, realise, see | examples=Now I see!; I just can't see your point
3. sense_key=realize%2:36:00:: | definition=make real or concrete; give reality or substance to | synonyms=realise, actualize, actualise, substantiate | examples=our ideas must be substantiated into actions
4. sense_key=realize%2:40:01:: | definition=earn on some commercial or business transaction; earn as salary or wages | synonyms=gain, take in, clear, make, earn, realise | examples=How much do you make a month in your new job?; She earns a lot in her new job
5. sense_key=realize%2:40:00:: | definition=convert into cash; of goods and property | synonyms=realise
6. sense_key=realize%2:36:07:: | definition=expand or complete (a part in a piece of baroque music) by supplying the harmonies indicated in the figured bass | synonyms=realise

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 "realize" in the given context.

 Let me analyze 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 sentence is saying that to understand how the software works, we need to become aware or cognizant of the fact that our input is being converted into MathML.

 Now let's look at the candidate senses:

 1. sense_key=realize%2:31:01:: | definition=be fully aware or cognizant of | synonyms=recognize, recognise, realise, agnize, agnise
    - This fits: "be fully aware or cognizant of" the fact that input is being converted to MathML.

 2. sense_key=realize%2:31:00:: | definition=perceive (an idea or situation) mentally | synonyms=understand, realise, see | examples=Now I see!; I just can't see your point
    - This also fits somewhat: "perceive mentally" or "understand" that input is being converted.

 3. sense_key=realize%2:36:00:: | definition=make real or concrete; give reality or substance to | synonyms=realise, actualize, actualise, substantiate | examples=our ideas must be substantiated into actions
    - This is about making something real/concrete, not about becoming aware of something.

 4. sense_key=realize%2:40:01:: | definition=earn on some commercial or business transaction; earn as salary or wages | synonyms=gain, take in, clear, make, earn, realise
    - This is about earning money, doesn't fit.

 5. sense_key=realize%2:40:00:: | definition=convert into cash; of goods and property | synonyms=realise
    - This is about converting to cash, doesn't fit.

 6. sense_key=realize%2:36:07:: | definition=expand or complete (a part in a piece of baroque music) by supplying the harmonies indicated in the figured bass | synonyms=realise
    - This is a musical term, doesn't fit.

 So it's between sense 1 and sense 2.

 Sense 1: "be fully aware or cognizant of"
 Sense 2: "perceive (an idea or situation) mentally"

 The context: "the best thing we can do is to realize that our input is being converted into MathML"

 This is about becoming aware of a fact, recognizing something. The phrase "be fully aware or cognizant of" seems to fit better than "perceive mentally" in this context. However, both are close.

 Let me look at the examples for sense 2: "Now I see!; I just can't see your point" - these suggest understanding or grasping a concept.

 The context emphasizes understanding how something works by recognizing/becoming aware of a specific technical detail (that input is converted to MathML).

 Actually, looking more carefully:
 - Sense 1 synonyms: recognize, recognise, realise, agnize, agnise
 - Sense 2 synonyms: understand, realise, see

 The context says "If we want to understand how it works..." - so there's already "understand" in the sentence. Then it says we need to "realize that..."

 "Realize that" typically means "become aware that" or "recognize that" - which aligns with sense 1.

 But sense 2 also works with "realize that" meaning "understand that".

 Let me check WordNet more carefully. Usually:
 - realize%2:31:01:: is the "become aware of" sense
 - realize%2:31:00:: is the "understand" sense

 The distinction is subtle. Sense 1 is about awareness/cognizance (recognizing a fact), Sense 2 is about mental perception/understanding.

 In the context: "realize that our input is being converted into MathML" - this is about recognizing or becoming aware of a specific technical fact. It's not so much about understanding an abstract idea, but recognizing/being cognizant of what's happening behind the scenes.

 Also, sense 1 has "recognize" as a synonym, which fits well here: "recognize that our input is being converted..."

 Sense 2 has "see" as in "I see" (I understand), which is slightly different from recognizing a fact.

 Given the context emphasizes "understand how it works" by being aware of the underlying conversion process, sense 1 seems slightly better.

 However, looking at the examples again:
 - Sense 2 examples: "Now I see!; I just can't see your point" - these are about comprehension/understanding.
 - Sense 1 doesn't have examples listed, but the definition is "be fully aware or cognizant of"

 The phrase "realize that" is very commonly used with sense 1 (become aware). For example, "I realize that I was wrong" = I became aware that I was wrong.

 In this text: "realize that our input is being converted into MathML" = become aware that our input is being converted...

 This seems like sense 1.

 Wait, let me double-check the sense keys. In WordNet:
 - realize.v.01 is usually "gain" (financial)
 - realize.v.02 is usually "understand"
 - realize.v.03 is usually "actualize"
 - etc.

 But the indices here are:
 1. realize%2:31:01::
 2. realize%2:31:00::
 3. realize%2:36:00::
 4. realize%2:40:01::
 5. realize%2:40:00::
 6. realize%2:36:07::

 The numbers after %2 indicate the lexicographer file (noun, verb, etc. and category). 31 is "verbs of thinking, judging, analyzing, doubting", 36 is "creation verbs", 40 is "verbs of possession".

 So both 1 and 2 are "thinking" verbs.

 The last numbers 00, 01, etc. indicate the sense number within that file.

 Usually, sense 00 is the most frequent or first listed sense.

 In WordNet 3.0 or 3.1:
 - realize%2:31:00:: is likely "perceive (an idea or situation) mentally"
 - realize%2:31:01:: is likely "be fully aware or cognizant of"

 Actually, checking WordNet structure:
 - realize.v.01 (index 00): perceive mentally
 - realize.v.02 (index 01): be fully aware

 Or vice versa depending on the version.

 But looking at the definitions provided:
 - 2:31:00: "perceive (an idea or situation) mentally"
 - 2:31:01: "be fully aware or cognizant of"

 The context: "the best thing we can do is to realize that our input is being converted into MathML"

 This is about becoming aware of a fact, recognizing it. "Be fully aware or cognizant of" fits perfectly.

 "Perceive mentally" is more general and could work, but "be fully aware" captures the sense of recognizing a truth or fact.

 Also, the phrase "realize that" is the typical construction for sense 1.

 I think sense 1 (index 1) is the best choice.

 Wait, I need to be careful. The user asks for "sense_index" which corresponds to the number in the list (1-6), not the WordNet offset.

 So if I choose sense 1, I return {"sense_index": 1}

 Let me reconsider if sense 2 could be better. The context is about understanding how software works. "If we want to understand how it works..." - this sets up an epistemic context. "Realize" here could mean "understand" (sense 2).

 However, the specific content is "that our input is being converted into MathML" - this is a factual realization, an awareness of what's happening, rather than a mental perception of an abstract idea.

 Also, sense 2 examples include "Now I see!" which is about sudden insight or understanding. The text doesn't suggest a sudden insight, but rather a recognition of a technical detail.

 Therefore, sense 1 is better.

 Final check: Is there any chance it's sense 3 (make real)? No, that would be "realize our potential" or "realize a plan" - not "realize that..."

 So it's between 1 and 2, and 1 is better.

 Answer: {"sense_index": 1}


attempt_kind: initial

status: success

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

[User]
Target lemma: 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}.

finish_reason: stop

role: assistant

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

 Let me analyze the context:
 - The text is about a software called "kalgebra" which is a mathematical application
 - It mentions that user input is being "converted" into MathML
 - MathML is a markup language for mathematical notation
 - The conversion is from user input (functions/calculations) to MathML format

 Now let's look at the 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
    - This involves changing from one system/format to another. The example shows converting electrical voltage systems.

 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
    - This is about changing the fundamental nature or purpose. Like alchemy or repurposing buildings.

 3. sense_key=convert%2:30:01:: | definition=change religious beliefs, or adopt a religious belief | examples=She converted to Buddhism
    - Religious conversion.

 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
    - Exchange one thing for another of the same category (currency exchange).

 5. sense_key=convert%2:30:07:: | definition=cause to adopt a new or different faith | examples=The missionaries converted the Indian population
    - Causing someone else to change religion.

 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
    - Sports context (American football/rugby).

 7. sense_key=convert%2:33:01:: | definition=complete successfully | examples=score a penalty shot or free throw
    - Sports context.

 8. sense_key=convert%2:33:00:: | definition=score (a spare)
    - Sports/bowling context.

 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
    - Persuasion.

 10. sense_key=convert%2:30:09:: | definition=exchange a penalty for a less severe one | synonyms=commute, exchange
     - Legal context (commuting sentences).

 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
     - Chemical/physical transformation.

 Now, looking at the specific context: "our input is being converted into MathML"

 This is about transforming data from one format (user input/functions) to another format (MathML). This is a system/format conversion.

 Sense 1 seems most appropriate: "change from one system to another or to a new plan or policy" with the example "We converted from 220 to 110 Volt" and synonym "change over".

 However, let me also consider Sense 4: "exchange or replace with another, usually of the same kind or category" with currency exchange examples.

 And Sense 2: "change the nature, purpose, or function of something" - but this seems more about changing the essence, like lead to gold.

 The context is about data transformation - converting user input (text/functions) into MathML markup. This is changing from one representation system to another.

 Sense 1 (convert%2:30:00::) specifically mentions "change from one system to another". This fits well with converting from one data format/system to another (input format to MathML).

 Sense 4 is about exchanging things of the same category (like currencies), but here we're transforming representation formats, not exchanging equivalent values.

 Sense 11 is about chemical change.

 So Sense 1 seems best: changing from one system (input format) to another (MathML).

 Wait, let me double-check the WordNet sense keys. The user provided:
 1. sense_key=convert%2:30:00::
 2. sense_key=convert%2:30:03::
 etc.

 In WordNet, convert%2:30:00:: is indeed "change from one system to another or to a new plan or policy".

 The context describes converting input into MathML - this is a transformation from one format/system to another.

 Actually, looking more carefully at sense 4: "exchange or replace with another, usually of the same kind or category" - this could potentially apply to data formats, but the "exchange" aspect suggests swapping equivalent things (like money), whereas sense 1 emphasizes changing systems.

 Also, sense 2: "change the nature, purpose, or function of something" - this is about changing what something IS (lead to gold), not changing its representation format.

 Sense 1 is the best fit for converting data from one format to another.

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

format: unknown

native_finish_reason: stop

provider: DeepInfra

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: 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}.

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

 Context analysis:
 - The text is about a software called "kalgebra" which is initially MathML oriented but can be used by everyone with little mathematical knowledge.
 - The specific sentence is: "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."
 - The meaning here is that knowing MathML is not absolutely essential or required to use the software.
 - The author explains that the syntax is based on common sense and 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

 Analysis:
 - Sense 1 ("absolutely essential") fits the context: "it is not necessary to know MathML" means it is not absolutely essential/required to know MathML.
 - Sense 2 ("unavoidably determined by prior circumstances") does not fit. This sense relates to inevitability, consequences, and things that must happen due to prior causes. The context is about whether something is required/essential for using the software, not about inevitable consequences.

 The phrase "it is not necessary to" is a common construction meaning "it is not required/essential to." This aligns with sense 1.

 Therefore, the best sense is sense 1.

 I need to return a JSON object: {"sense_index": 1}

provider: ModelRun


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

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

Context analysis:
The sentence is: "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."

The context is about using a mathematical software (kalgebra). The user is explaining that while the input is converted to MathML, you don't need to "know" MathML to use the software.

Looking at the 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!
   - This is about being aware of facts or having information about something.

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?
   - This is about having a skill or knowing how to do something.

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
   - This is about being certain of facts.

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?
   - This is about familiarity with a person or object.

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?
   - This is about experiencing something.

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
   - This is about acknowledgment/recognition.

7. sense_key=know%2:31:15:: | definition=have fixed in the mind | examples=I know Latin; This student knows her irregular verbs
   - This is about having knowledge of a subject/language stored in memory.

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
   - Biblical/archaic usage for sex - clearly not relevant here.

9. sense_key=know%2:31:11:: | definition=know the nature or character of | examples=we all knew her as a big show-off
   - This is about understanding someone's character.

10. sense_key=know%2:31:12:: | definition=be able to distinguish, recognize as being different | examples=The child knows right from wrong
    - This is about distinguishing between things.

11. sense_key=know%2:31:14:: | definition=perceive as familiar | examples=I know this voice!
    - This is about recognizing something as familiar.

Now, analyzing the specific context: "it is not necessary to know MathML"

MathML is a markup language (a technical subject/format). The meaning here is that you don't need to have knowledge of MathML, be familiar with it, or understand it to use the software.

Comparing the options:
- Sense 1: "be cognizant or aware of... possess knowledge or information about" - This fits reasonably well. You don't need to possess knowledge about MathML.
- Sense 4: "be familiar or acquainted with a person or an object" - MathML could be considered an object (a language/format), so this could fit.
- Sense 7: "have fixed in the mind" - examples include "I know Latin", "know her irregular verbs" - This is about knowing a language or subject. MathML is a markup language, so this could fit well too.

Let me look more carefully at the distinctions:

Sense 1 (know%2:31:01::): "be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about"
- Examples: "I know that the President lied", "I want to know who is winning"
- This seems to focus on knowing facts or propositions.

Sense 4 (know%2:31:00::): "be familiar or acquainted with a person or an object"
- Examples: "She doesn't know this composer", "Do you know my sister?"
- This is about familiarity with entities (people, objects).

Sense 7 (know%2:31:15::): "have fixed in the mind"
- Examples: "I know Latin", "This student knows her irregular verbs"
- This is about having learned/retained knowledge of a subject.

In the context "it is not necessary to know MathML", MathML is being treated as a subject/language that one could learn or have knowledge of. The parallel would be "I know Latin" (from sense 7) - you don't need to know MathML (the language).

However, sense 1 could also work: "possess knowledge or information about MathML".

But looking at the examples for sense 7: "I know Latin" - this is exactly parallel to "know MathML". Both are languages/formats one can learn.

Sense 4 examples focus on people ("this composer", "my sister").

Sense 1 examples focus on facts ("that the President lied", "who is winning").

Therefore, sense 7 seems most appropriate: having knowledge of a subject/language fixed in the mind.

Wait, let me double-check the WordNet sense keys to make sure I understand the numbering correctly.

Actually, looking at the candidate list:
1. sense_key=know%2:31:01::
2. sense_key=know%2:31:03::
3. sense_key=know%2:31:02::
4. sense_key=know%2:31:00::
5. sense_key=know%2:31:04::
6. sense_key=know%2:31:06::
7. sense_key=know%2:31:15::
8. sense_key=know%2:35:00::
9. sense_key=know%2:31:11::
10. sense_key=know%2:31:12::
11. sense_key=know%2:31:14::

The user wants the "sense_index", which appears to be the number in the list (1-11).

So if I choose sense 7 (know%2:31:15::), the answer would be {"sense_index": 7}.

But let me reconsider if it could be sense 1.

Sense 1: "be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about"
- This could apply to knowing a subject like MathML.

Sense 7: "have fixed in the mind" with examples "I know Latin", "know her irregular verbs"
- This is specifically about knowing a language or learned material.

Given that MathML is a markup language (like XML), and the example "I know Latin" is given for sense 7, sense 7 seems the best fit.

However, sense 4 "be familiar or acquainted with" could also work: "be familiar with MathML".

But "know" in the context of languages is typically sense 7 in WordNet. For example, "I know French" would be sense 7.

Let me verify by looking at the examples again:
- Sense 7 examples: "I know Latin", "This student knows her irregular verbs"
- These are about having learned/retained knowledge.

The context: "it is not necessary to know MathML" - meaning you don't need to have learned it or have it fixed in your mind.

This aligns perfectly with sense 7.

Sense 1 is more about being aware of specific facts rather than having learned a body of knowledge like a language.

Therefore, the best choice is sense_index: 7.

Wait, I should also consider if it could be sense 2 (know how to do something): "know how to do or perform something" - "know MathML" could mean knowing how to use/write MathML. But the examples for sense 2 are "knows how to knit", "know how to cook" - these are skills. While knowing MathML is somewhat a skill, it's more like knowing a language, which is sense 7.

Also, the phrasing "know MathML" without "how to" suggests it's not sense 2.

So I'll go with 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 user wants me to perform Word Sense Disambiguation for the word "based" in the given context.

 Context analysis:
 - The text is about kalgebra software
 - The author says: "I have <t>based</t> the syntax basically on common sense"
 - This means the author used common sense as a foundation/basis for the syntax
 - The syntax was founded/established on common sense

 Candidate senses:
 1. base%2:31:00:: - use as a basis for; found on | synonyms=establish, ground, found | examples=base a claim on some observation
    - This seems to fit: "base X on Y" means to use Y as a basis/foundation for X
    - The structure matches: "based the syntax on common sense"

 2. base%2:42:04:: - situate as a center of operations | examples=we will base this project in the new lab
    - This is about physical location/situation (base in a location)
    - Doesn't fit here - we're not talking about situating something in a physical place

 3. base%2:34:00:: - use (purified cocaine) by burning it and inhaling the fumes | synonyms=free-base
    - This is the drug usage sense (freebase cocaine)
    - Completely irrelevant to software syntax

 The best fit is sense 1: "use as a basis for; found on"
 The sentence "I have based the syntax basically on common sense" clearly means "I have used common sense as a basis for the syntax" or "I have founded the syntax on common sense."

 The structure "base X on Y" is the typical construction for sense 1.

 Therefore, the answer should be {"sense_index": 1}.

provider: DigitalOcean


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

[User]
Target lemma: 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 (WSD) for the word "hard" in the given context.

Let me analyze the context:
- The text is about a software called "kalgebra" and its syntax.
- The sentence containing the target word is: "I have based the syntax basically on common sense, it should not be <t>hard</t> for anyone."
- The context suggests that the syntax is based on common sense, so it shouldn't be difficult for anyone to understand or use.

Now let me look at 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 matches the context perfectly. The sentence is saying the syntax shouldn't be difficult/not easy for anyone to comprehend/use.

2. sense_key=hard%3:00:02:: | definition=dispassionate | examples=took a hard look; a hard bargainer
   - This doesn't fit. Not about being dispassionate.

3. sense_key=hard%3:00:01:: | definition=resisting weight or pressure
   - Physical hardness, not relevant here.

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
   - Not about physical strength or vigor.

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...
   - While related to effort, this is more about being exhausting/arduous, whereas the context is about being "not easy" (difficult).

6. sense_key=hard%3:00:00:: | definition=produced without vibration of the vocal cords | synonyms=unvoiced, voiceless, surd
   - Phonetic sense, not relevant.

7. sense_key=hard%3:00:05:: | definition=(of light) transmitted directly from a pointed light source | synonyms=concentrated
   - Not relevant.

8. sense_key=hard%3:00:03:: | definition=(of speech sounds); produced with the back of the tongue raised toward or touching the velum
   - Phonetic sense, not relevant.

9. sense_key=hard%5:00:00:indulgent:00 | definition=given to excessive indulgence of bodily appetites especially for intoxicating liquors | synonyms=intemperate, heavy
   - Not relevant.

10. sense_key=hard%5:00:00:alcoholic:00 | definition=being distilled rather than fermented; having a high alcoholic content | synonyms=strong
    - Not relevant.

11. sense_key=hard%5:00:00:bad:00 | definition=unfortunate or hard to bear | synonyms=tough | examples=had hard luck; a tough break
    - This is about misfortune, not difficulty of comprehension.

12. sense_key=hard%5:00:00:stale:00 | definition=dried out | examples=hard dry rolls left over from the day before
    - Physical texture, not relevant.

The best match is sense 1: "not easy; requiring great physical or mental effort to accomplish or comprehend or endure" with synonym "difficult".

The context explicitly contrasts with "common sense" and implies ease of understanding, so "not easy" / "difficult" is the correct sense.

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

provider: Moonshot AI


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

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

Context analysis:
- The text is about KAlgebra, a mathematical software
- The author says: "I ve looked closely to maxima and maple s syntax so they look very similar"
- The meaning here is that the author examined or studied the syntax of Maxima and Maple (computer algebra systems) carefully/attentively to make KAlgebra's syntax similar to them.

Candidate senses:
1. closely%4:02:00:: - in a close relation or position in time or space (spatial/temporal proximity)
   - Examples: "the onsets were closely timed; houses set closely together"
   - This is about physical or temporal closeness

2. closely%4:02:02:: - in an attentive manner (synonyms: close, tight)
   - Examples: "he remained close on his guard"
   - This suggests careful attention, watching closely

3. closely%4:02:01:: - in a close manner (synonyms: intimately, nearly)
   - Examples: "the two phenomena are intimately connected; the person most nearly concerned"
   - This suggests a close relationship or connection

Now, looking at the specific usage: "I ve looked closely to maxima and maple s syntax"

The phrase "looked closely to" or "looked closely at" means to examine carefully, to pay close attention to details. This matches sense 2: "in an attentive manner".

However, let me check if it could be sense 3. Sense 3 has synonyms "intimately, nearly" and examples about things being connected. The context here is about examining syntax to make them similar, which involves careful study/attention.

Sense 2 examples: "he remained close on his guard" - this is about being attentive, vigilant.
Sense 3 examples: "the two phenomena are intimately connected" - this is about relationship/connection.

In the sentence "I ve looked closely to maxima and maple s syntax", the meaning is "I have examined carefully" or "I have paid close attention to". This aligns with sense 2 (in an attentive manner).

Wait, let me reconsider the exact wording. The user wrote: "I ve looked closely to maxima and maple s syntax". This might be a typo for "looked closely at" or it could mean "looked closely to" as in "looked in a way that is close to..." but that doesn't make sense.

Actually, looking at the context again: "I ve looked closely to maxima and maple s syntax so they look very similar."

This likely means: "I have looked closely at Maxima and Maple's syntax [and modeled KAlgebra's syntax after them] so they look very similar."

Or it could mean: "I have based the syntax closely on Maxima and Maple's syntax..."

But the word is "looked closely". The verb is "looked", and "closely" modifies how the looking was done.

If I "look closely" at something, I examine it carefully. This is sense 2: in an attentive manner.

But wait, sense 3 is "in a close manner" with synonyms "intimately, nearly". Could "looked closely to" mean something like "examined in a way that is intimate/near"?

Actually, looking at WordNet structure:
- Sense 1: spatial/temporal proximity (houses set closely together)
- Sense 2: attentive manner (watch closely)
- Sense 3: close relationship (closely related)

The phrase "look closely at" is an idiom meaning to examine carefully. This would be sense 2.

However, there's a complication. The preposition used is "to", not "at". "Looked closely to" is unusual. It might be a non-native speaker error for "looked closely at", or it might mean something else.

But given the context "so they look very similar", it seems the author is saying they examined Maxima and Maple's syntax carefully/attentively in order to make KAlgebra's syntax similar to them.

Therefore, sense 2 seems best: "in an attentive manner".

But let me double-check sense 3. Could "closely" here mean "intimately" or "nearly"? "I ve looked intimately to maxima and maple s syntax" - that doesn't quite fit. "I ve looked nearly to..." - no.

Sense 1: "I ve looked in a close spatial position to maxima and maple s syntax" - definitely not.

So it's between sense 2 and potentially a different interpretation.

Actually, looking at the gloss for sense 3 again: "in a close manner" - this is very vague. The examples show "intimately connected" and "nearly concerned". This is about the degree of connection or similarity.

But in "looked closely", we're talking about the manner of looking, not the degree of relationship between the subject and object.

Wait, I should check if "closely" could be modifying "similar" in the next clause? No, the word order is: "I ve looked closely to maxima and maple s syntax so they look very similar."

The "closely" is definitely with "looked".

"Look closely" = look carefully = attentive manner = sense 2.

Therefore, the answer should be sense_index: 2.

But let me reconsider if there's any chance it's sense 3. If the sentence meant "I have based the syntax closely on Maxima..." then "closely" would mean "to a great degree" or "intimately" (sense 3). But the verb is "looked", not "based".

Unless "looked closely to" is being used to mean "based closely on" or "modeled closely after"? That's a stretch.

Given the text: "I ve looked closely to maxima and maple s syntax", and considering possible typos or non-standard usage, the most standard interpretation of "look closely" is sense 2.

However, I should consider if "closely" here could mean "similarly" or "in a close manner" referring to the relationship between the syntaxes. But the syntax is "looked closely to", not "is closely related to".

Let me check the WordNet examples for sense 2 again: "he remained close on his guard" - this uses "close" not "closely"? Wait, the sense key is closely%4:02:02:: and the synonyms include "close" and "tight". The example might be using the adjective form or the adverb form "close".

Actually, "close" can be an adverb too. "He remained close on his guard" - here "close" means near/attentive.

But "closely" in "watched closely" is definitely attentive.

Given all this, I believe sense 2 is the correct choice.

Wait, I want to check one more thing. Could "closely" in this context mean "carefully" in the sense of "closely related" (sense 3)? No, "carefully" is more about attention (sense 2).

Sense 2: "in an attentive manner"
Sense 3: "in a close manner" (meaning intimately, nearly)

"I looked attentively to Maxima and Maple's syntax" - this makes sense.
"I looked intimately to Maxima and Maple's syntax" - this is awkward.
"I looked nearly to Maxima and Maple's syntax" - this doesn't make sense.

Therefore, sense 2 is the winner.

Final check: The user instructions say "Do not hedge. Choose the single best indexed sense."

JSON format: {"sense_index": 2}

provider: Chutes


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

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

 Context analysis:
 - The text is about KAlgebra, a mathematical software
 - The author mentions: "I ve looked closely to maxima and maple s syntax so they <t>look</t> very similar."
 - The meaning here is that the syntax of KAlgebra appears/seems very similar to the syntax of Maxima and Maple.
 - The subject is "they" (referring to the syntaxes), and the complement is "very similar".
 - This is about giving a certain impression or having a certain outward aspect.

 Looking at the candidate senses:
 1. sense_key=look%2:39:00:: - perceive with attention; direct one's gaze towards
    - This is about physically looking at something with eyes. Not applicable here.

 2. sense_key=look%2:39:01:: - 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"
    - This fits perfectly: "they look very similar" = "they appear very similar" / "they seem very similar"

 3. sense_key=look%2:29:00:: - have a certain outward or facial expression
    - This is about facial expressions. Not applicable to syntax.

 4. sense_key=look%2:39:02:: - search or seek
    - Not applicable.

 5. sense_key=look%2:42:00:: - be oriented in a certain direction
    - Not applicable.

 6. sense_key=look%2:41:13:: - take charge of or deal with
    - Not applicable.

 7. sense_key=look%2:32:00:: - convey by one's expression
    - Not applicable.

 8. sense_key=look%2:31:00:: - look forward to the probable occurrence of
    - Not applicable.

 9. sense_key=look%2:42:02:: - accord in appearance with
    - Example: "You don't look your age!" - This is about matching appearance, but the structure is different (look + noun phrase). Here we have "look + adjective" (similar).

 10. sense_key=look%2:31:02:: - have faith or confidence in
    - Not applicable.

 The best fit is sense 2: "give a certain impression or have a certain outward aspect" with synonyms "appear, seem".

 The sentence "they look very similar" means "they appear very similar" or "they seem very similar".

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


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

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

Context analysis:
- The sentence is: "I ve looked closely to maxima and maple s syntax so they look <t>very</t> similar."
- The word "very" is modifying "similar" (an adjective).
- The meaning is intensifying the degree of similarity - they look extremely/almost exactly similar.

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

Analysis:
- Sense 1 is the standard intensifier use of "very" meaning "to a high degree" or "extremely". This fits when "very" modifies adjectives like "similar", "good", "gifted", etc.
- Sense 2 is the specific use meaning "precisely", "exact", "actual" - often used with "the" (the very next, the very opposite, the very same).

In the context "they look very similar":
- "Very" is functioning as an intensifier modifying "similar"
- It means "to a great extent" or "extremely"
- This matches sense 1 (the intensifier sense)
- Sense 2 would require something like "the very same syntax" or "the very similarity" - indicating exactness/precision rather than degree.

The examples for sense 1 include "she was very gifted; he played very well" - which parallels "they look very similar" (very + adjective).

Therefore, sense 1 is the correct choice.

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

provider: Phala


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

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

 Context analysis:
 The text is about KAlgebra software and its syntax. The author says: "I ve looked closely to maxima and maple s syntax so they look very similar."

 This means the syntax of KAlgebra looks very much like (resembles) the syntax of Maxima and Maple (which are computer algebra systems).

 Candidate senses:
 1. marked by correspondence or resemblance (general sense)
 2. having the same or similar characteristics; synonyms: alike, like (implies identity or close similarity in characteristics)
 3. resembling or similar; having the same or some of the same characteristics; often used in combination; synonyms: like
 4. (of words) expressing closely related meanings (linguistic/semantic similarity of words)
 5. capable of replacing or changing places with something else; interchangeable (functional substitution)

 Analysis:
 - Sense 4 is about words expressing related meanings - this is about syntax of programming languages/software, not about word meanings specifically.
 - Sense 5 is about being interchangeable/replaceable - while the syntaxes might be similar, the context doesn't suggest they are interchangeable parts or mutually substitutable without loss of function. It just says they look similar.
 - Sense 2 emphasizes "having the same or similar characteristics" with synonyms "alike" - this suggests a stronger identity.
 - Sense 3 emphasizes "resembling" with synonym "like" - this seems to fit well with "look very similar" - they resemble each other.
 - Sense 1 is the most general "marked by correspondence or resemblance".

 However, looking closely at the distinctions:
 - Sense 2 (similar%3:00:04::): "having the same or similar characteristics" - examples: "all politicians are alike; they looked utterly alike"
 - Sense 3 (similar%3:00:02::): "resembling or similar; having the same or some of the same characteristics; often used in combination" - examples: "suits of like design; a limited circle of like minds"
 - Sense 1 (similar%3:00:00::): "marked by correspondence or resemblance" - examples: "similar food at similar prices; problems similar to mine"

 The context is about syntax looking similar between different software systems (KAlgebra, Maxima, Maple). This is about resemblance in appearance or structure.

 Sense 3 seems to emphasize "resembling" and uses "like" as a synonym. The example "suits of like design" suggests things that look alike or have similar design patterns.

 Sense 1 is very general.

 Sense 2 seems to emphasize being alike in characteristics, almost identical.

 In the sentence "they look very similar", this is about visual or structural resemblance. Sense 3 with "resembling" seems most appropriate, or Sense 1.

 But let's look at the WordNet hierarchy. Usually, sense 1 is the most general. Sense 3:00:02 is often the "like" sense (resembling). Sense 3:00:04 is the "alike" sense.

 Actually, looking at standard WordNet:
 - similar%3:00:00:: is the first sense - general similarity
 - similar%3:00:02:: is "like" - resembling
 - similar%3:00:04:: is "alike" - having same characteristics

 The phrase "look very similar" suggests visual/structural resemblance. Both sense 1 and 3 could work.

 However, sense 3 specifically mentions "resembling" and gives examples like "suits of like design" which is about design patterns - very analogous to syntax design.

 Sense 1 examples: "similar food at similar prices" - this is about correspondence in attributes.

 Sense 3 seems better because:
 1. The context is about syntax (design/structure) looking alike
 2. The synonym "like" fits well: "they look very like" (though we'd say "they look very much alike" or "they look very similar")
 3. The definition mentions "resembling" which matches "look"

 But wait, sense 2 also has "alike" which relates to "look". "They looked utterly alike" is an example for sense 2.

 However, sense 2 is about having the same characteristics (being identical or nearly so), while sense 3 allows for "some of the same characteristics" - which fits better when comparing syntax of different systems that may not be identical but share characteristics.

 Actually, looking at the examples again:
 - Sense 2: "all politicians are alike; they looked utterly alike" - suggests strong similarity, almost identical
 - Sense 3: "suits of like design; a limited circle of like minds" - suggests sharing characteristics, resembling

 The syntax of KAlgebra is based on Maxima and Maple but not necessarily identical - it resembles them. So sense 3 seems best.

 But I should check if sense 1 is better. Sense 1 is "marked by correspondence or resemblance" - very general.

 In WSD tasks, usually the most specific sense that fits is chosen.

 Sense 3:00:02 is often the "like, similar" sense in WordNet 3.0:
 WordNet 3.0 entry for similar (adjective):
 1. similar (marked by correspondence or resemblance) "similar food at similar prices"; "problems similar to mine"; "wearing similar hats"
 2. alike(p), similar, like (having the same or similar characteristics) "all politicians are alike"; "they looked utterly alike"; "friends are generally alike in background and taste"
 3. like, similar (resembling or similar; having the same or some of the same characteristics; often used in combination) "suits of like design"; "a limited circle of like minds"; "members of the cat family have like dispositions"; "as like as two peas in a pod"; "doglike devotion"; "a dreamlike quality"

 Wait, looking at the candidate list provided:
 1. sense_key=similar%3:00:00:: | definition=marked by correspondence or resemblance
 2. sense_key=similar%3:00:04:: | definition=having the same or similar characteristics | synonyms=alike, like
 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

 So sense 3 in the list corresponds to WordNet sense 3 (like, similar - resembling).
 Sense 2 in the list corresponds to WordNet sense 4? No, looking at the keys:
 - similar%3:00:00:: is sense 1
 - similar%3:00:04:: - the 04 suggests it's a different sense, probably sense 2 in WordNet ordering? Actually WordNet sense keys use lexicographer file numbers and then sense numbers.

 Actually, the numbers in the sense key after the % are: lexicographer file number : lexicographer file name abbreviation : sense number

 Wait, format is: word%lex_filenum:lex_filename:sensenum:lexid

 So:
 - similar%3:00:00:: - lex file 3 (adj.all), sense 0? No, that doesn't make sense.

 Actually, the format is: lemma%ss_type:lex_filenum:lex_id:head_word:head_id

 Or more commonly shown as: word%pos:sense_number

 But here we have similar%3:00:00:: which suggests:
 - 3 = adjective (satellite?)
 - 00:00 = ?

 Actually, WordNet sense keys are: lemma%ss_type:lex_filenum:lex_id:head_word:head_id

 Where ss_type is:
 - 1 for noun
 - 2 for verb
 - 3 for adjective
 - 4 for adverb
 - 5 for adjective satellite

 So:
 - similar%3:00:00:: - this is an adjective (3), lex file 00? No, lex files are like 00, 01, etc. for nouns, but for adjectives...

 Actually, looking at the pattern:
 - similar%3:00:00:: - this looks like adj.all (00)
 - similar%3:00:04:: - this might be adj.04?
 - similar%3:00:02:: - adj.02?
 - similar%5:00:00:synonymous:00 - this is adjective satellite (5)

 Wait, the format in the candidate list seems to be using a simplified or specific format. The numbers 00, 04, 02 likely refer to sense indices or specific lexicographer files.

 But regardless, looking at the definitions:
 1. marked by correspondence or resemblance (general)
 2. having the same or similar characteristics; synonyms=alike, like (strong similarity)
 3. resembling or similar; having the same or some of the same characteristics; often used in combination; synonyms=like (resemblance)
 4. (of words) expressing closely related meanings (semantic similarity)
 5. capable of replacing... (interchangeable)

 The context: "maxima and maple s syntax so they look very similar"

 This is about the syntax of computer algebra systems resembling each other.

 Sense 3 with "resembling" and example "suits of like design" fits best because:
 - Syntax design is analogous to suit design
 - "Look similar" implies visual/structural resemblance
 - Sense 3 allows for partial similarity ("some of the same characteristics") which is appropriate for software syntax inspiration

 Sense 2 implies stronger identity ("utterly alike").

 Sense 1 is too general and would be a fallback.

 Therefore, the best sense is sense 3 (index 3).

 Wait, I need to be careful about the indexing. The user lists:
 1. sense_key=...
 2. sense_key=...
 3. sense_key=...
 4. sense_key=...
 5. sense_key=...

 So if I choose sense 3, I return {"sense_index": 3}

 Let me double-check sense 4: "(of words) expressing closely related meanings" - this is about synonymy in linguistics. The context is about syntax of programming languages, not about word meanings.

 Sense 5 is clearly about interchangeability.

 So it's between 1, 2, and 3.

 Sense 3 mentions "often used in combination" (like-like, doglike, etc.), but the word "similar" in the context is not used in combination (like "similar-looking" or something), it's used as a predicate adjective: "look very similar".

 However, the definition also says "resembling or similar; having the same or some of the same characteristics" which fits.

 Sense 2: "having the same or similar characteristics" - also fits, but emphasizes "same" more.

 Given that the author looked at Maxima and Maple and based the syntax on them, but it's not necessarily identical (just inspired by/based on), sense 3 with "some of the same characteristics" is more accurate than sense 2 which suggests stronger equivalence.

 Also, sense 3's example "suits of like design" is very parallel to "syntax of like design" or "look very similar [in design]".

 Therefore, I choose 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: 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 user wants me to perform Word Sense Disambiguation on the target word "Addition" in the given context.

 Context analysis:
 - The text is describing the kalgebra main window and how to use it for mathematical operations.
 - Specifically: "+ - * /: <t>Addition</t>, subtraction, multiplication and division."
 - This is clearly referring to the mathematical operation of addition, one of the basic arithmetic operations alongside subtraction, multiplication, and division.

 Looking at the candidate senses:
 1. sense_key=addition%1:06:00:: - This refers to a physical component added to something (like a bathroom addition). Not mathematical.
 2. sense_key=addition%1:04:02:: - This is the act of adding one thing to another (general). Could be close but not specifically arithmetic.
 3. sense_key=addition%1:23:00:: - This refers to a quantity that is added (increase, gain). Not the operation itself.
 4. sense_key=addition%1:21:00:: - Something added to what you have (new staff member, etc.). Not mathematical.
 5. sense_key=addition%1:15:00:: - A suburban area/residential layout. Clearly wrong.
 6. sense_key=addition%1:04:01:: - "the arithmetic operation of summing; calculating the sum of two or more numbers" with synonyms "summation, plus" and examples about summing numbers.

 The context is clearly about mathematical operations: "+ - * /: Addition, subtraction, multiplication and division."
 This is referring to the arithmetic operation of addition.

 Therefore, sense 6 is the correct choice.

 The output should be: {"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 user wants me to perform Word Sense Disambiguation (WSD) for the word "subtraction" in the given context.

 Context analysis:
 - The text is about KAlgebra, a mathematical software.
 - It describes the interface and syntax for mathematical operations.
 - The specific sentence is: "+ - * /: Addition, <t>subtraction</t>, multiplication and division."
 - This is listing basic arithmetic operations.
 - The context is clearly mathematical, dealing with arithmetic operations performed in a calculator/calculation software.

 Candidate sense analysis:

 Sense 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"
 - This fits perfectly with the context of mathematical operations (+, -, *, /) in a calculator application.

 Sense 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"
 - This is more about the general act of removing/deducting something, often used in non-mathematical contexts like finance or general removal.
 - While arithmetic is a form of removing, the specific context here is clearly about arithmetic operations (listed alongside addition, multiplication, division).

 Comparison:
 The context lists "Addition, subtraction, multiplication and division" as operations available in the input field for calculations. This is clearly referring to the arithmetic operation sense, not the general act of removing parts from a whole (though they are related).

 The examples for sense 1 explicitly mention arithmetic calculations ("four minus three equals one"), which matches the calculator/computation context here.

 The examples for sense 2 mention "subtraction of money from their paychecks" which is a financial/legal usage, not the mathematical operation being described here.

 Therefore, sense 1 (subtraction%1:04:01::) is the correct choice.

 The user asks for a JSON object with "sense_index". The senses are listed as 1 and 2, so the index would be 1.

 Wait, let me double-check the sense keys. In WordNet, sense keys typically follow the format: lemma%lexicalFileNumber:lexicalFileNumber:senseNumber. The user provided:
 1. sense_key=subtraction%1:04:01::
 2. sense_key=subtraction%1:04:00::

 So index 1 corresponds to sense_key ending in 01, and index 2 corresponds to sense_key ending in 00.

 Actually, looking at WordNet conventions:
 - subtraction%1:04:01:: would be the second sense (index 2 if 0-indexed, or sense 1 if referring to the order presented? No, the user labeled them "1." and "2.")
 - subtraction%1:04:00:: would be the first sense (index 1)

 Wait, WordNet sense numbering: usually the most frequent sense gets :00, then :01, etc. But the user has listed them as:
 Candidate senses:
 1. sense_key=subtraction%1:04:01::
 2. sense_key=subtraction%1:04:00::

 So the user wants me to return the index from their list (1 or 2).

 Sense 1 in their list is the arithmetic operation.
 Sense 2 in their list is the general act of subtracting/removing.

 My analysis: The context is clearly arithmetic operations. The text says "+ - * /: Addition, subtraction, multiplication and division." This is unequivocally referring to the arithmetic operation.

 Therefore, the answer should be {"sense_index": 1}.

 Let me verify the definitions once more to be absolutely sure.

 Sense 1: "an arithmetic operation in which the difference between two numbers is calculated" - matches the context of mathematical functions in KAlgebra.

 Sense 2: "the act of subtracting (removing a part from the whole)" - this is broader and more about the physical or metaphorical act of removal, though it can include arithmetic. However, in the context of being listed with addition, multiplication, and division as calculator operations, it's specifically the arithmetic sense.

 Also, the synonyms help: sense 1 has "minus" which is the mathematical operator. Sense 2 has "deduction" which is more general (used in logic, accounting, etc.).

 The answer is definitely 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 user wants me to perform Word Sense Disambiguation (WSD) on the word "multiplication" in the given context.

 Context analysis:
 The text is describing a mathematical software (kalgebra) and explaining its syntax for operations. Specifically, it mentions: "+ - * /: Addition, subtraction, multiplication and division."
 This is clearly referring to the basic arithmetic operations.

 Candidate senses analysis:
 1. multiplication%1:04:01:: - "the act of producing offspring or multiplying by such production" (synonyms: generation, propagation) - This is biological reproduction sense.
 2. multiplication%1:22:00:: - "a multiplicative increase" - This refers to increases in errors, cells, etc. It's about growth or increase.
 3. multiplication%1:04:00:: - "an arithmetic operation that is the inverse of division; the product of two numbers is computed" (synonyms: times) - This is the mathematical operation sense.

 The context explicitly lists "multiplication" alongside addition, subtraction, and division as arithmetic operations using the symbols +, -, *, /. This is clearly referring to the arithmetic operation of multiplication.

 Therefore, sense 3 is the correct choice.

 The user wants the output as a JSON object: {"sense_index": 3}

provider: AtlasCloud


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

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

 Context analysis:
 - The text is about a software called "kalgebra" which is a mathematical calculator/graphing tool
 - It mentions syntax for operations: + - * /: Addition, subtraction, multiplication and division
 - It also mentions ^, ** for power
 - This is clearly referring to arithmetic operations

 Looking at the candidate senses:
 1. Army unit - not relevant here
 2. Portion/section of something - could be a mathematical concept but not the specific arithmetic operation
 3. Act or process of dividing - general
 4. Administrative unit - not relevant
 5. Discord - not relevant
 6. League/class - not relevant
 7. Biology group - not relevant
 8. Botany taxonomic unit - not relevant
 9. Air Force unit - not relevant
 10. Ships - not relevant
 11. Arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed - This matches perfectly with the context of +, -, *, / being listed as basic arithmetic operations
 12. Act of dividing/partitioning - physical separation

 The context clearly lists division alongside addition, subtraction, and multiplication as basic arithmetic operations. This corresponds to sense 11: "an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed".

 The target word "division" appears in the list: "+ - * /: Addition, subtraction, multiplication and division."

 This is clearly referring to the mathematical operation.

 Therefore, the correct sense is index 11.

 Wait, let me check the indexing. The user lists them as 1-12. Sense 11 is:
 11. sense_key=division%1:04:01:: | definition=an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed

 Yes, that's the one.

 Actually, looking at the format, the user wants me to return {"sense_index": 11}.

 Let me double-check if there's any ambiguity. Could it be sense 3 (the act or process of dividing)? No, because the context is specifically about mathematical syntax and operations, not the general act of dividing things.

 Could it be sense 2 (part/section)? No, because it's listed alongside other arithmetic operators (+, -, *, /).

 So definitely sense 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 user wants me to perform Word Sense Disambiguation for the word "Power" in the given context.

 Let me analyze the context:
 - The text is about a calculator or mathematical input system
 - It mentions: "^, **: <t>Power</t>, you can use them both"
 - This is clearly referring to the mathematical operation of exponentiation (raising a number to a power)
 - The symbols ^ and ** are commonly used in programming and mathematics to denote exponentiation
 - The text mentions "Addition, subtraction, multiplication and division" and then "Power" as another operation

 Now let's look at the candidate senses:

 1. power%1:07:00:: - possession of controlling influence (general influence/control)
 2. power%1:19:00:: - physics: rate of doing work (watts)
 3. power%1:09:01:: - ability/mental qualities to do something
 4. power%1:26:00:: - holding political office
 5. power%1:18:00:: - person/entity with power (force)
 6. power%1:10:00:: - mathematical notation indicating the number of times a quantity is multiplied by itself (exponent)
 7. power%1:07:02:: - physical strength
 8. power%1:14:00:: - powerful state/nation
 9. power%1:18:01:: - wealthy businessman

 The context clearly indicates a mathematical operation. The text mentions "^" and "**" which are operators for exponentiation in many programming languages and mathematical software (like the mentioned Maxima and Maple).

 Sense 6 matches perfectly: "a mathematical notation indicating the number of times a quantity is multiplied by itself" with synonyms "exponent, index".

 This is the mathematical sense of power/exponent.

 So the answer should be sense_index: 6.

 Wait, let me double-check the indexing. The user lists them as:
 1. sense_key=power%1:07:00::
 2. sense_key=power%1:19:00::
 3. sense_key=power%1:09:01::
 4. sense_key=power%1:26:00::
 5. sense_key=power%1:18:00::
 6. sense_key=power%1:10:00::
 7. sense_key=power%1:07:02::
 8. sense_key=power%1:14:00::
 9. sense_key=power%1:18:01::

 So sense 6 is indeed the mathematical one.

 The context explicitly mentions "^, **: Power" referring to the operation of raising to a power, and mentions unicode ² characters (superscript 2, i.e., squared). This is definitely the mathematical exponent sense.

 Therefore: {"sense_index": 6}