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

Candidate senses:
1. sense_key=do%2:41:01:: | definition=engage in | synonyms=make | examples=make love, not war; make an effort
2. sense_key=do%2:36:01:: | definition=carry out or perform an action | synonyms=perform, execute | examples=John did the painting, the weeding, and he cleaned out the gutters; the skater executed a triple pirouette
3. sense_key=do%2:41:04:: | definition=get (something) done | synonyms=perform | examples=I did my job
4. sense_key=do%2:42:00:: | definition=proceed or get along | synonyms=fare, make out, come, get along | examples=How is she doing in her new job?; How are you making out in graduate school?
5. sense_key=do%2:36:02:: | definition=give rise to; cause to happen or occur, not always intentionally | synonyms=cause, make | examples=cause a commotion; make a stir
6. sense_key=do%2:41:02:: | definition=carry out or practice; as of jobs and professions | synonyms=practice, practise, exercise | examples=practice law
7. sense_key=do%2:42:01:: | definition=be sufficient; be adequate, either in quality or quantity | synonyms=suffice, answer, serve | examples=A few words would answer; This car suits my purpose well
8. sense_key=do%2:36:00:: | definition=create or design, often in a certain way | synonyms=make | examples=Do my room in blue; I did this piece in wood to express my love for the forest
9. sense_key=do%2:29:09:: | definition=behave in a certain manner; show a certain behavior; conduct or comport oneself | synonyms=act, behave | examples=You should act like an adult; Don't behave like a fool
10. sense_key=do%2:42:02:: | definition=spend time in prison or in a labor camp | synonyms=serve | examples=He did six years for embezzlement
11. sense_key=do%2:41:03:: | definition=carry on or function | synonyms=manage | examples=We could do with a little more help around here
12. sense_key=do%2:29:04:: | definition=arrange attractively | synonyms=dress, arrange, set, coif, coiffe, coiffure | examples=dress my hair for the wedding
13. sense_key=do%2:38:00:: | definition=travel or traverse (a distance) | examples=This car does 150 miles per hour; We did 6 miles on our hike every day

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

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

reasoning_content:
**Analyzing the Usage of "Do"**

Okay, so the target word is "do" in that sentence: "If we want to understand how it works, the best thing we can do is to realize...". My initial thought is that "do" is functioning as an action verb, and I need to figure out the exact nuance here. The context clearly indicates an action of some kind.

Let's quickly check the senses I have in mind: engage in, carry out/perform an action, get something done, proceed/get along, give rise to/cause to happen, practice, and suffice.

Now, considering "the best thing we can do," my immediate instinct is that sense 2, "carry out or perform an action," is the best fit. It seems a perfect match. However, I want to be certain this isn't sense 3, "get (something) done." "The best thing we can do" is an expression describing "what to do," so let's make sure that that choice can be explained via the definitions.

"The best thing we can do" implies an action, generally. Thinking about it this way, sense 2 is more clearly correct, and sense 3 could be used in some situations, but would require a slightly different sense in which "do" is used.

Thinking about the definitions: sense 2, "carry out or perform an action," feels right with "The best thing we can do is to realize..."

Therefore, I'm confident in selecting sense 2: "carry out or perform an action" for "do" in this sentence.


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: 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}.

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

finish_reason: stop

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

role: assistant

reasoning_content:
**Deconstructing the Nuances of "Realize"**

Okay, so the target word here is "realize" in the context of, "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..." My initial thought is that it's about becoming aware, or being cognizant of something, that it's about **recognition** rather than pure understanding. I need to make a solid selection of the word's meaning.

Let's break down the two main cognitive senses in WordNet. The first, `realize%2:31:01::`, is "be fully aware or cognizant of," with synonyms like "recognize, agnize," which aligns with my initial gut feeling. The second, `realize%2:31:00::`, means "perceive (an idea or situation) mentally," with synonyms such as "understand, see." Considering the sentence's phrasing, "realize that our input is being converted," it feels more about grasping a specific fact than a general understanding.

I'm leaning toward the "become aware" sense. The definition of the "recognize" sense fits well.

Let's consider the subtle differences. Does "realize that" imply becoming *fully* aware, versus a simple understanding? I'm drawn back to the first sense, as in this application, a 'that' clause is being used to present a known, but possibly overlooked or misunderstood fact.

And just to be sure, let's examine `realize%2:31:00::` again. It has 'understand' as a synonym. So, it would be, "understand how it works... is to understand that..." But it is not a perfect synonym.

Hmm... the context suggests a recognition of a *fact*. "Realize" with a "that" clause often indicates this. Let's see if there is any critical distinction to make.

So, let's compare the two:

*   **"be fully aware or cognizant of"**: Synonyms: recognize, agnize.
*   **"perceive (an idea or situation) mentally"**: Synonyms: understand, see.

Ultimately, I'm choosing the first sense, "be fully aware or cognizant of." It precisely captures the idea of becoming aware of the specific *fact* of the input conversion. The other definition is more about generalized understanding.

type: thinking

service_tier: default

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: 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}.

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

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

reasoning_content:
**Deconstructing the Meaning of "Converted"**

Okay, so the target word is "converted," stemming from "convert," and the context is about turning input into MathML, though the specific details of MathML aren't critical. My initial thought process involves parsing the potential meanings. Let's see... the candidate senses give me a few options to consider, from changing systems or policies to exchanging something of the same kind, and even a religious conversion. I'm going to eliminate the religious connotations right away; that's clearly not applicable here.

I'm thinking about the representation, data format changes. So, senses 1 and 4 are jumping out as relevant here. Could it be like converting voltages – 220 to 110? Or, is it more about exchanging something like dollars for pounds? But hold on, the input is *being converted* *into* MathML, a different format altogether.

Maybe it's sense 2? "Change the nature, purpose, or function of something," like turning lead into gold. Hmmm, the conversion of data from one format to another... does that fit? It seems like it could, yeah. Data conversion is about transforming, right?

But, wait... is "change from one system to another" (sense 1) better or more general? Is that more like "change over" from one voltage to another? That has a more intransitive feel. "We converted..." means *we* changed. And sense 2 is transitive, changing *something* into *something else*. "Convert hotels into jails," "convert lead into gold."

So, we're taking an input string, and translating/transforming it into a MathML string. I need to make the *best* selection.

Let me verify with the WordNet definitions. There's a "change from one system to another," which is kind of close, and then there's the more general "change the nature...". Then there's the "exchange or replace..."

I'm getting that changing file formats might fall under "change the nature...". Also, it's more general. MathML represents a type or form. "Our input is being converted into MathML" -> changing the nature/form of the input. Turning input into MathML - like converting lead into gold.

Let's look at sense 4 ("exchange or replace..."). It's more of a commutation. Like in the case of dollars to pounds. But we're going from an input string to a MathML string - different form or type.

WordNet even mentions "translate" as a function of conversion, but the definition doesn't use "convert."

So, is there a specific computing sense here? No specific definition is given.

Now, let's analyze the syntax: "converted [something] into [something]". That structure, "convert X into Y," strongly aligns with sense 2, where we're talking about altering the *nature* or the *form*. Just like in "convert lead into gold; convert hotels into jails".

Sense 4 also has that "[something] into [something]" structure, but exchange isn't really appropriate for a data format change. MathML is a *format*. Inputs transform into formats like languages/systems.

Also, "change from one system to another" (Sense 1) is like "change over" (e.g., from 220 to 110 Volt). That has a different flavor than the *change* that I'm looking for.

I'm selecting Sense 2.


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

[User]
Target lemma: 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}.

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

reasoning_content:
**Deconstructing "Necessary"**

Alright, let's break down this use of "necessary." The target is clearly "necessary" within the phrase "...although it is not necessary to know MathML." My immediate task is to identify the most accurate sense of that word in this specific context. I'm considering two primary interpretations: one signifying something that is *absolutely essential* and the other implying something *unavoidably determined* by prior circumstances.

Now, let's apply those senses. The text asserts that knowing MathML isn't... well, *necessary*. That rules out "unavoidable," or "inevitable consequences." MathML knowledge might be *helpful*, but it's not a pre-requisite, something fatefully linked to the situation. It doesn't seem to be a hard constraint.

However, the "absolutely essential" meaning immediately clicks. The statement clearly conveys that knowing MathML isn't *required*. It's not a fundamental building block; you can proceed without it. Therefore, the first sense – the "absolutely essential" one – is the precise meaning here.
I'm going with 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: 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}.

raw_output:
```json
{
  "sense_index": 7
}
```

content:
```json
{
  "sense_index": 7
}
```

reasoning_content:
**Analyzing the Semantic Nuances of "Know" in Context**

Alright, let's break down this use of "know" in the phrase "although it is not necessary to know MathML." My first step, as always, is to identify the possible senses of the word. I see a few contenders here: simply being aware of something, knowing how to do something, knowing something to be true, or being familiar with something. The more precise sense I'm focusing on, however, is being familiar with an object, as well as *having something fixed in the mind*, or as I typically think of it, *knowing* something.

Since MathML is a markup language, "to know MathML" is functionally the same as "I know Latin". It's a linguistic entity, a set of rules and syntax. So, while it *could* be a mere familiarity (sense 4), it's far more likely it falls under sense 7: having it fixed in the mind, essentially mastering the language. We say "I know Latin" or "This student knows her irregular verbs" when we're referring to an in-depth understanding of a language. Therefore, I'm confident that sense 7 is the best fit here. It's not just a passing acquaintance, it's a level of proficiency with the MathML language.


[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}.

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

reasoning_content:
**Analyzing the Meaning of "Based"**

Okay, here's the situation: the word is "based," and the context is "I have based the syntax basically on common sense..." My job is to pinpoint the intended sense. Let's see... the system has presented a few options.

Sense 1: "use as a basis for; found on" – This feels promising! "Based the syntax on common sense" aligns perfectly with the definition of establishing something on a foundation. It makes perfect sense that I *use common sense as the foundation* for the syntax.

Sense 2: "situate as a center of operations" – Hmm, less likely here. We're not talking about a physical location or a central hub. "Based the syntax" doesn't immediately suggest positioning.

Sense 3: "use (purified cocaine)" – Definitely not relevant! The context is clearly about syntax and language design, not drug use.

Therefore, sense 1 is the unequivocal winner. It's a clean match, and the other choices are nonsensical in this context. Done!


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

[User]
Target lemma: 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}.

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

reasoning_content:
**Analyzing the Meaning of "Hard" in Context**

Okay, so the text is saying the syntax is based on common sense, and it "should not be hard for anyone." My job here is to figure out the specific meaning of "hard" in that sentence. Let's see... the context points towards something challenging or difficult to understand or do. Seems straightforward enough, but I always want to be precise.

I'll check the senses. Sense 1, with the sense key `hard%3:00:06::`, is defined as "not easy; requiring great physical or mental effort to accomplish or comprehend or endure." Bingo. That nails it. The phrase "should not be hard for anyone" clearly implies the task should be *easy* for anyone with the proper background and knowledge.

I'll glance at the other options, just to be sure: *dispassionate*? Nope. *Resisting weight or pressure*? Not a fit. *Strong*? Doesn't work. *Exhausting*? That's about physical effort, and doesn't apply here. *Unfortunate*? Absolutely not.

So, sense 1 is definitely the best fit. I've successfully disambiguated "hard" in this particular context.


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

[User]
Target lemma: 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}.

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

reasoning_content:
**Analyzing the Nuances of "Closely"**

Okay, so the target word is "closely" within the phrase "I've looked closely at Maxima and Maple's syntax." My initial thought is to run through the possible senses. We've got: spatial/temporal proximity (sense 1), attentive manner (sense 2), and a more intimate connection (sense 3).

I immediately lean towards "attentive manner" - that's the obvious interpretation when you're examining something like syntax. We're talking about paying careful attention, dissecting the details. The definition, "in an attentive manner," with synonyms like "close" and "tight" seems to nail it. The example, "he remained close on his guard", further reinforces the point.

But I should double check. Let's make sure. Sense 1, clearly isn't it, dealing with time or space. Sense 3, while potentially relevant in a meta sense (are the syntaxes *intimately* connected?), isn't the primary meaning here. I'm focusing on the *act* of looking, not a relationship between the syntaxes.

Alright, after reviewing the senses, sense 2: "attentive manner" is the best fit. "Looking closely" is definitively about paying attention to detail.


[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}.

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

reasoning_content:
**Deconstructing the "Look" in Syntax**

Okay, so I'm looking at this statement about software syntax, something along the lines of "I've looked closely at Maxima and Maple's syntax, so they look very similar." My mind immediately jumps to parsing the nuances of "look." It's critical to pinpoint the intended meaning to avoid any misunderstandings, especially given my expertise.

I quickly run through the likely candidates for the word "look" in this context. It's definitely *not* about physical appearance in the literal sense, or searching for something. I need to nail down the precise meaning. I have to discard senses like "perceive with attention" or any meaning involving facial expressions. It has to relate to an outward aspect.

It's clear that it's sense number two: "give a certain impression or have a certain outward aspect." The syntax *appears* similar. Yes, that's it. "They look very similar" translates well to "they give a certain impression of similarity".

Hmm, let me double-check. This is, after all, a technical context, so precision is key. Checking the context, "They look very similar" fits perfectly with the sense of "they give a certain impression". And I have to discard the others.

Yes, sense 2 is the best fit. I'm satisfied.


[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:
**Analyzing the Sense of "Very"**

Alright, let's break this down. The target word is "very," and the context is "...so they look very similar." My task is to determine the correct sense of "very" in this phrase. I have two candidate senses: "used as intensifiers" and "precisely so." Hmm, "precisely so" doesn't quite fit the context. The phrase isn't saying the similarity is exact or that they're precisely similar. No, it's about the *degree* of similarity. That's it! "Very" is amplifying the degree of similarity. It's intensifying the adjective "similar." Therefore, the first sense, "used as intensifiers," is the clear winner here. Simple enough.


[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}.

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

reasoning_content:
**Analyzing the Semantics of "Similar" in Context**

Okay, the target word is "similar," and the context is "I've looked closely at Maxima and Maple's syntax so they look very similar." My immediate thought is to consider the various meanings. I've got five possibilities: correspondence/resemblance, having similar characteristics (like "alike"), resembling, related meanings (for words), and being interchangeable.

I'm zeroing in on sense 2: "having the same or similar characteristics." Synonyms, conveniently, include "alike" and "like." Now, I'm thinking, "all politicians are alike" - "similar" *is* an adjective here.  Wait, "alike" is a direct synonym! So "look very similar" means "look very much alike." Got it.

I'm checking the sense keys in WordNet. I see:

*   `similar%3:00:00::` - correspondence or resemblance.
*   `similar%3:00:04::` - similar characteristics (like "alike").
*   `similar%3:00:02::` - resembling or similar.

I remember that "alike," "similar," and "like" are all related in WordNet, and I confirm the synonyms for sense 2 are "alike," "like," and "similar." And there's an example: "they looked utterly alike". "They look very similar" *exactly* fits this. Ah, "similar" is actually *in* the synset for sense 2! That's "having the same or similar characteristics" | synonyms = "alike," "like".

Wait, back to sense 1, which is the main sense: correspondence or resemblance. Examples like "similar food at similar prices." But is "look very similar" sense 2 or 1? I'm now thinking if it's "look alike", the synonyms are all there.

I'm checking in WordNet, "alike, similar, like":

Synset: "alike(p), similar, like (having the same or similar characteristics)" - which supports my earlier intuition.

And sense 1: "similar (marked by correspondence or resemblance)". So "they look very similar" functions like a predicate adjective, similar to "alike." Sense 2 is often used predicatively, as indicated by the WordNet notation "alike(p)" (even though it's not shown, the examples use it that way).

Since "similar" is used predicatively here ("they look very similar"), and sense 2 corresponds to "alike, like, similar," sense 2 is the best match. I'm going back to the definitions for clarity: Sense 1 is resemblance; Sense 2, similar characteristics.

"Maxima and Maple's syntax...they look very similar" means they *have* similar characteristics; they *look* alike.  Sense 2 is the *exact* match for this predicative use, meaning "alike."


[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}.

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

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

reasoning_content:
**Analyzing the Nuances of "Addition" in a Mathematical Context**

Okay, so I'm presented with "Addition" as the target word. The surrounding text immediately keys me into a mathematical environment. We're dealing with "kalgebra," MathML, and, crucially, fundamental math operators like "+", "-", "*", and "/". That alone narrows down the possibilities considerably. The goal is to pinpoint the correct *sense* of "Addition" in this context.

Looking at the definition for candidate sense 6, it specifically references "the arithmetic operation of summing; calculating the sum of two or more numbers". Bingo! Given the textual cues – the math software, the MathML which handles mathematical notation, and the explicit mention of operators like addition's "+" – this sense is unequivocally the correct one. The passage clearly focuses on the mathematical operation of addition itself, as opposed to perhaps a broader, more abstract concept. The context is perfectly aligned with sense 6.


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

[User]
Target lemma: 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}.

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

reasoning_content:
**Analyzing the Word "Subtraction"**

Okay, so we're dealing with mathematical operations here, specifically the basic ones: addition, subtraction, multiplication, and division. The word I need to clarify is "subtraction."

Let's look at the candidate senses. We have:

1.  *subtraction%1:04:01*: This is spot on; it describes subtraction as a distinct arithmetic operation where we calculate the difference between two numbers.
2.  *subtraction%1:04:00*: While this talks about the act of removing a part from a whole, it's a broader definition.

Given the context, the first sense is the clear winner. We're talking about the formal mathematical symbols and the associated operations. Therefore, *subtraction%1:04:01* perfectly captures the intended meaning of "subtraction" in this context. It's a precise match.


[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}.

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

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

reasoning_content:
**Analyzing the Word "Multiplication" in Context**

Okay, so the user wants me to pinpoint the intended meaning of "multiplication" within a specific sentence. My focus immediately narrows: it's part of a list of mathematical operations: "...+ - * /: Addition, subtraction, multiplication and division."

Let's break down the candidate senses they've provided. Sense 1, "producing offspring," is clearly irrelevant here. We're dealing with mathematical symbols and operations, not biology. Sense 2, "a multiplicative increase," is a bit closer – it touches on the *concept* of multiplication. But then I have to weigh it against Sense 3: "an arithmetic operation (inverse of division)."

The crucial clue is that this list includes addition, subtraction, and *division*. The symbol "*" is also used in the sentence to represent the term multiplication. The context is unequivocally mathematical. That directly links "multiplication" to a specific arithmetic *operation*, and the inverse relationship to division is spot on. Therefore, my assessment is that Sense 3 is the correct interpretation.


[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}.

raw_output:
```json
{"sense_index": 11}
```

content:
```json
{"sense_index": 11}
```

reasoning_content:
**My Analysis of "Division"**

Okay, the target word is "division," and the context mentions math symbols: plus, minus, multiplication, *and* division. Pretty straightforward; we're dealing with the mathematical operation here, not some other sense. It's clearly arithmetic, so I'll quickly check the candidates. Let's see... we've got "army unit," "part/section," the "act of dividing," several administrative and organizational uses, discord, sports leagues, and some biological and military usages.

Right away, sense 11, the one defining it as the *arithmetic operation that's the inverse of multiplication*, is a perfect match. That's the one. No need to overthink it; the context nailed it down.


[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}.

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

reasoning_content:
**My Reasoning on the Word "Power"**

Alright, the target word is "Power," and I'm dealing with a mathematical interface, specifically with mentions of functions, calculations, and MathML. That immediately puts me in a mathematical context. The surrounding text spells it out – we're talking about basic arithmetic: "+ - * /" for addition, subtraction, multiplication, and division, and then "... ^, **: Power..." That's a clear indicator; "Power" here has to be exponentiation, a mathematical operation.

Now, let's test the senses. I'll focus on the most relevant one, and there it is: *sense\_key=power%1:10:00::* | *definition=a mathematical notation indicating the number of times a quantity is multiplied by itself* | *synonyms=exponent, index.* Perfect! It's a precise match for what I'm dealing with.

The other senses, 1 through 5 and 7 through 9, just don't fit the mathematical context at all. So, the correct sense, without a doubt, is sense 6. Done.


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

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

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

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

reasoning_content:
**Analyzing the Meaning of "Use" in Context**

Okay, the target word is "use," and I need to determine its specific meaning here. The surrounding text is "Power, you can use them both. Also, it is possible to use the unicode ² characters." Immediately, I'm thinking verb, "use" as a verb. My internal lexicon kicks in, and I quickly review the potential senses: put into service, consume regularly (drugs, etc.), use up, exploit, avail oneself of, and a past tense habitual.

Given "you can use them both," referring to "power" and potentially the "unicode ² characters," the most logical fit is clearly Sense 1: "put into service; make work or employ for a particular purpose." This context is talking about utilizing these mathematical symbols.

Therefore, "you can use them both" translates perfectly to "you can employ them both" or "you can utilize them both," focusing on the concept of putting these symbols into service to calculate powers. I'm satisfied that Sense 1 is the correct interpretation here.


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

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

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

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

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

reasoning_content:
**Analyzing the Nuances of "Possible"**

Okay, so I'm looking at the word "possible" in the phrase "Also it is possible to use the unicode ² characters." Immediately, I'm parsing the potential senses. I've got two candidates. Sense 1, with the key `possible%3:00:00::`, defines it as "capable of happening or existing," which fits, but I'm looking for a more precise meaning here. Sense 2, `possible%3:00:04::`, describes something "existing in possibility," essentially synonymous with "potential," like "a *potential* problem."

The sentence "it is possible to use..." really highlights the *capability* aspect. Someone is able to do something, it is within their ability. "Possible" here acts as a predicative adjective, describing the action of "use". Therefore, Sense 1, "capable of happening or existing", is the strongest fit because the action described (using characters) is capable of being done. Sense 2 feels right for something like "a potential risk" where "possible" modifies a noun. In this context, the primary sense of "possible" seems to align with the first definition for "it is possible to do something". So, Sense 1 it is.


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

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

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

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

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

reasoning_content:
**Analyzing the Verb "Use"**

Okay, so the word I need to understand is "use" in that sentence about Unicode characters. My initial understanding, the meaning I'm going to work with, is the general sense of "put into service, employ, utilize." That's the baseline. Now, let's break this down further, just to be absolutely certain I'm on the right track, and to have a more complete understanding.

There's the core sense, which I'll call Sense 1: making something *work* for a particular purpose, employing it. That's essentially my initial thought, so it's likely the correct one. I'm already thinking about synonyms: utilize, apply, and employ are all strong contenders. This all fits perfectly with the context of Unicode characters.

I'm quickly dismissing some of the other senses. Sense 2, using drugs, is obviously irrelevant here. Sense 3, using something *up* implies depletion, and that doesn't fit with Unicode. Sense 4, using people for advantage, is also completely off base. Sense 5, availing oneself, like practicing a religion, is nowhere near the meaning in this sentence. And Sense 6, being accustomed to something, "used to", isn't even in the correct form.

Therefore, given the context of Unicode characters and their application, Sense 1, the act of employing or utilizing, is unequivocally the most fitting and accurate interpretation of "use" in this sentence. It's a clear application of a tool or method. It is the only sensible interpretation in this case.


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

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

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

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

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

reasoning_content:
**Deconstructing the Meaning of "Powers"**

Okay, so the prompt gives me the word "Powers" and I need to figure out the correct sense based on the context: "^, **: Power, you can use them both... Powers are one way to make roots too." Immediately, my mind jumps to mathematical exponents. The "^" symbol is a dead giveaway, as is the reference to "roots." I need to confirm this is the correct sense, so I'll review my mental dictionary definitions. Let me see, sense 6 is defined as "a mathematical notation indicating the number of times a quantity is multiplied by itself," synonyms include "exponent" and "index". Yes, that is consistent with the context and what I already intuited from the symbols. That confirms it. The correct sense here is definitely the mathematical one, the concept of exponents.


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

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

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

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

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

reasoning_content:
**Analyzing the Semantic Senses of "Way"**

Okay, the target word is "way" within the phrase "Powers are one way to make roots too." Right, so I need to determine the intended sense of "way" here. Immediately, it seems like we're talking about a *method* or *means* of achieving something, which points me towards those definitions. Specifically, the candidate senses I have are:

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

"Powers are one means to make roots too." That fits perfectly with sense 2. It’s clear.

But, I should check the other definition, sense 1, just to be sure. "Manner, mode, style, fashion". Let me see… "Powers are one fashion to make roots"? No. "Powers are one style to make roots"? Definitely not. It's more about achieving an *outcome*, not describing *how* something is done in a general sense. Sense 2 aligns with the goal of the sentence. "Powers are a means to achieve the end of making roots". This sounds perfect.

Let me just double-check, for clarity. Sense 2: "how a result is obtained or an end is achieved". Sense 1: "how something is done or how it happens". Typically, "a way to do X" maps to means/agency, precisely sense 2. We're talking about a method, and as the example states, a way to make roots is very similar to "a means of control."

Yup, sense 2 is the best fit. I'm choosing sense 2.


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

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

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

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

raw_output:
```json
{"sense_index": 4}
```

content:
```json
{"sense_index": 4}
```

reasoning_content:
**Analyzing the Nuances of "Roots"**

Okay, so the target word is "roots," and the context is all about mathematical operations like addition, subtraction, multiplication, division, and exponents. Immediately, my mind jumps to the mathematical definition of roots. The phrase "Powers are one way to make roots too" really hammers this home. Clearly, we're dealing with algebraic roots and their relationship to powers.

Let's break this down. First, there's the botanical sense, which is irrelevant here. Then there are senses like "origin" and "linguistic root," which are also completely out of scope. But, looking at the more specialized senses, things get interesting.

Sense 4, "a number that, when multiplied by itself some number of times, equals a given number" – that's the one! It's the definition of a root, perfect. This sense directly relates to taking a number to a fractional power, and fits the prompt's reference to powers like a glove. Sense 5 talks about roots as the solutions to an equation, like the roots of a polynomial. However, the connection to power operations strongly indicates sense 4.

The fact that the context explicitly mentions "powers" as a *way* to get roots really seals the deal. This is all about finding the nth root of a number, that is, x^(1/n). So, sense 4 is the clear winner here.


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

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

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

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

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

reasoning_content:
**Analyzing the Usage of "Too"**

Okay, let's break this down. The context mentions "Powers are one way to make roots too." The critical word here is "too," and I need to pinpoint its precise meaning. My expert intuition tells me this is key to the meaning.

The objective is to determine which of the senses of "too" is in play here. I have to select a sense number. "Too" here functions as "as well" or "also," implying something is happening in addition to something else. I looked at the definitions of "too" and can see that the second sense perfectly captures this concept: "in addition." The synonyms provided, such as "besides," "also," and "likewise," further reinforce this interpretation.

Sense 1, which refers to "excessively," doesn't fit the context at all. It's clearly not an exaggeration or an overstatement about the powers. It's a statement about addition.

Therefore, sense index 2 is the correct interpretation.


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

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

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

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

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

reasoning_content:
**Analyzing the Meaning of "Way" in Context**

Okay, so the lemma I'm working with is "way," and the surrounding text is "-gt: It's the way to specify the bounded variable in a function." My initial thought is that "way" here refers to the method or means used to specify this variable. Let's see... I've identified two candidate senses:

1.  "how something is done or how it happens" – that's like *manner* or *mode*.
2.  "how a result is obtained or an end is achieved" – that's closer to *means* or *agency*.

I need to nail down the distinction. Let's look at examples: "her dignified manner" clearly fits sense 1, while "a means of control" is definitely sense 2.

In our context, "It's the way to specify..." translates to "It's a means of specifying..." which strongly suggests sense 2, as it’s the method of achieving this outcome. But let me pause... is "way to do something" inherently sense 2?

Remembering the previous example sentence from the text: "Powers are one way to make roots too". With WordNet, "way to make roots" and "way to specify" both seem to align best with "means, agency," the idea of a tool or method to get something done.

Let's revisit sense 1: "how something is done or how it happens". Examples like "her dignified manner" or "rapid manner of talking" come to mind. These describe *how* something is, or *how* someone does it.

Whereas with sense 2: "how a result is obtained or an end is achieved". Thinking of "a means of control", or in this case "It's the way to specify...", really, I am choosing sense 2. It’s the *means* to specifying a bounded variable.


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

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

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

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

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

reasoning_content:
**Analyzing the Lemma "Specify"**

Okay, so the target lemma here is "specify." The context is: "-gt: It's the way to specify the bounded variable in a function." Right, so we're talking about syntax, likely within a symbolic math environment like Maxima or Maple. The goal is to define, or more precisely, pin down the bounded variable in a function's definition. Let's see...

Candidate 2: "decide upon or fix definitely," with synonyms like "set, determine, define, fix, limit," and examples like "fix the variables; specify the parameters." Bingo! That's a spot-on match for "specify the bounded variable." The idea of *fixing* the variable within a specific range or definition is exactly what's needed.

Candidate 3 ("determine the essential quality of") doesn't quite fit. It's too abstract. Candidate 4 ("be specific about") is close, but "fix definitely" is more precise for this context. Candidate 5 ("define clearly (pin down)") is also okay, but it leans a bit more general, but Candidate 2 is the best fit, as it also provides a suitable example.

Candidate 2 is the clear winner here.


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

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

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

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

content:
```json
{"sense_index": 4}
```

reasoning_content:
**Analyzing "Variable" in a Mathematical Context**

Okay, the target word is "variable," and the context is all about mathematical syntax, like what you'd see in Maxima or Maple. They're talking about how to specify a "bounded variable" in a function, which immediately makes me think of mathematical variables – the symbols we use in equations. Let's see... the candidate senses I'm considering are: something that can change, a quantity that takes on different values, a variable star (that's irrelevant here), and finally a symbol used to represent a quantity in an equation.

Since the context is focused on *syntax* and specifying a "bounded variable" within a function, the fourth sense—the *symbol* itself—feels like the best fit. I'm imagining something like 't' in `f(t)`. Let me just quickly confirm that's better than sense 2, a quantity that takes on different values. The "bounded variable" phrase directly relates to specifying the *symbol*, like that 't' in the function's syntax, in the code. Therefore, sense 4 is definitely more precise because it is more direct. I mean, we're explicitly talking about the syntax, where you *define* the symbol used in an equation, like `f(t) = t^2 + 5`. Sense 2 refers to the quantity's ability to take different values.

So, I'm going with sense 4: "a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity". That's the one.


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

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

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

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

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

reasoning_content:
**Analyzing the Significance of "-gt" in a Computer Algebra Context**

Okay, so I'm presented with this snippet that seems to be about computer algebra systems – specifically mentioning "maxima" and "maple's syntax," which immediately puts me in a mathematical and computational mindset. They're talking about standard math operations like addition, subtraction, etc., and then this "-gt" phrase pops up, described as a way to "specify the bounded variable in a function." My first instinct, given the context, is that "function" here isn't just any old program routine, but a *mathematical* function, or a subroutine representing a mathematical operation.

The phrase "bounded variable" is a huge clue. That's a classic math/logic term! It screams "math function" to me – think $f(x)$ where 'x' is that bounded variable. I briefly considered that "routine" (as in a programming subroutine) could be the intended meaning, but the "bounded variable" is what really nails it down as a mathematical function. In fact, if I'm thinking about it in Maple syntax, that `-gt` (or maybe `-gt;`?) could be referring to the arrow operator used in function definitions, like `x -> x^2`. That's *exactly* how you'd specify the bounded variable in a function mapping.

Checking the definitions. Sense 1 – the mathematical function – aligns perfectly with the bounded variable. Sense 7 is just a set of instructions, which doesn't sit as strongly as defining the variable in the function.

Given the discussion of mathematical operations and the specific phrase "bounded variable," I'm confident that Sense 1 is the correct interpretation. The "-gt" is a syntax element related to function definition within a computer algebra system, not just a general subroutine.