[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: type
Target surface form: type
Context:
kalgebra is a MathML based graph calculator. 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 <t>type</t> 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.

Candidate senses:
1. sense_key=type%2:32:00:: | definition=write by means of a keyboard with types | synonyms=typewrite | examples=type the acceptance letter, please
2. sense_key=type%2:31:00:: | definition=identify as belonging to a certain type | synonyms=typecast | examples=Such people can practically be typed

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 Prompt: Defining "Type"**

Okay, so I'm looking at this prompt, and it's asking me to find an input field where I can, essentially, "type" functions or perform calculations. Immediately, the word "type" jumps out. I need to make sure I understand the intended meaning here. The context is pretty clear: it's about *using* an input field.

Candidate 1, that's "typewrite," it's a perfect fit. It maps directly to the action of using a keyboard to input information.

Candidate 2, "typecast," doesn't make any sense here. That's about classifying something, giving it a data type, more of a conceptual identification. That's clearly the wrong interpretation in this situation.

So, yeah, it’s obvious: the correct interpretation of "type" here is the straightforward action of *typing* on a keyboard – using the first candidate. Problem solved. Moving on.


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: function
Target surface form: functions
Context:
kalgebra is a MathML based graph calculator. 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 <t>functions</t> 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.

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

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

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

finish_reason: stop

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

role: assistant

reasoning_content:
**Analyzing the Kalgebra Calculator Functionality**

Okay, so I'm looking at this "Kalgebra" graph calculator, and the phrase "type your functions or do your calculations" has caught my attention. Immediately, my brain zeroes in on the potential mathematical implications. When someone says "functions" in this context, my expert intuition screams **Sense 1: (mathematics) a mathematical relation... synonyms=mathematical function, single-valued function, map, mapping.** We're talking about *mathematical* functions, the very building blocks of the calculations this thing performs. Sure, **Sense 7: computer program routine** could apply, but that's a less precise fit here. The instructions specify typing *functions*, which strongly implies expressions like *f(x) = x^2* to be graphed, manipulated, and analyzed. Therefore, the core meaning of "function" here is undeniably the *mathematical* one. I'm confident in assessing that as the correct interpretation. This is classic mathematical function notation.

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: do
Target surface form: do
Context:
kalgebra is a MathML based graph calculator. 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 <t>do</t> 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.

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}.

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

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

reasoning_content:
**Analyzing the Nuances of "Do" in Context**

Okay, the target is "do" in "do your calculations." Let's see... the system offers a few options. The first one, "engage in (make)", seems a little broad. My expert intuition leans towards "carry out or perform an action" as a better fit, like "John did the painting." That's the core of it, right? Doing calculations is performing an action.

Now, let's just make sure. The third option, "get (something) done," is a bit more general like "I did my job." It's not *wrong*, but it lacks the precision. Okay, I'm confirming that "carry out or perform an action" makes the most sense. "Do your calculations" is closely analogous to "do the painting" or "do the weeding," which makes sense. Sense 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: calculation
Target surface form: calculations
Context:
kalgebra is a MathML based graph calculator. 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 <t>calculations</t>. 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.

Candidate senses:
1. sense_key=calculation%1:04:00:: | definition=the procedure of calculating; determining something by mathematical or logical methods | synonyms=computation, computing
2. sense_key=calculation%1:09:00:: | definition=problem solving that involves numbers or quantities | synonyms=computation, figuring, reckoning
3. sense_key=calculation%1:09:01:: | definition=planning something carefully and intentionally | synonyms=deliberation | examples=it was the deliberation of his act that was insulting

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:
**My Interpretation of "Calculations" in this Context**

Okay, the target word is "calculations," and I'm thinking about it in the context of either typing functions or working within a math graph calculator. My mind jumps to a few different senses. First, there's the abstract *procedure* of calculating – the process itself. That’s akin to “computation” or “computing.” Then, there's Sense 2, which is more about the specific *problems* or the *act* of figuring out numerical quantities. This overlaps a bit with terms like “computation,” “figuring,” or “reckoning.” Lastly, I noted Sense 3, a less likely, planning context.

My immediate thought is, when someone says "do your calculations," that usually implies the *solving* of math problems, handling specific quantities. However, I’ve got to be meticulous, so I need to check myself. I'm going to look at the WordNet definitions.

Ah, here's where it clarifies. WordNet draws a distinction between the *procedure* of calculating (Sense 1), and the *solving* of problems that is done (Sense 2). And it's "do your calculations." So, the plural form is hinting that we're dealing with individual problems, individual reckonings, rather than the general *procedure*. But... wait, the abstract procedure could also be plural. However, now I'm leaning toward Sense 2.

"Do your calculations" is really pointing towards working out some number or quantity-based problems. I'm choosing Sense 2 as the most accurate.


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

Candidate senses:
1. sense_key=want%2:37:00:: | definition=feel or have a desire for; want strongly | synonyms=desire | examples=I want to go home now; I want my own room
2. sense_key=want%2:34:00:: | definition=have need of | synonyms=need, require | examples=This piano wants the attention of a competent tuner
3. sense_key=want%2:35:00:: | definition=hunt or look for; want for a particular reason | examples=Your former neighbor is wanted by the FBI; Uncle Sam wants you
4. sense_key=want%2:31:01:: | definition=wish or demand the presence of | examples=I want you here at noon!
5. sense_key=want%2:42:01:: | definition=be without, lack; be deficient in | examples=want courtesy; want the strength to go on living

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 "Want" in Context**

Okay, so the target word here is "want" within the phrase "If we want to understand how it works...". My immediate mental processing is focused on disambiguation; "want" is a notoriously polysemous word. Let's break down the potential senses to arrive at the most appropriate.

First, the core sense: feeling a desire for something, strongly. That's the most intuitive, and the synonyms—"desire"—immediately pop into mind. Then, there's the sense of "having need of" or "requiring," like a mechanism needing maintenance. Another sense is "to seek or hunt for," which doesn't seem to apply in this context. There's also the sense of demanding the presence of something, or be without it. Finally, the rather less common sense of "lacking" or "being without."

Looking at "If we want to understand," the context clearly points towards Sense 1: a *desire* or *wish* to understand. It's not about lacking understanding, requiring it, seeking it, or demanding its presence. The intention of the phrase is to imply a desire for the knowledge being discussed, making sense 1, in my opinion, the most accurate fit.


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

Candidate senses:
1. sense_key=understand%2:31:00:: | definition=know and comprehend the nature or meaning of | examples=She did not understand her husband; I understand what she means
2. sense_key=understand%2:31:01:: | definition=perceive (an idea or situation) mentally | synonyms=realize, realise, see | examples=Now I see!; I just can't see your point
3. sense_key=understand%2:31:03:: | definition=make sense of a language | synonyms=read, interpret, translate | examples=She understands French; Can you read Greek?
4. sense_key=understand%2:31:02:: | definition=believe to be the case | synonyms=infer | examples=I understand you have no previous experience?
5. sense_key=understand%2:31:04:: | definition=be understanding of | synonyms=sympathize, sympathise, empathize, empathise | examples=You don't need to explain--I understand!

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 "Understand"**

Okay, so the prompt uses "understand" in the phrase "If we want to understand how it works." My initial instinct, given my expertise, is to break down what "understand" really *means* in that context. We're not just looking at a surface-level interpretation; we're diving into the mechanics.

The core of it is the ability to know and comprehend the *nature* or *meaning* of "how it works." That's the key. So, I need to know the meaning of the word itself.

There are a couple of relevant senses: first, simply to know and comprehend, like "I understand what she means". And second, more like perceiving mentally – realizing or seeing an idea or situation. I initially leaned towards Sense 1, and I think I'm still there. However, it's worth a second look, but yes, comprehending the mechanics of a program fits better. The "know and comprehend the nature or meaning of" from Sense 1 is a clear indicator that that's the more general and therefore appropriate meaning in this case. I think that nails it.


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

[User]
Target lemma: work
Target surface form: works
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 <t>works</t>, 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.

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

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

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

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

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

Okay, so the target word is "works" in this sentence about understanding how the kalgebra application functions. "It" refers to the kalgebra software, and the question is essentially asking *how it operates*. Right, let's look at the candidate senses.

Candidate 4 jumps out initially: "perform as expected when applied" - seems like a good fit, with synonyms like "function," "operate," "go," "run." Those synonyms definitely resonate with the idea of how software behaves. We've got examples like "The washing machine won't go unless it's plugged in," and "Does this old car still run well?" – good analogies. Candidate 3, "have an effect or outcome; often the one desired or expected," is also there but feels slightly less precise in this context. "How does your idea work in practice?" - it just does not connect in my mind to a discussion on a technical level.

Let's double-check candidate 4, focusing on software operation. "How a computer program works" – definitely functions, operates, right? Yes, that's work%2:35:02::. This is the sense that best captures how software functions. Excellent.


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

Candidate senses:
1. sense_key=best%3:00:00:: | definition=(superlative of `good') having the most positive qualities | examples=the best film of the year; the best solution
2. sense_key=best%5:00:00:advisable:00 | definition=(comparative and superlative of `well') wiser or more advantageous and hence advisable | synonyms=better | examples=it would be better to speak to him; the White House thought it best not to respond
3. sense_key=good%3:00:01:: | definition=having desirable or positive qualities especially those suitable for a thing specified | synonyms=good | examples=good news from the hospital; a good report card
4. sense_key=full%5:00:00:ample:00 | definition=having the normally expected amount | synonyms=full, good | examples=gives full measure; gives good measure
5. sense_key=good%3:00:02:: | definition=morally admirable | synonyms=good
6. sense_key=estimable%5:00:00:reputable:00 | definition=deserving of esteem and respect | synonyms=estimable, good, honorable, respectable | examples=all respectable companies give guarantees; ruined the family's good name
7. sense_key=beneficial%5:00:00:advantageous:00 | definition=promoting or enhancing well-being | synonyms=beneficial, good | examples=an arms limitation agreement beneficial to all countries; the beneficial effects of a temperate climate
8. sense_key=good%5:00:00:nice:00 | definition=agreeable or pleasing | synonyms=good | examples=we all had a good time; good manners
9. sense_key=good%5:00:00:righteous:00 | definition=of moral excellence | synonyms=good, just, upright | examples=a genuinely good person; a just cause
10. sense_key=adept%5:00:00:skilled:00 | definition=having or showing knowledge and skill and aptitude | synonyms=adept, expert, good, practiced, proficient, skillful | examples=adept in handicrafts; an adept juggler
11. sense_key=good%5:00:00:complete:00 | definition=thorough | synonyms=good | examples=had a good workout; gave the house a good cleaning
12. sense_key=dear%5:00:00:close:02 | definition=with or in a close or intimate relationship | synonyms=dear, good, near | examples=a good friend; my sisters and brothers are near and dear
13. sense_key=dependable%5:00:00:sound:00 | definition=financially sound | synonyms=dependable, good, safe, secure | examples=a good investment; a secure investment
14. sense_key=good%5:00:00:opportune:00 | definition=most suitable or right for a particular purpose | synonyms=good, right, ripe | examples=a good time to plant tomatoes; the right time to act
15. sense_key=good%5:00:00:fortunate:00 | definition=resulting favorably | synonyms=good, well | examples=it's a good thing that I wasn't there; it is good that you stayed
16. sense_key=effective%5:00:00:operative:00 | definition=exerting force or influence | synonyms=effective, good, in effect, in force | examples=the law is effective immediately; a warranty good for two years
17. sense_key=good%5:00:00:pleasing:00 | definition=capable of pleasing | synonyms=good | examples=good looks
18. sense_key=good%5:00:00:intellectual:00 | definition=appealing to the mind | synonyms=good, serious | examples=good music; a serious book
19. sense_key=good%5:00:00:healthy:00 | definition=in excellent physical condition | synonyms=good, sound | examples=good teeth; I still have one good leg
20. sense_key=good%5:00:00:healthful:00 | definition=tending to promote physical well-being; beneficial to health | synonyms=good, salutary | examples=beneficial effects of a balanced diet; a good night's sleep
21. sense_key=good%5:00:00:genuine:00 | definition=not forged | synonyms=good, honest | examples=a good dollar bill
22. sense_key=good%5:00:00:fresh:01 | definition=not left to spoil | synonyms=good, undecomposed, unspoiled, unspoilt | examples=the meat is still good
23. sense_key=good%5:00:00:discriminating:00 | definition=generally admired | synonyms=good | examples=good taste

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 Best Thing We Can Do"**

Okay, so the prompt gives me "best" in the phrase "the best thing we can do." My initial thought is to identify this as an adjective phrase. Let's see... looking at the options, Candidate 1, "best%3:00:00:: | (superlative of `good') having the most positive qualities," seems to fit perfectly. It's the standard definition, like "the best film of the year" or "the best solution." Candidate 2, "best%5:00:00:advisable:00 | (comparative and superlative of `well') wiser or more advantageous and hence advisable," is interesting, but less relevant here. It leans more towards "better" and "advisable," which is not quite the same. Thinking it through, "the best thing we can do" describes a quality of the "thing" – a superlative quality, if you will. The phrase is modifying "thing," and "the best solution" is directly parallel, so I'm choosing Candidate 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: thing
Target surface form: thing
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 <t>thing</t> 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.

Candidate senses:
1. sense_key=thing%1:26:00:: | definition=a special situation | examples=this thing has got to end; it is a remarkable thing
2. sense_key=thing%1:04:00:: | definition=an action | examples=how could you do such a thing?
3. sense_key=thing%1:09:00:: | definition=a special abstraction | examples=a thing of the spirit; things of the heart
4. sense_key=thing%1:06:00:: | definition=an artifact | examples=how does this thing work?
5. sense_key=thing%1:11:00:: | definition=an event | examples=a funny thing happened on the way to the...
6. sense_key=thing%1:09:02:: | definition=a vaguely specified concern | synonyms=matter, affair | examples=several matters to attend to; it is none of your affair
7. sense_key=thing%1:10:00:: | definition=a statement regarded as an object | examples=to say the same thing in other terms; how can you say such a thing?
8. sense_key=thing%1:06:01:: | definition=an entity that is not named specifically | examples=I couldn't tell what the thing was
9. sense_key=thing%1:07:00:: | definition=any attribute or quality considered as having its own existence | examples=the thing I like about her is ...
10. sense_key=thing%1:09:01:: | definition=a special objective | examples=the thing is to stay in bounds
11. sense_key=thing%1:12:00:: | definition=a persistent illogical feeling of desire or aversion | examples=he has a thing about seafood; she has a thing about him
12. sense_key=thing%1:03:00:: | definition=a separate and self-contained entity

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 "Thing" in Context**

Okay, so the word "thing" is the target, specifically in that "the best thing we can do is to realize..." phrase. Right away, I start running through the potential senses. Let's see... a special situation, an action, an abstraction, an artifact, an event, a vaguely specified concern, a statement, an entity not named specifically, an attribute, a special objective, a feeling of desire, a separate entity... That's a lot to sift through.

Given the sentence structure "the best *thing* we can *do* is...", my initial thought leans towards "action". The phrase "how could you do such a thing?" really hammers that idea home. "Do" directly implies an action, so let's stick with that.

Alright, checking Sense 2, "an action". Does it fit? "Best thing we can do..." Yeah, that seems to work pretty well.

Hmm, wait. Sense 10, "a special objective," is also a contender. That example, "the thing is to stay in bounds," is pretty close. However, the use of "do" still points towards an action.

Ultimately, I think Sense 2, "an action," is the best fit. I'm going to choose that 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: 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 Nuances of "Do"**

Okay, so I'm presented with the sentence: "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." My immediate thought is to dissect the meaning of "do" in the phrase "the best thing we can do." It seems like a simple word, but context is everything.

First, I consider if "do" leans more towards "carry out or perform an action" (sense 2) or "engage in" (sense 1). The phrasing "the best *thing* we can *do*" sounds like we're performing some action to achieve an end, so I lean toward sense 2: perform, execute. In fact, if I were to rephrase, I might use "perform". Sense 3, "get (something) done" also feels weak. I want a more general description of performance.

I’m drawn to sense 2: carry out or perform an action. That feels the most general and appropriate.
Let me compare.
Sense 2 suggests "John did the painting..." or "performing an action".
Let's see: sense 1 has examples like "make love, not war; make an effort".
Ah, yes! "What we can do" fits "perform an action." This is the best choice. Sense 2 it is. It's the most precise fit for what's being conveyed, focusing on the action of realizing something, making it the most appropriate interpretation in this 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: 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}.

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

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

Okay, so the target word is "realize" in that sentence, and I need to figure out the best sense to use. I'm immediately thinking of two senses: "be fully aware or cognizant of" – that's like *recognizing* something – and "perceive (an idea or situation) mentally," which is more along the lines of *understanding* or *seeing* something. The sentence reads, "...to realize that our input is being converted..." so I need to check the context.

I'm leaning towards realizing that "our input is being converted," which implies becoming aware of or understanding that fact. I'm noting that "realize" is used with "that" for both. So, that narrows down the options. I'm pulling up WordNet to see what it has to say and it distinguishes the two senses clearly. "Realize" can mean "be fully aware or cognizant of" or to "perceive (an idea or situation) mentally." The examples in WordNet are helpful in distinguishing, like "Now I see!" for the second definition.

Now, my initial thought is, "realize that..." is often associated with the first sense, "be fully aware..." So, is it "recognize"? Let's check. Is that really true? Hmm, the more I think about it, the more "understand" seems like a better synonym here. The sentence does say "If we want to understand," so does "realize" also mean "understand"? "Realize that..." should mean 'become aware', and "understand" is a valid synonym.

Okay, let's look at the first definition, "be fully aware." Is that right? I'm getting a little mixed up. The WordNet examples are helpful, but I need to focus on *this* specific context. I'm still trying to grasp the nuances and which one fits the best.

Wait, let's think again, "understand" -> "perceive mentally". "realize that our input is being converted". Being aware of a fact. I'm leaning toward the understanding or becoming aware of a fact. But is it right? No, wait, sense 1 is "be fully aware or cognizant of..." Sense 2 is "understand, see." I think it's more of becoming fully aware.

Okay, I'm going with "be fully aware or cognizant of." The best fit 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: 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}.

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

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

Okay, so the task is to pinpoint the most precise meaning of "converted" in the context of transforming input data into MathML. It's a format conversion, so I'm immediately leaning towards the idea of a change. The provided candidates are interesting. Candidate 1 is "change from one system to another," which is a strong contender. Candidate 2 is "change the nature, purpose, or function of something," and Candidate 4 is "exchange or replace with another."

Initially, I thought format conversion leaned more towards Candidate 1 or 2. Changing input data to MathML is definitely a format change. However, I considered scenarios like converting lead to gold – that's a *significant* alteration of nature, Candidate 2. In computing, both "change the nature, purpose, or function" *and* "change from one system to another" seem relevant for format conversions.

Hmm, data conversion *could* be like sense 1: "We converted from 220 to 110 Volt". But wait a second, "change from one system to another" is that always intransitive? I need to think about that.

Let's look at the sentence itself: "our input is being converted into MathML". It *does* change form. Sense 2 (convert%2:30:03) offers examples like converting lead to gold or hotels to jails; *that* feels right, because it models the structure "convert X into Y". I should check the alternatives again, just in case. Sense 1 is "change over" (transitive or intransitive? That's a good question.) But actually, "our input is being converted into MathML" fits best with the "convert X into Y" pattern (Sense 2). I'm confident with this meaning.


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

[User]
Target lemma: necessary
Target surface form: necessary
Context:
Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not <t>necessary</t> to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

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

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

reasoning_content:
**My Assessment of the MathML Requirement**

Okay, so the context is pretty clear: it states that knowledge of MathML isn't *necessary*. That really focuses my thinking. I see this as a key point. This means, in this specific case, it's not strictly indispensable.

Now, I'm comparing the possible meanings of the phrase. Sense 1 is what I'd consider the most obvious in this situation - it's that something is absolutely essential. Sense 2, which I would characterize as something being unavoidably determined by prior circumstances, doesn't seem to fit the bill here. This leads me to believe I should consider Sense 1 as being the most important.


[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:
**Deconstructing the Nuance of "Know" in a Technical Context**

Okay, so the task is to pinpoint the specific meaning of "know" in that phrase about MathML. Clearly, it's not the simple awareness of a fact (like "I know the sky is blue"). We're dealing with MathML, a mathematical markup language. My immediate thought is, what are the nuances of *knowing* a language?

Let's dissect the possibilities. Does "know MathML" mean having it memorized, fully internalized, like "I know Latin"? That's a strong contender. Or is it more of a general familiarity, like "She doesn't know this composer"? That could fit, but feels a little weak given the technical nature of MathML.

Looking at the definitions, sense 7, "have fixed in the mind," resonates most closely. It conveys that deep understanding, that fluency we associate with mastery. Sense 4, "be familiar or acquainted," is close, but 7 seems like the better fit for understanding a technical language well. Given the example and the technical aspect, I'd say sense_key=know%2:31:15:: is the most accurate definition of "knowing" MathML.


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

[User]
Target lemma: base
Target surface form: based
Context:
Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have <t>based</t> the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar.

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

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

reasoning_content:
**Disambiguating "Based" in My Syntax Statement**

Okay, so I'm looking at "I have based the syntax basically on common sense..." and need to be precise. The word "based" is doing some heavy lifting here. Let's break down the possible meanings. I quickly identify a few likely candidates:

1.  *Use as a basis for; found on*. This feels intuitively right. If I'm basing the syntax on common sense, that's saying common sense is the fundamental principle, the foundation. The claim or argument is derived or derived from this basis.
2.  *Situate as a center of operations.* This, I can dismiss this pretty quickly. This definition has no real bearing on syntax, so this is unlikely.
3.  *Use purified cocaine.* Ha! This is a joke response, and should be eliminated as an obviously absurd suggestion that doesn't fit the context.

Given the context of syntax and its relationship to principles, candidate one is clearly the only reasonable one. Therefore, "based" means "use as a basis for" or "found on". The syntax is derived from, built upon, or relies on common sense as its primary principle.


[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 Simplicity Parameter**

Okay, so the prompt emphasizes "it should not be hard for anyone." That's the baseline, the core constraint. My initial task is to map out what "hard" actually *means* in this context. And the obvious, most direct association is Candidate 1: "not easy; requiring great physical or mental effort to accomplish or comprehend or endure." This feels immediately relevant – it's practically synonymous with "difficult."

The whole point is that the syntax – the way this thing works, the structure – *shouldn't* be difficult to grasp or employ. It should be intuitive, accessible. This definition of "hard," this mental effort aspect, directly mirrors the intent. Thinking about "hard" in terms of syntax, ease of understanding, and ease of use, I see Sense 1 as an exact fit. It’s a perfect 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: 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 Usage of "Closely"**

Okay, so the word I need to understand is "closely" in the sentence "I've looked closely to maxima and maple's syntax so they look very similar." My immediate thought is, what's the intended meaning here? Let's break it down.

The core idea is that there's a careful examination or observation taking place. The phrase is obviously suggesting a degree of attention given to the syntax of Maxima and Maple. Now, let's consider potential senses. I've got a few candidates to consider from my mental lexicon: first, it *could* imply a close physical relation or proximity in time or space, but that’s clearly not the right fit here, and the syntax relation is abstract. Next, there's the sense of being "in an attentive manner"—looking "closely" as in paying sharp attention to detail, which seems a strong possibility. The third sense, where "closely" means in a close manner such as intimately or nearly, is a little further from the target usage.

Sense 2 – “in an attentive manner” – that's the one. It perfectly captures the meaning here, as looking "closely" is an adverbial form of the adjective "close" with the intent of close inspection. That's 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: 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:
**Analyzing the Usage of "Look"**

Okay, so I'm dissecting the word "look" in this sentence: "I've looked closely to maxima and maple's syntax so they look very similar." The context is key here. It's about comparing kalgebra's syntax to Maxima and Maple. I've already established that I've carefully examined the syntax of Maxima and Maple. Now, the question is, what does "look" mean in the phrase "so they look very similar"?

Let's run through the candidate senses. First, there's the one I used earlier – "perceive with attention," which clearly doesn't fit here. Then, we have "give a certain impression or have a certain outward aspect," essentially, "appear" or "seem." That's the one! Thinking about it, "so they *appear* very similar" makes perfect sense. They share a similar outward form. It’s about the syntax *as it presents itself*.

The other two senses, "have a certain outward or facial expression" and "search or seek," are obviously irrelevant. So, after a quick disambiguation, I'm confident the intended sense is the second one – that *they* (the syntaxes) *appear* to be, and therefore are, very similar. It's about superficial resemblance. Case closed.


[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}.

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

reasoning_content:
Okay, here's my breakdown of this.

**Analyzing "Very" in Context**

Alright, the word in question is "very," and the phrase is "they look very similar." My immediate task is to nail down the precise meaning of "very" in this specific instance. I need to leverage my semantic expertise to do this, so I'm thinking about its different senses.

I've identified two primary senses of "very" that are relevant here. First, there's the intensifier sense – where "very" acts like "really" or "extremely," cranking up the degree of something. We've got examples like "she was very gifted," or "he played very well." Then, there's a more specific sense, something along the lines of "precisely" or "exactly." Think "on the very next page," or "the very opposite."

Given the phrase, "they look *very* similar," I quickly determine that sense one is the right one. It's about intensifying the degree of similarity. The "very" emphasizes how alike they are, not pointing out some exact instance. So, I've got my answer. The function of "very" in "they look very similar" is as an intensifier, essentially meaning "really" or "extremely."


[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:
**Deconstructing the Nuances of "Similar"**

Okay, so the target word is "similar" in the context "I've looked closely to Maxima and Maple's syntax so they look very similar." My immediate thought is, what precise sense of "similar" is being used here? It's about resemblance, definitely, but there are shades of meaning. I have two candidates: "marked by correspondence or resemblance" and "having the same or similar characteristics."

The synonym "alike" jumps out in candidate two. The sentence "they look very similar" mirrors the example "they looked utterly alike". Hmm. Is it `similar%3:00:04::` or `similar%3:00:00::`? The first has "alike" as its head word. The second has "similar" as the head word. But the first is a satellite and fits better with "they look very similar," which matches "they looked utterly alike." Sense two is the winner.

I'm double-checking WordNet structure now to confirm. `similar%3:00:04::` does indeed map to "similar, alike, like" – "having the same or similar characteristics." `similar%3:00:00::` is the main adjective, "marked by correspondence or resemblance." In this instance, "similar" acts as a predicate adjective, comparing "Maxima and Maple's syntax". While both senses are technically possible, predicate adjectives comparing subjects without a "to" phrase often align with "alike." "they looked utterly alike" is the parallel.

Let's quickly check sense one's examples, "similar food at similar prices; problems similar to mine." Nope, sense two fits the sentence far better. Given "they look very similar" and "they looked utterly alike," sense two is definitely the correct interpretation here. "They" *are* highly alike in their characteristics.


[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:
**My Analysis of "Addition" in This Context**

Okay, so the target word is "Addition." The context screams *kalgebra* – which, from my experience, centers around mathematical operations in a software tool. The phrase itself is clear: "+ - * /: Addition, subtraction, multiplication and division." It's a dead giveaway; we're dealing with the arithmetic operation, the fundamental concept.

Now, let's consider potential senses. I run through the mental list: "component added," "act of adding," "quantity added," "something added." Then I hit a curveball, a "suburban area". Right, and then back to the root concept, an "arithmetic operation of summing," like "four plus three equals seven." That sixth sense is the only one that makes logical sense here, given the explicit context. It's the only one that aligns with *kalgebra* and the listed operators. My selection is the arithmetic operation. 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: subtraction
Target surface form: subtraction
Context:
kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, <t>subtraction</t>, multiplication and division. ^, **: Power, you can use them both.

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

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

reasoning_content:
**Analyzing "Subtraction" in the Context of KAlgebra**

Okay, the target word is "subtraction," and we're dealing with math software – specifically, KAlgebra. My immediate thought is, let's nail down what "subtraction" *means* here. The context mentions a suite of mathematical operations: "+ - * /" – addition, *subtraction*, multiplication, and division. So, it's pretty clear that Candidate 1 is the way to go. It's the arithmetic operation itself, the counterpart to addition and the others. Candidate 2, the idea of removing a part from a whole, isn't *wrong*, exactly, but it's too general. Given the company we're keeping, Candidate 1's precision is the winner, no contest. We're talking about *performing* subtraction within a mathematical framework, not just the abstract concept. Makes sense.


[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:
**My KAlgebra Parsing Thoughts**

Alright, let's break this down. We're talking KAlgebra syntax, specifically the basics of calculations. The text mentions "Addition, subtraction, multiplication and division." My mind immediately jumps to multiple possibilities, I think I need to clarify. I think the potential for *sense 1* is off the table here. Let's look at *sense 2*, multiplication can mean an increase that is multiplicative. The syntax would not benefit from that meaning, it requires clarity. Given the context of a math software, I can confidently dismiss the idea of literal "offspring." The second sense is not appropriate either, I require precision in my calculations. Clearly, the intended meaning, and the only sensible interpretation, is *sense 3*: arithmetic operations. Addition, subtraction, multiplication, and division are the foundational building blocks of numerical calculations. Therefore, the parsing needs to assume they're standard arithmetic operators. No ambiguity there.


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

[User]
Target lemma: division
Target surface form: division
Context:
kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and <t>division</t>. ^, **: Power, you can use them both.

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

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

reasoning_content:
**Analyzing the Meaning of "Division" in this Manual**

Okay, the task is to pinpoint the specific meaning of "division" in this context. The word itself is "division," and the surrounding text is part of a software manual explaining basic math operations. The manual lists addition, subtraction, multiplication, and, finally, division. Given the clear context of arithmetic operations, the intended sense *must* be the arithmetic operation of division. There's no room for ambiguity here; it's the fundamental mathematical concept of dividing one number by another. This isn't about organizational divisions or anything abstract; it's strictly sense 11, the practical calculation. Done. Moving on.


[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:
**Understanding "Power" in the Context of Mathematical Notation**

Okay, so we're talking about mathematical functions and symbols, the basic arithmetic ones plus the exponentiation symbols: "^" and "**".  The word "Power" has popped up, and it's clear we need to understand its specific meaning here. We're not talking about physical power or political power, but the mathematical operation. Thinking about it, the sixth candidate, "a mathematical notation indicating the number of times a quantity is multiplied by itself," is spot on. That's the exponent, the index, the thing you raise a base to. The synonyms, "exponent" and "index," immediately confirm this understanding. Yes, candidate 6 is definitely the correct sense of "Power" in this specific 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: 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}.

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

reasoning_content:
**Analyzing the Nuances of "Use" in a Technical Context**

Okay, so the prompt gives us "use" with the specific context of "^, **: Power". My immediate thought is to consider the various senses of "use" and narrow down the best fit. We're dealing with mathematical notation here, so it's all about *employing* these symbols.

Let's break down the definitions: Sense 1 is the obvious front-runner - "put into service; make work or employ for a particular purpose." This hits the nail on the head. We're *using* the symbols to represent exponentiation, to express the concept of power.

Sense 2 (consume regularly, like drugs) is clearly irrelevant. Sense 3 ("use up, consume fully") doesn't quite capture the *intentionality* of applying the symbols. While calculations might consume resources, the *use* of the symbol isn't about that. Sense 4 ("use to one's advantage, exploit") introduces a layer of manipulation that's not present here. We're not trying to take advantage; we are simply representing a mathematical function. Sense 5 ("avail oneself to, practice") is close, but still feels slightly off. We're not practicing, per se, we're *applying* the notation. Sense 6 ("habitual past") is completely inappropriate.

Therefore, after reviewing all the senses of "use", I conclude that **Sense 1: put into service; make work or employ for a particular purpose** is the only correct interpretation in this mathematical context. The meaning is about utilizing "^" and "**" as a notational convention for expressing power.