[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:
The context is about a graph calculator (kalgebra) where users type functions or do "calculations" in an input field. This involves mathematical computation.

Sense 1: "the procedure of calculating; determining something by mathematical or logical methods" - synonyms: computation, computing
Sense 2: "problem solving that involves numbers or quantities" - synonyms: computation, figuring, reckoning
Sense 3: "planning something carefully and intentionally" - synonyms: deliberation

The context is clearly about mathematical calculations in a calculator software. Sense 3 is about planning/deliberation, so it's out.

Between Sense 1 and Sense 2: The context mentions typing functions or doing calculations in a math calculator. Sense 2 specifically mentions "problem solving that involves numbers or quantities" which fits well with a calculator context where you compute mathematical expressions. Sense 1 is more about "the procedure of calculating; determining something by mathematical or logical methods" which is broader.

In this context, "do your calculations" refers to performing mathematical computations - problem solving involving numbers. Sense 2 seems most appropriate as it specifically relates to numerical problem solving, which is what a calculator does.

Actually, let me reconsider. Sense 1 is about "the procedure of calculating; determining something by mathematical or logical methods" - this is the act/process of calculation. Sense 2 is "problem solving that involves numbers or quantities" - this frames it as problem solving.

In the context "do your calculations" - the user is performing mathematical computations. This seems more aligned with Sense 1 (the procedure of calculating) or Sense 2 (problem solving with numbers).

Given that it's a calculator where you type functions and do calculations, Sense 2 "problem solving that involves numbers or quantities" seems to fit well because the calculations involve numbers and quantities in a mathematical context.

I'll go with Sense 2.


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: 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}.

finish_reason: stop

role: assistant

reasoning_content:
The target word is "want" in the context: "If we want to understand how it works..."

Here, "want" means to feel or have a desire for something. "If we want to understand how it works" = "If we desire to understand how it works."

Sense 1: feel or have a desire for; want strongly | synonyms=desire | examples=I want to go home now; I want my own room

This fits perfectly. "I want to go home now" is analogous to "If we want to understand how it works."

Sense 2: have need of - doesn't fit as well, though "need" could work. But the context is about desire/intention to understand, not a strict need.

Sense 3: hunt or look for - doesn't fit.

Sense 4: wish or demand the presence of - doesn't fit.

Sense 5: be without, lack - doesn't fit.

The best sense is 1.

format: unknown

native_finish_reason: stop

provider: Baidu

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: 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}.

reasoning_content:
The target word is "understand" in the context: "If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML..."
Here, "understand how it works" means to comprehend the nature or meaning of how the software works.
Sense 1: know and comprehend the nature or meaning of. Examples: She did not understand her husband; I understand what she means.
Sense 2: perceive (an idea or situation) mentally. Synonyms: realize, see.
Sense 3: make sense of a language.
Sense 4: believe to be the case.
Sense 5: be understanding of.

"understand how it works" -> to comprehend the nature or meaning of how it works. Sense 1 fits best.
Sense 2 "perceive mentally" with synonyms "realize, see" might also be relevant because the text says "the best thing we can do is to realize that...". But the target is "understand how it works", which aligns more closely with "know and comprehend the nature or meaning of" (Sense 1).
Let's check sense 1. "I understand what she means" is similar to "understand how it works".

Let's choose 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: 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:
Looking at the context, "how it works" is asking about the mechanism or functioning of the KAlgebra software—how it operates to convert input into MathML. This is closely parallel to the example "How does your idea work in practice?" from sense 3, which concerns understanding the process or mechanism by which something produces its outcome.

Sense 4 ("perform as expected when applied") is more about whether something functions properly (e.g., "Does this old car still run well?"), whereas the context here is about understanding the mechanism/effect of how the software operates.

{"sense_index": 3}

reasoning_content:
The context is about a software program (KAlgebra) and understanding "how it works" - meaning how it functions or operates. The sentence is "If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML..."

This is about how something functions/operates. Let me look at the candidate senses:

Sense 4: "perform as expected when applied" with synonyms "function, operate, go, run" - examples include "The washing machine won't go unless it's plugged in" and "Does this old car still run well?"

Sense 3: "have an effect or outcome; often the one desired or expected" with synonym "act" - examples include "The voting process doesn't work as well as people thought" and "How does your idea work in practice?"

The phrase "how it works" here is asking about the mechanism/functioning of the software. This is closer to sense 4 (function, operate) or sense 3 (how does your idea work in practice).

Sense 3's example "How does your idea work in practice?" is very similar to "how it works" in this context. The context is about understanding the mechanism by which the software operates - converting input into MathML. This is about functioning/operating.

Sense 4 is "perform as expected when applied" - this is more about whether something works properly (functions as expected).

Sense 3 is "have an effect or outcome; often the one desired or expected" - with the example "How does your idea work in practice?" This seems to be about the process/mechanism of how something operates.

Actually, looking more carefully, "how it works" in this context is asking about the functioning/mechanism of the software. The example in sense 3 "How does your idea work in practice?" is very close to the usage here. The example in sense 4 is more about whether something performs as expected ("Does this old car still run well?").

I think sense 3 is the best fit, as "how it works" is asking about the mechanism/effect/outcome of the software's operation, similar to "How does your idea work in practice?"

Actually, let me reconsider. Sense 4 has synonyms "function, operate, go, run" - and "how it works" is asking how the software functions/operates. The definition is "perform as expected when applied."

Sense 3 has synonym "act" and the definition is "have an effect or outcome; often the one desired or expected." The example "How does your idea work in practice?" is about understanding the mechanism.

Hmm, both could work. But "how it works" in this context is really about understanding the mechanism/functioning of the software - how it operates, what it does. Sense 4 with synonyms "function, operate" seems more directly about the functioning of a device/system. But the example for sense 3 "How does your idea work in practice?" is very close to "how it works" in this context.

I think sense 3 is the better fit because the context is about understanding how the software operates/produces results (converting input to MathML), and the example "How does your idea work in practice?" is very similar.

Actually, looking again at sense 4: "perform as expected when applied" with examples "The washing machine won't go unless it's plugged in; Does this old car still run well?" - these are about whether something functions at all or functions properly.

And sense 3: "have an effect or outcome; often the one desired or expected" with examples "The voting process doesn't work as well as people thought; How does your idea work in practice?" - the second example is about understanding the mechanism.

I'll go with sense 3, as "how it works" in this context is about understanding the mechanism/effect/outcome, and the example "How does your idea work in practice?" is very similar to the usage here.

Wait, let me reconsider once more. The context says "If we want to understand how it works" - this is asking about the functioning mechanism of the software.

Sense 4: "perform as expected when applied" - synonyms: function, operate, go, run
Sense 3: "have an effect or outcome; often the one desired or expected" - synonyms: act

"Understand how it works" = understand how it functions/operates. This seems to be sense 4.

But the example for sense 3 "How does your idea work in practice?" is also about understanding the mechanism.

I think the key distinction is:
- Sense 4 is about whether something performs/functions as expected (does it work or not?)
- Sense 3 is about the effect/outcome/mechanism (how does it work?)

Since the context is "understand how it works" - asking about the mechanism, not whether it works - sense 3 seems more appropriate with its example "How does your idea work in practice?"

I'll go with sense 3.


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

[User]
Target lemma: 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}.

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

Here "best" means the most advisable or most advantageous course of action. "The best thing we can do" = "it would be best to..." meaning wiser or more advantageous and hence advisable.

Sense 2: "(comparative and superlative of `well') wiser or more advantageous and hence advisable" with example "the White House thought it best not to respond". This matches well.

Sense 1: "(superlative of `good') having the most positive qualities" with examples "the best film of the year; the best solution". This could also apply, but sense 2 is more specific to the "advisable" meaning which fits "the best thing we can do".

The phrase "the best thing we can do" implies the most advisable action. This aligns with sense 2's example "the White House thought it best not to respond" - both express what is advisable to do.

So sense 2 is the best choice.


[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}.

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

Here, "thing" refers to an action - "the best thing we can do" means "the best action we can do." The context is about what action to take.

Let me look at the candidates:
- Sense 2: "an action" with example "how could you do such a thing?" - This fits well because "the best thing we can do" refers to an action.
- Sense 10: "a special objective" with example "the thing is to stay in bounds" - This could also fit since it's about a goal/objective.
- Sense 6: "a vaguely specified concern" - Less likely here.

The phrase "the best thing we can do is to realize..." suggests an action. The example for sense 2 "how could you do such a thing?" also involves "do," similar to "the best thing we can do."

Sense 10's example "the thing is to stay in bounds" is also similar in structure - "the thing is to [verb]..." But the definition is "a special objective," which might fit but "thing" here is more about an action than an objective.

Actually, looking more carefully: "the best thing we can do is to realize that..." - this is about an action (realizing). Sense 2 (an action) seems to be the best fit.

But wait, sense 10's example "the thing is to stay in bounds" is structurally very similar to "the best thing we can do is to realize..." Both involve "the thing is to [do something]." The definition "a special objective" could also work - the best objective is to realize...

Hmm, but "the best thing we can do" emphasizes the action (doing), not the objective. I think sense 2 (an action) is the best fit here.

Let me reconsider. "The best thing we can do is to realize..." - this is referring to an action that is recommended. The structure "the best thing to do" is a common idiom meaning "the best action to take."

I'll go with sense 2.


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

[User]
Target lemma: 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}.

reasoning_content:
The target word is "do" in the sentence: "the best thing we can do is to realize that our input is being converted into MathML"

Here, "do" means to perform or carry out an action. The phrase "the best thing we can do" refers to engaging in or performing a particular action (realizing something).

Let me look at the candidates:

1. engage in - make love, not war; make an effort
2. carry out or perform an action - John did the painting...
3. get (something) done - I did my job
4. proceed or get along
5. give rise to; cause
6. carry out or practice; as of jobs and professions
7. be sufficient
8. create or design
9. behave in a certain manner
10. spend time in prison
11. carry on or function
12. arrange attractively
13. travel or traverse

The phrase "the best thing we can do" - this is about performing an action or engaging in an activity. "Do" here means to carry out or perform an action.

Sense 2: "carry out or perform an action" with synonyms "perform, execute" - This seems like a good fit. "The best thing we can do is to realize..." means the best action we can perform/carry out is to realize.

Sense 1: "engage in" with synonym "make" - "make an effort" example. This could also work - "the best thing we can engage in" - but it's less natural.

Sense 3: "get (something) done" - "I did my job" - This is about completing tasks. "The best thing we can get done" doesn't quite fit the sentence structure.

I think sense 2 is the best fit. "Do" here means to carry out or perform an action - "the best thing we can [perform/carry out] is to realize..."

Actually, let me reconsider. "The best thing we can do" is a very common English construction. It's about taking action, performing an action. Sense 2 "carry out or perform an action" fits well.

But wait, sense 1 "engage in" with examples "make an effort" - "the best thing we can engage in" could also work, but it's less natural than "carry out or perform."

I'll go with sense 2.


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

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

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

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

reasoning_content: The context says: "the best thing we can do is to realize that our input is being converted into MathML." Here "realize" means to become fully aware or cognizant of something. This matches sense 1: "be fully aware or cognizant of" with synonyms recognize, recognise, realise, agnize, agnise.


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

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

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

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

raw_output:
Looking at the context, "our input is being converted into MathML" describes changing from one system/format (the user's input syntax) to another system (MathML). This is a system-level conversion — switching from one representation standard to another — rather than changing the fundamental nature, purpose, or function of the input (the mathematical content remains the same, only the format changes).

Sense 1 ("change from one system to another") with its example "We converted from 220 to 110 Volt" and synonym "change over" captures this notion of switching between systems or standards, which aligns with converting input from one format to another in a computing context.

{"sense_index": 1}

reasoning_content:
The context is about input being "converted" into MathML. This is about changing from one format/system to another - the user's input is being transformed into MathML format.

Looking at the senses:

1. "change from one system to another or to a new plan or policy" - examples: "We converted from 220 to 110 Volt" - This is about changing systems.
2. "change the nature, purpose, or function of something" - examples: "convert lead into gold; convert hotels into jails"
3. "change religious beliefs" - not relevant
4. "exchange or replace with another" - not quite fitting
5. "cause to adopt a new or different faith" - not relevant
6-9. Sports-related senses - not relevant
10. "exchange a penalty" - not relevant
11. "change in nature, purpose, or function; undergo a chemical change" - not relevant

Between senses 1 and 2:

Sense 1: "change from one system to another or to a new plan or policy" - example "We converted from 220 to 110 Volt" - This seems to be about changing from one system to another, like converting voltage systems.

Sense 2: "change the nature, purpose, or function of something" - examples: "convert lead into gold; convert hotels into jails" - This is about transforming something into something else.

In the context, the input is being "converted" into MathML. This is about transforming one representation into another format. The input (some syntax) is being changed into MathML.

Sense 2 seems more appropriate because it's about changing something into something else (converting input into MathML), similar to "convert lead into gold" or "convert hotels into jails." The examples show transformation of one thing into another.

However, sense 1 "change from one system to another" could also apply since we're changing from one system (the user's syntax) to another system (MathML).

Let me think more carefully. Sense 1's example is "We converted from 220 to 110 Volt" - this is about changing from one standard/system to another. The definition says "change from one system to another or to a new plan or policy."

In the context, the input is being converted into MathML. This is about transforming data from one format to another, which could be seen as changing from one system to another.

Sense 2's examples "convert lead into gold; convert hotels into jails" are about changing the nature or substance of something. The definition is "change the nature, purpose, or function of something."

The context is about transforming input into MathML format - this is more of a system/format change than changing the nature or function of something. Sense 1 seems to fit better here because it's about changing from one system (the user's input format) to another system (MathML).

Actually, let me reconsider. The input is being converted into MathML - the input is being transformed into a different representation. "Convert lead into gold" is about transforming one substance into another. "Convert hotels into jails" is about changing the purpose/function of a building. "Convert input into MathML" is about transforming data from one format to another.

I think sense 2 is more appropriate here because the examples show conversion of one thing into another thing (lead into gold, hotels into jails), which parallels "input into MathML." Sense 1's example (converting from 220 to 110 Volt) is more about switching between systems or standards, not transforming one thing into another.

Wait, but sense 1 says "change from one system to another." Converting input to MathML could be seen as changing from one system (the user's syntax) to another (MathML). And the example "We converted from 220 to 110 Volt" is about changing from one voltage system to another.

I think the key distinction is:
- Sense 1: changing from one system to another (like switching standards)
- Sense 2: changing the nature/purpose/function of something (like transforming lead to gold)

In the context, the input is being transformed from one format to another. This seems more like sense 2's "convert lead into gold" pattern (transforming one thing into another) than sense 1's "converted from 220 to 110 Volt" (switching between systems).

Actually, I'm now leaning towards sense 1. The context says "our input is being converted into MathML." This is about changing from one system (the user's input format) to another system (MathML). The definition of sense 1 is "change from one system to another or to a new plan or policy," which fits this scenario of changing from one format/system to another.

But looking at the examples again:
- Sense 1: "We converted from 220 to 110 Volt" - This is about switching between two existing systems/standards.
- Sense 2: "convert lead into gold; convert hotels into jails" - These are about transforming one thing into another.

"Our input is being converted into MathML" is more like "convert lead into gold" (transforming input into MathML) than "We converted from 220 to 110 Volt" (switching between systems).

I'll go with sense 2.

Hmm, but actually, re-reading the definitions:

Sense 1: "change from one system to another or to a new plan or policy"
Sense 2: "change the nature, purpose, or function of something"

When we convert input into MathML, we're not really changing the nature, purpose, or function of the input - the input still represents the same mathematical content, just in a different format. We're changing from one system (the user's syntax) to another (MathML).

On the other hand, "convert lead into gold" does change the nature of the substance. "Convert hotels into jails" changes the purpose/function of the building.

I think sense 1 might actually be more appropriate because converting input to MathML is about changing from one system/format to another, not about changing the nature or purpose of the input.

Let me reconsider once more. The sentence says "our input is being converted into MathML." The key pattern is "X is converted into Y," which matches sense 2's examples "convert lead into gold" and "convert hotels into jails." Sense 1's example uses "converted from X to Y," which is a slightly different pattern.

But the pattern alone shouldn't determine the sense. The meaning should be the primary factor.

Converting input into MathML:
- Is it changing from one system to another? Yes, it's changing from the user's input system to MathML.
- Is it changing the nature, purpose, or function of something? Not really - the input still represents the same mathematical content, just in a different format.

I think sense 1 is the better fit because the conversion is about changing from one system/format to another, not about changing the fundamental nature or purpose of the input.

Actually, I just realized I should also consider that in computing, "convert" often means to transform data from one format to another. This is a very common usage. Looking at the senses again:

Sense 1: "change from one system to another or to a new plan or policy" - example: "We converted from 220 to 110 Volt"
Sense 2: "change the nature, purpose, or function of something" - examples: "convert lead into gold; convert hotels into jails"

In computing, converting data from one format to another (like converting input to MathML) is about changing from one system/format to another. This aligns with sense 1.

However, looking at the examples more carefully:
- "convert lead into gold" is about transforming one substance into another
- "convert hotels into jails" is about changing the purpose/function of a building
- "convert input into MathML" is about transforming data from one format to another

The pattern "convert X into Y" in sense 2's examples is similar to the context's "converted into MathML." But the meaning is different - in the context, we're not changing the nature/purpose/function, we're changing the format/system.

I think I need to make a decision. I'll go with sense 1 because:
1. The definition "change from one system to another" fits the context of converting from one format (user input) to another (MathML).
2. Converting between formats/systems is a common computing usage.
3. Sense 2's definition about changing "nature, purpose, or function" doesn't quite fit - the input still represents the same mathematical content, just in a different format.

Wait, but I want to reconsider one more time. Looking at the examples for sense 2: "convert lead into gold" - this is about transforming one thing into another thing. The input is being transformed into MathML. This is a transformation, which aligns with sense 2's pattern.

And sense 1's example "We converted from 220 to 110 Volt" is about switching between two voltage systems, which is a different kind of conversion.

OK, I think I'm overthinking this. Let me just make a decision based on the overall meaning.

The context is about converting user input into MathML format. This is a data transformation from one format to another.

Sense 1: "change from one system to another or to a new plan or policy"
- This fits because we're changing from one system (user's input format) to another (MathML).

Sense 2: "change the nature, purpose, or function of something"
- This doesn't fit as well because we're not changing the nature, purpose, or function of the input - we're just changing its format.

I'll go with sense 1.

Actually, wait. Let me reconsider one more time.

Looking at sense 2's examples:
- "convert lead into gold" - transforming lead (one substance) into gold (another substance)
- "convert hotels into jails" - changing hotels (one purpose) into jails (another purpose)

These examples show transformation of one thing into another. The context "our input is being converted into MathML" also shows transformation of one thing (input) into another (MathML).

But the definition of sense 2 is "change the nature, purpose, or function of something." Converting input into MathML doesn't change the nature, purpose, or function of the input - it just changes its format.

On the other hand, sense 1's definition is "change from one system to another or to a new plan or policy." Converting input into MathML is changing from one system (input format) to another (MathML). This seems to fit better.

But sense 1's example "We converted from 220 to 110 Volt" is about switching between two voltage systems, not about transforming one thing into another.

I think the key question is: does "convert X into Y" match sense 1 or sense 2?

Looking at the examples:
- Sense 1: "We converted from 220 to 110 Volt" - pattern: "convert from X to Y"
- Sense 2: "convert lead into gold; convert hotels into jails" - pattern: "convert X into Y"

The context uses "converted into MathML" - pattern: "convert X into Y"

Based on the pattern, sense 2 seems to match better. But based on the definition, sense 1 seems to fit better.

I think I should prioritize the definition over the pattern. The definition of sense 1 ("change from one system to another") fits the context of converting from one format to another. The definition of sense 2 ("change the nature, purpose, or function of something") doesn't fit as well.

Final decision: sense 1.

Hmm, but actually, I want to reconsider one more time. Let me think about what "change from one system to another" means in sense 1.

"We converted from 220 to 110 Volt" - This is about changing the electrical system from 220V to 110V. It's about switching between two systems.

"Our input is being converted into MathML" - This is about transforming the input into MathML format. Is this "changing from one system to another"?

If we consider the user's input syntax as one system and MathML as another system, then yes, converting input into MathML is changing from one system to another.

But there's also a sense in which "convert X into Y" is about transforming X into Y, which is more like sense 2's examples.

OK, I think I need to just make a final decision. Let me go with sense 2 because:
1. The pattern "convert X into Y" matches sense 2's examples better.
2. Converting input into MathML is a transformation, which aligns with sense 2's examples of transformation.
3. While the definition of sense 2 mentions "nature, purpose, or function," the examples show broader transformation (lead into gold is changing the nature/substance, hotels into jails is changing the purpose).

Actually, no. I think I should go with sense 1 because:
1. The definition "change from one system to another" fits the context of converting from one format to another.
2. In computing, "convert" often means to change from one format/system to another.
3. The examples in sense 2 are about changing the fundamental nature or purpose of something, which doesn't match converting input to MathML (the content remains the same, just the format changes).

Final decision: sense 1.

Ugh, I keep going back and forth. Let me try to be more systematic.

The context: "our input is being converted into MathML"

What is happening?
- The user's input (in some syntax) is being transformed into MathML format.
- The content/meaning of the input remains the same, but the representation changes.
- This is a format/system conversion.

Sense 1: "change from one system to another or to a new plan or policy"
- Does converting input to MathML involve changing from one system to another? Yes, if we consider the input syntax as one system and MathML as another.
- Example: "We converted from 220 to 110 Volt" - This is about switching between two systems.

Sense 2: "change the nature, purpose, or function of something"
- Does converting input to MathML involve changing the nature, purpose, or function of the input? Not really - the input still represents the same mathematical content.
- Examples: "convert lead into gold" (changing the nature of a substance), "convert hotels into jails" (changing the purpose of a building)

Based on this analysis, sense 1 seems to fit better because the conversion is about changing from one system/format to another, not about changing the nature, purpose, or function of the input.

Final decision: sense 1.

Wait, I just want to double-check by considering the synonyms. Sense 1 has the synonym "change over," which suggests switching from one system to another. This aligns with the idea of converting from one format to another.

OK, I'm confident now. My final answer is sense 1.

Actually, hold on. Let me reconsider once more.

I've been assuming that converting input to MathML is about changing from one system to another. But is it really?

When we say "our input is being converted into MathML," we're saying that the input is being transformed into MathML format. The input (some syntax) is being changed into MathML (a markup language).

Is this "changing from one system to another"? Or is it "changing the nature of something"?

I think it could be seen as either:
1. Changing from one system (input syntax) to another (MathML) - sense 1
2. Changing the nature/form of the input (from one representation to another) - sense 2

But sense 2's definition says "change the nature, purpose, or function of something." Converting input to MathML doesn't change the nature, purpose, or function of the input - it just changes the format.

On the other hand, sense 1's definition says "change from one system to another." Converting input to MathML is changing from one system (input syntax) to another (MathML).

I think sense 1 is the better fit.

But wait, let me also consider the examples more carefully:

Sense 1: "We converted from 220 to 110 Volt"
- This is about changing the electrical system from 220V to 110V.
- The pattern is "convert from X to Y."

Sense 2: "convert lead into gold; convert hotels into jails"
- These are about transforming one thing into another.
- The pattern is "convert X into Y."

The context: "our input is being converted into MathML"
- The pattern is "convert X into Y" (convert input into MathML).

Based on the pattern, sense 2 matches better. But based on the definition, sense 1 fits better.

I think I should prioritize the definition over the pattern. The definition of sense 1 ("change from one system to another") fits the context of converting from one format to another.

Final answer: sense 1.

Hmm, but I realize I might be wrong. Let me think about this differently.

In computing, "convert" typically means to change data from one format to another. For example:
- "convert a Word document to PDF"
- "convert an image from JPEG to PNG"
- "convert input into MathML"

This is a very common usage. Looking at the senses:

Sense 1: "change from one system to another or to a new plan or policy"
- Example: "We converted from 220 to 110 Volt"
- This is about changing from one system/standard to another.

Sense 2: "change the nature, purpose, or function of something"
- Examples: "convert lead into gold; convert hotels into jails"
- These are about transforming one thing into another.

In computing, converting data from one format to another is more like transforming one thing into another (sense 2) than switching between systems (sense 1).

For example, "convert a Word document to PDF" is about transforming the document from one format to another, similar to "convert lead into gold" (transforming lead into gold).

Similarly, "convert input into MathML" is about transforming the input from one format to another, similar to "convert lead into gold."

OK, I'm now leaning towards sense 2 again.

But the definition of sense 2 is "change the nature, purpose, or function of something." Converting input to MathML doesn't change the nature, purpose, or function of the input - it just changes the format.

Hmm, but "convert lead into gold" changes the nature of lead (it becomes gold). "Convert hotels into jails" changes the purpose of hotels (they become jails). "Convert input into MathML" changes the... format of the input (it becomes MathML).

Is "format" part of "nature"? I think it could be argued that the format is part of the nature of the data. When we convert input to MathML, we're changing the nature of the input (from one format to another).

OK, I think I'm overanalyzing this. Let me just make a final decision.

The context is about converting user input into MathML format. This is a data transformation from one format to another.

Sense 1: "change from one system to another or to a new plan or policy"
- Example: "We converted from 220 to 110 Volt"
- This fits if we consider the input syntax as one system and MathML as another.

Sense 2: "change the nature, purpose, or function of something"
- Examples: "convert lead into gold; convert hotels into jails"
- This fits if we consider the conversion as changing the nature/form of the input.

I think both senses could apply, but I'll go with sense 2 because:
1. The pattern "convert X into Y" matches the context better.
2. The examples in sense 2 show transformation of one thing into another, which parallels converting input into MathML.
3. In computing, "convert" typically means to transform data from one format to another, which is more like transformation than switching systems.

Final answer: sense 2.

Actually, no. I keep going back and forth, so let me try to settle this once and for all.

The key distinction between sense 1 and sense 2:

Sense 1: "change from one system to another or to a new plan or policy"
- This is about switching between systems or adopting a new plan/policy.
- Example: "We converted from 220 to 110 Volt" - switching from one voltage system to another.
- Synonym: "change over" - this suggests switching/transitioning.

Sense 2: "change the nature, purpose, or function of something"
- This is about transforming something into something else.
- Examples: "convert lead into gold" (transforming lead into gold), "convert hotels into jails" (transforming hotels into jails).

The context: "our input is being converted into MathML"
- This is about transforming the input into MathML format.

I think sense 2 is the better fit because the context is about transformation (converting input into MathML), not about switching between systems. The examples in sense 2 show transformation, which parallels the context.

But the definition of sense 2 says "change the nature, purpose, or function of something." Converting input to MathML doesn't change the nature, purpose, or function of the input - it just changes the format.

Hmm, but "convert lead into gold" changes the nature of lead (it becomes gold). Is changing the format of input similar to changing the nature of lead?

I think there's a difference:
- "Convert lead into gold" changes the fundamental nature of the substance (lead becomes gold).
- "Convert input into MathML" changes the format/representation of the data (input becomes MathML), but the content/meaning remains the same.

So, is converting input to MathML "changing the nature" of the input? I'm not sure.

OK, let me try a different approach. Let me think about what sense a human annotator would choose.

If I were annotating this sentence, I would consider:
1. The context is about converting data from one format to another.
2. This is a common computing usage of "convert."
3. The pattern "convert X into Y" matches sense 2's examples.
4. The definition of sense 1 ("change from one system to another") could also apply.

I think I would choose sense 2 because the pattern and examples match better, and the definition can be interpreted broadly to include changing the format/nature of data.

But I could also choose sense 1 because the definition fits the idea of changing from one system (format) to another.

OK, I need to make a final decision. Let me go with sense 2 because:
1. The pattern "convert X into Y" matches sense 2's examples.
2. The examples show transformation, which parallels the context.
3. The definition can be interpreted to include changing the format/nature of data.

Final answer: sense 2.

Hmm wait. Actually, I want to reconsider one more time.

Let me look at the examples more carefully:

Sense 1: "We converted from 220 to 110 Volt"
- This is about changing from one electrical system to another.
- The subject ("We") is the one doing the converting.
- The pattern is "convert from X to Y."

Sense 2: "convert lead into gold; convert hotels into jails"
- These are about transforming one thing into another.
- The object (lead, hotels) is being converted.
- The pattern is "convert X into Y."

The context: "our input is being converted into MathML"
- The input is being converted into MathML.
- The subject of "converted" is "our input."
- The pattern is "X is converted into Y" (input is converted into MathML).

Based on the pattern, sense 2 matches better because both use "convert X into Y."

But based on the definition:
- Sense 1: "change from one system to another" - fits if we consider input syntax as one system and MathML as another.
- Sense 2: "change the nature, purpose, or function of something" - doesn't fit as well because the content/meaning of the input remains the same.

I think I should prioritize the definition over the pattern. Based on the definition, sense 1 seems to fit better.

But wait, the definition of sense 2 is "change the nature, purpose, or function of something." If we interpret "nature" broadly to include the format/representation of data, then sense 2 could also fit.

OK, I need to make a final decision. Let me consider:

1. The context is about converting data from one format to another.
2. This is a transformation, not just a system switch.
3. The pattern "convert X into Y" matches sense 2's examples.
4. The definition of sense 2 can be interpreted to include changing the format/nature of data.

I'll go with sense 2.

No wait, I think I should go with sense 1. Here's my reasoning:

1. The definition of sense 1 ("change from one system to another") fits the context of converting from one format/system to another.
2. In computing, "convert" often means to change from one format/system to another.
3. The synonym "change over" suggests switching/transitioning from one system to another.
4. The definition of sense 2 ("change the nature, purpose, or function of something") doesn't fit as well because the content/meaning of the input remains the same - only the format changes.

Final answer: sense 1.

Ugh, I keep going back and forth. Let me try to settle this by considering the most natural interpretation.

When I read "our input is being converted into MathML," I understand that the input is being transformed from one format into MathML format. This is a data transformation.

Now, which sense best captures this?

Sense 1: "change from one system to another or to a new plan or policy"
- This is about switching between systems or adopting a new plan/policy.
- Example: "We converted from 220 to 110 Volt" - switching from one voltage system to another.

Sense 2: "change the nature, purpose, or function of something"
- This is about transforming something into something else.
- Examples: "convert lead into gold" (transforming lead into gold), "convert hotels into jails" (transforming hotels into jails).

I think sense 2 is the better fit because:
1. The context is about transformation (converting input into MathML).
2. The examples in sense 2 show transformation, which parallels the context.
3. The pattern "convert X into Y" matches sense 2's examples.

But the definition of sense 2 says "change the nature, purpose, or function of something." Does converting input to MathML change the nature, purpose, or function of the input?

I think it changes the "nature" of the input in the sense that the input goes from being in one format to being in MathML format. The representation changes, which is a change in the nature of the data (from a user-friendly syntax to a machine-readable markup language).

OK, I'll go with sense 2.

No, actually, I think I should go with sense 1. Here's my final reasoning:

1. The definition of sense 1 ("change from one system to another") fits the context of converting from one format/system to another.
2. The example "We converted from 220 to 110 Volt" shows switching between two systems, which is similar to converting from one format to another.
3. The synonym "change over" suggests switching/transitioning from one system to another.
4. The definition of sense 2 ("change the nature, purpose, or function of something") doesn't fit as well because:
   - "convert lead into gold" changes the fundamental nature of the substance (lead becomes gold).
   - "convert hotels into jails" changes the purpose of the building (hotel becomes jail).
   - "convert input into MathML" doesn't change the fundamental nature or purpose of the input - it just changes the format/representation.

Final answer: sense 1.

OK wait, I want to think about this one more time.

The key question is: does "convert input into MathML" mean:
(a) changing from one system to another (sense 1), or
(b) changing the nature, purpose, or function of something (sense 2)?

Let me think about what "system" means in sense 1. The example "We converted from 220 to 110 Volt" suggests that "system" refers to a technical system or standard (like voltage systems). In the context, the input syntax and MathML could be considered as two different systems/formats for representing mathematical content.

Now, let me think about what "nature, purpose, or function" means in sense 2. The examples suggest:
- "convert lead into gold" - changing the nature (chemical composition) of a substance.
- "convert hotels into jails" - changing the purpose/function of a building.

In the context, converting input to MathML doesn't change the nature (chemical composition), purpose, or function of the input. It just changes the format/representation.

Based on this analysis, sense 1 seems to fit better because converting input to MathML is about changing from one system/format to another, not about changing the nature, purpose, or function of the input.

Final answer: sense 1.

But I'm still not 100% sure. Let me consider one more thing.

The pattern "convert X into Y" is used in sense 2's examples:
- "convert lead into gold"
- "convert hotels into jails"

And the context uses the same pattern:
- "converted into MathML"

This suggests that sense 2 might be the intended sense.

But the definition of sense 2 ("change the nature, purpose, or function of something") doesn't fit the context as well as sense 1's definition ("change from one system to another").

I think I should prioritize the definition over the pattern. Based on the definition, sense 1 fits better.

Final answer: sense 1.

OK, I'm going with sense 1. Let me summarize my reasoning:

1. The context is about converting user input into MathML format, which is a change from one system/format to another.
2. Sense 1's definition ("change from one system to another or to a new plan or policy") fits this context.
3. Sense 2's definition ("change the nature, purpose, or function of something") doesn't fit as well because the content/meaning of the input remains the same - only the format changes.
4. The synonym "change over" in sense 1 suggests switching/transitioning from one system to another.
5. While the pattern "convert X into Y" matches sense 2's examples, the definition should take priority over the pattern.

Final answer: sense 1.

Hmm, actually, I just realized something. Let me reconsider.

Looking at the context again: "our input is being converted into MathML"

This is about transforming the input into MathML. The input goes from being in one format (user's syntax) to being in MathML format.

Now, let me think about which sense better captures this transformation:

Sense 1: "change from one system to another or to a new plan or policy"
- Example: "We converted from 220 to 110 Volt"
- This is about switching from one system to another.

Sense 2: "change the nature, purpose, or function of something"
- Examples: "convert lead into gold; convert hotels into jails"
- These are about transforming one thing into another.

I think the context is more about transformation than switching systems. The input is being transformed into MathML, not just switching from one system to another.

But the definition of sense 2 says "change the nature, purpose, or function of something." Does converting input to MathML change the nature, purpose, or function of the input?

I think it changes the "nature" of the input in the sense that the input goes from being in one format to being in MathML format. The representation changes, which is a change in the nature of the data.

OK, I'll go with sense 2.

No, I don't think "nature" in sense 2's definition refers to the format/representation of data. "Nature" in this context seems to refer to the fundamental character or essence of something, like in "convert lead into gold" where the chemical nature of the substance changes.

Converting input to MathML doesn't change the fundamental nature of the input - it just changes the format/representation. The content/meaning remains the same.

I'll go with sense 1.

OK, final answer: sense 1.

Actually, I want to reconsider one last time.

I've been assuming that "change the nature, purpose, or function of something" in sense 2 refers to fundamental changes like changing the chemical composition of a substance or the purpose of a building. But maybe "nature" can be interpreted more broadly to include the format/representation of data.

If we interpret "nature" broadly, then converting input to MathML could be seen as changing the nature of the input (from one format to another).

But I think the examples in sense 2 ("convert lead into gold; convert hotels into jails") suggest that "nature" refers to fundamental changes, not just format changes.

OK, I'll stick with sense 1.

Final answer: sense 1.

Let me just double-check by considering the overall context once more:

"our input is being converted into MathML"

This is about converting data from one format to another. The user's input (in some syntax) is being transformed into MathML (a markup language).

Sense 1: "change from one system to another or to a new plan or policy"
- This fits if we consider the input syntax as one system and MathML as another.
- Example: "We converted from 220 to 110 Volt" - switching from one voltage system to another.

Sense 2: "change the nature, purpose, or function of something"
- This doesn't fit as well because the content/meaning of the input remains the same - only the format changes.
- Examples: "convert lead into gold" (changing the chemical nature of a substance), "convert hotels into jails" (changing the purpose of a building).

I'm confident that sense 1 is the better fit. Final answer: sense 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: necessary
Target surface form: necessary
Context:
Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not <t>necessary</t> to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

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

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

reasoning_content:
The target word is "necessary" in the context: "it is not necessary to know MathML."

Sense 1: absolutely essential
Sense 2: unavoidably determined by prior circumstances (examples: the necessary consequences of one's actions)

In context, "it is not necessary to know MathML" means it is not essential/required to know MathML. This matches sense 1 (absolutely essential).

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

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

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

reasoning_content:
The context is: "If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML."

Here, "know MathML" means to be cognizant or aware of MathML as a specific piece of information/knowledge. It's about possessing knowledge about MathML (the markup language).

Sense 1: "be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about" - This fits well. The user doesn't need to possess knowledge about MathML.

Sense 7: "have fixed in the mind" - examples are "I know Latin; This student knows her irregular verbs" - This could also fit, as MathML is a language/notation that one might "know" in the sense of having memorized or mastered it.

Sense 4: "be familiar or acquainted with a person or an object" - This is about familiarity with something, but MathML is more of a knowledge/skill thing.

Between sense 1 and sense 7: Sense 1 is about possessing knowledge or information about something. Sense 7 is about having something fixed in the mind (like knowing a language). "Know MathML" is closer to knowing a language or notation - having it fixed in the mind. But it could also be sense 1 - being aware of/possessing knowledge about MathML.

Actually, looking more carefully, "it is not necessary to know MathML" means you don't need to have knowledge of MathML, you don't need to understand MathML. This is about possessing knowledge about a specific piece of information. Sense 1 seems most appropriate.

Sense 7 examples are "I know Latin" and "This student knows her irregular verbs" - this is about having memorized something. While "know MathML" could be similar to "know Latin," the context here is more about possessing general knowledge about MathML rather than having it memorized.

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

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

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

reasoning_content:
The context is about designing the syntax of a software program (Kalgebra). The speaker says "I have based the syntax basically on common sense." This means they used common sense as a foundation/basis for the syntax.

Sense 1: "use as a basis for; found on" - examples: "base a claim on some observation" - This fits perfectly: "I have based the syntax on common sense" = I used common sense as a basis for the syntax.

Sense 2: "situate as a center of operations" - doesn't fit
Sense 3: "use (purified cocaine)" - doesn't fit

The answer is sense 1.


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

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

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

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

reasoning_content: The context says "it should not be hard for anyone" referring to the syntax of a software tool, meaning it should not be difficult to understand or use. This aligns with sense 1: "not easy; requiring great physical or mental effort to accomplish or comprehend or endure."


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

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

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

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

reasoning_content:
The target word is "closely" in the context: "I ve looked closely to maxima and maple s syntax so they look very similar."

The sentence means the author examined the syntax of maxima and maple carefully/attentively.

Let's look at the candidate senses:

1. "in a close relation or position in time or space" - examples: "the onsets were closely timed; houses set closely together" - This is about physical/temporal proximity.
2. "in an attentive manner" - synonyms: close, tight - examples: "he remained close on his guard" - This is about attentiveness.
3. "in a close manner" - synonyms: intimately, nearly - examples: "the two phenomena are intimately connected; the person most nearly concerned" - This is about close connection/relation.

The context "I've looked closely to maxima and maple's syntax" means the author examined/studied them attentively. This fits sense 2 "in an attentive manner."

Wait, but "looked closely" could also mean examining in detail/attentively. Sense 2 seems best with "in an attentive manner" and synonyms "close, tight."

Actually, let me reconsider. The phrase "looked closely" typically means examined carefully/attentively. Sense 2 "in an attentive manner" with the example "he remained close on his guard" seems to fit this usage.

So the answer is sense 2.


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

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

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

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

reasoning_content: The context says: "I've looked closely to maxima and maple's syntax so they look very similar." Here, "look" means "appear" or "seem" — they appear very similar. This matches sense 2: "give a certain impression or have a certain outward aspect" with synonyms "appear, seem."


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

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

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

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

reasoning_content:
The target word is "very" in the context: "they look very similar."

Sense 1: used as intensifiers (e.g., "very gifted", "very well")
Sense 2: precisely so (e.g., "the very next page", "the very opposite")

In "they look very similar," "very" is used as an intensifier modifying "similar." This matches sense 1.