[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: window
Target surface form: window
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. 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 <t>window</t> kalgebra main window

Candidate senses:
1. sense_key=window%1:06:00:: | definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. sense_key=window%1:06:01:: | definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. sense_key=window%1:06:02:: | definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. sense_key=window%1:17:00:: | definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. sense_key=window%1:28:00:: | definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. sense_key=window%1:06:04:: | definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. sense_key=window%1:06:05:: | definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. sense_key=window%1:06:03:: | definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

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: We have a user asking for WSD. Need output JSON {"sense_index": N}. Target lemma window, context software screenshot of kalgebra main window. Candidate senses listed with keys and definitions, indexed 1-8. The best is computer science sense: rectangular part of a computer screen that contains a display different from rest. That's sense_key window%1:06:03:: listed as index 8. Need return {"sense_index": 8} only.


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: main
Target surface form: main
Context:
Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. 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 <t>main</t> window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab.

Candidate senses:
1. sense_key=main%5:00:00:important:00 | definition=most important element | synonyms=chief, primary, principal, master | examples=the chief aim of living; the main doors were of solid glass
2. sense_key=main%3:00:02:: | definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent | examples=the main (or independent) clause in a complex sentence has at least a subject and a verb
3. sense_key=main%5:00:00:intense:00 | definition=of force; of the greatest possible intensity | examples=by main strength

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: We need perform WSD for target lemma main, surface main. Context: "Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab..." It describes application window, "main window" likely means primary or most important/chief window. Candidate senses: 1 important/chief; 2 grammar independent; 3 force intensity. Sense 1 best. Need return JSON exactly {"sense_index": 1}. Ensure only JSON.

format: unknown

native_finish_reason: stop

provider: DeepInfra

currency: USD


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

[User]
Target lemma: window
Target surface form: window
Context:
Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. 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 <t>window</t> kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab.

Candidate senses:
1. sense_key=window%1:06:00:: | definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. sense_key=window%1:06:01:: | definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. sense_key=window%1:06:02:: | definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. sense_key=window%1:17:00:: | definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. sense_key=window%1:28:00:: | definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. sense_key=window%1:06:04:: | definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. sense_key=window%1:06:05:: | definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. sense_key=window%1:06:03:: | definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

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: We need answer JSON {"sense_index": ...}. Context: screenshot of kalgebra main window, GUI window, computer science sense. Candidate 8 sense_key=window%1:06:03:: definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen. That's best. Need ensure index 8. Return only JSON.


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

[User]
Target lemma: main
Target surface form: main
Context:
It is actually not necessary to know MathML to use kalgebra. 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 <t>main</t> 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.

Candidate senses:
1. sense_key=main%5:00:00:important:00 | definition=most important element | synonyms=chief, primary, principal, master | examples=the chief aim of living; the main doors were of solid glass
2. sense_key=main%3:00:02:: | definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent | examples=the main (or independent) clause in a complex sentence has at least a subject and a verb
3. sense_key=main%5:00:00:intense:00 | definition=of force; of the greatest possible intensity | examples=by main strength

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: We need perform WSD for word 'main' in context: "...kalgebra main window ... main window consists in a Console tab...". Candidate senses: 1 important element synonyms chief primary principal master. 2 grammar independent clause. 3 force intensity by main strength. The context describes main window of application, meaning primary/chief window. So sense 1. Need return JSON only: {"sense_index": 1}. Ensure no extra text. Also instructions: do not answer with WordNet sense key. Only JSON object exactly like. Need think if any subtlety. The phrase "main window" means most important element, principal window. Sense 1. Good.

provider: Novita


[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: window
Target surface form: window
Context:
It is actually not necessary to know MathML to use kalgebra. 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 <t>window</t> 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.

Candidate senses:
1. sense_key=window%1:06:00:: | definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. sense_key=window%1:06:01:: | definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. sense_key=window%1:06:02:: | definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. sense_key=window%1:17:00:: | definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. sense_key=window%1:28:00:: | definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. sense_key=window%1:06:04:: | definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. sense_key=window%1:06:05:: | definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. sense_key=window%1:06:03:: | definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

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:
We need choose best sense for 'window' in context. Context: software kalgebra main window. Computer science sense rectangular part of a computer screen that contains a display different from rest. That's sense 8: window%1:06:03::. Need output JSON {sense_index: 8}.
Need ensure no extra content.


[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: consist
Target surface form: consists
Context:
It is actually not necessary to know MathML to use kalgebra. 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 <t>consists</t> 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.

Candidate senses:
1. sense_key=consist%2:42:00:: | definition=originate (in) | synonyms=dwell, lie, lie in | examples=The problems dwell in the social injustices in this country
2. sense_key=consist%2:42:04:: | definition=have its essential character; be comprised or contained in; be embodied in | examples=The payment consists in food; What does love consist in?
3. sense_key=consist%2:42:02:: | definition=be consistent in form, tenor, or character; be congruous | examples=Desires are to be satisfied only so far as consists with an approved end
4. sense_key=consist%2:42:01:: | definition=be composed of | synonyms=comprise | examples=The land he conquered comprised several provinces; What does this dish consist of?

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the lemma "consist" with target form "consists" in the given context.

The sentence is: "Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window <t>consists</t> in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab."

So it's saying the main window "consists in" several tabs. Let me analyze the senses:

1. "originate (in)" - synonyms: dwell, lie, lie in. Examples: "The problems dwell in the social injustices in this country"
2. "have its essential character; be comprised or contained in; be embodied in". Examples: "The payment consists in food; What does love consist in?"
3. "be consistent in form, tenor, or character; be congruous". Examples: "Desires are to be satisfied only so far as consists with an approved end"
4. "be composed of". Synonyms: comprise. Examples: "The land he conquered comprised several provinces; What does this dish consist of?"

Hmm, interesting. The sentence uses "consists in" (not "consists of"), but semantically it's about the window being made up of/composed of different tabs.

"Consist in" generally means "have as an essential feature" (sense 2), while "consist of" means "be composed of" (sense 4).

But here it's saying the window consists in tabs. Using "consist in" to mean "is composed of" might be nonstandard English, but let's look at the intended meaning. The main window has these tabs as its components.

Wait - actually the preposition used is "in". Sense 4 examples use "consist of". Sense 2 examples use "consist in".

But the meaning seems closer to "be composed of" (sense 4), since it's listing the parts of the window.

However, the surface form is "consists in" - this collocates with sense 2. But sense 2's meaning is about essential character. For example, "What does love consist in?" asks about the essential nature of love. "The payment consists in food" means the payment is essentially food.

In the context: "the main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab." This seems to say the window is composed of these tabs.

This is tricky. The author probably means "consists of" but wrote "consists in". But we need to choose the best sense based on meaning.

Actually, looking at WordNet, sense 4 usually takes "of" and sense 2 takes "in". But when "consists in" is used to list components, it might be an error or a regional variation.

The question asks: "WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense."

The semantic content is clearly about composition: the window is composed of tabs. So sense 4 "be composed of" seems most semantically appropriate, even though the preposition is "in" rather than "of".

But wait - could this be a case where "consists in" with listing components is actually using sense 2? The essential character of the window is that it has these tabs. Hmm.

Let me think about typical usage. "Happiness consists in being content." means the essential nature of happiness is contentment. "The ceremony consists in several prayers." would mean the ceremony essentially is/involves several prayers.

"The main window consists in a Console tab..." - the essential features of the window are these tabs.

But in technical documentation, "consist of" is the standard way to list components. "The car consists of an engine, wheels, etc." The use of "in" here is likely an error by a non-native speaker or unusual phrasing.

Since sense 4 means "be composed of" and the sentence is listing components (tabs) of the window, sense 4 is the best semantic fit.

However, the string "consists in" literally appears, which is the typical pattern for sense 2. But we should use context. The meaning is about composition, not essential character/origin.

I think sense 4 is the best answer.

Let me double-check by considering how WSD systems would handle this. The verb complement is a list of physical parts of an object (tabs of a window window). This strongly points to composition. Even with "in" instead of "of", the semantic role is whole-part/composition.

Actually, I want to reconsider. Let me look at the examples again:
- Sense 2: "The payment consists in food; What does love consist in?" - These ask about what something essentially is or what its nature involves.
- Sense 4: "The land he conquered comprised several provinces; What does this dish consist of?" - These are about material composition or components.

The window example: "main window consists in a Console tab..." - listing the components of the window. This is about physical/structural composition.

I'll go with sense 4.

Wait, I need to be careful. The output should be JSON like {"sense_index": 4}.

Actually, let me reconsider once more. Maybe there are linguistic reasons to prefer sense 2.

In some dictionaries, "consist in" means "to have as the most important element" while "consist of" means "to be made up of". For the window listing tabs: are these essential characteristics or physical components? They are physical components.

But the preposition used is "in". In proper prescriptive English, this should be "of". However, WordNet distinguishes senses partly by collocational frame. The test asks to choose the best indexed sense based on context.

If a native speaker wrote "The window consists in..." to list tabs, it might be considered an error. But presumably the test is about disambiguating the actual intended meaning.

Hmm, but actually, in the text: "kalgebra main window consists in a Console tab..." This might be following a pattern where the window essentially involves/is constituted by these tabs.

I think the safest answer is sense 2 because the syntactic frame "consists in" matches, and one could interpret the meaning as "the window's essential character/constitution involves these tabs".

But no, I think sense 4 is more semantically appropriate. The question emphasizes "use the sentence context" rather than just relying on the preposition collocation.

Actually, re-reading the instructions: "WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense."

This suggests we shouldn't just rely on the schematic definition but also context. The context is clearly listing components of the window. "consist of" = sense 4 = be composed of.

I'll go with sense 4.

But hold on - I want to check if there's any possibility that "consists in" in this context is an idiomatic use for sense 4 that I'm not aware of. Let me think... In some contexts, speakers might use "consists in" where "consists of" is expected. WordNet sense 4 explicitly uses "consist of".

The task is to choose the best sense. If the user/writer made a preposition error but meant "is composed of", then sense 4 is correct.

Let me commit to sense 4.

Output format: {"sense_index": 4}


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

[User]
Target lemma: console
Target surface form: Console
Context:
It is actually not necessary to know MathML to use kalgebra. 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 <t>Console</t> 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.

Candidate senses:
1. sense_key=console%1:06:03:: | definition=a small table fixed to a wall or designed to stand against a wall | synonyms=console table
2. sense_key=console%1:06:02:: | definition=a scientific instrument consisting of displays and an input device that an operator can use to monitor and control a system (especially a computer system)
3. sense_key=console%1:06:01:: | definition=an ornamental scroll-shaped bracket (especially one used to support a wall fixture) | examples=the bust of Napoleon stood on a console
4. sense_key=console%1:06:00:: | definition=housing for electronic instruments, as radio or television | synonyms=cabinet

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

reasoning_content:
The user wants me to perform word sense disambiguation on the word "Console" in the given context. Let me analyze carefully.

Context: "kalgebra main window consists in a <t>Console</t> 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."

This is talking about a mathematical graphing calculator application (kalgebra), which is software. The "Console" tab is one of the tabs in the main window, alongside 2D Graph, 3D Graph, and Dictionary. Below these tabs is an input field for typing functions or calculations.

Candidate senses:
1. Small table fixed to wall - furniture, doesn't fit
2. Scientific instrument with displays and input device for monitoring/controlling a computer system - this fits with software interface concept
3. Ornamental bracket - doesn't fit
4. Housing for electronic instruments - radio/TV cabinet - less fitting

Sense 2 "a scientific instrument consisting of displays and an input device that an operator can use to monitor and control a system (especially a computer system)" is the closest. In software/UI context, a "console" often refers to a panel or terminal where users input commands and see output, which conceptually aligns with this sense.

The console tab in kalgebra has an input field below, so it's an interface element for input/output. Best sense is 2.

Note: WordNet indexes start at 0, so sense_key ending 02 means index 3? Wait, need to map. The senses are listed:
1. console%1:06:03::
2. console%1:06:02::
3. console%1:06:01::
4. console%1:06:00::

The question says return {"sense_index": 3} referring to the candidate number (1-indexed), or the lexicographer index?

The instruction says "Return only a JSON object exactly like {"sense_index": 3}." The example would mean returning the candidate sense number. Since sense 2 is the second candidate, I should return {"sense_index": 2}.

Wait, let me re-read: "Choose the single best indexed sense." The candidates are numbered 1, 2, 3, 4. The example {"sense_index": 3} suggests using the candidate numbering. So if candidate 2 is best, return {"sense_index": 2}.

Actually, the WordNet sense key suffixes are 03, 02, 01, 00, which would be lexicographer file indices. But the candidates are numbered 1-4 in the prompt. The instruction says "Return only a JSON object exactly like {"sense_index": 3}" - this is using the candidate position, since 3 is a small integer.

So answer: {"sense_index": 2}


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

[User]
Target lemma: 3d
Target surface form: 3D
Context:
It is actually not necessary to know MathML to use kalgebra. 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 <t>3D</t> Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations.

Candidate senses:
1. sense_key=3-d%1:10:00:: | definition=a movie with images having three dimensional form or appearance | synonyms=three-D
2. sense_key=3-d%1:09:00:: | definition=having a three-dimensional form or appearance | synonyms=three-D | examples=aren't dreams always in 3-D?

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

reasoning_content:
 The user is asking me to disambiguate the target word "3D" in a given context. I need to choose between two candidate senses.

Context: The sentence is about kalgebra, a MathML-based graph calculator. It mentions Console tab, 2D Graph tab, 3D Graph tab, and Dictionary tab. The "3D" here refers to "three-dimensional" graphing, not a movie.

Candidate 1: A movie with images having three dimensional form or appearance
Candidate 2: Having a three-dimensional form or appearance

In this context, "3D Graph tab" means a tab for graphing in three dimensions (3D graphs). This refers to the property of having three-dimensional form or appearance, not a movie. The example "aren't dreams always in 3-D?" also relates to three-dimensional appearance/experience, not a movie.

So the best sense is sense 2.

The output should be JSON exactly like {"sense_index": 3} but with index 2. Wait, the instruction says not to answer with a WordNet sense key, and return JSON object like {"sense_index": 3}. So I'll return {"sense_index": 2}.

provider: Parasail


[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: below
Target surface form: Below
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. <t>Below</t> 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.

Candidate senses:
1. sense_key=below%4:02:01:: | definition=in or to a place that is lower | synonyms=at a lower place, to a lower place, beneath
2. sense_key=below%4:02:00:: | definition=at a later place | examples=see below
3. sense_key=below%4:02:02:: | definition=(in writing) see below | synonyms=infra | examples=vide infra
4. sense_key=below%4:02:06:: | definition=on a floor below | synonyms=downstairs, down the stairs, on a lower floor | examples=the tenants live downstairs
5. sense_key=below%4:02:03:: | definition=further down | synonyms=under | examples=see under for further discussion

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:
We need disambiguate word "Below" in context. It's a spatial/positional usage in UI description: "Below these tabs you will find an input field..." The MathML graph calculator window has tabs Console, 2D, 3D, Dictionary. "Below these tabs you will find an input field" meaning lower in place/position. Candidate senses:
1 in or to a place that is lower; synonyms at a lower place, to a lower place, beneath.
2 at a later place; see below
3 in writing see below; infra; vide infra
4 on a floor below; downstairs
5 further down; under; see under.
Context is about physical/screen layout relative to tabs: position lower than tabs. Sense 1 best matches place/position lower. Arguably sense 5 "further down" synonyms under examples see under; but UI "below these tabs" = at a lower position. Sense 1 definition "in or to a place that is lower" with synonyms beneath is most appropriate. Return JSON only.
Need ensure no WordNet key. Only {"sense_index" :1}.

provider: Together


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

Candidate senses:
1. sense_key=find%2:40:02:: | definition=come upon, as if by accident; meet with | synonyms=happen, chance, bump, encounter | examples=We find this idea in Plato; I happened upon the most wonderful bakery not very far from here
2. sense_key=find%2:39:02:: | definition=discover or determine the existence, presence, or fact of | synonyms=detect, observe, discover, notice | examples=She detected high levels of lead in her drinking water; We found traces of lead in the paint
3. sense_key=find%2:40:00:: | definition=come upon after searching; find the location of something that was missed or lost | synonyms=regain | examples=Did you find your glasses?; I cannot find my gloves!
4. sense_key=find%2:32:00:: | definition=establish after a calculation, investigation, experiment, survey, or study | synonyms=determine, find out, ascertain | examples=find the product of two numbers; The physicist who found the elusive particle won the Nobel Prize
5. sense_key=find%2:31:10:: | definition=come to believe on the basis of emotion, intuitions, or indefinite grounds | synonyms=feel | examples=I feel that he doesn't like me; I find him to be obnoxious
6. sense_key=find%2:39:01:: | definition=perceive or be contemporaneous with | synonyms=witness, see | examples=We found Republicans winning the offices; You'll see a lot of cheating in this school
7. sense_key=find%2:40:01:: | definition=get something or somebody for a specific purpose | synonyms=line up, get hold, come up | examples=I found this gadget that will serve as a bottle opener; I got hold of these tools to fix our plumbing
8. sense_key=find%2:36:00:: | definition=make a discovery, make a new finding | synonyms=discover | examples=Roentgen discovered X-rays; Physicists believe they found a new elementary particle
9. sense_key=find%2:31:09:: | definition=make a discovery | synonyms=discover | examples=She found that he had lied to her; The story is false, so far as I can discover
10. sense_key=find%2:40:03:: | definition=obtain through effort or management | examples=She found the time and energy to take care of her aging parents; We found the money to send our sons to college
11. sense_key=find%2:32:01:: | definition=decide on and make a declaration about | synonyms=rule | examples=find someone guilty
12. sense_key=find%2:30:00:: | definition=receive a specified treatment (abstract) | synonyms=receive, get, obtain, incur | examples=These aspects of civilization do not find expression or receive an interpretation; His movie received a good review
13. sense_key=find%2:39:05:: | definition=perceive oneself to be in a certain condition or place | examples=I found myself in a difficult situation; When he woke up, he found himself in a hospital room
14. sense_key=find%2:40:15:: | definition=get or find back; recover the use of | synonyms=recover, retrieve, regain | examples=She regained control of herself; She found her voice and replied quickly
15. sense_key=find%2:38:10:: | definition=succeed in reaching; arrive at | examples=The arrow found its mark
16. sense_key=find%2:30:13:: | definition=accept and make use of one's personality, abilities, and situation | synonyms=find oneself | examples=My son went to Berkeley to find himself

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:
We need decide the best WordNet sense for "find" in context: "Below these tabs you will find an input field to type your functions or do your calculations." It's a software interface description: locate/see an input field. Candidate senses:
1 come upon as if accident. no.
2 detect/discern existence. not exactly; input field is present/located.
3 come upon after searching; find location of something missed/lost. Not searching, but you will find = can see/locate.
7 get something/somebody for a specific purpose. no.
13 perceive oneself to be in condition/place. no, object is input field.
15 succeed in reaching; arrive at. The arrow found its mark. Not.
4 establish after calculation. no.
Maybe sense 2: discover/presence of? "you will find an input field" implies in the interface there is. But sense 3 maybe for spatial location. Example "I cannot find my gloves" is about location after searching. Here "Below these tabs you will find an input field" is generic locational existence/ placement, often maps to sense 3 "find the location of something" (even without active search). In usage descriptions, "you will find" is equivalent to "you can find/locate". Which WordNet sense best? Let's examine candidate definitions.
Sense 3: come upon after searching; find the location of something that was missed or lost. It requires after searching? The example "Did you find your glasses? I cannot find my gloves!" implies active retrieval. Context: "Below these tabs you will find an input field" not after search.
Sense 2: discover or determine the existence, presence, or fact of. Examples: "We found traces of lead" leads detection. Could fit: you will find (discover/existence) an input field. But this often used for detection of facts, substances, traces.
Sense 6: perceive or be contemporaneous with; witness, see. "Below these tabs you will find/see an input field." This seems close: perceive by seeing. However "find" with see definition: examples "You'll see a lot of cheating" synonymous? "find Republicans winning"? That means encounter/witness, not static layout.
Sense 1: come upon as if accident; meet with. "We find this idea in Plato". That's used for texts/ideas unexpectedly, but input field is spatial.
Sense 7: get something for specific purpose. no.
Sense 15: arrive at (target). no.
Sense 13: perceive oneself. no.
Sense 3 is commonly used for object location. Even without active search. Let's think WordNet mapping of "find" in "You will find a book on the table" to sense 3? Actually "come upon after searching" maybe includes general "locate". In WSD SemCor annotations for "find" in spatial locating, likely sense 3. There is a known distinction: find%2:39:02 (detect presence) vs find%2:40:00 (locate something that was lost). This context is locating a UI element; answer 3.
We must return JSON only {"sense_index": 3}.
Should include no explanation. Final exactly json.


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

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

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

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

reasoning_content: We need answer only JSON object with sense_index. Need choose best sense among two candidates. Context: "Below these tabs you will find an input field to type your functions or do your calculations." This is entering text via keyboard. Sense 1 definition write by means of keyboard with types, synonyms typewrite, examples type the acceptance letter. Sense 2 is identify as belonging to a certain type. So choose 1. Return {"sense_index":1}.

provider: Moonshot AI


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

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

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the target word "functions" in the given context. The target lemma is "function" and the surface form is "functions" (plural).

Let me analyze the context:
- It's about "kalgebra", a MathML based graph calculator
- There's an input field to type your "functions" or do calculations
- The input is converted into MathML
- It mentions 2D Graph, 3D Graph, mathematical calculations

Now let me look at the candidate senses:
1. sense_key=function%1:24:00:: - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function). Synonyms: mathematical function, single-valued function, map, mapping.
2. sense_key=function%1:07:00:: - what something is used for. Synonyms: purpose, role, use.
3. sense_key=function%1:04:00:: - the actions and activities assigned to or required or expected of a person or group. Synonyms: office, part, role.
4. sense_key=function%1:24:01:: - a relation such that one thing is dependent on another. Examples: height is a function of age; price is a function of supply and demand.
5. sense_key=function%1:14:00:: - a formal or official social gathering or ceremony.
6. sense_key=function%1:11:00:: - a vaguely specified social event.
7. sense_key=function%1:10:00:: - a set sequence of steps, part of larger computer program. Synonyms: routine, subroutine, subprogram, procedure.

The context is clearly mathematical - it's a graph calculator, MathML, typing functions for calculations. The best sense is the mathematical sense (sense 1).

Sense 4 is also a relation, but it's about dependency (height is a function of age), not the mathematical function with domain/range mapping. In this context, "type your functions" refers to mathematical functions like f(x) = x^2, which would be graphed or calculated.

Sense 7 could be tempting because it's software (kalgebra is a calculator program), but "functions" here refers to mathematical functions being input, not programming subroutines.

So the best answer is sense_index: 1.


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

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

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

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

reasoning_content:
 We need answer JSON only. We need choose best WordNet sense index for lemma 'do' surface form 'do' in context: 'an input field to type your functions or <t>do</t> your calculations'.

Need analyze. Candidate senses listed. Context: computer app KAlgebra, input field to type functions or do calculations. Means perform/carry out calculations. 'do your calculations' is execute/perform an action or get done. Which sense? Let's examine WordNet senses.

1. do%2:41:01:: engage in; synonyms make; examples make love, not war; make an effort. Usually "do" sense 1: engage in, e.g., do research. But "do calculations" likely carry out/perform rather than engage in.

2. do%2:36:01:: carry out or perform an action; synonyms perform, execute; examples John did the painting... Skater executed. This is broad.

3. do%2:41:04:: get (something) done; synonyms perform; examples I did my job. This is more accomplish a task.

4. proceed/get along.

5. give rise to; cause.

6. carry out or practice; as of jobs/professions.

7. be sufficient.

8. create/design.

9. behave.

10. spend time in prison.

11. carry on or function.

12. arrange attractively.

13. travel/traverse.

"do your calculations" means perform or execute your calculations. Which sense best between 2 and 3? In WordNet, sense 2:41:04 "get (something) done" includes "I did my job". It's a social/perception verb? Lexicographer file is verb.social perhaps. Sense 2:36:01 is verb.creation? Actually WordNet do has many. Let's recall do wordnet.

do (verb) senses:
1. make, do -- engage in; "make love, not war"; "make an effort"; "do research"; "do nothing"
2. perform, execute, do -- carry out or perform an action; "John did the painting, the weeding, and he cleaned out the gutters"; "the skater executed a triple pirouette"
3. do, perform -- get (something) done; "I did my job"
4. do, fare, make out, come, get along -- proceed or get along
5. cause, do, make -- give rise to; cause to happen or occur, not always intentionally
6. practice, practise, exercise, do -- carry out or practice; as of jobs and professions; "practice law"
7. suffice, do, answer, serve -- be sufficient; be adequate, either in quality or quantity
8. do, make -- create or design, often in a certain way; "Do my room in blue"; "I did this piece in wood to express my love for the forest"
9. act, behave, do -- behave in a certain manner; show a certain behavior
10. serve, do -- spend time in prison or in a labor camp
11. do, manage -- carry on or function; "We could do with a little more help around here"
12. dress, arrange, set, do, coif, coiffe, coiffure -- arrange attractively
13. do -- travel or traverse (a distance); "This car does 150 miles per hour"; "We did 6 miles on our hike every day"

Our target phrase 'do your calculations' as parallel to 'type your functions': input field to type functions or do calculations. This means perform the activity of computing/calculating. I think sense 2 or 3. 'do your calculations' similar to 'do the math' -> careful. 'perform calculations' -> sense 2? 'I did my job' is get something done, maybe more "accomplish a task" rather than create. However 'do calculations' is to carry out a series of operations. Possibly sense 2 because it's performing an action (calculation). Definition: carry out or perform an action. 'calculations' are actions. Synonyms perform, execute. The examples: 'John did the painting' tasks. This is broad enough.

Sense 3: get (something) done. This has a specific nuance: "I did my job" implies do an expected task/duty. 'do your calculations' is less like duty and more action. But note dictionary examples: "I did my job". The difference: do (perceive? Actually sense 3 is verb.social, subcategorization? It has frames: somebody ----s something; somebody ----s PP; somebody ----s something PP. Sense 2 includes 'carry out or perform an action' with frames somebody ----s something (he executed); [no object] he did well. Hmm.

In WSD tasks like this, choice often falls to sense 3 for 'do your calculations'? Let's deeply examine.

The phrase appears in technical docs. "to type your functions or do your calculations." The user uses the input field to type functions or do calculations. Here 'do' means perform/carry out computations. In WordNet, the sense 'perform or execute an action' (2) is likely. Sense 3 (do, perform = get done) also possible.

Need decide single best. Let's consider glosses and examples: Sense 2: "carry out or perform an action" synonyms perform, execute. 'do your calculations' exactly: carry out calculations (an action). Sense 3: "get (something) done" synonyms perform; example I did my job. This entails completing an obligation. Calculations are not necessarily an obligation/task.

Also in typical WordNet mapping for "do the math/calculations", I want to check actual annotations. There might be a known gold sense: "do your calculations" could be sense 2? Let's search memory: In SemCor or other corpora, "do calculations"? I don't have external resources. But likely sense 2: perform/execute. However one could argue "do calculations" = "make calculations"? Actually make calculations? The NP 'calculations' collocates with 'do' and 'perform'. WordNet example "carry out or perform an action" perhaps includes 'do the math'.

Let's investigate subtle distinctions:

Sense 1 (engage in): e.g., "do research", "do business", "do the dishes" maybe sense 1? Actually "do the dishes" is sense 1 (engage in). 'Do one's homework" maybe sense 1? Hmm. Does 'do your calculations' mean engage in? Probably less.

Sense 3 distinguished from sense 2: It has the same synonym 'perform' but definition "get (something) done". This is actually a specific sense of accomplish a definite piece of work. Typically: "He did his homework", "She did the housework". That is exactly tasks like calculations. Wait which sense is "I did my job"? The task sense. If someone says "I did the dishes", is that sense 3 or 1? According to some lexicon, "do the dishes", "do the laundry" is sense 3 "get (something) done; perform". Sense 1 is "engage in" as in "do good deeds" maybe not with concrete objects distinguishing done. Hmm.

Let's locate actual WordNet definitions and examples from memory more precisely.

WordNet 'do' perhaps shows:
S: (v) make, do (engage in) "make love, not war"; "make an effort"; "do research"; "do nothing"
S: (v) perform, execute, do (carry out or perform an action) "John did the painting, the weeding, and he cleaned out the gutters";"the skater executed a triple pirouette"
S: (v) do, perform (get (something) done) "I did my job"
S: (v) do, fare, make out, come, get along (proceed or get along) ...

So sense 2 includes "John did the painting, the weeding..." That also is tasks completed. Then what distinguishes sense 3? Maybe sense 2 emphasizes the action/manner/execution; sense 3 emphasizes completion/fulfillment. "John did the painting" maybe suggests he performed the activity, while "I did my job" means fulfilled it, got it done.

In "do your calculations", both senses plausible. Which is the "single best"? Need select.

Potential influencing factor: The target surface form is 'do' immediately before 'calculations' (common collocation). Lexical semantics: 'do calculations' = perform calculations. WordNet has no specific 'calculation' example. Could annotate as sense 2 due to "carry out or perform an action" because a calculation is an action/operation. Sense 3 fits for tasks/jobs/duties. Since calculations are tasks, maybe sense 3 actually because you're getting a calculation done.

But consider the entire phrase: "an input field to type your functions or do your calculations". The purpose: the user types functions or calculates. The verb is light: do calculations. In machine translation WSD, "do" sense may be one of the most common. The examples for sense 2: "John did the painting, the weeding..." includes gerund tasks. "Calculations" is a noun. Could be similar to "did the painting"? Painting and calculations both concrete activity tasks. So sense 2 aligns with example 'did the painting'. Sense 3's example is 'my job' (a role/duty). Calculations are not a job/duty; they are an operation. So I lean sense 2.

However, could sense 1 (engage in) fit? "do calculations" similar to "do research". Research is an unbounded activity; calculations are a bounded task. There are 'do nothing' examples. Hmm no.

Could sense 5 (cause) or sense 8 (create) fit? "do calculations" doesn't give rise or create a design. sense 11 (manage) maybe "do with a little help" not.

So between 2 and 3. Need not hedge, output JSON.

Let's analyze using lexical frames. Sense 2: carry out or perform an action - transitive usually with NP denoting action/event, such as "did a somersault", "did the painting". Sense 3: do, perform - get (something) done - transitive with NP denoting task/unit of work, such as "did one's homework", "did the shopping". Now 'calculations' are unit of work. The natural synonym would be 'perform' in either.

Maybe the task wants to disambiguate to a single sense by comparing to examples. There are examples: "John did the painting, the weeding" vs "I did my job". Which more similar to "do your calculations"? I'd say 'the painting' is an activity; 'calculations' is a task. But both.

Let's think of if "do your calculations" is idiomatic in applicable math context: It means compute. If you replace with synonyms:
- engage in calculations? possible but less.
- carry out calculations (sense 2). Great.
- get calculations done (sense 3). acceptable.
- perform calculations (both).
So both synonyms fine.

Maybe WordNet sense 3 "get (something) done" has a specific syntactic/semantic selection: objects are usually 'job', 'homework', 'task', 'errands', 'shopping', 'dishes', 'laundry' (household tasks). 'Calculations' can be a school assignment/homework. "Do your calculations" like "do your homework". If the context says "little mathematical knowledge" and "type your functions or do your calculations", maybe 'calculations' are tasks assigned? Not necessarily.

If this were WordNet, 'calculations' might be annotated as sense 2? Let's see if there are existing examples in Open Multilingual WordNet etc: "do calculus?" I can't recall.

We should evaluate scoring based on sense keys:
- 2:41:01 = engage in (make) (verb.social)
- 2:36:01 = carry out or perform an action (verb.creation? likely verb.contact or verb.social)
Actually second decimal numbers are WordNet lexicographer file numbers. Format lemma%2:pos:sense. For verbs, second part is lexicographer file (two digits), then sense number. do%2:41:01: lexfile 41 = verb.social. do%2:36:01: lexfile 36 = verb.cognition? Not sure. Wait WordNet lexicographer file numbers: noun.Tops=03, noun.act=04, noun.animal=05... verb numbers: verb.body=29, verb.change=30, verb.cognition=31, verb.communication=32, verb.competition=33, verb.consumption=34, verb.contact=35, verb.creation=36, verb.emotion=37, verb.motion=38, verb.perception=39, verb.possession=40, verb.social=41, verb.stative=42, verb.weather=43. So:
- 41 = verb.social (engage, practice law, manage, serve prison, do job)
- 36 = verb.creation (perform action, execute) maybe? Actually execute is verb.creation? Could be.
- 42 = verb.stative (fare, suffice, serve car)
- 29 = verb.body (behave, dress hair)
- 38 = verb.motion (travel)

So sense 2 is in verb.creation; sense 3 is verb.social. Which lexfile applies to 'do calculations'? I'd guess verb.creation because perform an action. Yet "I did my job" is verb.social. Hmm.

The task description says "WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense." So need rely on examples. Example for sense 2: "John did the painting, the weeding, and he cleaned out the gutters". The object is "the painting", a gerund phrase representing activity. For "calculations" noun, perhaps closer to "errands" (not shown). Example for sense 3: "I did my job". The object is a duty. 'Calculations' not duty. So sense 2 better.

Potential problem: sense 2 performs an actual action while the field merely allows the user to type functions/calculations; but 'do' is still perform.

Therefore final answer: {"sense_index": 2}. Need ensure JSON only, no explanation. The instructions say return only a JSON object exactly like {"sense_index": 3}. So output {"sense_index": 2}.


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

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

Let's analyze the context:
- kalgebra is a MathML based graph calculator
- Users can type functions or do calculations
- Input is converted to MathML
- Mathematical software context

Now let's evaluate the candidate senses:

1. calculation%1:04:00:: - "the procedure of calculating; determining something by mathematical or logical methods" - synonyms: computation, computing
2. calculation%1:09:00:: - "problem solving that involves numbers or quantities" - synonyms: computation, figuring, reckoning
3. calculation%1:09:01:: - "planning something carefully and intentionally" - synonyms: deliberation

The context is about using a math calculator to do mathematical operations. The user types functions or does calculations. This is clearly related to mathematical computation.

Sense 1 focuses on "the procedure of calculating" - the act/process of determining something mathematically.
Sense 2 focuses on "problem solving that involves numbers or quantities" - more about solving specific problems.

In the context "type your functions or do your calculations", this refers to performing mathematical calculations/computations using the calculator. Both sense 1 and 2 seem plausible.

However, "do your calculations" is more about the activity/process of calculating rather than solving specific word problems. The software is a calculator for performing mathematical computations. Sense 1 ("the procedure of calculating; determining something by mathematical or logical methods") fits best because it describes the general process of mathematical computation that users perform with the calculator.

Actually, let me reconsider. Sense 2's definition is "problem solving that involves numbers or quantities." This is also very relevant in a calculator context.

But the phrase "do your calculations" in a calculator context most naturally refers to performing computations (the process). The calculator is a tool for computation. Sense 1's definition matches better: "the procedure of calculating; determining something by mathematical or logical methods" with synonyms computation, computing.

In WordNet, calculation%1:04:00:: is often the more common/primary sense of mathematical calculation activity, while calculation%1:09:00:: refers more to the result or instance of solving numerical problems.

Given the context of using calculator software to perform mathematical operations, sense 1 is the best fit.

Wait, I need to be careful. Let me think about the distinction more carefully.

Sense 1 (noun.group? No, 1:04 - noun.act): the procedure of calculating - this is the act/process itself
Sense 2 (1:09 - noun.cognition): problem solving that involves numbers or quantities - this can be a specific calculation problem

In a calculator: "you can type functions or do your calculations" - this is about performing the act of calculation. The user is doing mathematical calculations. I think sense 1 is best because it's about the procedure/act of calculating, not about solving problems per se.

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

provider: AtlasCloud


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

[User]
Target lemma: 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}.

reasoning_content:
 The user wants me to perform Word Sense Disambiguation for the target word "want" in the given context. I need to choose the single best indexed sense from the 5 candidates.

Let me analyze the context: "If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML..."

The sentence expresses a desire or wish to understand something. "If we want to understand" = "If we desire to understand" or "If we wish to understand."

Looking at the candidates:
1. feel or have a desire for; want strongly (synonyms: desire) - "I want to go home now" - this fits perfectly. "want to understand" = desire to understand.
2. have need of (need, require) - "This piano wants the attention" - not a need, but a desire to understand.
3. hunt or look for - FBI wants you - doesn't fit.
4. wish or demand the presence of - "I want you here" - doesn't fit.
5. be without, lack - "want courtesy" - doesn't fit.

Sense 1 is clearly the best fit: "feel or have a desire for; want strongly" with examples like "I want to go home now; I want my own room". The context "If we want to understand how it works" matches this desiderative sense.

I should return only the JSON object: {"sense_index": 1}

provider: Ambient


[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:
We need perform WSD for 'understand' in context. We need choose one indexed sense from candidate senses. We must return JSON only exactly {"sense_index": ?}. Need analyze.

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

Usage: understand how it works. Means comprehend/grasp the nature or functioning. Candidate 1: know and comprehend the nature or meaning of. Examples: understand what she means. This fits general comprehension.

Candidate 2: perceive (an idea or situation) mentally; synonyms realize, see. Example "I just can't see your point"; "Now I see!". Here understand is not an epiphany/realization but comprehension of how it works. Could also fit. But sense 2 synonyms realize/see suggests "perceive mentally", maybe "I understand your situation" = I realize? In context "If we want to understand how it works" = grasp its working. That's sense 1 comprehensive.

Candidate 3: make sense of a language; synonym read, interpret, translate. Not about language.

Candidate 4: believe to be the case; infer. "I understand you have no previous experience" = assume/infers. Not here.

Candidate 5: be understanding of, sympathize. Not.

So best is sense 1. Need return {"sense_index": 1}. Ensure no extra text perinstructions.


[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}.

reasoning_content:
Word Sense Disambiguation for "works" in this context.

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..."

The subject "it" refers to KAlgebra (a software application). The sentence is about understanding how the software functions/operates.

Candidate senses:
1. work hard - no
2. be employed - no
3. have an effect or outcome - possible but not best
4. perform as expected when applied; synonyms=function, operate, go, run - This fits best. "How it works" = how it functions/operates.
5. shape/form material - no
6. give a workout - no
7. proceed along a path - no
8. operate in a certain place/specialty - no
9. proceed towards a goal - no
10. move in agitated manner - no
11. cause to happen - no
12. cause to work - no
13. prepare for crops - no
14. behave when handled - possible but "how it works" is more about functioning
15. influence - no
16. operate in or through - no
17. cause to operate - no
18. provoke - no
19. gratify and charm - no
20. make something - no
21. move into/onto - no
22. make uniform/knead - no
23. use or manipulate to advantage - no
24. find solution - no
25. cause fermentation - no
26. go sour - no
27. arrive at condition through repeated motion - no

Sense 4 is the best match: "perform as expected when applied" with synonyms function, operate, go, run.

The answer should be JSON: {"sense_index": 4}


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

[User]
Target lemma: 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: We need choose best indexed sense for target "best" in context. It is sentence: "the best thing we can do is to realize..." It's superlative of good meaning most advisable/wisest or most positive. The candidates include 1 (best superlative good having most positive qualities), 2 (best comparative superlative of well wiser/more advantageous hence advisable, examples "the White House thought it best not to respond"). In this phrase "the best thing we can do is to realize..." it's an advisable action: the wisest/most advantageous thing. That corresponds WordNet sense "best%5:00:00:advisable:00" (sense 2), not adjective quality sense. Need return JSON only {"sense_index": 2}.

provider: AkashML


[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:
 Let me analyze this carefully.

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

The phrase "the best thing we can do" refers to the best course of action, the best activity or action to take. It's about what action to perform.

Looking at candidate senses:
1. a special situation - no
2. an action - "how could you do such a thing?" - this fits because "the best thing we can do" = the best action we can take
3. a special abstraction - no
4. an artifact - no
5. an event - no
6. a vaguely specified concern - no
7. a statement regarded as an object - no
8. an entity that is not named specifically - no
9. any attribute or quality - no
10. a special objective - could be close, but "the best thing we can do" emphasizes the action/course of action more than an objective
11. a persistent illogical feeling - no
12. a separate and self-contained entity - no

"The best thing we can do" is an idiomatic expression referring to the best action/course of action to take. This matches sense 2 "an action".

Wait, let me reconsider. "the best thing we can do" - is this an action or a course/strategy? The example for sense 2 is "how could you do such a thing?" This sense covers actions in general. "the best thing we can do" refers to the best action (what we do).

Sense 10 "a special objective" - "the thing is to stay in bounds" - this is about a goal/purpose. But in our sentence, "the best thing we can do is to realize..." - "is to realize" is the action. It's what action to perform.

Sense 2 seems best. The answer should be {"sense_index": 2}.


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

[User]
Target lemma: 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:
 Let me analyze this carefully. The target is "do" in "the best thing we can do is to realize that our input is being converted into MathML".

Here we are talking about what action to take, what course of action is best. "can do" is an idiomatic construction meaning "we can perform/an action we can take". The phrase "the best thing we can do" means "the best action/course of action we can take".

Let me look at the candidates:
1. engage in - "make love, not war; make an effort" - This is more about engaging in an activity
2. carry out or perform an action - "John did the painting, the weeding, and he cleaned out the gutters; the skater executed a triple pirouette" - This fits well.
3. get (something) done - "I did my job" - This is about completing a task
4. proceed or get along - "How is she doing in her new job?" - Not this
5. give rise to; cause - "cause a commotion" - No
6. carry out or practice; as of jobs and professions - No
7. be sufficient; be adequate - "A few words would answer" - No
8. create or design - "Do my room in blue" - No
9. behave in a certain manner - "You should act like an adult" - No
10. spend time in prison - No
11. carry on or function - "We could do with a little more help" - No
12. arrange attractively - No
13. travel or traverse - No

Between sense 2 and 3, sense 2 "carry out or perform an action" seems better because "the best thing we can do" refers to the best action/course of action to perform, not completing a specific task. Also sense 2's examples include "John did the painting, the weeding, and he cleaned out the gutters" which shows "do" as performing actions/tasks. Here, "realize that our input is being converted" is the action performed.

So sense 2 is best.


[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: We need answer as JSON with sense index only. Need disambiguate realize in context. Sentence: "If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML." This is mental understanding/perceiving a fact. Among candidates: sense1: be fully aware or cognizant of; sense2: perceive (an idea or situation) mentally with synonyms understand, see; sense1 synonyms recognize etc. Both close. What distinguishes? WordNet realize%2:31:01 means recognize, become cognizant; realize%2:31:00 means understand, "perceive mentally," example Now I see! In phrase "realize that our input is being converted..." It's about understanding/perceiving mentally, like "understand that". Sense2 (index2) likely best. Need be careful: index numbers correspond to listing 1-6. The key 2:31:01 is sense1 (recognize/be aware), key 2:31:00 is sense2 (perceive mentally/understand). Sentence says "If we want to understand how it works, the best thing we can do is to realize that..." Parallels understand, so sense2. Return JSON. Ensure no extra.