[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}.

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

The target word "main" in "kalgebra main window" describes the primary or most important window of the application. This corresponds to sense 1, which defines "main" as the most important element, with synonyms like "chief," "primary," and "principal." The usage parallels the example "the main doors were of solid glass," where "main" identifies the most significant or principal element.

reasoning_content:
Let me analyze the context to determine which sense of "main" is being used.

The context is: "kalgebra main window"

Looking at the three candidate senses:

1. sense_key=main%5:00:00:important:00 | definition=most important element | synonyms=chief, primary, principal, master
   - Example: "the chief aim of living; the main doors were of solid glass"
   - This sense means "most important" or "primary"

2. sense_key=main%3:00:02:: | definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent
   - Example: "the main (or independent) clause in a complex sentence"
   - This is a grammatical/syntactic sense, not relevant here

3. sense_key=main%5:00:00:intense:00 | definition=of force; of the greatest possible intensity
   - Example: "by main strength"
   - This is about physical force/intensity, not relevant here

In the context "kalgebra main window," the word "main" is describing the primary or most important window of the application. This is clearly referring to the principal/primary window, which aligns with sense 1.

Sense 1 is the best fit because:
- "main window" in software terminology refers to the primary/principal window
- The synonyms "chief, primary, principal, master" all fit this usage
- The example "the main doors" shows how "main" describes the most important or primary element

So the answer is sense_index 1.


attempt_kind: initial

status: success

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

[User]
Target lemma: 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}.

raw_output:
```json
{"sense_index": 8}
```

The context clearly refers to a computer application (kalgebra, a graph calculator). The "window" contains interface elements (Console tab, Graph tabs, Dictionary tab, input field) organized within a rectangular display area on the computer screen. This matches sense 8: "(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen."

finish_reason: stop

role: assistant

reasoning_content:
Let me analyze the context carefully. The sentence is about "kalgebra main window" which is described as consisting of "a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab."

The context is clearly about a computer application (kalgebra is a MathML based graph calculator). The "window" here refers to a rectangular area on a computer screen that contains different tabs and interface elements.

Looking at the candidate senses:

1. sense_key=window%1:06:00:: - physical window frame in a wall/roof - NOT this
2. sense_key=window%1:06:01:: - transparent opening in a vehicle - NOT this
3. sense_key=window%1:06:02:: - transparent panel in envelope - NOT this
4. sense_key=window%1:06:04:: - pane of glass - NOT this
5. sense_key=window%1:28:00:: - time period for something - NOT this
6. sense_key=window%1:06:05:: - opening in wall/screen for serving customers - NOT this
7. sense_key=window%1:06:03:: - (computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen - THIS IS IT
8. sense_key=window%1:17:00:: - opening that resembles a window - NOT this

The definition for sense 8 (sense_key=window%1:06:03::) is: "(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen"

This perfectly matches the context where we're talking about kalgebra's main window on a computer screen containing tabs and interface elements.

The answer is sense index 8.

type: thinking

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: 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}.

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

The context clearly indicates that the kalgebra main window is "composed of" a Console tab, a 2D Graph tab, a 3D Graph tab, and a Dictionary tab. This matches sense 4's definition "be composed of" with the synonym "comprise," as exemplified in "What does this dish consist of?" The sentence structure and meaning align with the concept of the window being made up of these component parts.

reasoning_content:
Let me analyze the context and the candidate senses for the word "consists".

From the context:
"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."

This sentence is saying that the kalgebra main window is made up of or is composed of these different tabs. The word "consists" here means "is composed of" or "comprises".

Let me examine each sense:

1. sense_key=consist%2:42:00:: | definition=originate (in) | synonyms=dwell, lie, lie in
   - "The problems dwell in the social injustices in this country"
   - This is about where something originates or is located, not applicable here.

2. sense_key=consist%2:42:04:: | definition=have its essential character; be comprised or contained in; be embodied in
   - "The payment consists in food; What does love consist in?"
   - This is about the essential character or what something is embodied in.

3. sense_key=consist%2:42:02:: | definition=be consistent in form, tenor, or character; be congruous
   - "Desires are to be satisfied only so far as consists with an approved end"
   - This is about consistency or being congruous.

4. sense_key=consist%2:42:01:: | definition=be composed of | synonyms=comprise
   - "The land he conquered comprised several provinces; What does this dish consist of?"
   - This is about being composed of or comprising something.

The context "kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab" is saying that the main window is composed of these tabs. This matches sense 4 the best - "be composed of" with synonym "comprise".
Though the phrasing uses "consists in" rather than "consists of," the intended meaning is still that the window comprises these component tabs. Sense 4 provides the most accurate match for this compositional relationship.


[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}.

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

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

reasoning_content:
Let me analyze the context carefully. The text is describing kalgebra, which is a MathML-based graph calculator software. It mentions:

"kalgebra main window consists in a <t>Console</t> tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab."

The word "Console" here refers to a tab/window interface element in a software application. In the context of software and computing, a "console" typically refers to a user interface for entering commands or viewing output - essentially a command-line interface or terminal window within an application.

Let me examine the candidate senses:

1. sense_key=console%1:06:03:: - "a small table fixed to a wall or designed to stand against a wall" - This is about furniture, not relevant.

2. sense_key=console%1:06:02:: - "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)" - This matches! A console tab in software is indeed a device/interface with displays and input that allows monitoring and control of a system.

3. sense_key=console%1:06:01:: - "an ornamental scroll-shaped bracket" - This is architectural, not relevant.

4. sense_key=console%1:06:00:: - "housing for electronic instruments, as radio or television" - This is about physical cabinets for electronics, not quite right.

The best match is sense 2 - it specifically mentions "especially a computer system" and describes displays and input devices for monitoring and controlling a system, which perfectly describes a Console tab in a calculator application.


[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}.

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

reasoning_content:
Let me analyze the context carefully.

The target word is "3D" in the phrase "3D Graph tab". The context is about kalgebra, a mathematical graph calculator software. The sentence describes the main window features which include a "Console tab", a "2D Graph tab", a "3D Graph tab", and a "Dictionary tab".

Now let me look at the two candidate senses:

Sense 1: "a movie with images having three dimensional form or appearance" - synonyms: three-D
This definition specifically refers to movies with three-dimensional appearance. This is a noun sense that refers to a type of movie or visual medium.

Sense 2: "having a three-dimensional form or appearance" - synonyms: three-D | examples: "aren't dreams always in 3-D?"
This is an adjective sense that describes something as having three-dimensional form or appearance.

In the context "3D Graph tab", the word "3D" is being used as an adjective modifying "Graph tab". It's describing the graph tab as one that displays three-dimensional graphs (as opposed to the "2D Graph tab" which would display two-dimensional graphs).

This is clearly an adjective use, not referring to a movie. The sense describes a graph as having three-dimensional form or appearance, which fits perfectly with "3D Graph tab" - it's a graph with three-dimensional form/appearance.

Therefore, the best fit is Sense 2, which describes something as having a three-dimensional form or appearance.


[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}.

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

The context describes the spatial location of an input field relative to tabs on a screen. "Below these tabs you will find an input field" indicates that the input field is physically located in a lower position than the tabs. This matches sense 1: "in or to a place that is lower" with synonyms like "at a lower place" and "beneath."

reasoning_content:
Let me analyze the context to determine which sense of "below" is being used here.

The sentence is: "Below these tabs you will find an input field to type your functions or do your calculations."

In this context, "below" is describing the spatial location of the input field relative to the tabs. The input field is physically located beneath/under the tabs on the screen.

Let me evaluate each sense:

1. "in or to a place that is lower" - This fits the context. The input field is in a place that is lower (physically below) the tabs on the screen.

2. "at a later place" - This doesn't fit. The context isn't about later placement in text.

3. "(in writing) see below" - This is about referential placement in written text. The context is about physical location on the screen, not about written reference.

4. "on a floor below" - This is about physical floors in a building. The context is about screen layout, not building floors.

5. "further down" - This could potentially fit, but it's less precise than sense 1.

The best fit is sense 1: "in or to a place that is lower" with synonyms "at a lower place, to a lower place, beneath". This directly describes the spatial relationship between the tabs and the input field on the screen - the input field is below (at a lower location than) the tabs.


[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:
Let me analyze the context and the target word "find" in the sentence:

"Below these tabs you will find an input field to type your functions or do your calculations."

In this sentence, "find" means to locate, come upon, or discover something that is available. The user is being directed to where they will locate/discover an input field.

Let me examine the candidate senses:

1. Come upon by accident - doesn't fit, this is deliberate/intentional
2. Discover or determine existence - possible, but more about determining facts
3. Come upon after searching; find location of something missed/lost - This could fit, but the input field isn't really "lost"
4. Establish after calculation/investigation - No, this is about understanding/calculating something
5. Come to believe on basis of emotion - No
6. Perceive or be contemporaneous with - Possible, but not the best fit
7. Get something for a specific purpose - No
8. Make a discovery - Not really
9. Make a discovery/discover - Not quite
10. Obtain through effort/management - No
11. Decide on and make declaration - No
12. Receive specified treatment - No
13. Perceive oneself in certain condition - No
14. Get or find back; recover - No
15. Succeed in reaching; arrive at - Possible, but seems more about success/achievement
16. Accept and make use of one's personality - No

The best fit seems to be sense 3: "come upon after searching; find the location of something that was missed or lost" - though the example says "Did you find your glasses?" which is similar to locating/discovering something in a specific location.

Actually, looking at sense 6: "perceive or be contemporaneous with" with examples like "We found Republicans winning the offices" - this could work too.

But I think sense 3 is the most straightforward interpretation - the user will "find" (locate/come upon) an input field.

When navigating through the interface, the user searches for and locates where the input field is positioned. This matches the sense of coming upon something after looking for it in a specific location.

So my answer is sense 3.


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

[User]
Target lemma: 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}.

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

The context clearly indicates that "type" refers to entering text (functions and calculations) into an input field using a keyboard, which corresponds to sense 1 "write by means of a keyboard with types." The action described is the physical act of typing on a computer interface, not classifying or categorizing something.

reasoning_content:
Let me analyze the context carefully.

The sentence is: "Below these tabs you will find an input field to type your functions or do your calculations."

This is clearly about entering text/functions into an input field on a computer using a keyboard.

Let me look at the two 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
   - This means to write using a keyboard
   - The synonym is "typewrite"
   - Example: "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
   - This means to classify or categorize something
   - The synonym is "typecast"
   - Example: "Such people can practically be typed"

In the context of "Below these tabs you will find an input field to type your functions or do your calculations," the word "type" clearly means to input text/functions using a keyboard. This is exactly what sense 1 describes - "write by means of a keyboard with types."

Sense 2 is about identifying/classifying something as a particular type, which doesn't fit the context at all.

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

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

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

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

The context is clearly about a mathematical calculator (kalgebra) where users input mathematical expressions. The phrase "type your functions or do your calculations" refers to mathematical functions in the formal sense—expressions that define relationships between variables, which is characteristic of sense 1 (a mathematical relation where each element of the domain is associated with an element of the range).

reasoning_content:
Let me analyze this context carefully. The target word is "functions" and it appears in the context of describing kalgebra, a mathematical graph calculator.

The relevant sentence is: "Below these tabs you will find an input field to type your functions or do your calculations."

This is clearly about a mathematical/computational context. Let me examine each sense:

1. sense 1 (function%1:24:00::) - A mathematical relation where each element of the domain is associated with an element of the range. This is about mathematical functions.

2. sense 2 (function%1:07:00::) - What something is used for (purpose, role, use)

3. sense 3 (function%1:04:00::) - Actions and activities assigned to a person or group

4. sense 4 (function%1:24:01::) - A relation where one thing is dependent on another

5. sense 5 (function%1:14:00::) - A formal social gathering

6. sense 6 (function%1:11:00::) - A vaguely specified social event

7. sense 7 (function%1:10:00::) - A sequence of steps in a computer program (routine, subroutine, procedure)

Given the context of "kalgebra is a MathML based graph calculator" and "type your functions or do your calculations," this is clearly about mathematical functions.

The context strongly suggests mathematical/computational sense rather than social events or general purpose. Between sense 1 and sense 4:
- Sense 1 is the formal mathematical definition
- Sense 4 is about dependency relationships

In the context of a calculator where you "type your functions," the most natural interpretation is the standard mathematical function as defined in sense 1. This is about inputting mathematical expressions/functions into the calculator.

The answer should be sense 1.


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

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

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

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

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

The phrase "do your calculations" refers to performing or carrying out a computational action. Sense 2 ("carry out or perform an action") with examples like "John did the painting, the weeding" directly parallels the structure and meaning of "do your calculations" in this context.

reasoning_content:
Let me analyze the context of the word "do" in this sentence:

"Below these tabs you will find an input field to type your functions or <t>do</t> your calculations."

The sentence is talking about using an input field to "do your calculations" - meaning to perform or carry out calculations.

Let me examine the candidate senses:

1. sense_key=do%2:41:01:: | engage in | make | "make love, not war; make an effort"
2. sense_key=do%2:36:01:: | carry out or perform an action | perform, execute | "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:: | get (something) done | perform | "I did my job"
4. sense_key=do%2:42:00:: | proceed or get along | fare, make out, come, get along | "How is she doing in her new job?"
5. sense_key=do%2:36:02:: | give rise to; cause to happen or occur | cause, make | "cause a commotion"
6. sense_key=do%2:41:02:: | carry out or practice; as of jobs and professions | practice, practise, exercise | "practice law"
7. sense_key=do%2:42:01:: | be sufficient; be adequate | suffice, answer, serve | "A few words would answer"
8. sense_key=do%2:36:00:: | create or design, often in a certain way | make | "Do my room in blue"
9. sense_key=do%2:29:09:: | behave in a certain manner | act, behave | "You should act like an adult"
10. sense_key=do%2:42:02:: | spend time in prison | serve | "He did six years"
11. sense_key=do%2:41:03:: | carry on or function | manage | "We could do with a little more help"
12. sense_key=do%2:29:04:: | arrange attractively | dress, arrange, set, coif, coiffe, coiffure | "dress my hair"
13. sense_key=do%2:38:00:: | travel or traverse (a distance) | "This car does 150 miles per hour"

The most fitting senses are 2 and 3, both capturing the idea of executing or completing calculations. Sense 2 emphasizes the action itself—similar to "John did the painting"—while sense 3 focuses on accomplishing a task, like "I did my job." The distinction is subtle, with sense 2 being the broader interpretation of performing an action.

Given the parallel structure between "do your calculations" and examples like "John did the painting, the weeding, and he cleaned out the gutters," sense 2 is the strongest match. The answer is 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}.

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

The context describes a mathematical calculator application where users input functions to perform mathematical operations. The word "calculations" refers to the mathematical procedures and computations being performed, which directly matches sense 1's definition: "the procedure of calculating; determining something by mathematical or logical methods." The synonyms "computation" and "computing" are also perfectly aligned with how a calculator application functions.

reasoning_content:
Let me analyze the context carefully. The target word is "calculations" in the sentence:

"Below these tabs you will find an input field to type your functions or do your <t>calculations</t>."

The context is about a math calculator (kalgebra) that can perform mathematical operations and create graphs. The user inputs functions or does calculations in an input field.

Now let me examine the three 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

Given the context of a mathematical calculator where users input functions and perform mathematical operations, the word "calculations" clearly refers to mathematical computations.

Sense 1 and Sense 2 are both mathematically oriented:
- Sense 1: "the procedure of calculating; determining something by mathematical or logical methods"
- Sense 2: "problem solving that involves numbers or quantities"

Sense 3 is about planning and deliberation, which doesn't fit the context at all.

Between senses 1 and 2:
- Sense 1 emphasizes the "procedure" and "mathematical or logical methods"
- Sense 2 emphasizes "problem solving" with "numbers or quantities"

In the context of a calculator application where users are typing functions and performing mathematical operations, sense 1 seems more appropriate because it specifically refers to "the procedure of calculating" and "mathematical methods," which aligns with how the calculator works.

Sense 2 is more about problem-solving, while in this calculator context, the user is simply performing mathematical calculations/computations.
Sense 1 is the correct match here.


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

[User]
Target lemma: 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}.

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

The context "If we want to understand how it works" expresses a desire or wish to achieve understanding. This directly matches sense 1: "feel or have a desire for; want strongly," which is synonymous with "desire" and uses the structurally similar example "I want to go home now."

reasoning_content:
Let me analyze the context carefully to determine the best sense for "want" in this 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..."

The sentence is saying: "If we desire/wish to understand how it works..."

Let me examine each sense:

1. sense_key=want%2:37:00:: | definition=feel or have a desire for; want strongly | examples=I want to go home now; I want my own room
   - This means "desire" or "wish"
   - The example "I want to go home now" is very similar to our context "we want to understand"

2. sense_key=want%2:34:00:: | definition=have need of | synonyms=need, require
   - This would be about needing something in a more practical sense
   - "This piano wants the attention..." means "the piano needs attention"
   - This doesn't fit our context well

3. sense_key=want%2:35:00:: | definition=hunt or look for; want for a particular reason
   - This is about being wanted by authorities
   - "Your former neighbor is wanted by the FBI"
   - This doesn't fit

4. sense_key=want%2:31:01:: | definition=wish or demand the presence of
   - This is about wanting someone to be present
   - "I want you here at noon!"
   - This doesn't fit our context

5. sense_key=want%2:42:01:: | definition=be without, lack; be deficient in
   - This is about lacking something
   - "want courtesy; want the strength to go on living"
   - This doesn't fit

The best fit is clearly sense 1. The context is "If we want to understand..." which is expressing a desire or wish to understand something. This matches the definition "feel or have a desire for" and the example "I want to go home now" is structurally very similar to our target phrase.


[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}.

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

The context describes understanding how a software system works by mentally grasping a concept ("realize that our input is being converted into MathML"). Sense 2, "perceive (an idea or situation) mentally," with the synonym "realize," is most appropriate here. The writer even uses "realize" immediately after in the same sentence, reinforcing this interpretation of understanding as mental perception or grasping of an idea.

reasoning_content:
Let me analyze the context for the word "understand" in this 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 context is about understanding how a software application (kalgebra) works - specifically how input is converted to MathML.

Let me look at each sense:

1. "know and comprehend the nature or meaning of" - This is a general sense of understanding meaning or nature. This could fit - understanding how something works is comprehending its nature.

2. "perceive (an idea or situation) mentally" - synonyms: realize, realise, see. This is about perceiving mentally. Notice the sentence says "the best thing we can do is to realize that..." - there's even the word "realize" used in the same sentence! This sense emphasizes perceiving or grasping mentally.

3. "make sense of a language" - This is specifically about understanding language. The context isn't about understanding a language per se, but rather understanding how a system works.

4. "believe to be the case" - This is about inference/assumption. The context isn't suggesting an assumption but rather a genuine understanding.

5. "be understanding of" - This is about being sympathetic or empathetic. This doesn't fit the context at all.

Looking at the sentence more carefully: "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 word "realize" appears right after, and sense 2 has "realize" as a synonym. The sense definition is "perceive (an idea or situation) mentally" which fits well with understanding how something works - it's about mentally grasping the concept.

However, sense 1 is also quite general and could work: "know and comprehend the nature or meaning of" - understanding how something works is about comprehending its nature.
The parallel structure with "realize" in the following clause is telling—sense 2 explicitly lists it as a synonym, and the writer's immediate use of that word suggests they're expressing the same concept. Sense 2's emphasis on mental perception captures what's needed here: grasping how the mechanism operates.


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

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

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

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

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

The context is asking "how it works" in reference to the kalgebra software tool - specifically, how it functions or operates as a technical system. Sense 4 ("perform as expected when applied; function, operate, go, run") is the best match, with synonyms like "function" and "operate" directly capturing the meaning here. The example "Does this old car still run well?" parallels the technical inquiry about how the software operates.

reasoning_content:
Let me analyze the context carefully. The sentence is:

"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."

The context is about a software tool (kalgebra) that takes input and converts it to MathML. The question is asking "how it works" - meaning how does this software function or operate.

Looking at the candidate senses:

1. exert oneself by doing mental or physical work - NOT RELEVANT
2. be employed - NOT RELEVANT
3. have an effect or outcome; often the one desired or expected - POSSIBLE, example: "How does your idea work in practice?"
4. perform as expected when applied; function, operate, go, run - VERY GOOD, examples mention "The washing machine won't go unless it's plugged in; Does this old car still run well?"
5. shape, form, or improve a material - NOT RELEVANT
6. give a workout to - NOT RELEVANT
7. proceed along a path - NOT RELEVANT
8. operate in a certain place, area, or specialty - NOT RELEVANT
9. proceed towards a goal or along a path - POSSIBLE but less specific
10. move in an agitated manner - NOT RELEVANT
11. cause to happen or to occur as a consequence - NOT RELEVANT
12. cause to work - NOT RELEVANT
13. prepare for crops - NOT RELEVANT
14. behave in a certain way when handled - POSSIBLE
15. have and exert influence or effect - NOT RELEVANT
16. operate in or through - NOT RELEVANT
17. cause to operate or function - NOT RELEVANT
18. provoke or excite - NOT RELEVANT
19. gratify and charm - NOT RELEVANT
20. make something - NOT RELEVANT
21. move into or onto - NOT RELEVANT
22. make uniform - NOT RELEVANT
23. use or manipulate to one's advantage - NOT RELEVANT
24. find the solution to - NOT RELEVANT
25. cause to undergo fermentation - NOT RELEVANT
26. go sour or spoil - NOT RELEVANT
27. arrive at a certain condition through repeated motion - NOT RELEVANT

Sense 4 is the clearest match here. The phrase "how it works" is asking about the operational mechanics of the software—specifically how the tool functions when processing input and converting it to MathML format. This aligns perfectly with the definition "perform as expected when applied; function, operate, go, run."

While sense 3 ("have an effect or outcome") could tangentially apply, sense 4 captures the technical, functional aspect of the question more precisely. The answer is 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}.

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

The word "best" in "the best thing we can do is to realize..." refers to what is most advisable or wise to do. This matches sense 2, which defines "best" as "wiser or more advantageous and hence advisable." The example provided in sense 2—"the White House thought it best not to respond"—has nearly identical structure and meaning to the target context. Sense 1 (superlative of good, having the most positive qualities) would be more appropriate for contexts like "the best film" where we're evaluating inherent qualities, rather than recommending an optimal course of action.

reasoning_content:
Let me analyze the context and the target word "best" in the sentence:

"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."

The word "best" here is being used in a context where we're talking about the most advisable or optimal action to take. It's saying that the best (most advantageous) thing we can do is to realize something specific about how the system works.

Let me look at the candidate senses:

1. "best%3:00:00::" - (superlative of 'good') having the most positive qualities - examples: "the best film of the year; the best solution"

2. "best%5:00:00:advisable:00" - (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"

Looking at the context again: "the best thing we can do is to realize..."

This is clearly about what is the most advisable or optimal action. The examples in sense 2 are very similar: "the White House thought it best not to respond" - this is about what is most advisable, not just about having the most positive qualities in general.

Sense 1 is more about the superlative of "good" in terms of having the most positive qualities (like "best film of the year"), while sense 2 is specifically about being wiser, more advantageous, and hence advisable.

The context "the best thing we can do" clearly fits sense 2 - it's about what is most advisable or wise to do.
The answer is sense 2.


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

[User]
Target lemma: 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}.

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

The phrase "the best thing we can do" refers to an action or course of action. The context shows the speaker discussing what approach would be most helpful ("the best thing we can do is to realize..."), which aligns with sense 2's definition of "an action." This is further supported by the example "how could you do such a thing?" which uses "thing" in the same way to refer to an action.

reasoning_content:
Let me analyze the context carefully. The sentence is:

"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..."

Here, "thing" is used to mean "action" or "approach" - the best action/approach we can do. This is talking about what would be the best course of action or best thing to do.

Let me examine the candidate senses:

1. sense_key=thing%1:26:00:: - "a special situation" - Not quite right
2. sense_key=thing%1:04:00:: - "an action" - This seems very plausible. "The best thing we can do" = "the best action we can take"
3. sense_key=thing%1:09:00:: - "a special abstraction" - Not really
4. sense_key=thing%1:06:00:: - "an artifact" - No, not talking about an object
5. sense_key=thing%1:11:00:: - "an event" - Could work slightly but not as good as action
6. sense_key=thing%1:09:02:: - "a vaguely specified concern" - Could work with "matters" but not as fitting
7. sense_key=thing%1:10:00:: - "a statement regarded as an object" - No
8. sense_key=thing%1:06:01:: - "an entity that is not named specifically" - No
9. sense_key=thing%1:07:00:: - "any attribute or quality considered as having its own existence" - No
10. sense_key=thing%1:09:01:: - "a special objective" - "the thing is to stay in bounds" - This could fit too
11. sense_key=thing%1:12:00:: - "a persistent illogical feeling" - No
12. sense_key=thing%1:03:00:: - "a separate and self-contained entity" - No

The phrase "the best thing we can do" clearly points to an action or approach. Sense 2 (an action) with its example "how could you do such a thing?" aligns perfectly with this usage. The answer is 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}.

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

The target word "do" in the phrase "the best thing we can do is to realize" means to carry out or perform an action. The sentence is discussing what action (or thing to perform) would best help understand how the software works. This directly corresponds to sense 2: "carry out or perform an action" with examples like "John did the painting, the weeding, and he cleaned out the gutters."

reasoning_content:
Let me analyze the context carefully:

"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."

The sentence is saying: "the best thing we can do is to realize that..."

So "do" here means "to perform" or "to carry out". The person is saying the best action/thing they can perform is to realize/understand something.

Let me look at the candidate senses:

1. "engage in" - make love, make an effort - This could fit, but it's quite broad
2. "carry out or perform an action" - John did the painting, the weeding, and he cleaned out the gutters - This seems to fit well
3. "get (something) done" - I did my job - This could work
4. "proceed or get along" - How is she doing in her new job? - Not the right sense here
5. "give rise to; cause to happen or occur" - cause a commotion - Not right
6. "carry out or practice; as of jobs and professions" - practice law - Could fit
7. "be sufficient; be adequate" - Not right
8. "create or design, often in a certain way" - Do my room in blue - Not quite right
9. "behave in a certain manner" - Not right
10. "spend time in prison" - Not right
11. "carry on or function" - Could work
12. "arrange attractively" - Not right
13. "travel or traverse" - Not right

The context "the best thing we can do is to realize" - this is asking what action is the best thing to take. The verb "do" here means to perform or carry out an action.
Sense 2 fits better than sense 3 because it emphasizes the action of performing or executing something, whereas sense 3 focuses on completion. Here, we're talking about performing the action of realizing something, which aligns with "carry out or perform an action" rather than simply getting something done. I'll select sense 2 (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: realize
Target surface form: realize
Context:
Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to <t>realize</t> that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

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

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

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

The word "realize" in this context means to understand or perceive mentally that the input is being converted into MathML. The speaker is encouraging the reader to become aware of how the system works. This matches sense 2: "perceive (an idea or situation) mentally," which captures the cognitive understanding of a concept or situation. The synonyms "understand" and "see" and the example "Now I see!" align well with the usage here.

reasoning_content:
Let me analyze the context to determine which sense of "realize" is being used.

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

Looking at the context:
- The speaker is explaining how to understand the software
- They want to "realize" that the input is being converted into MathML
- This is about becoming aware or understanding a fact

Let me examine each sense:

1. "be fully aware or cognizant of" (recognize, recognise, realise, agnize, agnise)
   - This fits - "realize that our input is being converted" means to become aware of this fact

2. "perceive (an idea or situation) mentally" (understand, realise, see)
   - This also fits - "realize" in the sense of understanding/perceiving that something is happening

3. "make real or concrete; give reality or substance to"
   - This doesn't fit - we're not making something real here

4. "earn on some commercial or business transaction"
   - This doesn't fit at all

5. "convert into cash"
   - This doesn't fit

6. "expand or complete (a part in baroque music)"
   - This doesn't fit

Between senses 1 and 2:
- Sense 1: "be fully aware or cognizant of" - emphasizes awareness/recognition
- Sense 2: "perceive (an idea or situation) mentally" - emphasizes understanding/perception

Both are very similar. The context "realize that our input is being converted into MathML" suggests understanding a concept or idea. Sense 2 emphasizes "perceive (an idea or situation) mentally" which seems more directly applicable to understanding how something works conceptually.

Actually, let me reconsider. Sense 1 talks about "recognize" which means to become aware of something. In the context "realize that..." it's about becoming aware or understanding that something is true.
Sense 2 is the better fit here because it captures the mental perception of an idea—grasping that the input undergoes conversion to MathML. This aligns with the phrase "Now I see!" and reflects the conceptual understanding needed to work with the software.


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

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

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

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

reasoning_content:
Let me analyze the context to determine the best sense for "converted" in this sentence:

"our input is being converted into MathML although it is not necessary to know MathML"

The context is about a mathematical software (kalgebra) where user input is being transformed into MathML format.

Let me look at the candidate senses:

1. "change from one system to another or to a new plan or policy" - Example: "We converted from 220 to 110 Volt" - This is about changing systems, which is relevant to converting input into MathML.

2. "change the nature, purpose, or function of something" - Examples: "convert lead into gold; convert hotels into jails" - This is about changing what something is or what it does.

3. "change religious beliefs, or adopt a religious belief" - Not relevant here.

4. "exchange or replace with another, usually of the same kind or category" - Examples: "Could you convert my dollars into pounds?" - This is about converting one form to another equivalent form.

5. "cause to adopt a new or different faith" - Not relevant here.

6-8. Sports-related senses - Not relevant here.

9. "make (someone) agree, understand, or realize the truth or validity of something" - Not relevant here.

10. "exchange a penalty for a less severe one" - Not relevant here.

11. "change in nature, purpose, or function; undergo a chemical change" - Similar to sense 2.

In the context, the input (whatever the user types) is being transformed/converted into MathML format. This is about converting from one form/format to another.

Sense 1 seems most appropriate - it talks about changing from one system to another, and the example about converting voltage is similar in nature to converting input into a different format.

Sense 4 about converting dollars to pounds is also very similar - converting something from one form/format to another.
Sense 1 is the better fit since it explicitly addresses transformation between systems, which directly parallels the input-to-MathML conversion happening in kalgebra.


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

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

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

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

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

The context indicates that knowledge of MathML is "not necessary" to use kalgebra, meaning it is not "absolutely essential" or "required." This matches sense 1, which defines necessary as "absolutely essential." Sense 2, referring to inevitability determined by prior circumstances, does not fit the meaning in this context.

reasoning_content:
Let me analyze the context where "necessary" appears:

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

The sentence is saying that while the input is converted into MathML, you don't actually need to know MathML to use the software. So "necessary" here means "required" or "essential."

Let me examine the two candidate senses:

1. sense_key=necessary%3:00:00:: | definition=absolutely essential
   This sense means something that is absolutely required or essential.

2. sense_key=necessary%5:00:00:inevitable:00 | definition=unavoidably determined by prior circumstances | examples=the necessary consequences of one's actions
   This sense refers to something that is inevitable or determined by prior circumstances.

In the context, the author is saying that knowledge of MathML is not "necessary" - meaning it's not required or essential to use kalgebra. This matches sense 1 (absolutely essential) more closely than sense 2 (inevitable/determined by circumstances).

The word "necessary" in this context clearly means "required" or "essential" rather than "inevitable." So sense 1 is the correct choice.