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

[User]
Target lemma: window
Target surface form: window
Context:
Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main <t>window</t> kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab.

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

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

raw_output:
To determine the best indexed sense for the target word "window" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The passage discusses "kalgebra," a MathML-based graph calculator, and mentions its "main window." It describes the components of this main window, including various tabs like Console, 2D Graph, 3D Graph, and Dictionary.

2. **Understanding the Term "Window" in Context**: The term "window" here is related to the graphical user interface (GUI) of a computer application. The description implies that the "main window" of kalgebra is a part of its user interface that contains different sections or tabs.

3. **Examining Candidate Senses**:
   - Sense 1 refers to a physical framework for a windowpane.
   - Sense 2 is about a transparent opening in a vehicle.
   - Sense 3 pertains to a transparent panel in an envelope.
   - Sense 4 is a general description of an opening resembling a window.
   - Sense 5 refers to a time period considered optimal for an action.
   - Sense 6 is about a pane of glass.
   - Sense 7 describes an opening for serving customers.
   - Sense 8 is related to a rectangular part of a computer screen displaying different content.

4. **Relating Candidate Senses to the Context**: The context is clearly about a computer application and its GUI. Therefore, the relevant sense of "window" should be related to computing.

5. **Selecting the Best Indexed Sense**:
   - The description of "kalgebra main window" and its components (tabs for different functions) aligns with the concept of a GUI element in computer science.
   - **Sense 8** directly corresponds to this context, as it defines a "window" as "a rectangular part of a computer screen that contains a display different from the rest of the screen."

6. **Conclusion**: Based on the context and the definitions provided, the best indexed sense for "window" is **8**, which corresponds to the computer science definition of a window.

{"sense_index": 8}


attempt_kind: initial

status: success

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

[User]
Target lemma: main
Target surface form: main
Context:
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:
To determine the best indexed sense for the target word "main" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about describing the features of "kalgebra," a MathML-based graph calculator. It specifically mentions the "kalgebra main window" and describes its components, such as various tabs and an input field.

2. **Understanding the Target Word**: The word "main" is used to describe the "window" of the kalgebra application. The description implies that it is the primary or most important window associated with the application.

3. **Examining Candidate Senses**:
   - **Sense 1**: This sense defines "main" as the most important element, with synonyms like "chief," "primary," "principal," and "master." The example given is "the main doors were of solid glass," indicating something that is primary or of utmost importance.
   - **Sense 2**: This sense relates to a clause being capable of standing alone syntactically as a complete sentence, marked as "independent." The example is about the "main (or independent) clause in a complex sentence."
   - **Sense 3**: This defines "main" in terms of intensity or force, as in "by main strength," indicating the greatest possible intensity.

4. **Applying Context to Candidate Senses**:
   - The context is describing a software application's primary window. The term "main window" is commonly used in software to denote the primary or central window of an application.
   - **Sense 1** fits this context well because it describes something as the most important or primary element. In software terminology, the "main window" is the primary interface or window.
   - **Sense 2** is related to grammatical structures and does not fit the context of describing a software application's window.
   - **Sense 3** refers to intensity or force, which doesn't directly relate to the description of a software component like a window.

5. **Conclusion**: Based on the context and the analysis of the candidate senses, the most appropriate sense for "main" in "kalgebra main window" is the first sense, which denotes something as primary or of utmost importance.

Therefore, the best indexed sense for the target word "main" is: {"sense_index": 1}.

finish_reason: stop

role: assistant

currency: USD

source: unavailable


[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:
To determine the best indexed sense for the target word "window" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The passage discusses "kalgebra," a MathML-based graph calculator, and describes its main window, mentioning various tabs and an input field. This context is related to computer software and graphical user interfaces.

2. **Understanding the Candidate Senses**:
   - The candidate senses provided are definitions from WordNet, along with their corresponding sense keys and, in some cases, examples or synonyms.
   - Senses 1, 2, 4, 6, 7 relate to physical windows or openings in structures or vehicles.
   - Sense 5 refers to a time period considered optimal for an action.
   - Sense 3 is related to a transparent panel in an otherwise opaque material.
   - Sense 8 is related to a rectangular part of a computer screen displaying different content from the rest of the screen.

3. **Relating Candidate Senses to the Context**:
   - The context is about a software application and its graphical user interface, specifically mentioning the "main window" of "kalgebra."
   - The description includes elements typical of a graphical user interface (GUI), such as tabs and an input field.

4. **Selecting the Best Indexed Sense**:
   - Given the context is about a computer application and its GUI, the most relevant definition is related to computer science.
   - Sense 8 directly corresponds to this context, as it defines a "window" in the context of computer science.

5. **Identifying the Correct Sense Index**:
   - Sense 8 corresponds to the definition "(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen."
   - The sense index for this definition is 8, but we need to count the senses starting from 1 to identify the correct index.

The candidate senses are numbered starting from 1. Thus, counting them:
1. sense_key=window%1:06:00::
2. sense_key=window%1:06:01::
3. sense_key=window%1:06:02::
4. sense_key=window%1:17:00::
5. sense_key=window%1:28:00::
6. sense_key=window%1:06:04::
7. sense_key=window%1:06:05::
8. sense_key=window%1:06:03::

The correct sense is the 8th definition, which is indexed as 8.

Therefore, the best indexed sense for "window" in the given context is {"sense_index": 8}.


[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:
To determine the best indexed sense for the target word "consists" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The sentence where "consists" is used is: "kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab." The context is describing the composition or the components of the "kalgebra main window".

2. **Understanding the Candidate Senses**:
   - **Sense 1**: "originate (in)" with synonyms "dwell, lie, lie in". The example given is "The problems dwell in the social injustices in this country". This sense implies that something has its origin or basis in something else.
   - **Sense 2**: "have its essential character; be comprised or contained in; be embodied in". The examples are "The payment consists in food; What does love consist in?" This sense is about something being essentially characterized or embodied by something else.
   - **Sense 3**: "be consistent in form, tenor, or character; be congruous". The example is "Desires are to be satisfied only so far as consists with an approved end". This sense is about being in harmony or consistent with something.
   - **Sense 4**: "be composed of" with a synonym "comprise". The examples are "The land he conquered comprised several provinces; What does this dish consist of?" This sense is about something being made up or constituted by various parts or elements.

3. **Applying the Context to the Candidate Senses**:
   - The sentence is describing what the "kalgebra main window" is made of, listing its components (Console tab, 2D Graph tab, 3D Graph tab, and Dictionary tab).
   - **Sense 1** and **Sense 3** do not fit well because the context is not about the origin of something or being consistent with something.
   - **Sense 2** is a plausible interpretation because it talks about something being characterized or embodied by something else. However, the preposition "in" is used differently here, typically indicating the essence or fundamental nature rather than the physical or tangible components.
   - **Sense 4** directly corresponds to the context as it is about being composed of various elements. The sentence is listing the tabs that make up the "kalgebra main window".

4. **Choosing the Best Indexed Sense**:
   - The most appropriate sense is **Sense 4** because it directly relates to the composition of the "kalgebra main window". The sentence is describing what the window is made of, which aligns with "be composed of".

5. **Indexed Sense Selection**:
   - The candidate senses are indexed starting from 1. Thus, **Sense 4** corresponds to the index "4".

Therefore, the best indexed sense for "consists" in the given context 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: 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:
To determine the best indexed sense for the target word "Console" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about a software application called "kalgebra," described as a MathML-based graph calculator. The main window of kalgebra is mentioned to consist of several tabs, one of which is labeled "Console." The presence of other tabs like "2D Graph," "3D Graph," and "Dictionary" alongside an input field for typing functions or doing calculations suggests that "Console" is related to interacting with the application, possibly for inputting commands or viewing outputs.

2. **Candidate Senses Analysis**:
   - **Sense 1**: Refers to a "console table," a piece of furniture. This doesn't fit the context of a software application.
   - **Sense 2**: Describes 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 sense aligns well with the context of a software application where users interact with it through input and possibly view results.
   - **Sense 3**: Talks about an "ornamental scroll-shaped bracket," which is unrelated to the context of software or computing.
   - **Sense 4**: Refers to "housing for electronic instruments," which, while related to electronics, doesn't directly fit the context of a tab within a software application for user interaction.

3. **Choosing the Best Indexed Sense**:
   - The context clearly points towards a computing or software-related usage.
   - Sense 2 directly relates to computing and user interaction with a system, which matches the description of the "Console" tab in kalgebra being used alongside other functional tabs and an input field.

Given the analysis, the most appropriate sense for "Console" in this context is related to a user interface component for interacting with the kalgebra application, which aligns with **Sense 2**.

Therefore, the best indexed sense 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: 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}.

raw_output:
To determine the best indexed sense for the target word "3D" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The context is about a software application called "kalgebra" that is described as a MathML-based graph calculator. It mentions different tabs in the application's main window, including a "3D Graph tab". The context is clearly about graphical representation and mathematical functions.

2. **Understanding the Candidate Senses**:
   - **Sense 1**: Refers to a movie with images having three-dimensional form or appearance. The synonym provided is "three-D".
   - **Sense 2**: Describes something having a three-dimensional form or appearance. The synonym is also "three-D", and an example is given as "aren't dreams always in 3-D?".

3. **Analyzing the Context and Candidate Senses**:
   - The context is not about movies but about graphical representation in a mathematical or calculator software. Thus, the direct reference to movies in **Sense 1** makes it less likely to be the correct interpretation.
   - **Sense 2** talks about having a three-dimensional form or appearance, which aligns with the concept of a "3D Graph" in the context. The example given ("aren't dreams always in 3-D?") illustrates a non-cinematic use of "3D", referring to the general concept of three-dimensional representation.

4. **Making the Choice**:
   - Given that the context is about graphical representation and not specifically about movies, **Sense 2** is more appropriate. It correctly captures the essence of "3D" as referring to three-dimensional graphical representation.

5. **Indexed Sense Selection**:
   - The candidate senses are indexed as 1 and 2. Based on the analysis, **Sense 2** is the correct choice.

The response, following the required format, 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: 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:
To determine the best indexed sense for "Below" in the given context, let's analyze the sentence and the provided candidate senses.

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

Here, "Below" is used to indicate a physical or spatial relationship between "these tabs" and "an input field." The context suggests that the input field is located in a position that is lower than the tabs, likely on a screen or interface.

Let's examine the candidate senses:

1. The first sense defines "below" as "in or to a place that is lower" with synonyms like "at a lower place," "to a lower place," and "beneath." This sense fits the context as it describes a spatial relationship where something is located lower than something else.

2. The second sense refers to "at a later place," often used in the context of text or a document, as in "see below." This doesn't directly apply to the spatial arrangement on a screen.

3. The third sense is related to "(in writing) see below" with a synonym "infra." This is more about referencing something later in a text.

4. The fourth sense is "on a floor below" with synonyms like "downstairs," "down the stairs," and "on a lower floor." This is more specific to physical buildings and floors.

5. The fifth sense is "further down" with a synonym "under," and an example "see under for further discussion." While it can imply a lower position, it's often used in the context of text or further discussion.

Given the context, the use of "Below" here is best described by the first sense, as it indicates that the input field is spatially located lower than the tabs on the screen or interface.

Therefore, the best indexed sense for "Below" in this context is the first one.

{"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: 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}.

raw_output:
To determine the best indexed sense for the target word "find" in the given context, let's analyze the sentence and the provided candidate senses.

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

Here, "find" is used in the context of encountering or coming upon something, in this case, an input field, as one navigates through the interface described.

Let's examine the candidate senses:

1. come upon, as if by accident; meet with - This sense fits the context as it implies encountering something.
2. discover or determine the existence, presence, or fact of - While this could potentially fit, it implies a more active discovery or investigation.
3. come upon after searching; find the location of something that was missed or lost - This implies a search, which isn't directly indicated in the context.
4. establish after a calculation, investigation, experiment, survey, or study - This is more about determining something through a process, not directly relevant.
5. come to believe on the basis of emotion, intuitions, or indefinite grounds - Not relevant to the context of encountering an interface element.
6. perceive or be contemporaneous with - This doesn't directly apply to the context of finding an input field.
7. get something or somebody for a specific purpose - This implies obtaining something for a reason, not exactly the same as encountering it.
8. make a discovery, make a new finding - This is more about discovering something new or significant, not just encountering an element.
9. make a discovery - Similar to 8, it implies a level of significance or novelty.
10. obtain through effort or management - This implies achieving something through effort, not directly relevant.
11. decide on and make a declaration about - Not relevant to the context.
12. receive a specified treatment (abstract) - Not directly relevant.
13. perceive oneself to be in a certain condition or place - Not relevant to the context of encountering an interface element.
14. get or find back; recover the use of - Implies recovering something lost or regaining a capability.
15. succeed in reaching; arrive at - While this could fit in a broad sense, it's more about achieving a target.
16. accept and make use of one's personality, abilities, and situation - Not relevant to the context.

The most fitting sense here is "come upon, as if by accident; meet with" because it involves encountering something (in this case, an input field) as one navigates the described interface. The user doesn't necessarily search for the input field; they come upon it as they look below the tabs.

{"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: 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:
To determine the best indexed sense for the target word "type" in the given context, let's analyze the provided information.

The context is about kalgebra, a MathML based graph calculator, and its functionality. The sentence where "type" appears is: "Below these tabs you will find an input field to <t>type</t> your functions or do your calculations."

The candidate senses are:
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

Let's examine the context and the candidate senses:
- The context involves an input field where users are expected to input their functions or perform calculations. This implies an action related to using a keyboard to input text or commands.
- The first candidate sense (1) is defined as "write by means of a keyboard with types," with a synonym "typewrite" and an example "type the acceptance letter, please." This sense aligns with the action of using a keyboard to input text.
- The second candidate sense (2) is about identifying something as belonging to a certain type, with a synonym "typecast." This doesn't directly relate to the action described in the context.

Given the context and the definitions, the action described in the sentence ("to type your functions or do your calculations") matches the first sense, as it involves writing or inputting using a keyboard.

Therefore, the best indexed sense for "type" in this context is the first one.

{"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:
To determine the best indexed sense for the target word "functions" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The passage discusses "kalgebra," a MathML-based graph calculator, and its features. It mentions that the input field is used to type "functions" or perform calculations, and that the input is converted into MathML.

2. **Understanding the Target Word**: The word "functions" is used in the context of a mathematical or graphical input.

3. **Examining Candidate Senses**:
   - **1. mathematical function**: Refers to a mathematical relation where each element of a given set is associated with an element of another set. This is relevant to the context of a graph calculator.
   - **2. purpose or use**: Relates to what something is used for. While relevant in a broad sense, it's not directly related to the mathematical context.
   - **3. role or office**: Pertains to the actions or activities assigned to a person or group, not directly relevant to the context of mathematical input.
   - **4. dependent relation**: Describes a relation where one thing depends on another. While this can be related to mathematical functions, it's broader and not as directly related to the specific context as sense 1.
   - **5. formal social gathering**: Not relevant to the context.
   - **6. vaguely specified social event**: Also not relevant.
   - **7. computer subroutine**: Refers to a set sequence of steps in a computer program. While kalgebra is a computer program, the context specifically highlights the mathematical aspect of "functions" rather than programming subroutines.

4. **Choosing the Best Sense**:
   - The context is about a graph calculator and typing "functions" or doing calculations, indicating a strong mathematical context.
   - Sense 1 (mathematical function) directly corresponds to this context, as it involves mathematical relations.
   - The other senses either relate to non-mathematical contexts or are less directly related to the specific use of "functions" in a graph calculator.

5. **Conclusion**: The most appropriate sense for "functions" in the given context is the mathematical function, which corresponds to sense index 1.

{"sense_index": 1}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "do" in the given context, let's analyze the sentence and the provided candidate senses.

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

Here, "do" is used in the context of performing or executing calculations, which is related to mathematical operations.

Let's examine the candidate senses:

1. engage in - While "do" can mean "engage in," the phrase "do your calculations" is more about executing or performing calculations rather than just engaging in them.
2. carry out or perform an action - This sense fits well because "do your calculations" implies performing or executing the action of calculating.
3. get (something) done - This sense is also plausible as it implies completing or performing the task of calculations.
4. proceed or get along - This doesn't fit well as it relates more to progressing or managing in a situation, not directly to performing calculations.
5. give rise to; cause to happen or occur - This doesn't directly relate to the context of performing calculations.
6. carry out or practice; as of jobs and professions - While related to performing actions, it's more about professions or jobs, which isn't the direct context here.
7. be sufficient; be adequate - This doesn't fit the context of performing calculations.
8. create or design, often in a certain way - This is not directly related to the act of doing calculations.
9. behave in a certain manner - This doesn't fit as it's about behavior, not performing tasks like calculations.
10. spend time in prison or in a labor camp - This is unrelated to the context.
11. carry on or function - While somewhat related, it's broader than the specific action of doing calculations.
12. arrange attractively - This is unrelated to the context of calculations.
13. travel or traverse (a distance) - This doesn't fit the context.

Given the context and the examples, "do your calculations" is most closely related to "carry out or perform an action" (sense 2) or "get (something) done" (sense 3). Between these, "carry out or perform an action" is a better fit because it directly relates to executing or performing the action of calculations.

The best indexed sense for "do" in this context is therefore sense 2: "carry out or perform an action."

{"sense_index": 2}


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

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

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

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

raw_output:
To determine the best indexed sense for the target word "calculations" in the given context, let's analyze the provided information step by step.

1. **Context Analysis**: The passage discusses "kalgebra," a MathML-based graph calculator, and its features. It mentions an input field where users can type their functions or do their "calculations." The context is about mathematical operations and using a software tool for such purposes.

2. **Candidate Senses Analysis**:
   - **Sense 1**: "the procedure of calculating; determining something by mathematical or logical methods." Synonyms include "computation" and "computing." This sense is related to the process of performing mathematical or logical operations.
   - **Sense 2**: "problem solving that involves numbers or quantities." Synonyms are "computation," "figuring," and "reckoning." This definition directly relates to mathematical problem-solving.
   - **Sense 3**: "planning something carefully and intentionally." The synonym given is "deliberation," with an example indicating a thoughtful and premeditated action. This sense is more about careful planning rather than mathematical operations.

3. **Applying Context to Candidate Senses**:
   - The context is about a mathematical tool and performing mathematical operations or "calculations" within it.
   - Both Sense 1 and Sense 2 relate to mathematical or computational processes. Sense 1 focuses on the procedure of calculating, while Sense 2 emphasizes problem-solving involving numbers or quantities.
   - The term "calculations" in the context is associated with an input field where users can perform mathematical operations, suggesting it's about either the procedure of calculating or problem-solving involving numbers.

4. **Choosing the Best Indexed Sense**:
   - Sense 1 and Sense 2 are both plausible because they relate to mathematical or computational contexts. However, Sense 2 ("problem solving that involves numbers or quantities") is more directly related to the act of doing "calculations" as it implies solving mathematical problems.
   - Sense 3 is less relevant as it pertains to planning rather than mathematical operations.

5. **Decision**:
   - Given the context is about performing mathematical operations or "calculations" in a software tool designed for mathematical graphing and calculation, **Sense 2** is the most appropriate. It directly relates to the idea of solving mathematical problems or performing calculations.

Therefore, the best indexed sense for "calculations" in the given context is Sense 2.

{"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: 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:
To determine the best indexed sense for the target word "want" in the given context, let's analyze the sentence and the provided candidate senses.

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."

Here, "want" is used in the context of desiring or wishing to understand something. The subject is "we," and the action is "to understand how it works." The use of "want" indicates a desire or intention to comprehend the functioning of something.

Let's examine the candidate senses:

1. The first sense is defined as "feel or have a desire for; want strongly" with synonyms like "desire." The example given is "I want to go home now; I want my own room." This sense aligns with the context of desiring or wishing to do something, in this case, understanding how something works.

2. The second sense is "have need of" with synonyms "need, require." An example is "This piano wants the attention of a competent tuner." While this could potentially fit in some contexts related to needing something, it doesn't perfectly match the desire or intention expressed in the given sentence.

3. The third sense involves "hunt or look for; want for a particular reason" with examples like "Your former neighbor is wanted by the FBI; Uncle Sam wants you." This sense implies a more specific or urgent kind of wanting, often related to searching for someone or something.

4. The fourth sense is "wish or demand the presence of" as in "I want you here at noon!" This implies a more direct command or wish for someone's presence.

5. The fifth sense is "be without, lack; be deficient in" with examples like "want courtesy; want the strength to go on living." This sense is about lacking something.

Given the context, the use of "want" is most closely aligned with the first sense, as it expresses a desire to understand how something works. The sentence is about having the desire or intention to do something (understand how it works), which matches the definition and examples provided for the first sense.

Therefore, the best indexed sense for "want" in the given context is the first one.

{"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: 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:
To determine the best indexed sense for the target word "understand" in the given context, let's analyze the context and the provided candidate senses.

The context is about explaining how a software tool, kalgebra, works and how users can interact with it. The sentence with the target word 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."

1. The first sense is defined as "know and comprehend the nature or meaning of." The examples given are "She did not understand her husband; I understand what she means." This sense involves comprehending the nature or meaning of something or someone. The context requires understanding how kalgebra works, which aligns with comprehending its nature or functionality.

2. The second sense is "perceive (an idea or situation) mentally" with synonyms "realize, realise, see." The examples are "Now I see!; I just can't see your point." This sense is about mentally grasping an idea or situation. The context implies that to understand how kalgebra works, one needs to mentally grasp or perceive its functionality.

3. The third sense is "make sense of a language" with synonyms "read, interpret, translate." The examples given are "She understands French; Can you read Greek?" This involves understanding a language, which is not directly relevant to the context of understanding how kalgebra works.

4. The fourth sense is "believe to be the case" with the synonym "infer." The example is "I understand you have no previous experience?" This involves making an inference or believing something to be true based on available information. The context does not directly imply making an inference about something being the case.

5. The fifth sense is "be understanding of" with synonyms "sympathize, sympathise, empathize, empathise." The example is "You don't need to explain--I understand!" This involves being empathetic or sympathetic towards someone or something. The context is not about being understanding or empathetic.

Given the context, the target word "understand" is used in the sense of comprehending how kalgebra works. Both the first and second senses seem relevant as they involve comprehension and mental perception. However, the second sense ("perceive (an idea or situation) mentally") is more closely aligned with the context because "realize" is used in the same sentence, reinforcing the idea of mentally grasping how kalgebra functions.

Therefore, the best indexed sense for "understand" in this context is the second sense.

{"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: 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:
To determine the best indexed sense for the target word "works" in the given context, let's analyze the sentence and the provided candidate senses.

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."

The context is about understanding the functioning of a software application, specifically how user input is processed.

Let's examine the relevant candidate senses:

- Sense 1 refers to exerting oneself for a purpose, which doesn't fit the context.
- Sense 3 is about having an effect or outcome, which is somewhat relevant but not directly related to the functioning of a system or application.
- Sense 4, "perform as expected when applied," directly relates to how a machine or system operates, with synonyms like "function," "operate," "go," and "run." The example "The washing machine won't go unless it's plugged in" illustrates a similar context of a device functioning.

Given the context is about understanding how a software application functions or operates, Sense 4 ("perform as expected when applied") is the most relevant. It aligns with the idea of understanding how the application "works" in terms of its operational behavior.

Therefore, the best indexed sense for "works" in this context is Sense 4.

{"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:
To determine the best sense for the word "best" in the given context, let's analyze the sentence and the provided candidate senses.

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."

Here, "best" is used to describe the thing that can be done to understand how something works. The context suggests that "best" refers to the most advisable or sensible action.

Let's examine the candidate senses:

1. Having the most positive qualities - This could apply, but it's more general.
2. Wiser or more advantageous and hence advisable - This matches the context well, as it implies the most sensible or advisable action.
3. Having desirable or positive qualities - This is too broad and doesn't directly convey the idea of being advisable.

Given the context and the examples provided for the candidate senses, the most suitable definition for "best" in this context is "wiser or more advantageous and hence advisable," which corresponds to sense 2.

Therefore, the best indexed sense for "best" in the given context is 2.

{"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: 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:
To determine the best indexed sense for the target word "thing" in the given context, let's analyze the sentence and the provided candidate senses.

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

Here, "thing" refers to an action or a course of action that can be taken to understand how something works. The sentence implies that there is an optimal action ("the best thing") that can be done.

Let's examine the candidate senses:

1. A special situation - The context doesn't describe a situation but rather an action to be taken.
2. An action - This seems plausible as "thing" refers to an action ("do") that one can take.
3. A special abstraction - While "thing" is abstract here, this sense is less directly related to the context of taking an action.
4. An artifact - The context doesn't refer to a physical or tangible object.
5. An event - The context is about understanding a process, not describing an event that happened.
6. A vaguely specified concern - The context is more about an action than a concern or matter.
7. A statement regarded as an object - The "thing" here isn't a statement but an action.
8. An entity that is not named specifically - While "thing" is not specific, it refers to an action, not just any entity.
9. Any attribute or quality considered as having its own existence - The context doesn't discuss an attribute or quality.
10. A special objective - The "thing" to do is more about an action to achieve understanding rather than the objective itself.
11. A persistent illogical feeling of desire or aversion - The context doesn't involve feelings or desires.
12. A separate and self-contained entity - The "thing" is an action, not an entity in the sense implied here.

Given the context and the examples provided for the candidate senses, the most appropriate sense is "an action" because "thing" refers to the action of realizing how something works.

The best matching sense is: 2. sense_key=thing%1:04:00:: | definition=an action | examples=how could you do such a thing?

Therefore, the JSON response should be based on the index of this sense.

{"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:
To determine the best indexed sense for the target word "do" in the given context, let's analyze the sentence and the provided candidate senses.

The context is: "Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML."

The first occurrence of "do" is in the phrase "do your calculations." Here, "do" is related to performing or carrying out calculations, which aligns with the sense of "carry out or perform an action."

The second occurrence of "do" is in the phrase "the best thing we can do." This suggests an action or activity that one can perform or execute to achieve understanding.

Let's examine the candidate senses:

1. engage in - While "do your calculations" could be seen as engaging in an activity, the primary sense here is more about performing or executing an action.
2. carry out or perform an action - This sense fits well with both occurrences of "do" as it involves performing calculations and executing an action to understand how something works.
3. get (something) done - This could apply to "do your calculations" as it implies completing or performing the task of calculations.
4. proceed or get along - This doesn't directly fit the context of performing calculations or understanding how something works.
5. give rise to; cause to happen or occur - This doesn't directly apply to the context provided.
6. carry out or practice; as of jobs and professions - While related, this is more specific to professions or jobs, which isn't the direct context here.
7. be sufficient; be adequate - This doesn't fit the context of the sentence.
8. create or design, often in a certain way - This doesn't directly apply to performing calculations or understanding a process.
9. behave in a certain manner - This doesn't fit the context.
10. spend time in prison or in a labor camp - This is unrelated to the context.
11. carry on or function - While somewhat related, it's not the most direct fit for performing calculations or executing an action to understand something.
12. arrange attractively - This doesn't apply to the context.
13. travel or traverse (a distance) - This is unrelated to the context.

For the first "do" in "do your calculations," sense 3 ("get (something) done") is a plausible choice because it involves completing the task of calculations.

For the second "do" in "the best thing we can do," sense 2 ("carry out or perform an action") is suitable as it involves performing an action (realizing how the input is converted into MathML) to understand how it works.

However, upon closer inspection, both instances of "do" can be best represented by sense 3 ("get (something) done") because they both involve achieving or completing a task or action (doing calculations and doing the action of realizing how the input is converted).

Therefore, the best indexed sense for the target word "do" in the given context is 3.

{"sense_index": 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: 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:
To determine the best indexed sense for the target word "realize" in the given context, let's analyze the sentence and the provided candidate senses.

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."

Here, "realize" is used in the context of understanding or becoming aware of a fact or situation related to how a software or system works.

Let's examine the candidate senses:

1. The first sense is "be fully aware or cognizant of" with synonyms like "recognize" and "understand". This sense fits the context as it involves becoming aware of the fact that the input is being converted into MathML.

2. The second sense is "perceive (an idea or situation) mentally" with synonyms like "understand" and "see". This is also a plausible interpretation as it involves mentally perceiving or grasping an idea or situation.

3. The third sense involves "making real or concrete" something, which doesn't directly fit the context of simply understanding or being aware of a fact.

4. The fourth and fifth senses relate to earning money or converting goods into cash, which is unrelated to the context.

5. The sixth sense is specific to music and involves expanding or completing a part in a piece of baroque music, which is also unrelated to the context.

Given the context, both the first and second senses seem plausible because they both relate to becoming aware or understanding something. However, the first sense ("be fully aware or cognizant of") is more directly related to the act of recognizing a fact or situation, which aligns with the sentence's intent.

Therefore, the best indexed sense for "realize" in this context is the first one.

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

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

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

raw_output:
To determine the best indexed sense for the target word "converted" in the given context, let's analyze the sentence and the provided candidate senses.

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."

Here, "converted" refers to the process of changing the input ( likely mathematical expressions or functions) into MathML, a markup language for mathematical expressions.

Let's examine the candidate senses:

1. Change from one system to another or to a new plan or policy. (e.g., "We converted from 220 to 110 Volt")
   - This sense involves changing from one system to another, which could apply to changing the representation of mathematical expressions.

2. Change the nature, purpose, or function of something. (e.g., "convert lead into gold; convert hotels into jails")
   - This involves a more fundamental change in the nature or purpose of something.

3. Change religious beliefs, or adopt a religious belief. (e.g., "She converted to Buddhism")
   - This is specific to religious beliefs and does not apply to the context.

4. Exchange or replace with another, usually of the same kind or category. (e.g., "Could you convert my dollars into pounds?; He changed his name")
   - This involves exchanging one thing for another of the same kind, which can include changing the representation or format.

5. Cause to adopt a new or different faith. (e.g., "The missionaries converted the Indian population")
   - Similar to sense 3, this is about changing religious faith, not applicable here.

6-9. These senses relate to scoring in sports, which is not relevant to the context.

10. Exchange a penalty for a less severe one. (e.g., "commute, exchange")
    - Not relevant to the context.

11. Change in nature, purpose, or function; undergo a chemical change. (e.g., "The substance converts to an acid")
    - This involves a change in the inherent nature or a chemical reaction, not directly applicable to changing the format of input into MathML.

Given the context, the most relevant sense is changing the representation or format of the input into MathML. Senses 1 and 4 both seem plausible as they involve changing from one system or representation to another. However, sense 4 ("exchange or replace with another, usually of the same kind or category") is more directly related to the idea of changing the representation or format of something (in this case, mathematical input) into another form (MathML), which is of the same kind (a representation of mathematical expressions).

Therefore, the best indexed sense for "converted" in this context is sense 4.

{"sense_index": 4}