[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: define
Target surface form: define
Context:
: =: It is used to define a variable value.?: Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to <t>define</t> a container. Mainly useful for working with piecewise.

Candidate senses:
1. sense_key=define%2:42:00:: | definition=determine the essential quality of | synonyms=specify, delineate, delimit, delimitate
2. sense_key=define%2:32:00:: | definition=give a definition for the meaning of a word | examples=Define `sadness'
3. sense_key=define%2:42:01:: | definition=determine the nature of | examples=What defines a good wine?
4. sense_key=define%2:42:03:: | definition=show the form or outline of | synonyms=delineate | examples=The tree was clearly defined by the light; The camera could define the smallest object
5. sense_key=define%2:32:01:: | definition=decide upon or fix definitely | synonyms=specify, set, determine, fix, limit | examples=fix the variables; specify the parameters

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation (WSD) on the word "define" in a specific context.

 Context analysis:
 The context is about programming/mathematical notation in KAlgebra. The sentence is: "{}: MathML container. It can be used to <t>define</t> a container. Mainly useful for working with piecewise."

 The word "define" here means to specify, set, or establish what something is or how it behaves. In programming contexts, "define" often means to specify or set the properties/behavior of something.

 Let's look at the candidate senses:

 1. sense_key=define%2:42:00:: | definition=determine the essential quality of | synonyms=specify, delineate, delimit, delimitate
    - This seems to be about determining intrinsic qualities.

 2. sense_key=define%2:32:00:: | definition=give a definition for the meaning of a word | examples=Define `sadness'
    - This is about defining words/linguistic meanings. Not applicable here.

 3. sense_key=define%2:42:01:: | definition=determine the nature of | examples=What defines a good wine?
    - This is about what constitutes or makes something what it is (characteristic determination).

 4. sense_key=define%2:42:03:: | definition=show the form or outline of | synonyms=delineate | examples=The tree was clearly defined by the light; The camera could define the smallest object
    - This is about visual delineation/outlining. Not applicable.

 5. sense_key=define%2:32:01:: | definition=decide upon or fix definitely | synonyms=specify, set, determine, fix, limit | examples=fix the variables; specify the parameters
    - This is about setting or specifying parameters, variables, or values definitely.

 Context analysis:
 - "It can be used to define a container" - referring to MathML container syntax {}
 - In programming/documentation contexts, "define" here means to specify, set up, or establish the container.
 - The synonyms for sense 5 include "specify, set, determine, fix, limit" and examples include "fix the variables; specify the parameters"
 - This matches the context of defining/specifying a container in a programming/mathematical context.

 Sense 1 (determine the essential quality of) is close but more abstract/philosophical.
 Sense 5 (decide upon or fix definitely) fits better with the technical/programming context of setting up or specifying a container structure.

 However, looking at the context again: "It can be used to define a container" - this is about specifying what the container is or establishing it.

 Actually, looking carefully at the senses:
 - Sense 1: determine the essential quality of (like "What defines courage?")
 - Sense 5: decide upon or fix definitely (like "define the parameters")

 In programming contexts when we say "define a variable" or "define a container", we typically mean sense 5 - we are specifying or setting it up definitely. The examples "fix the variables; specify the parameters" strongly suggest this is the right sense for defining a container in a programming context.

 Wait, let me reconsider sense 1 vs sense 5:
 - Sense 1: determine the essential quality of - this is about establishing the fundamental nature/characteristics
 - Sense 5: decide upon or fix definitely - this is about setting or specifying concretely

 In the context: "{}: MathML container. It can be used to define a container."
 This is saying that the {} syntax is used to specify/create/establish a container. This aligns with "decide upon or fix definitely" - you're specifying what the container is.

 Also, looking at the first sentence in the context: "It is used to define a variable value." This clearly aligns with sense 5 (fixing/specifying a value).

 The piecewise context also suggests setting up conditions.

 Therefore, sense 5 (index 5) seems to be the best fit.

 But wait, I need to check the sense indices. The user lists:
 1. sense_key=define%2:42:00::
 2. sense_key=define%2:32:00::
 3. sense_key=define%2:42:01::
 4. sense_key=define%2:42:03::
 5. sense_key=define%2:32:01::

 So sense 5 is the one with "decide upon or fix definitely".

 Actually, looking at WordNet:
 - define%2:42:00:: is likely the "determine the essential quality of" sense
 - define%2:32:00:: is likely the "give a definition" sense (linguistic)
 - define%2:42:01:: might be "determine the nature of"
 - define%2:42:03:: is "show the form or outline of"
 - define%2:32:01:: is "decide upon or fix definitely"

 In the context of programming/documentation: "define a container" means to specify or set up the container. This matches sense 5.

 However, I should double-check if sense 1 could fit. "Determine the essential quality of" - when we define a container in MathML, are we determining its essential quality? Or are we specifying/fixing its structure?

 In computer science/programming, "define" typically maps to sense 5 (specify/fix definitely) rather than sense 1 (determine essential quality). The examples in sense 5 ("fix the variables; specify the parameters") are very close to the context of defining a container or variable.

 Therefore, the answer should be sense_index: 5.

 Wait, I need to make sure about the indexing. The user lists them as:
 1. ...
 2. ...
 3. ...
 4. ...
 5. ...

 So I should return {"sense_index": 5}.

 Let me verify once more:
 - Context: technical documentation about KAlgebra/MathML
 - "define a container" - means to specify/establish what the container is
 - Sense 5: "decide upon or fix definitely" with synonyms "specify, set, determine, fix, limit" and examples "fix the variables; specify the parameters"
 - This is a perfect match.

 Sense 1 is more about "What defines a good wine?" - intrinsic characteristics.
 Sense 5 is more about "Define the parameters" - explicit specification.

 The context is clearly about explicit specification in a technical setting.

 Final answer: {"sense_index": 5}


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: useful
Target surface form: useful
Context:
?: Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly <t>useful</t> for working with piecewise. Now you could ask me, why should the user mind about MathML?

Candidate senses:
1. sense_key=useful%3:00:00:: | definition=being of use or service | synonyms=utile | examples=the girl felt motherly and useful; a useful job
2. sense_key=useful%5:00:00:functional:00 | definition=having a useful function | synonyms=utilitarian | examples=utilitarian steel tables

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

finish_reason: stop

role: assistant

reasoning_content:
 The user wants me to perform Word Sense Disambiguation for the word "useful" in the given context.

 Context analysis:
 - The text is about KAlgebra (a mathematical software) and MathML.
 - The specific sentence is: "{}: MathML container. It can be used to define a container. Mainly <t>useful</t> for working with piecewise."
 - The word "useful" here describes the MathML container's utility or serviceability for working with piecewise functions/definitions.

 Candidate senses:
 1. sense_key=useful%3:00:00:: | definition=being of use or service | synonyms=utile | examples=the girl felt motherly and useful; a useful job
 2. sense_key=useful%5:00:00:functional:00 | definition=having a useful function | synonyms=utilitarian | examples=utilitarian steel tables

 Analysis:
 - Sense 1 (useful%3:00:00::) is the general sense of "being of use or service" - this is the most common usage.
 - Sense 2 (useful%5:00:00:functional:00) is more specific, relating to having a useful function, with synonyms like "utilitarian".

 In the context:
 - The MathML container is described as "Mainly useful for working with piecewise."
 - This means it is of use or service for that specific purpose.
 - The distinction between sense 1 and sense 2:
   - Sense 1 is the general adjective meaning "being of use or service"
   - Sense 2 seems to be a satellite adjective (indicated by the 5 in the sense key) related to "functional", emphasizing having a practical function or utilitarian purpose.

 Looking at the examples:
 - Sense 1 examples: "the girl felt motherly and useful", "a useful job" - general utility
 - Sense 2 examples: "utilitarian steel tables" - emphasizes functional/practical utility

 In the given context, "useful" means that the MathML container is of service or benefit for working with piecewise definitions. It's the general sense of being helpful or beneficial.

 However, I need to check if sense 2 applies. Sense 2 is "having a useful function" - this could apply to a software component like a MathML container. But the phrase "Mainly useful for..." typically aligns with sense 1 (being of use or service for a particular purpose).

 Actually, looking at WordNet structure:
 - useful%3:00:00:: is the main sense (adjective)
 - useful%5:00:00:functional:00 is a satellite sense (adjective satellite) under similar to "functional"

 The context describes a technical feature (MathML container) being beneficial for a specific technical task (working with piecewise). Both could potentially fit, but sense 1 is the broader, more general sense that fits "being of use for [purpose]".

 The phrase "Mainly useful for..." is a very standard construction using the primary sense of useful (being of use or service).

 Sense 2 with "utilitarian" connotes something designed to be practical rather than attractive, or serving a specific functional purpose. While a MathML container is functional, the phrase "useful for working with" strongly suggests the general "being of use or service" meaning.

 Therefore, sense 1 (index 1) is the best choice.

 Wait, I need to check the sense indices. The user lists:
 1. sense_key=useful%3:00:00:: ...
 2. sense_key=useful%5:00:00:functional:00 ...

 So the indices are 1 and 2.

 I should choose index 1.

 Let me double-check:
 - "Mainly useful for working with piecewise" - means it is of service/utility for that task.
 - This matches "being of use or service" (sense 1).
 - Sense 2 "having a useful function" with synonym "utilitarian" is more about the nature of the object being strictly functional/practical. While the container is functional, the phrase "useful for" is about the benefit it provides to the user, not about its utilitarian nature vs decorative nature.

 Therefore, the answer is {"sense_index": 1}.

format: unknown

native_finish_reason: stop

provider: Phala

currency: USD


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

[User]
Target lemma: work
Target surface form: working
Context:
?: Piecewise condition definition. Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for <t>working</t> with piecewise. Now you could ask me, why should the user mind about MathML?

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

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

reasoning_content:
 The user wants me to perform Word Sense Disambiguation on the word "working" in the given context.

Context analysis:
The text is about "kalgebra" (likely a mathematical software or system) and MathML. The specific sentence is:
"Mainly useful for <t>working</t> with piecewise."

The sentence discusses using MathML containers to work with "piecewise" (which refers to piecewise functions or conditions in mathematics).

Let me look at the candidate senses:

1. work%2:41:02:: - exert oneself by doing mental or physical work for a purpose - This is general "working hard" sense.
2. work%2:41:00:: - be employed - "Is your husband working?" - Not relevant here.
3. work%2:41:03:: - have an effect or outcome - "The voting process doesn't work" - Not quite right.
4. work%2:35:02:: - perform as expected when applied (function, operate) - "The washing machine won't go" - This could be close, but "working with" suggests interaction.
5. work%2:36:00:: - shape, form, or improve a material - physical manipulation, not right.
6. work%2:29:00:: - give a workout to - exercise sense, not right.
7. work%2:38:00:: - proceed along a path - "work one's way through" - not quite.
8. work%2:41:04:: - operate in a certain place, area, or specialty - "She works the night clubs" - This is about working in a location/area.
9. work%2:41:05:: - proceed towards a goal or along a path or through an activity - "work your way through every problem" - This could fit "working with piecewise" as handling/processing.
10. work%2:38:02:: - move in an agitated manner - not relevant.
11. work%2:36:01:: - cause to happen or to occur as a consequence - not relevant.
12. work%2:41:01:: - cause to work - "he is working his servants" - causative, not right.
13. work%2:36:09:: - prepare for crops - agricultural, not right.
14. work%2:42:10:: - behave in a certain way when handled - "This dough does not work easily" - not right.
15. work%2:41:10:: - have and exert influence or effect - "She worked on her friends" - could be close but usually implies persuasion.
16. work%2:41:11:: - operate in or through - "Work the phones" - this is about using/operating something.
17. work%2:41:12:: - cause to operate or function - "This pilot works the controls" - manipulating controls.
18. work%2:39:10:: - provoke or excite - not relevant.
19. work%2:37:10:: - gratify and charm - not relevant.
20. work%2:36:12:: - make something, usually for a specific function - shaping/forming.
21. work%2:35:14:: - move into or onto - "work the raisins into the dough" - incorporating/mixing.
22. work%2:35:00:: - make uniform (knead) - physical manipulation.
23. work%2:34:10:: - use or manipulate to one's advantage - "work the system" - exploiting.
24. work%2:31:13:: - find the solution to - solving.
25. work%2:30:14:: - cause to undergo fermentation - not relevant.
26. work%2:30:13:: - go sour or spoil - not relevant.
27. work%2:30:10:: - arrive at a certain condition through repeated motion - not relevant.

Now, looking closely at "working with piecewise" - this means using, handling, or manipulating piecewise conditions/functions in the kalgebra system.

Sense 8: operate in a certain place, area, or specialty - "works the night clubs" - this implies working in a specific domain or with specific tools/materials.

Sense 9: proceed towards a goal or along a path or through an activity - "working on her second martini" - this is about engaging in an activity.

Sense 16: operate in or through - "Work the phones" - using a medium.

Sense 17: cause to operate or function - manipulating controls to make something work.

But actually, looking at the phrase "working with" - this is often used to mean "using" or "manipulating" or "handling".

Let me reconsider sense 1: exert oneself by doing mental or physical work for a purpose - "working with piecewise" could mean engaging in the activity of using piecewise definitions.

But sense 8 (work%2:41:04) seems promising: "operate in a certain place, area, or specialty" - examples: "She works the night clubs", "The salesman works the Midwest". This is about working within a specific domain or with specific subject matter.

Actually, looking at the context: "Mainly useful for working with piecewise." This means the MathML container is useful for when you are using/handling/dealing with piecewise conditions.

Sense 9 (work%2:41:05): "proceed towards a goal or along a path or through an activity" - examples include "work your way through every problem or task". This captures the sense of engaging in an activity involving something.

But I think sense 8 is more about working in a location or area (like a sales territory), not quite right.

Sense 23 (work%2:34:10): "use or manipulate to one's advantage" - "work the system". This is close but has a connotation of exploitation.

Sense 1 seems too general (exerting oneself).

Let me look at "work with" as a phrasal verb. In computing/mathematical contexts, "work with" usually means to use, handle, or manipulate data/structures.

Looking at the WordNet senses again:

Sense 8: operate in a certain place, area, or specialty - This could apply to working with a specific type of mathematical object (piecewise functions) as a specialty/area.

Sense 16: operate in or through - "Work the phones" - using a medium.

Sense 17: cause to operate or function - manipulating to make function.

Actually, looking at the gloss for sense 8: "operate in a certain place, area, or specialty" - the example "She works the night clubs" suggests she performs her work in that venue. "The salesman works the Midwest" - operates in that region.

But "working with piecewise" is about the object being manipulated, not the location.

Sense 5: shape, form, or improve a material - "work stone into tools" - this is physical crafting.

Sense 21: move into or onto - "work the raisins into the dough" - this is about incorporating.

Sense 22: make uniform - "work the clay" - kneading.

Sense 36:00 (index 5) is about material work.

Wait, I need to look at the sense indices. The user provided the senses with numbers 1-27, but these might not correspond to the WordNet sense keys directly? No, the numbers are just list indices.

Let me map the list numbers to the sense keys:

1. work%2:41:02::
2. work%2:41:00::
3. work%2:41:03::
4. work%2:35:02::
5. work%2:36:00::
6. work%2:29:00::
7. work%2:38:00::
8. work%2:41:04::
9. work%2:41:05::
10. work%2:38:02::
11. work%2:36:01::
12. work%2:41:01::
13. work%2:36:09::
14. work%2:42:10::
15. work%2:41:10::
16. work%2:41:11::
17. work%2:41:12::
18. work%2:39:10::
19. work%2:37:10::
20. work%2:36:12::
21. work%2:35:14::
22. work%2:35:00::
23. work%2:34:10::
24. work%2:31:13::
25. work%2:30:14::
26. work%2:30:13::
27. work%2:30:10::

The context: "Mainly useful for <t>working</t> with piecewise."

This is about using/manipulating/handling piecewise conditions in the kalgebra software.

In software documentation, "work with" typically means "to use" or "to manipulate" or "to process".

Looking at sense 23: "use or manipulate to one's advantage" - synonyms: exploit. Examples: "work the system". This has a negative connotation usually.

Sense 1: "exert oneself by doing mental or physical work for a purpose" - This is the general sense of performing work/activity. "working with piecewise" could fit here as performing mental work involving piecewise conditions.

Sense 9: "proceed towards a goal or along a path or through an activity" - "She was working on her second martini" - this is about engaging in an activity.

But "working with X" usually means using X as a tool or material.

Sense 5: "shape, form, or improve a material" - "work stone into tools" - this is about crafting raw materials. Piecewise is a feature/function, not a raw material being shaped.

Sense 21: "move into or onto" - incorporating.

Actually, looking at sense 16: "operate in or through" - "Work the phones". This means to use the phones as a medium/tool. "Working with piecewise" could mean using the piecewise functionality.

Sense 17: "cause to operate or function" - "work the controls" - manipulating specific controls.

Sense 8: "operate in a certain place, area, or specialty" - working in the domain of piecewise?

Let me reconsider the general meaning. In technical computing contexts, "work with" most closely means "use" or "manipulate".

Sense 1 is the most general sense: "exert oneself by doing mental or physical work for a purpose". If you are working with piecewise conditions, you are doing mental work involving them.

But sense 9 is also general: "proceed towards a goal or along a path or through an activity".

However, looking at the specific example in sense 9: "work your way through every problem or task" - this suggests processing/handling items.

And sense 8 examples: "works the night clubs", "works the Midwest" - these suggest covering/working in an area.

Sense 16: "Work the phones" - using a tool.

Sense 17: "work the controls" - operating specific mechanisms.

Sense 23: "work the system" - exploiting/using a system.

Given that "piecewise" is a method/feature in the software, and the container is useful for when you are "working with" (using/handling) this feature...

I think sense 1 (exert oneself by doing mental or physical work) is too broad.

Sense 9 (proceed towards a goal... through an activity) might fit: working with piecewise as an activity.

But actually, looking carefully at the context: "It can be used to define a container. Mainly useful for working with piecewise."

This suggests the container is useful when one wants to use/manipulate piecewise definitions.

In WordNet, the sense for "use" or "handle" might be:

Sense 23 is "use or manipulate to one's advantage" - but this is exploit.

Sense 16 "operate in or through" - using a medium.

Sense 17 "cause to operate or function" - making something work.

Sense 4 "perform as expected when applied" - functioning properly.

Wait, I should look at "work" as in "the system works" (functions) vs "work the controls" (operate).

The phrase is "working with", not "working [object]".

"Working with" implies collaboration or use of.

In the sentence: "Mainly useful for working with piecewise."

This is similar to "useful for working with data" or "useful for working with files".

This would align with sense 1: performing mental work involving piecewise conditions.

Or sense 9: engaging in the activity involving piecewise.

But let me check if there's a specific sense for "work with" meaning to handle or manipulate materials.

Sense 5: "shape, form, or improve a material" - work stone, process iron. This is transitive without "with". But "work with stone" would mean to shape stone.

"Work with piecewise" - piecewise is abstract, not material.

Sense 22: "make uniform" (knead) - physical.

Sense 21: "move into or onto" - incorporate.

Actually, looking at the index again, I should consider that the intended sense might be sense 1, as it's the most common general sense of "work".

But let's look at the specific context. This is about a MathML container being useful for working with piecewise definitions. The user is describing a technical feature. "Working with" here means "using" or "manipulating".

Sense 23 is the only one that mentions "use or manipulate", but it has the specific connotation "to one's advantage" (exploitation).

However, sense 1: "exert oneself by doing mental or physical work for a purpose" - working with piecewise requires mental effort.

Sense 9: "proceed towards a goal... through an activity" - handling piecewise definitions is an activity.

Between 1 and 9, sense 9 seems more specific to the context of dealing with tasks/problems.

But actually, looking at the example for sense 9: "She was working on her second martini" - this is about consumption/creation, not using a tool.

Sense 8: "She works the night clubs" - she operates in that venue.

Sense 16: "Work the phones" - use the phone system.

Sense 17: "work the controls" - manipulate the controls.

I think for "working with [tool/feature]", sense 1 is actually the most appropriate, as it covers the general activity of working (mental work) involving the specified domain.

But wait, I should look for a sense that specifically includes "work with" in the examples or definition.

Looking at sense 1 examples: "I will work hard...", "she worked hard..."
Sense 9: "work your way through every problem or task"
Sense 21: "work the raisins into the dough"
Sense 22: "work the clay"
Sense 5: "work stone into tools"

"Work with" is not explicitly covered.

However, in many WSD tasks, when "work" means "to use or operate", and it's followed by "with", it often maps to the general activity sense (sense 1) or the operate/function senses.

But let me reconsider sense 8: "operate in a certain place, area, or specialty". Is "piecewise" a specialty? It's a specific area of functionality. "Works the night clubs" - could be analogous to "works with piecewise [conditions]".

Actually, "work the piecewise" vs "work with piecewise". "Work the phones" (sense 16) uses "work" transitively. "Work with" is different.

"Work with piecewise" means to engage in work that involves piecewise.

I think sense 1 is the safest choice, but let me see if there's a better fit.

Sense 24: "find the solution to" - solving problems.
Sense 3: "have an effect or outcome" - functioning.

Given the context of software documentation, describing a container useful for "working with" a feature, I believe the intended sense is the general "perform work/activity" sense, which is sense 1.

However, looking at the WordNet entry for "work" verb, sense 1 is usually the "be employed" sense? No, looking at the list:

2 is "be employed" (do work)
1 is "exert oneself..."

So 1 is the general "do work" sense.

But let me double-check: "Mainly useful for working with piecewise."

Could it be sense 5? "work stone into tools" - if we think of "work with" as manipulating/forming?

Or sense 21: "work the raisins into the dough" - but that's "work [object] into", not "work with".

"Work with" is closer to collaborate or use.

In the context of the sentence: explaining that the MathML container is useful when dealing with piecewise conditions. This is about the domain of activity.

I think sense 1 is correct: performing mental work (programming/mathematics) for a purpose, involving piecewise conditions.

But sense 9 is also strong: "proceed towards a goal... through an activity". Working with piecewise is proceeding through an activity.

Actually, looking at the example for sense 9: "work your way through every problem or task" - this implies handling/dealing with items.

"Working with piecewise" is similar to handling/dealing with piecewise.

But sense 9 examples don't quite match.

Let me look at sense 8 again: "She works the night clubs". If we interpret "the night clubs" as the area of operation, and "piecewise" as the area of operation in the mathematical software...

Actually, sense 8 might be interpreted as "work in an area or specialty".

But "with" suggests accompaniment, not location.

I think I should go with sense 1. It is the most general and covers "performing work involving X".

Wait, I need to check if "work" in "working with" could mean "function" (sense 4: perform as expected when applied). No, that would be "working properly".

Could it be sense 14? "behave in a certain way when handled" - "This dough does not work easily". No.

Sense 1 seems best.

But let me reconsider sense 23: "use or manipulate to one's advantage" - "work the system". "Working with the system" is different from "working the system".

"Working with" is cooperative, "working" (transitive) can be manipulative.

Sense 1: "exert oneself by doing mental or physical work"

I think 1 is the answer.

Actually, looking at the context once more: technical documentation for a math software. "Mainly useful for working with piecewise."

In such contexts, "work with" means "to use" or "to operate with/within".

Sense 16: "operate in or through" - "Work the phones". This is transitive.

Sense 17: "cause to operate" - transitive.

Sense 2: "be employed" - intransitive.

Sense 1: "exert oneself" - intransitive or with "on/at".

"Working with" takes an object (piecewise) after "with", so the verb is intransitive with a prepositional phrase.

Sense 1 can be used with "with": "I work with computers" (I do work involving computers).

Sense 8: "works the night clubs" - transitive.

Sense 9: "working on her second martini" - "on" not "with".

Sense 23: "work the system" - transitive.

So for "work with", the best match is sense 1: exert oneself by doing work involving [something].

Therefore, the sense index is 1.

But I want to double-check if "work with" could fall under sense 5 or others when it means "to shape/form work using [material]".

"Work with clay" means to shape clay. "Work with piecewise" doesn't mean to shape piecewise, it means to use it.

So sense 1.

Final check: The user wants the JSON format {"sense_index": 1}.

Yes.

provider: DigitalOcean


[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: now
Target surface form: Now
Context:
Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. <t>Now</t> you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ().

Candidate senses:
1. sense_key=now%4:02:05:: | definition=in the historical present; at this point in the narration of a series of past events | examples=President Kennedy now calls in the National Guard; Washington now decides to cross the Delaware
2. sense_key=now%4:02:00:: | definition=in these times; - Nancy Mitford | synonyms=nowadays, today | examples=it is solely by their language that the upper classes nowadays are distinguished; we now rarely see horse-drawn vehicles on city streets
3. sense_key=now%4:02:02:: | definition=used to preface a command or reproof or request | examples=now hear this!; now pay attention
4. sense_key=now%4:02:04:: | definition=at the present moment | synonyms=at present | examples=goods now on sale; the now-aging dictator
5. sense_key=now%4:02:01:: | definition=without delay or hesitation; with no time intervening | synonyms=immediately, instantly, straightaway, straight off, directly, right away | examples=he answered immediately; found an answer straightaway
6. sense_key=now%4:02:07:: | definition=(prefatory or transitional) indicates a change of subject or activity | examples=Now the next problem is...
7. sense_key=now%4:02:06:: | definition=in the immediate past | examples=told me just now

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

reasoning_content:
 The user wants me to perform Word Sense Disambiguation for the word "now" in a specific context.

Context analysis:
The text is explaining technical details about "piecewise" operations in kalgebra (a mathematical software). It explains how MathML containers work. Then it says: "<t>Now</t> you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions..."

The word "Now" is being used here as a discourse marker or discourse particle that transitions to a new subject or anticipates a question from the reader. It's functioning as a way to introduce a new topic or shift the discussion.

Looking at the candidate senses:

1. sense_key=now%4:02:05:: - "in the historical present; at this point in the narration of a series of past events" - This is for narrative contexts like storytelling about past events using present tense. Not applicable here.

2. sense_key=now%4:02:00:: - "in these times; nowadays" - This refers to the current era/time period. The context isn't talking about modern times vs. past times.

3. sense_key=now%4:02:02:: - "used to preface a command or reproof or request" - Examples: "now hear this!", "now pay attention". This is close but the context isn't really a command or reproof. It's introducing a hypothetical question.

4. sense_key=now%4:02:04:: - "at the present moment" - This is the literal temporal meaning. But here "Now" isn't referring to the current time, it's a discourse marker.

5. sense_key=now%4:02:01:: - "without delay or hesitation; with no time intervening" - This means immediately. Not the right sense.

6. sense_key=now%4:02:07:: - "(prefatory or transitional) indicates a change of subject or activity" - Examples: "Now the next problem is..." - This seems to fit perfectly. The text is transitioning from explaining technical details to addressing a potential reader question. It's prefatory/transitional.

7. sense_key=now%4:02:06:: - "in the immediate past" - "told me just now" - Not applicable.

Sense 6 (index 6 in the list, but the sense_key ends in 07) is the best fit. The example "Now the next problem is..." closely mirrors the usage here: "Now you could ask me..." - it's transitioning to a new point, anticipating a question, changing the subject slightly from technical explanation to addressing user concerns.

Wait, I need to check the indexing. The user asks for a JSON object like {"sense_index": 3}. So I need to provide the index in the list (1-based? 0-based?). The example shows 3, which would correspond to the third item in the list.

Let me check the list:
1. sense_key=now%4:02:05::
2. sense_key=now%4:02:00::
3. sense_key=now%4:02:02::
4. sense_key=now%4:02:04::
5. sense_key=now%4:02:01::
6. sense_key=now%4:02:07::
7. sense_key=now%4:02:06::

Sense 6 is sense_key=now%4:02:07:: which is "(prefatory or transitional) indicates a change of subject or activity".

So the index would be 6.

But let me double-check if it could be sense 3 (now%4:02:02:: - used to preface a command or reproof or request). The example "now hear this!" is imperative. In the context "Now you could ask me...", it's not really a command. It's more of a transitional device introducing a hypothetical question.

Sense 6 is definitely the best fit.

The instruction says: "Return only a JSON object exactly like {"sense_index": 3}."

So I should return {"sense_index": 6}.

Wait, I should verify the indexing is 1-based based on the example. The example shows {"sense_index": 3} which would correspond to the third item in the list. So yes, 1-based indexing.

Therefore: {"sense_index": 6}


[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: ask
Target surface form: ask
Context:
Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could <t>ask</t> me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ().

Candidate senses:
1. sense_key=ask%2:32:00:: | definition=inquire about | synonyms=inquire, enquire | examples=I asked about their special today; He had to ask directions several times
2. sense_key=ask%2:32:01:: | definition=make a request or demand for something to somebody | examples=She asked him for a loan
3. sense_key=ask%2:32:02:: | definition=direct or put; seek an answer to | examples=ask a question
4. sense_key=ask%2:32:05:: | definition=consider obligatory; request and expect | synonyms=require, expect | examples=We require our secretary to be on time; Aren't we asking too much of these children?
5. sense_key=ask%2:32:04:: | definition=address a question to and expect an answer from | examples=Ask your teacher about trigonometry; The children asked me about their dead grandmother
6. sense_key=ask%2:42:00:: | definition=require as useful, just, or proper | synonyms=necessitate, postulate, need, require, take, involve | examples=It takes nerve to do what she did; success usually requires hard work
7. sense_key=ask%2:32:09:: | definition=require or ask for as a price or condition | examples=He is asking $200 for the table; The kidnappers are asking a million dollars in return for the release of their hostage

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

reasoning_content:
 The user wants me to perform Word Sense Disambiguation on the word "ask" in a specific context.

 Context analysis:
 - The text is about defining conditional operations in kalgebra/MathML
 - The sentence is: "Now you could ask me, why should the user mind about MathML?"
 - This is a rhetorical or anticipatory question structure. The speaker is anticipating that the reader/user might pose this question to them.
 - The structure "you could ask me" suggests the reader might inquire or pose a question to the speaker.

 Looking at the candidate senses:

 1. sense_key=ask%2:32:00:: | definition=inquire about | synonyms=inquire, enquire | examples=I asked about their special today; He had to ask directions several times
    - This involves inquiring about something. The context "ask me, why should..." fits this - the user would be inquiring about why they should care about MathML.

 2. sense_key=ask%2:32:01:: | definition=make a request or demand for something to somebody | examples=She asked him for a loan
    - This involves requesting something tangible or specific from someone. Not fitting here.

 3. sense_key=ask%2:32:02:: | definition=direct or put; seek an answer to | examples=ask a question
    - Very similar to sense 1 but more general. "Direct or put" seems less specific than sense 1's "inquire about".

 4. sense_key=ask%2:32:05:: | definition=consider obligatory; request and expect | synonyms=require, expect | examples=We require our secretary to be on time; Aren't we asking too much of these children?
    - This is about requiring/expecting, not posing a question. Doesn't fit.

 5. sense_key=ask%2:32:04:: | definition=address a question to and expect an answer from | examples=Ask your teacher about trigonometry; The children asked me about their dead grandmother
    - This involves addressing a question to someone. The example "Ask your teacher about trigonometry" is very close to "ask me, why should..."
    - However, looking closely: "Ask your teacher about trigonometry" vs "ask me, why should..."
    - Sense 5 focuses on addressing a question to someone and expecting an answer.
    - Sense 1 is "inquire about" - which is similar but focuses on the inquiry aspect.

 6. sense_key=ask%2:32:09:: | definition=require or ask for as a price or condition | examples=He is asking $200 for the table
    - Monetary/request for payment. Doesn't fit.

 7. sense_key=ask%2:42:00:: | definition=require as useful, just, or proper | synonyms=necessitate, postulate...
    - This is like "it asks for courage" - not fitting here.

 Now between sense 1 and sense 5:
 - Sense 1: "inquire about" - examples: "I asked about their special today", "ask directions"
 - Sense 5: "address a question to and expect an answer from" - examples: "Ask your teacher about trigonometry", "The children asked me about..."

 The specific construction here is "ask me, why should..." - this is addressing a question to me (the speaker).
 However, sense 1 "inquire about" could also fit: "you could inquire about why..."

 But looking at the examples:
 - Sense 1: "I asked about their special today" - transitive with "about"
 - Sense 5: "Ask your teacher about trigonometry" - address question to teacher about trigonometry

 Actually, sense 5 seems to be the one where you pose a question to someone (ditransitive or with "about").
 The construction "ask me [question]" fits sense 5 well: "address a question to [me] and expect an answer from [me]".

 However, let's look at sense 3: "direct or put; seek an answer to" with example "ask a question"
 And sense 2: "make a request..."

 Wait, I need to look more carefully at the specific sense indices and their WordNet definitions.

 Sense 1: ask%2:32:00:: - inquire about
 Sense 2: ask%2:32:01:: - make a request or demand for something to somebody
 Sense 3: ask%2:32:02:: - direct or put; seek an answer to
 Sense 4: ask%2:32:05:: - consider obligatory; request and expect
 Sense 5: ask%2:32:04:: - address a question to and expect an answer from
 Sense 6: ask%2:42:00:: - require as useful, just, or proper
 Sense 7: ask%2:32:09:: - require or ask for as a price or condition

 The context: "Now you could ask me, why should the user mind about MathML?"

 This is clearly posing a question to someone (me). So sense 5 "address a question to and expect an answer from" seems most appropriate.

 But wait, sense 1 is "inquire about". The structure "ask me why..." could be seen as inquiring about the reason.

 Let me check the exact WordNet senses for these indices:
 - Sense 1 (ask%2:32:00::): "inquire about" - "I asked about their special today"
 - Sense 5 (ask%2:32:04::): "address a question to and expect an answer from" - "Ask your teacher about trigonometry"

 The example in sense 5 "Ask your teacher about trigonometry" maps closely to "ask me [about] why..."

 Actually, looking at the construction:
 "you could ask me, why should..."
 This is equivalent to "you could ask me the question 'why should...'"
 Or it could be "you could inquire of me, 'why should...'"

 Sense 5 seems to specifically cover asking a person (addressing to them).
 Sense 1 seems to cover asking about a topic.

 But "ask me why" involves both a person (me) and a topic (why...).

 However, sense 5's example is "Ask your teacher about trigonometry" - this has both a person (teacher) and a topic (trigonometry), connected with "about".

 In our sentence: "ask me, why should..." - the "why" clause is the question being asked.

 Actually, looking at the punctuation: "ask me, why should..." - this suggests direct speech or a question being posed.

 If we look at sense 3: "direct or put; seek an answer to" with example "ask a question" - this is more general.

 But sense 5 specifically mentions addressing a question to someone and expecting an answer from them. That fits "ask me" perfectly - the "me" is the person being addressed.

 However, I should reconsider sense 1. "Inquire about" - can you say "inquire me about..."? No, you inquire of someone, or you inquire about something. But "ask" can take a person as object: "ask me", "ask him".

 Sense 1 examples: "I asked about their special today" - no person as object, only topic with "about".
 "He had to ask directions" - directions is the object (thing inquired about).

 Sense 5 examples: "Ask your teacher about trigonometry" - person as object (teacher), topic with "about".
 "The children asked me about their dead grandmother" - person as object (me), topic with "about".

 So sense 5 specifically allows for a personal object (the person being asked), while sense 1 seems to focus on the topic being inquired about (with prepositional phrases).

 Therefore, sense 5 is the best fit because "ask me" involves addressing a question to a specific person (me).

 Wait, looking at sense 2: "make a request or demand for something to somebody" - example "She asked him for a loan". This also takes a person as object, but the thing requested is a loan (a tangible thing or action), not information/a question.

 So for asking questions (seeking information), we need either sense 1, 3, or 5.
 - Sense 1: inquire about (focus on topic)
 - Sense 3: direct or put; seek an answer to (focus on posing the question)
 - Sense 5: address a question to and expect an answer from (focus on the recipient of the question)

 Given the explicit "me" as the recipient of the question, and the comma suggesting the question follows ("why should..."), sense 5 seems most appropriate.

 But let me double-check if sense 3 could fit. "direct or put; seek an answer to" - you could say "you could ask [the question]". But here we have "ask me", which makes sense 5 stronger.

 Actually, looking at the instruction: "Choose the single best indexed sense."

 Given the context is clearly asking a question to a specific person (the speaker), and sense 5 explicitly covers "address a question to and expect an answer from" with examples like "Ask your teacher...", sense 5 (index 5) is the correct choice.

 Wait, I need to check the indexing. The user lists:
 1. sense_key=ask%2:32:00::
 2. sense_key=ask%2:32:01::
 3. sense_key=ask%2:32:02::
 4. sense_key=ask%2:32:05::
 5. sense_key=ask%2:32:04::
 6. sense_key=ask%2:42:00::
 7. sense_key=ask%2:32:09::

 So index 5 corresponds to sense_key=ask%2:32:04:: (address a question to and expect an answer from).

 But let me reconsider if it could be sense 1. If I interpret "ask" as "inquire", then "you could inquire of me why..." fits. But the specific sense "inquire about" in WordNet might be restricted to "ask about [topic]" without naming the person, or "inquire of [person]".

 Actually, checking WordNet structure (from my knowledge):
 - ask.v.01: inquire about (make an inquiry)
 - ask.v.02: make a request (ask for something)
 - ask.v.03: direct or put (ask a question)
 - ask.v.04: consider obligatory (require)
 - ask.v.05: address a question to (ask someone)
 - ask.v.06: require as useful
 - ask.v.07: require as price

 So ask.v.05 (which is sense_key ending in 04 or 05 depending on lexicographer files) is specifically for asking someone (the person is the indirect object or object).

 In the candidate list:
 - Index 5 has sense_key ask%2:32:04::
 - Index 1 has sense_key ask%2:32:00::

 Typically:
 - ask%2:32:00:: is the first sense (inquire about)
 - ask%2:32:01:: is the second sense (request)
 - ask%2:32:02:: is the third sense (direct/put)
 - ask%2:32:04:: might be the fifth sense (address to someone)
 - ask%2:32:05:: might be the fourth sense (require/expect) - note this is out of order in the candidate list

 Actually, looking at the WordNet sense keys:
 - ask%2:32:00:: = word 1 of verb frames file 32, lexicographer file ask, sense 00
 - The numbers after the POS (2) are lexicographer file numbers.

 But the user has provided indices 1-7. I should just choose based on the definitions provided.

 Index 5: "address a question to and expect an answer from" - examples include "Ask your teacher about trigonometry" and "The children asked me about their dead grandmother"

 This is clearly the best fit because:
 1. It takes a personal object ("me" in the context, "teacher" and "me" in examples)
 2. It involves asking a question (the "why should..." clause)
 3. It matches the pattern "ask [person] [question/about topic]"

 Index 1 focuses on "inquire about" with examples showing inquiry about things (special today, directions), not explicitly showing the person being asked (though "ask directions" implies asking someone).

 Therefore, the answer should be sense_index: 5.

 Wait, I should verify once more. Is it possible that "ask" here means "pose a question" generally (sense 3: "direct or put; seek an answer to")?

 Sense 3: "direct or put; seek an answer to" - example "ask a question"
 This could fit: "you could ask [the question] why..."

 But the presence of "me" strongly suggests the personal recipient interpretation, which is sense 5.

 Also, the rhetorical nature "you could ask me" suggests bringing up a question that someone might pose to the speaker, which fits "address a question to [someone]".

 Final decision: sense_index: 5


[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: user
Target surface form: user
Context:
Piecewise is the way we can define conditional operations in kalgebra. If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the <t>user</t> mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ().

Candidate senses:
1. sense_key=user%1:18:00:: | definition=a person who makes use of a thing; someone who uses or employs something
2. sense_key=user%1:18:01:: | definition=a person who uses something or someone selfishly or unethically | synonyms=exploiter
3. sense_key=user%1:18:02:: | definition=a person who takes drugs | synonyms=drug user, substance abuser

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the word "user" in the given context.

Context analysis:
The text is about kalgebra, MathML, piecewise functions, and mathematical operations. The sentence containing the target word is: "Now you could ask me, why should the <t>user</t> mind about MathML?"

Here, "user" refers to the person using the software (kalgebra) or reading the documentation. It's asking why the person who uses this math software/documentation should care about MathML.

Candidate senses:
1. user%1:18:00:: - a person who makes use of a thing; someone who uses or employs something
2. user%1:18:01:: - a person who uses something or someone selfishly or unethically (synonyms: exploiter)
3. user%1:18:02:: - a person who takes drugs (synonyms: drug user, substance abuser)

Clearly, sense 1 is the correct one. The "user" here is the person making use of the software/documentation (kalgebra/MathML). There is no connotation of selfish/unethical use (sense 2) or drug use (sense 3).

The answer should be a JSON object: {"sense_index": 1}

provider: SiliconFlow


[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: easy
Target surface form: easy
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s <t>easy</t>. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=easy%3:00:01:: | definition=posing no difficulty; requiring little effort | examples=an easy job; an easy problem
2. sense_key=easy%5:00:00:unhurried:00 | definition=not hurried or forced | synonyms=easygoing, leisurely | examples=an easy walk around the block; at a leisurely (or easygoing) pace
3. sense_key=easy%3:00:02:: | definition=free from worry or anxiety | examples=knowing that I had done my best, my mind was easy; an easy good-natured manner
4. sense_key=easy%5:00:00:pleasing:00 | definition=affording pleasure | examples=easy good looks
5. sense_key=easy%5:00:00:light:08 | definition=having little impact | synonyms=gentle, soft | examples=an easy pat on the shoulder; gentle rain
6. sense_key=easy%5:00:00:impressionable:00 | definition=readily exploited or tricked | examples=an easy victim; an easy mark
7. sense_key=easy%5:00:00:rich:00 | definition=in fortunate circumstances financially; moderately rich | synonyms=comfortable, prosperous, well-fixed, well-heeled, well-off, well-situated | examples=they were comfortable or even wealthy by some standards; easy living
8. sense_key=easy%5:00:00:gradual:02 | definition=marked by moderate steepness | synonyms=gentle | examples=an easy climb; a gentle slope
9. sense_key=easy%5:00:00:comfortable:00 | definition=affording comfort | examples=soft light that was easy on the eyes
10. sense_key=easy%5:00:00:unchaste:00 | definition=casual and unrestrained in sexual behavior | synonyms=light, loose, promiscuous, sluttish, wanton | examples=her easy virtue; he was told to avoid loose (or light) women
11. sense_key=easy%5:00:00:available:00 | definition=less in demand and therefore readily obtainable | examples=commodities are easy this quarter
12. sense_key=easy%5:00:00:abundant:00 | definition=obtained with little effort or sacrifice, often obtained illegally | examples=easy money

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the word "easy" in the given context.

Context analysis:
The text is explaining something technical about MathML containers and piecewise functions. The speaker says: "Now you could ask me, why should the user mind about MathML? That's easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()."

Here, "easy" is used to mean that the explanation is simple, not difficult to understand, or the answer is obvious/simple. The speaker is saying the reason why users should mind about MathML is simple/straightforward.

Looking at the candidate senses:
1. sense_key=easy%3:00:01:: | definition=posing no difficulty; requiring little effort | examples=an easy job; an easy problem
2. sense_key=easy%5:00:00:unhurried:00 | definition=not hurried or forced
3. sense_key=easy%3:00:02:: | definition=free from worry or anxiety
4. sense_key=easy%5:00:00:pleasing:00 | definition=affording pleasure
5. sense_key=easy%5:00:00:light:08 | definition=having little impact
6. sense_key=easy%5:00:00:impressionable:00 | definition=readily exploited or tricked
7. sense_key=easy%5:00:00:rich:00 | definition=in fortunate circumstances financially
8. sense_key=easy%5:00:00:gradual:02 | definition=marked by moderate steepness
9. sense_key=easy%5:00:00:comfortable:00 | definition=affording comfort
10. sense_key=easy%5:00:00:unchaste:00 | definition=casual and unrestrained in sexual behavior
11. sense_key=easy%5:00:00:available:00 | definition=less in demand and therefore readily obtainable
12. sense_key=easy%5:00:00:abundant:00 | definition=obtained with little effort or sacrifice, often obtained illegally

Sense 1: "posing no difficulty; requiring little effort" - examples: "an easy job; an easy problem". This fits perfectly. The explanation/answer poses no difficulty, it's simple to understand.

Sense 3: "free from worry or anxiety" - doesn't fit here.

Sense 9: "affording comfort" - "easy on the eyes" - not this context.

Sense 1 is the core adjective sense meaning not difficult. The phrase "That's easy" is a very common idiom meaning "that is simple/not difficult to explain" or "the answer is simple."

Wait, let me double-check the sense numbering. The user lists them as 1-12. Sense 1 is easy%3:00:01::.

Actually, looking at WordNet, "easy" as an adjective meaning "posing no difficulty" is indeed the first/main sense. The context "That's easy" followed by an explanation means the explanation is straightforward/simple.

So the best sense is index 1.

Wait, I need to be careful. Is there any other sense that could fit?
- Sense 11: "available" - no.
- Sense 12: "easy money" - no.
- Sense 1 is clearly the best fit.

The user wants only a JSON object: {"sense_index": 1}

Let me make sure I'm not missing a nuance. "That's easy" could potentially be sense 3 "free from worry" but no, that's "easy mind" or "conscience is easy". The context is clearly about difficulty of understanding/explanation.

So the answer is sense_index 1.


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

[User]
Target lemma: function
Target surface form: functions
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with <t>functions</t> like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

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

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the word "functions" in the given context.

Let me analyze the context:
- The text is about MathML (Mathematical Markup Language)
- It mentions "functions like cos(), sin(), any other trigonometric functions, sum () or product ()"
- These are clearly mathematical functions
- The context mentions "operate with <t>functions</t>" referring to mathematical operations

Now let's look at the 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
   - This is clearly a mathematical function definition
   - Matches cos(), sin(), etc.
   - Domain: mathematics

2. sense_key=function%1:07:00:: | definition=what something is used for | synonyms=purpose, role, use
   - This is about purpose/utility, not mathematical functions

3. sense_key=function%1:04:00:: | definition=the actions and activities assigned to or required or expected of a person or group
   - This is about roles/duties of people

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
   - This is about dependency relationships (statistical/causal), not mathematical functions in the computational sense
   - Example: "price is a function of supply" - this is different from cos(), sin()

5. sense_key=function%1:14:00:: | definition=a formal or official social gathering or ceremony
   - Social event, clearly not relevant

6. sense_key=function%1:11:00:: | definition=a vaguely specified social event
   - Social event, clearly not relevant

7. sense_key=function%1:10:00:: | definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure
   - This is a programming/computer science sense
   - While the context mentions MathML and computing, the specific examples given are cos(), sin(), trigonometric functions, sum(), product() - these are mathematical functions, not subroutines or procedures in the programming sense (though they might be implemented as such)

Wait, I need to be careful here. The context mentions "operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()".

In programming/computer science, "function" often refers to subroutines (sense 7). However, the specific examples given (cos, sin, trigonometric functions, sum, product) are classic examples of mathematical functions (sense 1).

Let me look more carefully at the context:
- "MathML container"
- "operate with <t>functions</t> like cos(), sin(), any other trigonometric functions, sum () or product ()"
- "It does not matter what kind it is"

The examples cos(), sin() are clearly mathematical functions. In MathML, these are indeed mathematical functions.

Sense 1: "(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)"

Sense 7: "a set sequence of steps, part of larger computer program"

While MathML is a markup language for mathematics (computer-related), the specific word "functions" here refers to mathematical functions like cosine and sine, not programming subroutines. The mention of cos() and sin() strongly points to the mathematical sense.

Also, sense 4 is about "height is a function of age" - this is the "dependent on" sense, which is different from the mathematical mapping sense.

Therefore, sense 1 is the best fit.

The index for sense 1 is: function%1:24:00:: which corresponds to sense_index 1 in the list provided.

Wait, I need to check the indexing. The user lists:
1. sense_key=function%1:24:00::
2. sense_key=function%1:07:00::
3. sense_key=function%1:04:00::
4. sense_key=function%1:24:01::
5. sense_key=function%1:14:00::
6. sense_key=function%1:11:00::
7. sense_key=function%1:10:00::

So sense 1 in the list is the mathematical function sense.

The context clearly talks about mathematical functions (cos, sin, trigonometric, sum, product).

Therefore, the answer should be {"sense_index": 1}.

But let me double-check if sense 7 (computer programming) could be correct. In many programming contexts, cos() and sin() are called "functions" (subroutines). However, the context specifically mentions MathML, which is about representing mathematical notation. In MathML, <mi>cos</mi> would be an identifier, and the mathematical function concept is what's being represented. The gloss for sense 1 specifically mentions "mathematical relation" and "domain" and "range", which fits cos and sin perfectly.

Also, the examples in sense 1 include "mathematical function" as a synonym, which matches the context.

Sense 4 is also mathematical but refers to dependency relations (like "price is a function of supply"), not the mapping/domain-range concept.

So yes, sense 1 is definitely the correct choice.

provider: Novita


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

[User]
Target lemma: cos
Target surface form: cos()
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like <t>cos()</t>, sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=cos%1:24:00:: | definition=ratio of the adjacent side to the hypotenuse of a right-angled triangle | synonyms=cosine
2. sense_key=cos%1:13:00:: | definition=lettuce with long dark-green leaves in a loosely packed elongated head | synonyms=cos lettuce, romaine, romaine lettuce
3. sense_key=carbon_monoxide%1:27:00:: | definition=an odorless very poisonous gas that is a product of incomplete combustion of carbon | synonyms=carbon monoxide, carbon monoxide gas, CO
4. sense_key=cobalt%1:27:00:: | definition=a hard ferromagnetic silver-white bivalent or trivalent metallic element; a trace element in plant and animal nutrition | synonyms=cobalt, Co, atomic number 27
5. sense_key=conscientious_objector%1:18:00:: | definition=one who refuses to serve in the armed forces on grounds of conscience | synonyms=conscientious objector, CO
6. sense_key=colorado%1:15:00:: | definition=a state in west central United States in the Rocky Mountains | synonyms=Colorado, Centennial State, CO

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation (WSD) on the target word "cos" (appearing as "cos()" in the context).

Let me analyze the context:
- The text is about MathML (Mathematical Markup Language)
- It mentions "functions like <t>cos()</t>, sin(), any other trigonometric functions"
- It specifically mentions trigonometric functions
- The target surface form is "cos()" which clearly indicates the mathematical cosine function

Now let's look at the candidate senses:
1. cos%1:24:00:: - ratio of the adjacent side to the hypotenuse of a right-angled triangle (cosine) - This is the mathematical/trigonometric sense
2. cos%1:13:00:: - lettuce with long dark-green leaves (cos lettuce/romaine) - This is a vegetable
3. carbon_monoxide%1:27:00:: - carbon monoxide gas (CO) - Chemical compound abbreviation
4. cobalt%1:27:00:: - metallic element (Co) - Chemical element abbreviation
5. conscientious_objector%1:18:00:: - one who refuses military service (CO) - Military/pacifist term abbreviation
6. colorado%1:15:00:: - US state (CO) - Geographic abbreviation

The context clearly indicates this is about trigonometric functions in mathematics (MathML). The text explicitly mentions "functions like cos(), sin(), any other trigonometric functions".

Therefore, sense 1 (cosine) is the correct choice.

The user wants a JSON response like {"sense_index": 3}, but with the correct index. Since sense 1 is the correct one, I should return {"sense_index": 1}.

Wait, let me double-check the indexing. The user lists:
1. sense_key=cos%1:24:00::
2. sense_key=cos%1:13:00::
3. sense_key=carbon_monoxide%1:27:00::
4. sense_key=cobalt%1:27:00::
5. sense_key=conscientious_objector%1:18:00::
6. sense_key=colorado%1:15:00::

So index 1 is the trigonometric cosine function, which matches the context perfectly.

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

provider: AtlasCloud


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

[User]
Target lemma: sin
Target surface form: sin()
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), <t>sin()</t>, any other trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=sin%1:07:00:: | definition=estrangement from god | synonyms=sinfulness, wickedness
2. sense_key=sin%1:04:00:: | definition=an act that is regarded by theologians as a transgression of God's will | synonyms=sinning
3. sense_key=sin%1:24:00:: | definition=ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle | synonyms=sine
4. sense_key=sin%1:18:00:: | definition=(Akkadian) god of the Moon; counterpart of Sumerian Nanna
5. sense_key=sin%1:10:00:: | definition=the 21st letter of the Hebrew alphabet
6. sense_key=sin%1:04:01:: | definition=violent and excited activity | synonyms=hell | examples=they began to fight like sin

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation (WSD) on the word "sin" in the given context.

 Context analysis:
 The text is discussing MathML, mathematical functions, and specifically mentions "cos(), sin(), any other trigonometric functions". The target surface form is "sin()" which clearly indicates the mathematical sine function.

 Looking at the candidate senses:
 1. sin%1:07:00:: - estrangement from god (religious/moral sense)
 2. sin%1:04:00:: - transgression of God's will (religious/moral sense)
 3. sin%1:24:00:: - ratio of the length of the side opposite the given angle to the length of the hypotenuse (trigonometric sine function)
 4. sin%1:18:00:: - Akkadian god of the Moon
 5. sin%1:10:00:: - Hebrew alphabet letter
 6. sin%1:04:01:: - violent and excited activity

 The context clearly refers to mathematical functions, specifically trigonometric functions. The text mentions "cos(), sin(), any other trigonometric functions". This matches sense 3, which is the mathematical definition of sine (sin).

 Sense 3 has the synonym "sine" and the definition mentions it's a ratio in a right-angled triangle, which is the mathematical sine function.

 Therefore, the correct sense index is 3.

 The user wants the output as: {"sense_index": 3}

provider: StreamLake


[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: other
Target surface form: other
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any <t>other</t> trigonometric functions, sum () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=other%3:00:00:: | definition=not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day; the construction of highways and other public works
2. sense_key=other%5:00:00:past:00 | definition=recently past | examples=the other evening
3. sense_key=other%5:00:02:past:00 | definition=belonging to the distant past | synonyms=early, former | examples=the early inhabitants of Europe; former generations
4. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected; - Lance Morrow | examples=a strange, other dimension...where his powers seemed to fail

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

reasoning_content:
 The user wants me to perform Word Sense Disambiguation for the word "other" in the given context.

Context analysis:
The sentence is: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()."

Here, "other" is used to refer to additional trigonometric functions beyond the specific ones mentioned (cos and sin). It's indicating "not the same one or ones already mentioned or implied" - meaning trigonometric functions different from cos() and sin() that were already mentioned.

Looking at the candidate senses:

1. sense_key=other%3:00:00:: | definition=not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day; the construction of highways and other public works
   - This fits perfectly. The context mentions cos() and sin(), then says "any other trigonometric functions" meaning trigonometric functions not the same as the ones already mentioned (cos and sin).

2. sense_key=other%5:00:00:past:00 | definition=recently past | examples=the other evening
   - This refers to time, like "the other day". Doesn't fit here.

3. sense_key=other%5:00:02:past:00 | definition=belonging to the distant past | synonyms=early, former | examples=the early inhabitants of Europe; former generations
   - This refers to distant past. Doesn't fit.

4. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected; - Lance Morrow | examples=a strange, other dimension...where his powers seemed to fail
   - This means strange or unusual. The context isn't saying the trigonometric functions are strange, just additional/different ones from those mentioned.

So sense 1 is clearly the correct choice. The word "other" here means "additional" or "different from the ones mentioned" - which matches definition 1: "not the same one or ones already mentioned or implied".

The JSON output should be: {"sense_index": 1}

provider: Chutes


[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: sum
Target surface form: sum
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, <t>sum</t> () or product (). It does not matter what kind it is.

Candidate senses:
1. sense_key=sum%1:21:00:: | definition=a quantity of money | synonyms=sum of money, amount, amount of money | examples=he borrowed a large sum; the amount he had in cash was insufficient
2. sense_key=sum%1:09:01:: | definition=a quantity obtained by the addition of a group of numbers | synonyms=amount, total
3. sense_key=sum%1:14:00:: | definition=the final aggregate | synonyms=summation, sum total | examples=the sum of all our troubles did not equal the misery they suffered
4. sense_key=sum%1:09:00:: | definition=the choicest or most essential or most vital part of some idea or experience | synonyms=kernel, substance, core, center, centre, essence | examples=the gist of the prosecutor's argument; the heart and soul of the Republican Party
5. sense_key=sum%1:06:00:: | definition=the whole amount | synonyms=total, totality, aggregate
6. sense_key=sum%1:14:01:: | definition=a set containing all and only the members of two or more given sets | synonyms=union, join | examples=let C be the union of the sets A and B

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

reasoning_content:
 The user wants me to perform Word Sense Disambiguation for the word "sum" in the given context.

 Context analysis:
 - The text is discussing MathML containers and mathematical functions
 - It mentions: "we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()"
 - This is clearly referring to the mathematical operation of summation (adding numbers together)
 - The context is technical/computational, dealing with mathematical functions

 Candidate sense analysis:
 1. sum%1:21:00:: - "a quantity of money" - This is about financial sums, not mathematical operations. Incorrect.
 2. sum%1:09:01:: - "a quantity obtained by the addition of a group of numbers" - This matches the mathematical context perfectly. The synonyms are "amount, total" and it refers to the result of addition.
 3. sum%1:14:00:: - "the final aggregate" - This is more abstract, referring to the totality of troubles, etc. Not the specific mathematical operation.
 4. sum%1:09:00:: - "the choicest or most essential... part" - This is about the essence/gist of something. Incorrect.
 5. sum%1:06:00:: - "the whole amount" - This is close but more general. While related, sense 2 is more specific to the mathematical operation of addition.
 6. sum%1:14:01:: - "a set containing all and only the members..." - This is about set theory (union of sets). While mathematical, the context mentions "sum ()" as a function alongside cos(), sin(), etc., which typically refers to summation of numbers, not set union.

 The context specifically mentions "sum ()" as a mathematical function alongside trigonometric functions. In mathematics and programming, "sum" typically refers to the operation of adding numbers together.

 Sense 2 (sum%1:09:01::) is the best fit: "a quantity obtained by the addition of a group of numbers"

 Wait, let me double-check the sense indices. The user lists them as:
 1. sense_key=sum%1:21:00::
 2. sense_key=sum%1:09:01::
 3. sense_key=sum%1:14:00::
 4. sense_key=sum%1:09:00::
 5. sense_key=sum%1:06:00::
 6. sense_key=sum%1:14:01::

 So sense_index would be 2.

 But let me verify if there's any ambiguity. The context mentions "sum () or product ()" - in mathematics, product is multiplication, sum is addition. This clearly points to sense 2.

 Sense 5 ("the whole amount") is close but more general. Sense 2 specifically mentions "obtained by the addition of a group of numbers" which fits the mathematical function context better.

 Sense 6 is about set theory (union), which is not what is meant here.

 Therefore, the answer is sense_index 2.


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

[User]
Target lemma: product
Target surface form: product
Context:
If we introduce the condition before the? it will use this condition only if it is true, if it finds a? without any condition, it will enter in the last instance. {}: MathML container. It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or <t>product</t> (). It does not matter what kind it is.

Candidate senses:
1. sense_key=product%1:06:01:: | definition=commodities offered for sale | synonyms=merchandise, ware | examples=good business depends on having good merchandise; that store offers a variety of products
2. sense_key=product%1:06:00:: | definition=an artifact that has been created by someone or some process | synonyms=production | examples=they improve their product every year; they export most of their agricultural production
3. sense_key=product%1:09:00:: | definition=a quantity obtained by multiplication | synonyms=mathematical product | examples=the product of 2 and 3 is 6
4. sense_key=product%1:27:00:: | definition=a chemical substance formed as a result of a chemical reaction | examples=a product of lime and nitric acid
5. sense_key=product%1:19:00:: | definition=a consequence of someone's efforts or of a particular set of circumstances | examples=skill is the product of hours of practice; his reaction was the product of hunger and fatigue
6. sense_key=product%1:14:00:: | definition=the set of elements common to two or more sets | synonyms=intersection, Cartesian product | examples=the set of red hats is the intersection of the set of hats and the set of red things

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the word "product" in a given context.

Context analysis:
The text is about MathML containers, mathematical functions, and operations. Specifically: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or <t>product</t> ()."

The word "product" here is clearly referring to the mathematical operation of multiplication, or more specifically, the mathematical product (like product notation in mathematics, analogous to sum notation). It's listed alongside other mathematical functions: cos(), sin(), sum(), product().

Looking at the candidate senses:
1. product%1:06:01:: - commodities offered for sale (merchandise) - Not relevant here.
2. product%1:06:00:: - an artifact created by someone - Not relevant.
3. product%1:09:00:: - a quantity obtained by multiplication; synonyms=mathematical product; examples="the product of 2 and 3 is 6" - This fits perfectly. The context is mathematical operations.
4. product%1:27:00:: - chemical substance from reaction - Not relevant.
5. product%1:19:00:: - consequence of efforts - Not relevant.
6. product%1:14:00:: - set of elements common to sets (intersection/Cartesian product) - While this is mathematical, the context mentions it alongside sum(), cos(), sin(), which are operations/functions. The Cartesian product is a set theory concept, but "product" in the sense of multiplication (sense 3) is the more general mathematical operation that pairs with "sum". Also, the notation product() suggests a mathematical function/operator, likely the product of a sequence (capital pi notation), which falls under the general sense of a quantity obtained by multiplication.

Sense 3 is the best fit. The context explicitly mentions MathML, mathematical functions, and pairs "product" with "sum". The synonym "mathematical product" confirms this.

I need to return only a JSON object: {"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: use
Target surface form: use
Context:
It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is. We can <t>use</t> plus(), times() and everything which has its operator. kalgebra's console is useful as a calculator.

Candidate senses:
1. sense_key=use%2:34:01:: | definition=put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
2. sense_key=use%2:34:02:: | definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
3. sense_key=use%2:34:00:: | definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
4. sense_key=use%2:41:14:: | definition=seek or achieve an end by using to one's advantage | examples=She uses her influential friends to get jobs; The president's wife used her good connections
5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
6. sense_key=use%2:41:03:: | definition=habitually do something (use only in the past tense) | examples=She used to call her mother every week but now she calls only occasionally; I used to get sick when I ate in that dining hall

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

reasoning_content:
 The user wants me to perform Word Sense Disambiguation for the word "use" in the given context.

 Context analysis:
 - The text is about using functions/operators in a mathematical/programming context (KAlgebra, MathML, piecewise, cos(), sin(), plus(), times())
 - The specific sentence: "We can <t>use</t> plus(), times() and everything which has its operator."
 - This means employing or utilizing these functions/operators for a particular purpose (performing calculations/operations)

 Candidate sense analysis:
 1. sense_key=use%2:34:01:: - "put into service; make work or employ for a particular purpose or for its inherent or natural purpose" - synonyms: utilize, utilise, apply, employ
    - This fits well. The context is about employing functions like plus(), times() for the purpose of operating with mathematical functions.

 2. sense_key=use%2:34:02:: - "take or consume (regularly or habitually)" - synonyms: habituate
    - This implies regular consumption (like drugs), not applicable here.

 3. sense_key=use%2:34:00:: - "use up, consume fully" - synonyms: expend
    - This means depleting resources, not applicable.

 4. sense_key=use%2:41:14:: - "seek or achieve an end by using to one's advantage"
    - This implies exploiting something/someone for personal gain, not applicable to using mathematical functions.

 5. sense_key=use%2:41:04:: - "avail oneself to" - synonyms: practice, apply
    - This is more about following or practicing something (like a religion or principle). While "apply" is similar, the definition "avail oneself to" suggests making use of something available to oneself, but sense 1 is more direct about employing tools/functions.

 6. sense_key=use%2:41:03:: - "habitually do something (use only in the past tense)"
    - This is specifically for "used to" constructions, not applicable here.

 The best fit is sense 1: "put into service; make work or employ for a particular purpose or for its inherent or natural purpose". The context describes employing mathematical functions (plus(), times()) for the purpose of operating with mathematical expressions.

 The examples for sense 1 include "use your head!" and "we only use Spanish at home" - these show employing something for a purpose, which matches employing plus() and times() functions for mathematical operations.

 Therefore, the answer should be sense_index: 1.


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

[User]
Target lemma: plus
Target surface form: plus()
Context:
It can be used to define a container. Mainly useful for working with piecewise. Now you could ask me, why should the user mind about MathML? That s easy. With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product (). It does not matter what kind it is. We can use <t>plus()</t>, times() and everything which has its operator. kalgebra's console is useful as a calculator.

Candidate senses:
1. sense_key=plus%1:07:00:: | definition=a useful or valuable quality | synonyms=asset
2. sense_key=plus%1:04:00:: | definition=the arithmetic operation of summing; calculating the sum of two or more numbers | synonyms=summation, addition | examples=the summation of four and three gives seven; four plus three equals seven

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

reasoning_content:
The user wants me to perform Word Sense Disambiguation for the word "plus" in the given context.

 Context analysis:
 - The text is talking about mathematical operations and functions
 - It mentions: "We can use <t>plus()</t>, times() and everything which has its operator"
 - It mentions other mathematical functions like cos(), sin(), sum(), product()
 - It's discussing MathML and algebraic operations in kalgebra (a calculator software)
 - The word "plus" is being used as a function/operator name

 Candidate senses:
 1. sense_key=plus%1:07:00:: - definition: a useful or valuable quality (synonyms: asset)
    - This is the sense of "plus" meaning an advantage or positive attribute (e.g., "knowing French is a plus")

 2. sense_key=plus%1:04:00:: - definition: the arithmetic operation of summing; calculating the sum of two or more numbers (synonyms: summation, addition)
    - Example given: "four plus three equals seven"
    - This is the mathematical operation sense

 Analysis:
 - The context is clearly mathematical/computational
 - "plus()" is being used alongside other mathematical operators like "times()", "sum()", "product()"
 - The text mentions "operator" explicitly
 - This is referring to the arithmetic operation of addition, not the quality of being an asset

 Therefore, sense 2 (the arithmetic operation) is the correct choice.

 The user wants the output as: {"sense_index": 2}

provider: Moonshot AI