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

[User]
Target lemma: find
Target surface form: finds
Context:
abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: 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 <t>finds</t> a? without any condition, it will enter in the last instance. {}: MathML container.

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

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

reasoning_content:
The context is: "If we introduce the condition before the? it will use this condition only if it is true, if it <t>finds</t> a? without any condition, it will enter in the last instance."
The subject is "it" (the parser or the system).
The object is "a? without any condition".
The meaning is that the parser discovers or determines the existence of a '?' without any condition.
Let's look at the candidate senses:
1. come upon, as if by accident
2. discover or determine the existence, presence, or fact of (detect, observe, discover, notice)
3. come upon after searching; find the location of something that was missed or lost
4. establish after a calculation, investigation, experiment, survey, or study
5. come to believe on the basis of emotion, intuitions, or indefinite grounds
6. perceive or be contemporaneous with
7. get something or somebody for a specific purpose
8. make a discovery, make a new finding
9. make a discovery
10. obtain through effort or management
11. decide on and make a declaration about
12. receive a specified treatment (abstract)
13. perceive oneself to be in a certain condition or place
14. get or find back; recover the use of
15. succeed in reaching; arrive at
16. accept and make use of one's personality, abilities, and situation

Sense 2: "discover or determine the existence, presence, or fact of" (detect, observe, discover, notice).
The parser detects or notices a '?' without any condition.
Let's check sense 2 examples: "She detected high levels of lead in her drinking water; We found traces of lead in the paint".
In the context, "if it finds a ? without any condition", it means it detects or notices the presence of a '?' without any condition.
Sense 2 fits perfectly.
Let's double check sense 4: "establish after a calculation, investigation, experiment, survey, or study". Not really.
Sense 8: "make a discovery, make a new finding". Not really.
Sense 2 is the best fit.
Context: "if it finds a ? without any condition" -> if it detects a ? without any condition.
Synonyms for sense 2: detect, observe, discover, notice.
Yes, "detect" is a perfect synonym here.
I will choose sense 2.


attempt_kind: initial

status: success

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

[User]
Target lemma: instance
Target surface form: instance
Context:
abc(params): When the parser finds a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.: =: 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 <t>instance</t>. {}: MathML container.

Candidate senses:
1. sense_key=instance%1:11:00:: | definition=an occurrence of something | synonyms=case, example | examples=it was a case of bad judgment; another instance occurred yesterday
2. sense_key=instance%1:09:00:: | definition=an item of information that is typical of a class or group | synonyms=example, illustration, representative | examples=this patient provides a typical example of the syndrome; there is an example on page 10

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

finish_reason: stop

role: assistant

reasoning_content:
The target word is "instance" in the 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 <t>instance</t>."
The context is about a piecewise condition definition in a programming/math language (kalgebra).
"if it finds a ? without any condition, it will enter in the last instance."
This means the last case or occurrence.
Sense 1: an occurrence of something (case, example). "it was a case of bad judgment; another instance occurred yesterday"
Sense 2: an item of information that is typical of a class or group (example, illustration, representative). "this patient provides a typical example of the syndrome"

In the context, "the last instance" refers to the last case or occurrence of the condition (the default case).
Therefore, sense 1 is the best fit.
Let's double check.
"enter in the last instance" -> enter in the last case.
Yes, sense 1.
Sense 1 index is 1.
Sense 2 index is 2.
I will return {"sense_index": 1}.

format: unknown

native_finish_reason: stop

provider: Alibaba

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: use
Target surface form: used
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 <t>used</t> to define a container. Mainly useful for working with piecewise.

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 target word is "used" in the context: "It can be <t>used</t> to define a container."
The context is about using something (a MathML container) for a particular purpose (to define a container).
Sense 1: 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.
Sense 2: take or consume (regularly or habitually).
Sense 3: use up, consume fully.
Sense 4: seek or achieve an end by using to one's advantage.
Sense 5: avail oneself to.
Sense 6: habitually do something (use only in the past tense).

"It can be used to define a container" matches Sense 1: put into service; make work or employ for a particular purpose.

Let's check Sense 1.
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
Yes, "used to define a container" means it is employed for a particular purpose.

Therefore, the best sense is 1.
End of thought.


[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 context is about programming/math: "It is used to define a variable value.", "define conditional operations", "define a container".
The target word is "define".
Sense 1: determine the essential quality of (specify, delineate, delimit, delimitate)
Sense 2: give a definition for the meaning of a word
Sense 3: determine the nature of
Sense 4: show the form or outline of
Sense 5: decide upon or fix definitely (specify, set, determine, fix, limit) - examples: fix the variables; specify the parameters.

In the context, "define a variable value", "define conditional operations", "define a container". This means to set, fix, or specify a value or container.
Sense 5 matches "decide upon or fix definitely" with synonyms "specify, set, determine, fix, limit" and example "fix the variables; specify the parameters".
This perfectly aligns with "define a variable value".

Let's check Sense 5.
"decide upon or fix definitely"
synonyms: specify, set, determine, fix, limit
examples: fix the variables; specify the parameters

Context: "It is used to define a variable value."
This is exactly "fix the variables" or "specify the parameters".

Therefore, sense 5 is the best fit.
Double check:
1. determine the essential quality of
2. give a definition for the meaning of a word
3. determine the nature of
4. show the form or outline of
5. decide upon or fix definitely

Yes, 5 is the best.
Context: "define a variable value", "define conditional operations", "define a container".
Sense 5: decide upon or fix definitely.
Matches perfectly.
JSON output: {"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: 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}.

reasoning_content:
The target word is "useful".
Context: "Mainly <t>useful</t> for working with piecewise."
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

In the context, "useful" means "being of use or service" (helpful for working with piecewise).
Sense 1 fits perfectly.
Sense 2 is more about having a useful function (utilitarian).

Let's check the context again: "Mainly useful for working with piecewise."
This means it is of use or service.
Sense 1 is the best fit.
I will return {"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: 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 context is: "Mainly useful for <t>working</t> with piecewise."
The target word is "working".
The context talks about using MathML container to define a container, mainly useful for "working with piecewise".
This means using, manipulating, or dealing with piecewise.
Let's look at the candidate senses.
1. exert oneself by doing mental or physical work
2. be employed
3. have an effect or outcome
4. perform as expected when applied
5. shape, form, or improve a material
6. give a workout to
7. proceed along a path
8. operate in a certain place
9. proceed towards a goal or along a path or through an activity
10. move in an agitated manner
11. cause to happen
12. cause to work
13. prepare for crops
14. behave in a certain way when handled
15. have and exert influence or effect
16. operate in or through
17. cause to operate or function
18. provoke or excite
19. gratify and charm
20. make something, usually for a specific function
21. move into or onto
22. make uniform
23. use or manipulate to one's advantage
24. find the solution to (a problem or question) or understand the meaning of
25. cause to undergo fermentation
26. go sour or spoil
27. arrive at a certain condition through repeated motion

Wait, "working with" in the sense of "dealing with" or "using" or "manipulating".
Is there a sense for "use or manipulate to one's advantage"? No, that's "exploit".
What about "proceed towards a goal or along a path or through an activity"? "work your way through every problem or task"
What about "use or manipulate to one's advantage"? No.
Let's re-read the context: "Mainly useful for working with piecewise."
"working with" -> dealing with, using, manipulating.
Wait, let's look at sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity" - "I will work hard to improve my grades". "working with piecewise" could be "doing mental work with piecewise".
Wait, sense 24: "find the solution to (a problem or question) or understand the meaning of" - "solve, work out, figure out, puzzle out, lick".
What about sense 9: "proceed towards a goal or along a path or through an activity" - "work your way through every problem or task".
What about sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity".
Let's consider "work with" as in "collaborate with" or "use".
Is there a sense for "use"?
Sense 23: "use or manipulate to one's advantage" (exploit).
Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity".
Wait, could it be sense 1? "working with piecewise" -> doing mental work with piecewise.
Let's check the examples for sense 1: "I will work hard to improve my grades; she worked hard for better living conditions for the poor".
What about sense 9: "proceed towards a goal or along a path or through an activity" - "work your way through every problem or task; She was working on her second martini when the guests arrived".
What about sense 24: "find the solution to (a problem or question) or understand the meaning of" - "did you solve the problem?; Work out your problems with the boss".
What about sense 15: "have and exert influence or effect" - "The artist's work influenced the young painter; She worked on her friends to support the political candidate".
What about sense 5: "shape, form, or improve a material" - "work stone into tools; process iron".
What about sense 20: "make something, usually for a specific function" - "She molded the rice balls carefully; Form cylinders from the dough".
What about sense 21: "move into or onto" - "work the raisins into the dough; the student worked a few jokes into his presentation".
What about sense 22: "make uniform" - "knead dough; work the clay until it is soft".

Let's rethink: "working with piecewise".
In programming or math, "working with" means using, manipulating, or dealing with.
Is there a sense for "use"?
Sense 23: "use or manipulate to one's advantage" (exploit).
Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity".
Wait, "work" as in "to work with something" (e.g., to work with wood, to work with a tool, to work with a concept).
If I say "I am working with piecewise", I am doing mental work with it.
Let's look at sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity".
Is there a better sense?
Sense 9: "proceed towards a goal or along a path or through an activity" - "work your way through every problem or task".
Sense 24: "find the solution to (a problem or question) or understand the meaning of".
Sense 1 seems the most general for "doing mental work".
Wait, what about sense 1? "exert oneself by doing mental or physical work for a purpose or out of necessity".
Let's search for "work with" in WordNet.
"work" verb:
1. work (exert oneself by doing mental or physical work for a purpose or out of necessity)
2. work (be employed)
3. work (have an effect or outcome)
4. work (perform as expected when applied)
5. work (shape, form, or improve a material)
6. work (give a workout to)
7. work (proceed along a path)
8. work (operate in a certain place, area, or specialty)
9. work (proceed towards a goal or along a path or through an activity)
10. work (move in an agitated manner)
11. work (cause to happen or to occur as a consequence)
12. work (cause to work)
13. work (prepare for crops)
14. work (behave in a certain way when handled)
15. work (have and exert influence or effect)
16. work (operate in or through)
17. work (cause to operate or function)
18. work (provoke or excite)
19. work (gratify and charm, usually in order to influence)
20. work (make something, usually for a specific function)
21. work (move into or onto)
22. work (make uniform)
23. work (use or manipulate to one's advantage)
24. work (find the solution to (a problem or question) or understand the meaning of)
25. work (cause to undergo fermentation)
26. work (go sour or spoil)
27. work (arrive at a certain condition through repeated motion)

"working with piecewise" -> "working with" as in "using" or "manipulating".
Could it be sense 1? "exert oneself by doing mental or physical work for a purpose or out of necessity".
Or sense 23? "use or manipulate to one's advantage" (exploit). "He exploit the new taxation system; She knows how to work the system". This doesn't fit "working with piecewise".
What about sense 5? "shape, form, or improve a material". No.
What about sense 1? "exert oneself by doing mental or physical work for a purpose or out of necessity". "I will work hard to improve my grades". "working with piecewise" means doing mental work with piecewise.
Wait, let's consider "work with" as in "collaborate with" or "deal with".
Is there a sense for "deal with"?
Maybe sense 1 is the best fit for "doing mental work".
Let's check sense 1 again. "exert oneself by doing mental or physical work for a purpose or out of necessity".
Is there any other sense?
"work" as in "to work with" (e.g., to work with a specific tool or material).
If I say "I am working with wood", it's sense 5? "shape, form, or improve a material".
If I say "I am working with piecewise", piecewise is a concept, not a material. So it's mental work. Sense 1.
Let's consider sense 1.
"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"
"working with piecewise" -> doing mental work with piecewise.

Let's look at sense 9: "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"
"working with piecewise" -> proceeding through an activity? No.

What about sense 24: "find the solution to (a problem or question) or understand the meaning of"
Examples: "did you solve the problem?; Work out your problems with the boss"
"working with piecewise" -> solving? No, it's just using it.

What about sense 1? "exert oneself by doing mental or physical work for a purpose or out of necessity".
Yes, "working with" in the context of programming/math usually means "doing mental work with" or "using". Since "use" is sense 23 but with "to one's advantage", sense 1 is the most appropriate for general mental work.

Wait, is there a sense for "use"?
Sense 23: "use or manipulate to one's advantage"
Sense 1: "exert oneself by doing mental or physical work for a purpose or out of necessity"

Let's read the context again: "Mainly useful for working with piecewise."
"useful for working with piecewise" -> useful for doing mental work with piecewise.
I will choose sense 1.
Wait, let's consider if "working with" could be sense 1.
"working with" -> "exerting oneself by doing mental work with".
Yes, sense 1 is the most standard sense for "working" in this context.
Let's double check if there's any other sense.
Sense 1: work%2:41:02::
Sense 2: work%2:41:00::
Sense 3: work%2:41:03::
Sense 4: work%2:35:02::
Sense 5: work%2:36:00::
Sense 6: work%2:29:00::
Sense 7: work%2:38:00::
Sense 8: work%2:38:02::
Sense 9: work%2:41:05::
Sense 10: work%2:38:02:: (wait, 10 is 38:02, 8 is 38:00)
Sense 11: work%2:36:01::
Sense 12: work%2:41:01::
Sense 13: work%2:36:09::
Sense 14: work%2:42:10::
Sense 15: work%2:41:10::
Sense 16: work%2:41:11::
Sense 17: work%2:41:12::
Sense 18: work%2:39:10::
Sense 19: work%2:37:10::
Sense 20: work%2:36:12::
Sense 21: work%2:35:14::
Sense 22: work%2:35:00::
Sense 23: work%2:34:10::
Sense 24: work%2:31:13::
Sense 25: work%2:30:14::
Sense 26: work%2:30:13::
Sense 27: work%2:30:10::

I'll go with 1.
"working with piecewise" -> doing mental work with piecewise.
Let's consider if "working with" means "manipulating" -> sense 5? "shape, form, or improve a material". No, piecewise is not a material.
Sense 1 is the best fit.
Another option: sense 9 "proceed towards a goal or along a path or through an activity". "working with" is not "working through".
So sense 1.
I am confident in 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: 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 target word is "Now" in the context: "Now you could ask me, why should the user mind about MathML? That s easy."
The word "Now" is used to introduce a new topic or question, acting as a prefatory or transitional word indicating a change of subject or activity.
Let's check the candidate senses:
1. in the historical present
2. in these times
3. used to preface a command or reproof or request
4. at the present moment
5. without delay or hesitation
6. (prefatory or transitional) indicates a change of subject or activity. Example: "Now the next problem is..."
7. in the immediate past

The context "Now you could ask me, why should the user mind about MathML?" perfectly matches sense 6: "(prefatory or transitional) indicates a change of subject or activity".

Let's double check.
"Now you could ask me..." -> introducing a new question/topic.
Sense 6 fits perfectly.
Sense 3 is for command/reproof/request ("Now hear this!").
Sense 6 is for change of subject or activity ("Now the next problem is...").

Therefore, sense 6 is the best match.
JSON output: {"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 target word is "ask" in the context: "Now you could ask me, why should the user mind about MathML?"
The speaker is saying the listener could address a question to them and expect an answer.
Let's look at the candidate senses:
1. inquire about (I asked about their special today)
2. make a request or demand for something to somebody (She asked him for a loan)
3. direct or put; seek an answer to (ask a question)
4. consider obligatory; request and expect (We require our secretary to be on time)
5. address a question to and expect an answer from (Ask your teacher about trigonometry; The children asked me about their dead grandmother)
6. require as useful, just, or proper (It takes nerve to do what she did)
7. require or ask for as a price or condition (He is asking $200 for the table)

In the context "Now you could ask me, why should the user mind about MathML?", the speaker is saying "you could address a question to me".
Sense 5: "address a question to and expect an answer from" fits perfectly. "ask me, why should the user mind about MathML?" -> address a question to me.
Let's double check sense 5.
"Ask your teacher about trigonometry; The children asked me about their dead grandmother"
"ask me, why should the user mind about MathML?"
Yes, sense 5 is the best fit.
Sense 3 is "direct or put; seek an answer to" (ask a question). Here the object is "me", so it's addressing a question to someone.
Sense 5 is "address a question to and expect an answer from".
Therefore, sense 5 is the correct choice.
The output format must be exactly {"sense_index": 5}.
Let's review the context again: "Now you could ask me, why should the user mind about MathML?"
"ask me" -> address a question to me.
Matches sense 5.
Done.


[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 target word is "user".
Context: "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 ()."
The context is talking about a person who uses a software or system (kalgebra, MathML).
Sense 1: a person who makes use of a thing; someone who uses or employs something.
Sense 2: a person who uses something or someone selfishly or unethically.
Sense 3: a person who takes drugs.

Sense 1 is the best fit.
I will return {"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: 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: "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 ()."
The speaker is saying that the reason why the user should mind about MathML is "easy" to explain or understand, or that it poses no difficulty to explain.
"That's easy" means it is not difficult to answer or explain.
Let's look at the candidate senses:
1. posing no difficulty; requiring little effort (an easy job; an easy problem)
2. not hurried or forced
3. free from worry or anxiety
4. affording pleasure
5. having little impact
6. readily exploited or tricked
7. in fortunate circumstances financially
8. marked by moderate steepness
9. affording comfort
10. casual and unrestrained in sexual behavior
11. less in demand and therefore readily obtainable
12. obtained with little effort or sacrifice

Sense 1 fits perfectly: "posing no difficulty; requiring little effort". The answer to the question is easy to give, or the concept is easy to grasp. "That's easy" = "That is not difficult to explain/understand".

Let's double check.
"That's easy." -> It poses no difficulty to answer.
Sense 1: posing no difficulty; requiring little effort.

I will output {"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 target word is "functions" in the context: "With this, we can operate with <t>functions</t> like cos(), sin(), any other trigonometric functions, sum () or product ()."
The context explicitly mentions "cos(), sin(), any other trigonometric functions, sum () or product ()".
This clearly refers to 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) | synonyms=mathematical function, single-valued function, map, mapping.
Sense 4: a relation such that one thing is dependent on another.
Sense 1 is the most specific and accurate for "cos(), sin(), any other trigonometric functions".
Therefore, sense 1 is the best fit.
Let's double check.
"operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()"
Yes, mathematical function.
Sense index: 1.
End of thought.


[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 target lemma is "cos" and the surface form is "cos()".
The context mentions: "With this, we can operate with functions like <t>cos()</t>, sin(), any other trigonometric functions, sum () or product ()."
This clearly refers to the mathematical function cosine.
Candidate sense 1: sense_key=cos%1:24:00:: | definition=ratio of the adjacent side to the hypotenuse of a right-angled triangle | synonyms=cosine.
This matches perfectly.
I will return {"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: 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 target word is "sin" in the context of "cos(), sin(), any other trigonometric functions, sum () or product ()".
The context clearly refers to the mathematical function "sine".
Sense 3: "ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle | synonyms=sine"
This perfectly matches the context.
I will return {"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: 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 target word is "other" in the context: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()."
The word "other" here means "not the same one or ones already mentioned or implied" (i.e., besides cos() and sin(), any other trigonometric functions).
Let's check 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
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

Sense 1 perfectly matches the context "any other trigonometric functions".
I will output {"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: 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 target word is "sum" in the context: "With this, we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()."
The context is about mathematical functions, specifically "sum()" or "product()".
Sense 2: "a quantity obtained by the addition of a group of numbers" (synonyms: amount, total). This fits the mathematical function "sum()".
Let's check the other senses:
1. quantity of money
3. final aggregate
4. choicest or most essential part
5. whole amount
6. set containing all and only the members of two or more given sets

Sense 2 is the most appropriate for a mathematical function that adds numbers.
Wait, let's look at the context: "operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()".
This refers to the mathematical operation of addition, yielding a quantity obtained by the addition of a group of numbers.
Sense 2: sum%1:09:01:: "a quantity obtained by the addition of a group of numbers"
Let's double check.
Is there any other sense?
Sense 2 is the best fit.
Let's review the options.
1. sum of money
2. quantity obtained by addition
3. final aggregate
4. gist
5. whole amount
6. union of sets

"sum()" is a function that calculates the sum of a group of numbers.
Therefore, sense 2 is the correct choice.
The output format must be exactly {"sense_index": 2}.
I will output {"sense_index": 2}.


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

[User]
Target lemma: 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 context is about MathML, operating with functions like cos(), sin(), trigonometric functions, sum(), or product().
The target word is "product".
In mathematics, a product is a quantity obtained by multiplication.
Sense 3: "a quantity obtained by multiplication" (synonyms: mathematical product, examples: the product of 2 and 3 is 6).
This perfectly matches the context of mathematical functions like sum() or product().
Therefore, the best sense is 3.
I will return {"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 target word is "use" in the context: "We can <t>use</t> plus(), times() and everything which has its operator."
The context is about employing or utilizing functions like plus() and times() for a particular purpose (operating with functions).
Sense 1: 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.
Sense 2: take or consume (regularly or habitually).
Sense 3: use up, consume fully.
Sense 4: seek or achieve an end by using to one's advantage.
Sense 5: avail oneself to.
Sense 6: habitually do something.

"We can use plus(), times()..." means we can employ or utilize these functions.
This perfectly matches Sense 1.
Let's double check.
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose" -> "use plus(), times()".
Yes, sense 1.


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

[User]
Target lemma: 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 target lemma is "plus".
The target surface form is "plus()".
The context is: "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."

The context talks about mathematical operators, specifically "plus()", "times()", "sum()", "product()".
Sense 1: a useful or valuable quality (asset)
Sense 2: the arithmetic operation of summing; calculating the sum of two or more numbers (summation, addition)

The context clearly refers to the arithmetic operation of summing, as it mentions "plus()", "times()", "sum()", "product()", and "operator".
Therefore, sense 2 is the best fit.
I will return {"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: times
Target surface form: times()
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 plus(), <t>times()</t> and everything which has its operator. kalgebra's console is useful as a calculator.

Candidate senses:
1. sense_key=times%1:28:01:: | definition=a more or less definite period of time now or previously present | examples=it was a sign of the times
2. sense_key=times%1:04:00:: | definition=an arithmetic operation that is the inverse of division; the product of two numbers is computed | synonyms=multiplication | examples=the multiplication of four by three gives twelve; four times three equals twelve
3. sense_key=time%1:11:00:: | definition=an instance or single occasion for some event | synonyms=time, clip | examples=this time he succeeded; he called four times
4. sense_key=time%1:28:05:: | definition=a period of time considered as a resource under your control and sufficient to accomplish something | synonyms=time | examples=take time to smell the roses; I didn't have time to finish
5. sense_key=time%1:28:00:: | definition=an indefinite period (usually marked by specific attributes or activities) | synonyms=time | examples=he waited a long time; the time of year for planting
6. sense_key=time%1:28:06:: | definition=a suitable moment | synonyms=time | examples=it is time to go
7. sense_key=time%1:03:00:: | definition=the continuum of experience in which events pass from the future through the present to the past | synonyms=time
8. sense_key=time%1:11:01:: | definition=a person's experience on a particular occasion | synonyms=time | examples=he had a time holding back the tears; they had a good time together
9. sense_key=clock_time%1:28:00:: | definition=a reading of a point in time as given by a clock | synonyms=clock time, time | examples=do you know what time it is?; the time is 10 o'clock
10. sense_key=fourth_dimension%1:28:00:: | definition=the fourth coordinate that is required (along with three spatial dimensions) to specify a physical event | synonyms=fourth dimension, time
11. sense_key=meter%1:07:00:: | definition=rhythm as given by division into parts of equal duration | synonyms=meter, metre, time
12. sense_key=prison_term%1:28:00:: | definition=the period of time a prisoner is imprisoned | synonyms=prison term, sentence, time | examples=he served a prison term of 15 months; his sentence was 5 to 10 years

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

reasoning_content:
The target lemma is "times" and the surface form is "times()".
The context is: "We can use plus(), <t>times()</t> and everything which has its operator. kalgebra's console is useful as a calculator."
The context talks about mathematical operators: "plus()", "times()", "cos()", "sin()", "sum()", "product()".
"times()" is an arithmetic operation, specifically multiplication.
Looking at the candidate senses:
1. times%1:28:01:: (period of time)
2. times%1:04:00:: (an arithmetic operation that is the inverse of division; the product of two numbers is computed; synonyms=multiplication)
3. time%1:11:00:: (instance or single occasion)
...
Sense 2 is clearly the best fit, as it refers to the arithmetic operation of multiplication, which matches "times()" as an operator in a calculator context.
The sense index is 2.
Double check: "times%1:04:00::" is sense 2.
Output format: {"sense_index": 2}.
Context: "We can use plus(), <t>times()</t> and everything which has its operator."
Yes, "times" here means multiplication.
Sense 2: "an arithmetic operation that is the inverse of division; the product of two numbers is computed"
Matches perfectly.


[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: have
Target surface form: has
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 plus(), times() and everything which <t>has</t> its operator. kalgebra's console is useful as a calculator.

Candidate senses:
1. sense_key=have%2:40:00:: | definition=have or possess, either in a concrete or an abstract sense | synonyms=have got, hold | examples=She has $1,000 in the bank; He has got two beautiful daughters
2. sense_key=have%2:42:00:: | definition=have as a feature | synonyms=feature | examples=This restaurant features the most famous chefs in France
3. sense_key=have%2:39:06:: | definition=go through (mental or physical states or experiences) | synonyms=experience, receive, get | examples=get an idea; experience vertigo
4. sense_key=have%2:40:04:: | definition=have ownership or possession of | synonyms=own, possess | examples=He owns three houses in Florida; How many cars does she have?
5. sense_key=have%2:30:00:: | definition=cause to move; cause to be in a certain position or condition | synonyms=get, let | examples=He got his squad on the ball; This let me in for a big surprise
6. sense_key=have%2:34:00:: | definition=serve oneself to, or consume regularly | synonyms=consume, ingest, take in, take | examples=Have another bowl of chicken soup!; I don't take sugar in my coffee
7. sense_key=have%2:41:00:: | definition=have a personal or business relationship with someone | examples=have a postdoc; have an assistant
8. sense_key=have%2:36:00:: | definition=organize or be responsible for | synonyms=hold, throw, make, give | examples=hold a reception; have, throw, or make a party
9. sense_key=have%2:40:01:: | definition=have left | examples=I have two years left; I don't have any money left
10. sense_key=have%2:42:12:: | definition=be confronted with | examples=What do we have here?; Now we have a fine mess
11. sense_key=have%2:30:01:: | definition=undergo | synonyms=experience | examples=The stocks had a fast run-up
12. sense_key=have%2:29:02:: | definition=suffer from; be ill with | examples=She has arthritis
13. sense_key=have%2:32:00:: | definition=cause to do; cause to act in a specified manner | synonyms=induce, stimulate, cause, get, make | examples=The ads induced me to buy a VCR; My children finally got me to buy a computer
14. sense_key=have%2:40:05:: | definition=receive willingly something given or offered | synonyms=accept, take | examples=The only girl who would have him was the miller's daughter; I won't have this dog in my house!
15. sense_key=have%2:40:03:: | definition=get something; come into possession of | synonyms=receive | examples=receive payment; receive a gift
16. sense_key=have%2:29:05:: | definition=undergo (as of injuries and illnesses) | synonyms=suffer, sustain, get | examples=She suffered a fracture in the accident; He had an insulin shock after eating three candy bars
17. sense_key=have%2:40:02:: | definition=achieve a point or goal | synonyms=get, make | examples=Nicklaus had a 70; The Brazilian team got 4 goals
18. sense_key=have%2:29:00:: | definition=cause to be born | synonyms=give birth, deliver, bear, birth | examples=My wife had twins yesterday!
19. sense_key=have%2:35:00:: | definition=have sex with; archaic use | synonyms=take | examples=He had taken this woman when she was most vulnerable

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

reasoning_content:
The context is: "We can use plus(), times() and everything which <t>has</t> its operator."
The target word is "has".
The sentence means that everything (like plus(), times()) has its operator as a feature or characteristic.
Let's look at the candidate senses:
1. have or possess, either in a concrete or an abstract sense (have got, hold)
2. have as a feature (feature) - "This restaurant features the most famous chefs in France"
4. have ownership or possession of (own, possess)

Wait, "everything which has its operator" -> "has as a feature" or "possesses".
Let's consider sense 1: "have or possess, either in a concrete or an abstract sense".
Let's consider sense 2: "have as a feature".
Is "has its operator" meaning "has as a feature"?
"everything which has its operator" -> "everything which has its operator" (possesses its operator).
Wait, "has its operator" could mean "has as a feature" (sense 2) or "have or possess" (sense 1).
Let's look at sense 1: "She has $1,000 in the bank; He has got two beautiful daughters"
Sense 2: "have as a feature" -> "This restaurant features the most famous chefs in France"
"everything which has its operator" -> "everything which has its operator" (possesses its operator).
Actually, "has" in "has its operator" means "possesses" or "has as a feature".
Let's check sense 1 vs sense 2.
"everything which has its operator" -> "everything which has its operator" (possesses).
Wait, "has" in "has its operator" is more like "has as a feature" or "possesses".
Let's look at sense 1: "have or possess, either in a concrete or an abstract sense".
Let's look at sense 2: "have as a feature".
"everything which has its operator" -> "everything which has its operator" (possesses).
I think sense 1 is the most general and fits "has its operator" (possesses its operator).
Wait, "has its operator" -> "has as a feature"? No, "has its operator" means "possesses its operator".
Let's re-read the context: "We can use plus(), times() and everything which has its operator."
"has" = possesses.
Sense 1: have or possess, either in a concrete or an abstract sense.
Sense 2: have as a feature.
I will go with sense 1.
Wait, let's think if "has its operator" means "has as a feature". "has its operator" -> "has its operator" (possesses).
Let's choose sense 1.
Wait, "has its operator" -> "has as a feature" (sense 2)? "This restaurant features the most famous chefs in France".
"everything which has its operator" -> "everything which has its operator" (possesses).
I'll select 1.
Let's double check. "has its operator" -> "has" = possess.
Sense 1: have or possess, either in a concrete or an abstract sense.
Yes.


[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: operator
Target surface form: operator
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 plus(), times() and everything which has its <t>operator</t>. kalgebra's console is useful as a calculator.

Candidate senses:
1. sense_key=operator%1:24:00:: | definition=(mathematics) a symbol or function representing a mathematical operation
2. sense_key=operator%1:18:00:: | definition=an agent that operates some apparatus or machine | synonyms=manipulator | examples=the operator of the switchboard
3. sense_key=operator%1:18:01:: | definition=someone who owns or operates a business | examples=who is the operator of this franchise?
4. sense_key=operator%1:18:02:: | definition=a shrewd or unscrupulous person who knows how to circumvent difficulties | synonyms=hustler, wheeler dealer
5. sense_key=operator%1:18:03:: | definition=a speculator who trades aggressively on stock or commodity markets

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

reasoning_content:
The target word is "operator" in the context: "We can use plus(), times() and everything which has its <t>operator</t>. kalgebra's console is useful as a calculator."
The context is about mathematics, specifically MathML, functions like cos(), sin(), sum(), product(), plus(), times().
Sense 1: (mathematics) a symbol or function representing a mathematical operation.
This perfectly matches the context of "plus(), times() and everything which has its operator".
Therefore, the best sense is 1.
I will return {"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: useful
Target surface form: useful
Context:
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 plus(), times() and everything which has its operator. kalgebra's console is <t>useful</t> as a calculator. There you have a list of the declared variables.

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}.

reasoning_content:
The target word is "useful".
Context: "kalgebra's console is <t>useful</t> as a calculator."
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

In the context, "useful as a calculator" means it is of use or service, serving a purpose.
Sense 1: "being of use or service" fits perfectly.
Sense 2: "having a useful function" (utilitarian) is more about design or physical objects having a function rather than being of service in a specific role.
Let's check the examples: "a useful job" -> "useful as a calculator".
Therefore, sense 1 is the best fit.
Sense index: 1.
End of thought.


[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: there
Target surface form: There
Context:
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 plus(), times() and everything which has its operator. kalgebra's console is useful as a calculator. <t>There</t> you have a list of the declared variables. By double clicking on them you will see a dialog that lets you change their values (just a way to trick the log).

Candidate senses:
1. sense_key=there%4:02:00:: | definition=in or at that place | synonyms=at that place, in that location | examples=they have lived there for years; it's not there
2. sense_key=there%4:02:02:: | definition=in that matter | synonyms=in that respect, on that point | examples=I agree with you there
3. sense_key=there%4:02:01:: | definition=to or toward that place; away from the speaker | synonyms=thither | examples=go there around noon!

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

reasoning_content:
The target word is "There" in the context: "kalgebra's console is useful as a calculator. There you have a list of the declared variables."
The word "There" refers to a place or location (in the console, or in that place).
Sense 1: in or at that place (at that place, in that location). Example: "they have lived there for years; it's not there".
Sense 2: in that matter (in that respect, on that point). Example: "I agree with you there".
Sense 3: to or toward that place; away from the speaker. Example: "go there around noon!".

In the context, "There you have a list of the declared variables" means "In that place (in the console) you have a list...".
This matches Sense 1: "in or at that place".

Let's double check.
"There you have a list of the declared variables." -> In that place (the console), you have a list.
Sense 1 is the best fit.
Sense 3 is directional (to or toward that place), which doesn't fit "There you have...".
Sense 2 is abstract (in that matter), which doesn't fit the physical/spatial metaphor of a console interface.

Therefore, Sense 1 is the correct choice.
The output format must be exactly {"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: have
Target surface form: have
Context:
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 plus(), times() and everything which has its operator. kalgebra's console is useful as a calculator. There you <t>have</t> a list of the declared variables. By double clicking on them you will see a dialog that lets you change their values (just a way to trick the log).

Candidate senses:
1. sense_key=have%2:40:00:: | definition=have or possess, either in a concrete or an abstract sense | synonyms=have got, hold | examples=She has $1,000 in the bank; He has got two beautiful daughters
2. sense_key=have%2:42:00:: | definition=have as a feature | synonyms=feature | examples=This restaurant features the most famous chefs in France
3. sense_key=have%2:39:06:: | definition=go through (mental or physical states or experiences) | synonyms=experience, receive, get | examples=get an idea; experience vertigo
4. sense_key=have%2:40:04:: | definition=have ownership or possession of | synonyms=own, possess | examples=He owns three houses in Florida; How many cars does she have?
5. sense_key=have%2:30:00:: | definition=cause to move; cause to be in a certain position or condition | synonyms=get, let | examples=He got his squad on the ball; This let me in for a big surprise
6. sense_key=have%2:34:00:: | definition=serve oneself to, or consume regularly | synonyms=consume, ingest, take in, take | examples=Have another bowl of chicken soup!; I don't take sugar in my coffee
7. sense_key=have%2:41:00:: | definition=have a personal or business relationship with someone | examples=have a postdoc; have an assistant
8. sense_key=have%2:36:00:: | definition=organize or be responsible for | synonyms=hold, throw, make, give | examples=hold a reception; have, throw, or make a party
9. sense_key=have%2:40:01:: | definition=have left | examples=I have two years left; I don't have any money left
10. sense_key=have%2:42:12:: | definition=be confronted with | examples=What do we have here?; Now we have a fine mess
11. sense_key=have%2:30:01:: | definition=undergo | synonyms=experience | examples=The stocks had a fast run-up
12. sense_key=have%2:29:02:: | definition=suffer from; be ill with | examples=She has arthritis
13. sense_key=have%2:32:00:: | definition=cause to do; cause to act in a specified manner | synonyms=induce, stimulate, cause, get, make | examples=The ads induced me to buy a VCR; My children finally got me to buy a computer
14. sense_key=have%2:40:05:: | definition=receive willingly something given or offered | synonyms=accept, take | examples=The only girl who would have him was the miller's daughter; I won't have this dog in my house!
15. sense_key=have%2:40:03:: | definition=get something; come into possession of | synonyms=receive | examples=receive payment; receive a gift
16. sense_key=have%2:29:05:: | definition=undergo (as of injuries and illnesses) | synonyms=suffer, sustain, get | examples=She suffered a fracture in the accident; He had an insulin shock after eating three candy bars
17. sense_key=have%2:40:02:: | definition=achieve a point or goal | synonyms=get, make | examples=Nicklaus had a 70; The Brazilian team got 4 goals
18. sense_key=have%2:29:00:: | definition=cause to be born | synonyms=give birth, deliver, bear, birth | examples=My wife had twins yesterday!
19. sense_key=have%2:35:00:: | definition=have sex with; archaic use | synonyms=take | examples=He had taken this woman when she was most vulnerable

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

reasoning_content:
The context is: "There you <t>have</t> a list of the declared variables."
The word "have" here means to possess or contain, or to have as a feature, or to have in a concrete or abstract sense.
Let's look at the candidate senses:
1. sense_key=have%2:40:00:: | definition=have or possess, either in a concrete or an abstract sense | synonyms=have got, hold | examples=She has $1,000 in the bank; He has got two beautiful daughters
2. sense_key=have%2:42:00:: | definition=have as a feature | synonyms=feature | examples=This restaurant features the most famous chefs in France
4. sense_key=have%2:40:04:: | definition=have ownership or possession of | synonyms=own, possess | examples=He owns three houses in Florida; How many cars does she have?

Wait, "There you have a list of the declared variables."
Does it mean "have or possess, either in a concrete or an abstract sense"? Yes, the console has a list.
Let's check sense 1: "have or possess, either in a concrete or an abstract sense".
Is it sense 1? "There you have a list of the declared variables."
Let's consider sense 1 vs sense 4. Sense 4 is "have ownership or possession of". A console doesn't "own" a list. It "has" a list in the sense of containing or possessing it abstractly/concretely.
Sense 1: "have or possess, either in a concrete or an abstract sense".
Let's check the examples for sense 1: "She has $1,000 in the bank; He has got two beautiful daughters".
Wait, sense 1 is "have or possess, either in a concrete or an abstract sense".
Is there a better sense?
What about sense 10: "be confronted with"? No.
Sense 1: "have or possess, either in a concrete or an abstract sense".
Let's re-read the context: "kalgebra's console is useful as a calculator. There you have a list of the declared variables."
This means the console contains or possesses a list.
Sense 1 fits perfectly.
Let's double check sense 1.
"have or possess, either in a concrete or an abstract sense"
Yes, "have a list" -> possess a list.
I will choose sense 1.
Wait, let's look at sense 1 again. "have or possess, either in a concrete or an abstract sense".
Is there any other sense?
"have a list" -> possess.
I'll go with 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: list
Target surface form: list
Context:
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 plus(), times() and everything which has its operator. kalgebra's console is useful as a calculator. There you have a <t>list</t> of the declared variables. By double clicking on them you will see a dialog that lets you change their values (just a way to trick the log).

Candidate senses:
1. sense_key=list%1:10:00:: | definition=a database containing an ordered array of items (names or topics) | synonyms=listing
2. sense_key=list%1:07:00:: | definition=the property possessed by a line or surface that departs from the vertical | synonyms=tilt, inclination, lean, leaning | examples=the tower had a pronounced tilt; the ship developed a list to starboard

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

reasoning_content:
The target word is "list".
Context: "There you have a list of the declared variables."
Sense 1: a database containing an ordered array of items (names or topics)
Sense 2: the property possessed by a line or surface that departs from the vertical (tilt, inclination)

In the context, "list of the declared variables" clearly refers to an ordered array of items (names or topics).
Therefore, Sense 1 is the correct sense.
I will return {"sense_index": 1}.