[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: We are asked to choose the best sense index for "working" in the context: "It can be used to define a container. Mainly useful for <t>working</t> with piecewise." The context is about MathML and piecewise conditions. The word "working" here means operating or functioning with piecewise, likely in the sense of using or manipulating it. The best candidate seems to be sense 4: "perform as expected when applied" with synonyms function, operate, go, run. That fits the idea of "working with piecewise" meaning that the container is useful when functioning or operating with piecewise. Sense 2 (be employed) doesn't fit. Sense 1 (exert oneself) doesn't fit. Sense 3 (have an effect) is close but sense 4 is more about performing as expected when applied, which is exactly the context: the container is useful for working (functioning) with piecewise. So I'll go with sense_index 4


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: 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}.

finish_reason: stop

role: assistant

reasoning_content: We are given the target word "Now" in the context: "<t>Now</t> you could ask me, why should the user mind about MathML?" The context is a transition from explaining piecewise and MathML container to a rhetorical question. The word "Now" is used to introduce a new point or shift the topic. This matches sense 6: "(prefatory or transitional) indicates a change of subject or activity" with example "Now the next problem is...". The other senses don't fit: it's not historical present (1), not "in these times" (2), not a command (3), not "at the present moment" (4), not "without delay" (5), not "in the immediate past" (7). So the best sense is 6.

format: unknown

native_finish_reason: stop

provider: Cloudflare

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: 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: We need to choose the best sense for "ask" in the context: "Now you could ask me, why should the user mind about MathML?" Here, the speaker is saying that the listener could ask the speaker a question. This is about addressing a question to someone and expecting an answer. Sense 5: "address a question to and expect an answer from" fits perfectly. The example "Ask your teacher about trigonometry" is similar. Sense 1 is "inquire about" which is also close, but sense 5 is more direct: "address a question to and expect an answer from". The context is "ask me" which is directly addressing a person. Sense 5's definition includes "address a question to". Sense 1 is more general inquire about something, not necessarily addressing a person. So sense 5 is best. Therefore, sense_index: 5.

provider: Venice


[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: We need to determine the correct sense for "user" in the context. The context discusses a person who might ask about MathML and then learns about its use for functions. The sentence: "Now you could ask me, why should the user mind about MathML?" The user here refers to a person who uses or is involved with the software or mathematical tools. It's a general user, not a drug user or exploiter. So sense 1 is appropriate. Sense 2 implies selfish/unethical use, not present. Sense 3 is drug user, not relevant. So sense_index 1.

provider: Baidu


[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: We are given the target word "easy" in the context: "Now you could ask me, why should the user mind about MathML? That s <t>easy</t>." The speaker is saying that the answer to the question is easy, meaning it is not difficult to understand or explain. This aligns with sense 1: "posing no difficulty; requiring little effort." The other senses do not fit: it's not about being unhurried, free from worry, affording pleasure, having little impact, being exploited, rich, gradual, comfortable, unchaste, available, or abundant. So the best sense is 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: We are asked to perform Word Sense Disambiguation for the target word "functions" in the given context. The context discusses MathML, piecewise functions, and examples like cos(), sin(), sum(), product(). It mentions operating with functions like trigonometric functions. This clearly refers to mathematical functions. Among the candidate senses, sense 1 is the mathematical relation definition. Sense 4 is also a relation but more general dependency. Sense 7 is about computer program subroutines. The context is about mathematical functions in MathML, not computer subroutines. So the best sense is sense 1. The answer should be JSON with sense_index 1.

provider: DigitalOcean


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

[User]
Target lemma: 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: We need to choose the best sense for "cos()" in the context. The context mentions "trigonometric functions" and "cos()" alongside sin(), sum(), product(). Clearly it's the trigonometric function cosine. That corresponds to sense 1: cos%1:24:00:: (ratio of the adjacent side...). So answer: {"sense_index": 1}.

provider: WandB


[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: We need to determine which sense of "sin" is used in the given context. The context is about MathML and trigonometric functions: "we can operate with functions like cos(), <t>sin()</t>, any other trigonometric functions". Here "sin" refers to the trigonometric function sine, not a moral transgression or other meanings. The third candidate sense is "ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle" with synonyms "sine". That matches. So 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: We need to determine which sense of "other" fits in the context: "any <t>other</t> trigonometric functions". The context is about MathML and using functions like cos(), sin(), any other trigonometric functions. This means "other" here refers to additional trigonometric functions beyond those mentioned. That matches sense 1: "not the same one or ones already mentioned or implied". The example "the construction of highways and other public works" shows similar usage. Sense 2 and 3 refer to time (recently past, distant past) which doesn't fit. Sense 4 describes something very unusual or strange, which also doesn't fit. So sense 1 is correct.


[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: We need to choose the best sense for "sum" in the given context. The context: "we can operate with functions like cos(), sin(), any other trigonometric functions, sum() or product()." This clearly refers to the mathematical operation of addition, i.e., the sum of numbers. Sense 2: "a quantity obtained by the addition of a group of numbers" fits perfectly. Sense 1 is about money, sense 3 is about final aggregate (more abstract), sense 4 is about essence, sense 5 is about whole amount (similar but more general), sense 6 is set union. The context explicitly mentions sum() as a function like cos() and sin(), so it's the arithmetic sum. Therefore sense 2 is correct.


[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: We need to choose the best sense for "product" in the context. The context mentions "sum () or <t>product</t> ()" and earlier "operate with functions like cos(), sin(), any other trigonometric functions". This strongly suggests mathematical operations, specifically sum and product as operations. The product here is likely the mathematical product (multiplication), which corresponds to sense 3: "a quantity obtained by multiplication" with synonym "mathematical product". The other senses are not relevant: commodities, artifact, chemical substance, consequence, set intersection. So answer is sense_index 3.

provider: Novita


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

[User]
Target lemma: 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: We are given the target lemma "use" in the context: "We can <t>use</t> plus(), times() and everything which has its operator." The context is about using functions like plus() and times() in Kalgebra's console. This fits the sense of "put into service; make work or employ for a particular purpose". That is sense index 1. The other senses involve consuming, habituating, using to one's advantage, etc., which do not match. So the best sense is sense 1.

provider: SiliconFlow


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

[User]
Target lemma: 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: We are given the target lemma "plus" with surface form "plus()" in the context. The context mentions "plus()" as a function in the context of mathematical operations: "we can use <t>plus()</t>, times() and everything which has its operator." This clearly refers to the arithmetic operation of addition, not a useful quality. So sense 2 is correct. Ensure sense_index is 2 (since it's the second candidate).


[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:
We are given the target lemma "times" with surface form "times()". The context shows: "We can use plus(), <t>times()</t> and everything which has its operator." This indicates that "times()" is a function, likely representing multiplication. The context also mentions "operate with functions like cos(), sin(), any other trigonometric functions, sum() or product(). It does not matter what kind it is." So "times()" is an arithmetic operator, specifically multiplication.

Looking at the candidate senses, sense_key=times%1:04:00:: is defined as "an arithmetic operation that is the inverse of division; the product of two numbers is computed" with synonyms "multiplication". That matches perfectly. Other senses are about periods of time, occasions, etc., which don't fit. So the correct sense index is 2 (since the list is numbered starting from 1). The JSON should be {"sense_index": 2}.

provider: Parasail


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

[User]
Target lemma: 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}.

raw_output: We are given a target sentence: "We can use plus(), times() and everything which <t>has</t> its operator." The context is about a mathematical software (kalgebra) where functions like plus(), times() etc. have their own operator. The word "has" here means "possesses" or "has as a feature". Looking at the candidate senses, sense 1 (have or possess, either in a concrete or an abstract sense) and sense 2 (have as a feature) both seem relevant. But sense 1 is more general "have or possess", sense 2 is "have as a feature". The phrase "has its operator" means "possesses its own operator" or "features its operator". The context is about functions having operators. It is about possession or feature. Sense 1 includes "have got" and "hold" which is similar. But sense 2 specifically says "have as a feature" and example "This restaurant features the most famous chefs". That is similar: "has its operator" means "features its operator". So both sense 1 and 2 are possible. However, sense 1 is more general and includes abstract possession. Sense 2 is more specific to having a feature. But the sentence says "everything which has its operator" meaning everything that possesses its own operator. It's like "everything that has an operator" - possession. But also "feature" might fit. I need to choose the best single indexed sense. Looking at the examples for sense 1: "She has $1,000 in the bank" - concrete possession. "He has got two beautiful daughters" - abstract possession. Sense 2: "This restaurant features the most famous chefs" - having as a feature. The context is about functions and their operators, which is a property/feature. So sense 2 might be more precise. However, sense 1 is also valid. But WordNet has both. I need to choose based on the context. Also note that "has its operator" is like "has its own operator", meaning "possesses". But sense 2 "have as a feature" is similar. I think sense 2 (index 2) is appropriate because it's about having a specific attribute. But let's see other senses: sense 4 (have ownership or possession of) is also similar but more concrete? Sense 4 is "have ownership or possession of" which is more concrete like owning property. But here it's about functions having an operator, not ownership per se. So sense 1 or 2 are better. I'll lean towards sense 2 because of the example "features" which is like "has as a feature". The context says "has its operator" meaning it has that operator as a feature. So I'll choose sense index 2. But wait, the instruction says "Do not answer with a WordNet sense key." and "Return only a JSON object exactly like {"sense_index": 3}." So I need to output the sense index number. The candidate senses are numbered 1 to 19. I need to pick the best one. I think sense 2 is appropriate. However, let's double-check: sense 1 is "have or possess" which is very general. But sense 2 is specifically "have as a feature". The phrase "has its operator" could be interpreted as "has its own operator" which is a feature. So sense 2 is good. Also, the context says "We can use plus(), times() and everything which has its operator." That means that plus, times, etc. have operators; they are functions that have an operator. So it's a feature. I'll go with sense 2. Therefore, {"sense_index": 2}.{"sense_index": 2}

provider: Wafer


[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}.

[Assistant] We are given a target sentence: "We can use plus(), times() and everything which <t>has</t> its operator." The context is about a mathematical software (kalgebra) where functions like plus(), times() etc. have their own operator. The word "has" here means "possesses" or "has as a feature". Looking at the candidate senses, sense 1 (have or possess, either in a concrete or an abstract sense) and sense 2 (have as a feature) both seem relevant. But sense 1 is more general "have or possess", sense 2 is "have as a feature". The phrase "has its operator" means "possesses its own operator" or "features its operator". The context is about functions having operators. It is about possession or feature. Sense 1 includes "have got" and "hold" which is similar. But sense 2 specifically says "have as a feature" and example "This restaurant features the most famous chefs". That is similar: "has its operator" means "features its operator". So both sense 1 and 2 are possible. However, sense 1 is more general and includes abstract possession. Sense 2 is more specific to having a feature. But the sentence says "everything which has its operator" meaning everything that possesses its own operator. It's like "everything that has an operator" - possession. But also "feature" might fit. I need to choose the best single indexed sense. Looking at the examples for sense 1: "She has $1,000 in the bank" - concrete possession. "He has got two beautiful daughters" - abstract possession. Sense 2: "This restaurant features the most famous chefs" - having as a feature. The context is about functions and their operators, which is a property/feature. So sense 2 might be more precise. However, sense 1 is also valid. But WordNet has both. I need to choose based on the context. Also note that "has its operator" is like "has its own operator", meaning "possesses". But sense 2 "have as a feature" is similar. I think sense 2 (index 2) is appropriate because it's about having a specific attribute. But let's see other senses: sense 4 (have ownership or possession of) is also similar but more concrete? Sense 4 is "have ownership or possession of" which is more concrete like owning property. But here it's about functions having an operator, not ownership per se. So sense 1 or 2 are better. I'll lean towards sense 2 because of the example "features" which is like "has as a feature". The context says "has its operator" meaning it has that operator as a feature. So I'll choose sense index 2. But wait, the instruction says "Do not answer with a WordNet sense key." and "Return only a JSON object exactly like {"sense_index": 3}." So I need to output the sense index number. The candidate senses are numbered 1 to 19. I need to pick the best one. I think sense 2 is appropriate. However, let's double-check: sense 1 is "have or possess" which is very general. But sense 2 is specifically "have as a feature". The phrase "has its operator" could be interpreted as "has its own operator" which is a feature. So sense 2 is good. Also, the context says "We can use plus(), times() and everything which has its operator." That means that plus, times, etc. have operators; they are functions that have an operator. So it's a feature. I'll go with sense 2. Therefore, {"sense_index": 2}.{"sense_index": 2}

[User] Your previous answer was invalid. Choose one candidate index between 1 and 19. Return only valid JSON exactly like {"sense_index": 1}.

reasoning_content: We need to adjust. The user says my previous answer was invalid. I had chosen sense_index 2, but perhaps it's considered wrong? Let's re-express: The target is "has" in "everything which <t>has</t> its operator". The most natural reading is "possesses" (sense 1) or "has as a feature" (sense 2). But perhaps the context is about "has" meaning "has its operator" as a feature is not the best; maybe it's simply "possesses". I need to think more carefully. The sentence: "We can use plus(), times() and everything which has its operator." This implies that each of these functions (plus, times, and others) has its own operator. That is possession: they have an operator. So sense 1 is appropriate. Sense 2 is "have as a feature" which is close but sense 1 is more generic. WordNet sense 1: "have or possess, either in a concrete or an abstract sense". That fits perfectly: an operator is abstract possession. Sense 2: "have as a feature" might be a bit more specific but still possible. However, the examples for sense 1 include "She has $1,000 in the bank" which is concrete, and "He has got two beautiful daughters" which is abstract possession. "has its operator" is like "has its own operator" - that is possession. So sense 1 is good. Also, sense 4 "have ownership or possession of" is similar but more legal ownership, not as good. I think sense 1 is the best. So I'll 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: 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:
We are given the target word "operator" in a context about MathML, functions like cos(), sin(), plus(), times(), and kalgebra's console. The context says "which has its <t>operator</t>". This clearly refers to a mathematical operator, such as plus or times, which are functions representing operations. The first sense is "(mathematics) a symbol or function representing a mathematical operation". That matches. Other senses involve people (agent, businessman, etc.) which do not fit. So the correct sense index is 1.

Return JSON: {"sense_index": 1}

provider: GMICloud


[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:
We are given target lemma "useful" in context: "kalgebra's console is <t>useful</t> as a calculator." The context is about a console that can be used like a calculator, so it is of use or service. There are two 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

The first sense is the general sense of being useful. The second sense is more specific: having a useful function, often implying practicality or functionality. In the context, the console is useful as a calculator, meaning it serves a practical function. However, both could apply. The first sense is more general and directly matches the idea of being of use. The second sense emphasizes functional utility. Since the context says "useful as a calculator," it highlights its function. But WordNet glosses are schematic; the first sense is the primary sense. The example for sense 1 includes "a useful job" which is similar. The second sense is marked as an adjective satellite (sense key has %5), meaning it's a derived sense. Typically, the first sense (the base sense) is more appropriate unless the context strongly suggests the satellite sense. Here, the context is straightforward: the console is useful (of use) as a calculator. I think sense 1 is best.

Thus, answer: {"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: 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:
We are given the target lemma "there" in the context: "kalgebra's console is useful as a calculator. <t>There</t> you have a list of the declared variables." The candidate senses are:

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!

In the context, the phrase is "There you have a list..." This is an existential or presentational "there" (as in "There is/are")? Actually, it's "There you have a list..." which is a fixed expression meaning "here is a list" or "that is a list". However, WordNet senses for "there" are typically locative. Let's examine the context: The sentence says "There you have a list of the declared variables." The word "there" is not referring to a physical place; it's more like "in that place" but metaphorical? Actually, "there" is pointing to the console? The console is a place? It says "kalgebra's console is useful as a calculator. There you have a list..." So "there" likely refers to "in that console" or "in that location". That matches sense 1: "in or at that place". Sense 2 is "in that matter", which doesn't fit because it's not a matter or respect. Sense 3 is "to or toward that place", which would imply motion, but here it's static (you have a list). So sense 1 is best.

Thus, the answer is sense index 1.


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

[User]
Target lemma: 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: We need to choose the best sense for "have" in the context: "There you have a list of the declared variables." The user is describing using kalgebra's console, and it shows a list. This is about possessing or having available a list. The most appropriate sense is possession, but which one? Sense 1: "have or possess, either in a concrete or an abstract sense" with example "She has $1,000 in the bank". Sense 4: "have ownership or possession of" with example "How many cars does she have?" Both are similar. However, sense 1 is more general. Also sense 9: "have left" doesn't fit. Sense 10: "be confronted with" could be possible but less likely. The context is a list that is present in the console. So sense 1 seems best: have as possess. But note sense 1 includes "in an abstract sense" like having a list. So I'll pick sense index 1.

provider: StreamLake


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

[User]
Target lemma: 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: We need to choose between sense 1 (database listing) and sense 2 (tilt). The context: "There you have a list of the declared variables." This is clearly a listing or database of items, not a tilt. So sense 1 is correct.


[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: variable
Target surface form: variables
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 list of the declared <t>variables</t>. 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=variable%1:17:00:: | definition=something that is likely to vary; something that is subject to variation | examples=the weather is one variable to be considered
2. sense_key=variable%1:09:00:: | definition=a quantity that can assume any of a set of values | synonyms=variable quantity
3. sense_key=variable%1:17:01:: | definition=a star that varies noticeably in brightness | synonyms=variable star
4. sense_key=variable%1:10:00:: | definition=a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity

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

reasoning_content:
We are given the target lemma "variable" with surface form "variables" in context. The context is about using Kalgebra's console, which has a list of declared variables. By double-clicking on them, you can change their values. This is clearly a mathematical/computer programming context where variables are symbols that hold values. The candidate senses are:

1. something that is likely to vary (general)
2. a quantity that can assume any of a set of values (variable quantity)
3. a star that varies in brightness (variable star)
4. a symbol (like x or y) used in mathematical or logical expressions to represent a variable quantity

Given the context mentions "declared variables" and changing their values, and the broader context about functions like cos(), sin(), sum(), product(), it's a mathematical/computational environment. Sense 4 is "a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity". This fits perfectly. Sense 2 is "a quantity that can assume any of a set of values" which is broader and not specifically about symbols. The context refers to a list of declared variables, which are likely symbolic names. So sense 4 is the best.

Thus, the answer is sense_index 4.

provider: AkashML


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

[User]
Target lemma: see
Target surface form: see
Context:
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 list of the declared variables. By double clicking on them you will <t>see</t> a dialog that lets you change their values (just a way to trick the log). Every time you enter an expression, the " ans " variable value will be changed to the last result.

Candidate senses:
1. sense_key=see%2:39:00:: | definition=perceive by sight or have the power to perceive by sight | examples=You have to be a good observer to see all the details; Can you see the bird in that tree?
2. sense_key=see%2:31:01:: | definition=perceive (an idea or situation) mentally | synonyms=understand, realize, realise | examples=Now I see!; I just can't see your point
3. sense_key=see%2:39:02:: | definition=perceive or be contemporaneous with | synonyms=witness, find | examples=We found Republicans winning the offices; You'll see a lot of cheating in this school
4. sense_key=see%2:36:00:: | definition=imagine; conceive of; see in one's mind | synonyms=visualize, visualise, envision, project, fancy, figure | examples=I can't see him on horseback!; I can see what will happen
5. sense_key=see%2:31:00:: | definition=deem to be | synonyms=consider, reckon, view, regard | examples=She views this quite differently from me; I consider her to be shallow
6. sense_key=see%2:31:02:: | definition=get to know or become aware of, usually accidentally | synonyms=learn, hear, get word, get wind, pick up, find out | examples=I learned that she has two grown-up children; I see that you have been promoted
7. sense_key=see%2:39:03:: | definition=see or watch | synonyms=watch, view, catch, take in | examples=view a show on television; This program will be seen all over the world
8. sense_key=see%2:38:00:: | definition=come together | synonyms=meet, run into, encounter, run across, come across | examples=I'll probably see you at the meeting; How nice to see you again!
9. sense_key=see%2:32:00:: | definition=find out, learn, or determine with certainty, usually by making an inquiry or other effort | synonyms=determine, check, find out, ascertain, watch, learn | examples=I want to see whether she speaks French; See whether it works
10. sense_key=see%2:31:03:: | definition=be careful or certain to do something; make certain of something | synonyms=check, insure, see to it, ensure, control, ascertain | examples=He verified that the valves were closed; See that the curtains are closed
11. sense_key=see%2:41:11:: | definition=go to see for professional or business reasons | examples=You should see a lawyer; We had to see a psychiatrist
12. sense_key=see%2:41:12:: | definition=go to see for a social visit | examples=I went to see my friend Mary the other day
13. sense_key=see%2:41:10:: | definition=go to see a place, as for entertainment | synonyms=visit | examples=We went to see the Eiffel Tower in the morning
14. sense_key=see%2:41:14:: | definition=take charge of or deal with | synonyms=attend, take care, look | examples=Could you see about lunch?; I must attend to this matter
15. sense_key=see%2:35:09:: | definition=receive as a specified guest | examples=the doctor will see you now; The minister doesn't see anybody before noon
16. sense_key=see%2:41:00:: | definition=date regularly; have a steady relationship with | synonyms=go steady, go out, date | examples=Did you know that she is seeing an older man?; He is dating his former wife again!
17. sense_key=see%2:39:05:: | definition=see and understand, have a good eye | examples=The artist must first learn to see
18. sense_key=see%2:31:08:: | definition=deliberate or decide | examples=See whether you can come tomorrow; let's see--which movie should we see tonight?
19. sense_key=see%2:39:11:: | definition=observe as if with an eye | examples=The camera saw the burglary and recorded it
20. sense_key=see%2:39:13:: | definition=observe, check out, and look over carefully or inspect | synonyms=examine | examples=The customs agent examined the baggage; I must see your passport before you can enter the country
21. sense_key=see%2:39:12:: | definition=go or live through | synonyms=experience, go through | examples=We had many trials to go through; he saw action in Viet Nam
22. sense_key=see%2:38:03:: | definition=accompany or escort | synonyms=escort | examples=I'll see you to the door
23. sense_key=see%2:33:00:: | definition=match or meet | examples=I saw the bet of one of my fellow players
24. sense_key=see%2:31:13:: | definition=make sense of; assign a meaning to | synonyms=interpret, construe | examples=What message do you see in this letter?; How do you interpret his behavior?

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

reasoning_content: We need to choose the best sense for "see" in the context: "By double clicking on them you will <t>see</t> a dialog that lets you change their values". The action is that double-clicking causes a dialog to appear, and the user perceives it visually. The sentence says "you will see a dialog", meaning you will visually perceive the dialog on screen. Sense 1 is "perceive by sight or have the power to perceive by sight". That fits well. Other senses like 2 (understand mentally) are possible but the primary meaning here is visual. Sense 6 (get to know or become aware of) could also fit but it's less direct. The examples for sense 1 include "Can you see the bird in that tree?" which is similar to seeing a dialog. So sense 1 is best.

provider: DeepInfra


[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: let
Target surface form: lets
Context:
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 list of the declared variables. By double clicking on them you will see a dialog that <t>lets</t> you change their values (just a way to trick the log). Every time you enter an expression, the " ans " variable value will be changed to the last result.

Candidate senses:
1. sense_key=let%2:41:00:: | definition=make it possible through a specific action or lack of action for something to happen | synonyms=allow, permit | examples=This permits the water to rush in; This sealed door won't allow the water come into the basement
2. sense_key=let%2:32:00:: | definition=actively cause something to happen | examples=I let it be known that I was not interested
3. sense_key=let%2:32:02:: | definition=consent to, give permission | synonyms=permit, allow, countenance | examples=She permitted her son to visit her estranged husband; I won't let the police search her basement
4. sense_key=let%2:30:01:: | definition=cause to move; cause to be in a certain position or condition | synonyms=get, have | examples=He got his squad on the ball; This let me in for a big surprise
5. sense_key=let%2:30:00:: | definition=leave unchanged | examples=let it be
6. sense_key=let%2:40:00:: | definition=grant use or occupation of under a term of contract | synonyms=lease, rent | examples=I am leasing my country estate to some foreigners

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

reasoning_content: We are given the target lemma "let" and the surface form "lets" in context. The sentence: "By double clicking on them you will see a dialog that <t>lets</t> you change their values." This is a classic use of "lets" meaning "allows" or "permits". The dialog enables the user to change values. This aligns with sense 1: "make it possible through a specific action or lack of action for something to happen" with synonyms allow, permit. Also sense 3: "consent to, give permission" also fits, but sense 1 is more about enabling through action. The examples for sense 1: "This permits the water to rush in" etc. Sense 3: "I won't let the police search her basement." The context is about a dialog that enables an action. I think sense 1 is more appropriate because it's about making it possible through a specific action (the dialog appearing). Sense 3 is more about permission. The dialog doesn't give permission per se; it provides the ability. However, the line between them is thin. Looking at the senses in WordNet: sense 1 is "make it possible through a specific action or lack of action for something to happen" and sense 3 is "consent to, give permission". In the context, the dialog "lets you change their values" means it allows or enables you to do so. This could be seen as either. But the example for sense 1: "This permits the water to rush in" is similar to enabling. The example for sense 3: "I won't let the police search her basement" is about giving permission. Here, the dialog is a tool; it's not a person giving permission, it's a mechanism that enables. So sense 1 is more fitting. Also note that sense 2 is "actively cause something to happen" but that's different. So I'll choose sense 1. Thus the JSON should be {"sense_index": 1}.

provider: Alibaba


[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: change
Target surface form: change
Context:
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 list of the declared variables. By double clicking on them you will see a dialog that lets you <t>change</t> their values (just a way to trick the log). Every time you enter an expression, the " ans " variable value will be changed to the last result.

Candidate senses:
1. sense_key=change%2:30:01:: | definition=cause to change; make different; cause a transformation | synonyms=alter, modify | examples=The advent of the automobile may have altered the growth pattern of the city; The discussion has changed my thinking about the issue
2. sense_key=change%2:30:00:: | definition=undergo a change; become different in essence; losing one's or its original nature | examples=She changed completely as she grew older; The weather changed last night
3. sense_key=change%2:30:02:: | definition=become different in some particular way, without permanently losing one's or its former characteristics or essence | synonyms=alter, vary | examples=her mood changes in accordance with the weather; The supermarket's selection of vegetables varies according to the season
4. sense_key=change%2:30:05:: | definition=lay aside, abandon, or leave for another | synonyms=switch, shift | examples=switch to a different brand of beer; She switched psychiatrists
5. sense_key=change%2:30:03:: | definition=change clothes; put on different clothes | examples=Change before you go to the opera
6. sense_key=change%2:30:04:: | definition=exchange or replace with another, usually of the same kind or category | synonyms=exchange, commute, convert | examples=Could you convert my dollars into pounds?; He changed his name
7. sense_key=change%2:40:00:: | definition=give to, and receive from, one another | synonyms=exchange, interchange | examples=Would you change places with me?; We have been exchanging letters for a year
8. sense_key=change%2:38:00:: | definition=change from one vehicle or transportation line to another | synonyms=transfer | examples=She changed in Chicago on her way to the East coast
9. sense_key=change%2:30:08:: | definition=become deeper in tone | synonyms=deepen | examples=His voice began to change when he was 12 years old; Her voice deepened when she whispered the password
10. sense_key=change%2:30:06:: | definition=remove or replace the coverings of | examples=Father had to learn how to change the baby; After each guest we changed the bed linens

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

reasoning_content: We need to determine the correct sense of "change" in the context: "By double clicking on them you will see a dialog that lets you change their values". The target is "change" as in modifying values of variables. This is a causative action: the dialog allows the user to cause the values to be different. Sense 1 is "cause to change; make different; cause a transformation". That fits well. Sense 2 is undergo a change, but here the user is actively changing values, not undergoing. Sense 3 is become different in some particular way, but again passive. Sense 4 is lay aside or abandon, not relevant. Sense 5 change clothes, no. Sense 6 exchange or replace, could be related but "change values" is more about modifying them, not necessarily exchanging with another. Sense 7 exchange between people, no. Sense 8 change transportation, no. Sense 9 become deeper in tone, no. Sense 10 remove or replace coverings, no. Thus sense 1 is best.


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

[User]
Target lemma: value
Target surface form: values
Context:
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 list of the declared variables. By double clicking on them you will see a dialog that lets you change their <t>values</t> (just a way to trick the log). Every time you enter an expression, the " ans " variable value will be changed to the last result.

Candidate senses:
1. sense_key=value%1:09:00:: | definition=a numerical quantity measured or assigned or computed | examples=the value assigned was 16 milliseconds
2. sense_key=value%1:07:00:: | definition=the quality (positive or negative) that renders something desirable or valuable | examples=the Shakespearean Shylock is of dubious value in the modern world
3. sense_key=value%1:21:00:: | definition=the amount (of money or goods or services) that is considered to be a fair equivalent for something else | synonyms=economic value | examples=he tried to estimate the value of the produce at normal prices
4. sense_key=value%1:07:01:: | definition=relative darkness or lightness of a color; -Joe Hing Lowe | examples=I establish the colors and principal values by organizing the painting into three values--dark, medium...and light
5. sense_key=value%1:28:00:: | definition=(music) the relative duration of a musical note | synonyms=time value, note value
6. sense_key=value%1:09:01:: | definition=an ideal accepted by some individual or group | examples=he has old-fashioned values

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

reasoning_content: We need to choose the best sense for "values" in the context. The context is about a calculator/console where variables have values that can be changed. The sentence: "By double clicking on them you will see a dialog that lets you change their values (just a way to trick the log)." This refers to numerical quantities assigned to variables. So sense 1: "a numerical quantity measured or assigned or computed" fits perfectly. Sense 6 is about ideals or principles, not relevant. Sense 2 is about quality desirable/valuable, not numerical. Sense 3 is economic value, not relevant. Sense 4 is color lightness, no. Sense 5 is music note duration. So answer is sense 1.

provider: Morph


[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: just
Target surface form: just
Context:
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 list of the declared variables. By double clicking on them you will see a dialog that lets you change their values (<t>just</t> a way to trick the log). Every time you enter an expression, the " ans " variable value will be changed to the last result.

Candidate senses:
1. sense_key=just%4:02:00:: | definition=and nothing more | synonyms=merely, simply, only, but | examples=I was merely asking; it is simply a matter of time
2. sense_key=just%4:02:05:: | definition=indicating exactness or preciseness | synonyms=precisely, exactly | examples=he was doing precisely (or exactly) what she had told him to do; it was just as he said--the jewel was gone
3. sense_key=just%4:02:01:: | definition=only a moment ago | synonyms=just now | examples=he has just arrived; the sun just now came out
4. sense_key=just%4:02:03:: | definition=absolutely | synonyms=simply | examples=I just can't take it anymore; he was just grand as Romeo
5. sense_key=just%4:02:04:: | definition=only a very short time before; ; ; ; ; - W.B.Yeats | synonyms=barely, hardly, scarcely, scarce | examples=they could barely hear the speaker; we hardly knew them
6. sense_key=just%4:02:06:: | definition=exactly at this moment or the moment described | examples=we've just finished painting the walls, so don't touch them

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

reasoning_content: We need to pick the best sense for "just" in the context. The context: "By double clicking on them you will see a dialog that lets you change their values (<t>just</t> a way to trick the log)." The phrase "just a way to trick the log" suggests that it's merely a simple method, not emphasizing exactness or time. The synonyms for sense 1 are "merely, simply, only, but". That fits: "just a way" meaning "only a way" or "merely a way". Sense 2 is about exactness (precisely), not fitting. Sense 3 is "only a moment ago" - not fitting. Sense 4 is "absolutely" (I just can't take it) - not fitting. Sense 5 is "barely" - not fitting. Sense 6 is "exactly at this moment" - not fitting. So sense 1 is correct.