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

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

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

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

reasoning_content:
We are given a target lemma "now" and the surface form "Now" in the context. The context is a passage about piecewise operations in kalgebra and MathML. The sentence containing "Now" is: "Now you could ask me, why should the user mind about MathML?" This is a rhetorical transition, introducing a question that the speaker imagines the listener might ask. It's not about the present moment, not a command, not historical present, not immediate past, not without delay, not "in these times". It's a discourse marker indicating a change of subject or activity, prefatory or transitional. That matches sense 6: definition=(prefatory or transitional) indicates a change of subject or activity. Examples: "Now the next problem is..." Similar to "Now you could ask me..."

Therefore, the best indexed sense is 6.


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: 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}.

finish_reason: stop

role: assistant

reasoning_content:
We are given: "Now you could <t>ask</t> me, why should the user mind about MathML?" The context is a hypothetical question that the reader might pose to the speaker. So "ask" here means to pose a question. The target word is "ask". The phrase "ask me" is followed by the content of the question: "why should the user mind about MathML?" So the sense is about inquiring or posing a question. Let's examine the candidate senses:

1. sense_index 1: "inquire about" (I asked about their special today; He had to ask directions several times). This is intransitive or with preposition "about". In our context, "ask me" is transitive with a clause as complement? Actually "ask me" could be "ask me something" where something is the question. But sense 1 is "inquire about" which takes an object of inquiry after "about". It's not a direct quotation or clausal complement. Example: "I asked about their special" - no direct question. In our sentence, "ask me, why should ..." is like "ask me a question". That's closer to sense 3: "direct or put; seek an answer to; ask a question". That fits: "ask me" could be like "ask a question". Sense 5: "address a question to and expect an answer from" examples: "Ask your teacher about trigonometry; The children asked me about their dead grandmother". Here "ask me" without "about" but with a direct question: "you could ask me, why should ..." That's a direct question, not "ask me about something". Sense 5 says "address a question to and expect an answer from" and the example "The children asked me about their dead grandmother" includes "about" but also "ask your teacher about trigonometry". Hmm, but the phrase "ask me" can be followed by a question clause, as in "He asked me where I was going." That is sense 3: "seek an answer to; ask a question". The definition "direct or put; seek an answer to" fits: "you could ask me [the question]: why should the user mind about MathML?" The verb "ask" takes a direct object (the question, implicit) and an indirect object "me". Sense 3 is exactly "ask a question". The example is "ask a question". So sense 3 is the most straightforward.

Sense 5 says "address a question to and expect an answer from". That's similar but emphasizes the recipient. The examples: "Ask your teacher about trigonometry", "The children asked me about their dead grandmother" - they use "about", not a direct quotative or clausal complement. So probably not.

Sense 1: inquire about, not correct.

Sense 2: make a request, not correct.

Sense 4: consider obligatory, not correct.

Sense 6: require as useful, not correct.

Sense 7: require or ask for as a price, not correct.

Thus, the best is sense 3: "direct or put; seek an answer to; ask a question". The sentence: "Now you could ask me, why should the user mind about MathML?" The "why should ..." is the question, so "ask me" means "put/ask a question to me" which matches precisely.

I will output {"sense_index": 3}.

format: unknown

native_finish_reason: stop

provider: SiliconFlow

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: 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 are asked to perform WSD on the target word "user" in the given context. The context is about a tutorial or explanation of Piecewise in kalgebra, mentioning MathML containers, and then a question: "why should the <t>user</t> mind about MathML?" The target is inside <t> tags. The word is "user". We have three candidate senses, all noun senses from WordNet:
1. a person who makes use of a thing; someone who uses or employs something (general user)
2. a person who uses something or someone selfishly or unethically (exploiter)
3. a person who takes drugs (drug user)

Context: The text is about a software or math tool (kalgebra), explaining piecewise definitions and MathML. The question "why should the user mind about MathML?" clearly refers to the person using the software. The user is the person employing or utilizing the software. No indication of exploitation or drugs. So sense 1 is the correct one.

Return JSON: {"sense_index": 1}

provider: Fireworks


[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 need to choose the best sense for "easy" in context. The context: "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."

The speaker says "That s easy." meaning the answer is obvious or simple, not difficult. The candidate senses: sense 1 is "posing no difficulty; requiring little effort". That fits perfectly. The other senses don't match: sense 2 unhurried, sense 3 free from worry, sense 4 affording pleasure, sense 5 gentle, sense 6 tricked, sense 7 financially, sense 8 steepness, sense 9 comfort, sense 10 unchaste, sense 11 less in demand, sense 12 abundant money. So sense 1 is clearly correct.

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: 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 tasked with performing Word Sense Disambiguation for the target lemma "function" in the given context. The context is: "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."

The target surface form is "functions", appearing as "<t>functions</t>" in the text. The context explicitly mentions "functions like cos(), sin(), any other trigonometric functions, sum () or product ()." This clearly refers to mathematical functions, specifically trigonometric functions and operations.

Now, review the candidate senses:

1. sense_key=function%1:24:00:: (mathematics) a mathematical relation... synonyms: mathematical function, single-valued function, map, mapping. This fits perfectly.
2. sense_key=function%1:07:00:: what something is used for (purpose, role, use) - not relevant.
3. sense_key=function%1:04:00:: actions and activities assigned to a person or group (office, part, role) - not relevant.
4. sense_key=function%1:24:01:: a relation such that one thing is dependent on another (e.g., height is a function of age) - this is a broader, non-technical mathematical relation, but the context mentions specific mathematical functions like cos(), sin(), so sense 1 is more precise.
5. sense_key=function%1:14:00:: formal or official social gathering - not relevant.
6. sense_key=function%1:11:00:: vaguely specified social event - not relevant.
7. sense_key=function%1:10:00:: subroutine in computer program - while sum() or product() could be seen as subroutines, in this context they are explicitly mathematical functions within MathML, not programming routines. The mention of cos(), sin() suggests standard mathematical functions. Sense 1 is best.

Thus, sense index 1 is the correct choice.

Output JSON: {"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: 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 are asked: "Target lemma: cos" and "Target surface form: cos()". The context includes: "we can operate with functions like <t>cos()</t>, sin(), any other trigonometric functions, sum () or product ()." So it's clearly the mathematical function cosine, abbreviated as "cos". Among the candidate senses, sense 1 is "cosine" with definition "ratio of the adjacent side to the hypotenuse of a right-angled triangle" and synonyms "cosine". That matches perfectly. Other senses are unrelated: lettuce, carbon monoxide, cobalt, conscientious objector, Colorado. So the best indexed sense is 1. We need to return only the JSON object: {"sense_index":

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: 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 are given a target lemma "sin" with surface form "sin()" in a context that discusses mathematical functions like cos(), sin(), trigonometric, sum, product. The context clearly indicates mathematical usage. Among the senses, sense 3 is "ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle" with synonym "sine", which is the mathematical function. That matches perfectly. The other senses are about religious transgression, a god, a letter, etc., which are not relevant. So the answer should be sense index 3.

provider: NextBit


[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 are given: "any <t>other</t> trigonometric functions". Context: "we can operate with functions like cos(), sin(), any other trigonometric functions, sum () or product ()." The phrase "any other trigonometric functions" means additional trigonometric functions besides cos and sin. So "other" here means "additional; not the same ones already mentioned." That matches sense 1: "not the same one or ones already mentioned or implied". Example: "today isn't any other day" is similar to "any other trigonometric functions". 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: 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 are asked to perform Word Sense Disambiguation for the word "sum" in the given context. We need to choose the best indexed sense from the candidate senses provided. The context is a technical discussion about MathML and using functions like cos(), sin(), trigonometric functions, and then "sum() or product()". The target word "sum" is inside a mathematical function context: "sum ()". It seems to refer to a mathematical operation, like summation. The candidate senses include various meanings related to money, addition, aggregate, etc. Let's examine each:

Sense 1: a quantity of money (e.g., "he borrowed a large sum"). Not mathematical.
Sense 2: a quantity obtained by the addition of a group of numbers. Synonyms: amount, total. This is a mathematical sum, a result of addition. But the context says "sum()" as a function, like a summation operator, not necessarily the result.
Sense 3: the final aggregate (summation, sum total). Examples: "the sum of all our troubles..." This could be a result but not typically a function.
Sense 4: the choicest or most essential part (kernel, essence). Not relevant.
Sense 5: the whole amount (total, totality, aggregate). Similar to sense 2 and 3, but again not specifically a function.
Sense 6: a set containing all and only the members of two or more given sets (union). This is a mathematical set operation, but "sum()" in the context of functions like cos, sin suggests a numeric sum, not set union. However, in some contexts, "sum" might be used for set union, but the example "let C be the union of the sets A and B" is about union, not sum. In math, "sum" can refer to addition of numbers, not sets. But the context mentions "sum() or product()" alongside trigonometric functions, so it's likely arithmetic sum.

The best fit is sense 2: a quantity obtained by the addition of a group of numbers. It is the mathematical concept of adding numbers. The function "sum()" likely computes the sum of numbers. Synonyms: amount, total. However, note that the definition says "a quantity obtained by the addition..." which is the result, but in programming/math, "sum()" can be a function that returns the sum. So it's the most appropriate sense.

Sense 6 is about set union, but that's less common in this context of trigonometry and product.

Thus, the best indexed sense is 2.

Now, we need to return a JSON object like {"sense_index": 2}.


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

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

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

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

reasoning_content: We are asked: Target lemma: product, Target surface form: product. Context: a phrase: "sum () or <t>product</t> ()." The context is about MathML, a container for mathematical notation. It mentions functions like cos(), sin(), trigonometric functions, sum() or product(). The product here is used as a mathematical function, like sum(). So the sense is about mathematical product, i.e., multiplication. The candidate sense 3: "a quantity obtained by multiplication", synonyms: mathematical product. The example "the product of 2 and 3 is 6." That fits perfectly. The other senses are about commodities, artifacts, chemical substances, consequences, or set theory intersection. None of these match the context. So answer: {"sense_index": 3}.


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

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

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

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

reasoning_content: We are asked to do word sense disambiguation for the word "use" in a specific context: "We can <t>use</t> plus(), times() and everything which has its operator." The context is about using functions like plus(), times() in a calculator-like console. So the meaning is employing or putting into service these functions. That aligns with sense 1: put into service; make work or employ for a particular purpose. The synonyms are utilize, utilise, apply, employ. The example "use your head!" is figurative, but the sense fits. Sense 2 is about consuming regularly (drugs), sense 3 is about using up, sense 4 is about taking advantage of people, sense 5 is about availing oneself to (like apply a principle), sense 6 is the habitual past "used to". Clearly sense 1 is correct. So output: {"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: 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: target lemma "plus", target surface form "plus()" in a text about MathML and calculator operations. Context includes "functions like cos(), sin(), sum () or product ()" and "we can use <t>plus()</t>, times() and everything which has its operator." So it's clearly talking about arithmetic operations. Candidate sense 2 is about arithmetic operation (summation, addition). Sense 1 is about a useful quality (asset). So sense_index 2 is correct.

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: 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 lemma "times" and the form "times()". The context is about mathematical functions in a programming or markup context: "We can use plus(), <t>times()</t> and everything which has its operator." The target is clearly a mathematical operator, multiplication. The sense that matches "times" as an arithmetic operation is sense 2: "an arithmetic operation that is the inverse of division; the product of two numbers is computed", synonyms include "multiplication". So sense_index 2.

Thus output: {"sense_index": 2}.


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

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

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

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

reasoning_content:
We are tasked with finding the best indexed sense for "has" in the given context. The target lemma is "have", surface form "has". The 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."

The bolded part: "everything which has its operator." So the phrase "has its operator" means that each function (plus(), times(), etc.) possesses its own operator, or features an operator. So the sense is likely about having as a feature or possessing something.

Let's examine the candidate senses:

1. sense_key=have%2:40:00:: | definition=have or possess, either in a concrete or an abstract sense | synonyms=have got, hold | examples=She has $1,000 in the bank; He has got two beautiful daughters.
   This is a general possession sense. It could fit: "everything which has its operator" - each thing possesses its operator. But note that "operator" here might be a feature, not necessarily a concrete possession.

2. sense_key=have%2:42:00:: | definition=have as a feature | synonyms=feature | examples=This restaurant features the most famous chefs in France.
   This is explicitly about having as a feature. "Everything which has its operator" meaning the operator is a feature of that function/operator. This seems precise.

3. sense_key=have%2:39:06:: | go through (mental or physical states or experiences): Not relevant.

4. sense_key=have%2:40:04:: | have ownership or possession of: Similar to sense 1, but more concrete ownership. Could work but maybe less fitting than "feature".

5. sense_key=have%2:30:00:: | cause to move; cause to be in a certain position or condition: Not relevant.

6. sense_key=have%2:34:00:: | consume: Not relevant.

7. sense_key=have%2:41:00:: | have a personal or business relationship: Not relevant.

8. sense_key=have%2:36:00:: | organize or be responsible for: Not relevant.

9. sense_key=have%2:40:01:: | have left: Not relevant.

10. sense_key=have%2:42:12:: | be confronted with: "What do we have here?" Not fitting.

11. sense_key=have%2:30:01:: | undergo: Not relevant.

12. sense_key=have%2:29:02:: | suffer from; be ill with: Not relevant.

13. sense_key=have%2:32:00:: | cause to do: Not relevant.

14. sense_key=have%2:40:05:: | receive willingly: Not relevant.

15. sense_key=have%2:40:03:: | get something; come into possession of: Not relevant; it's about receiving, not static possession.

16. sense_key=have%2:29:05:: | undergo injuries: Not relevant.

17. sense_key=have%2:40:02:: | achieve a point: Not relevant.

18. sense_key=have%2:29:00:: | give birth: Not relevant.

19. sense_key=have%2:35:00:: | have sex: Not.

So the most appropriate are senses 1 and 2. Sense 1: "have or possess, either in a concrete or an abstract sense" with example "She has $1,000". That could fit "has its operator" meaning the function possesses an operator. Sense 2: "have as a feature" matches precisely: each function/operator features its own operator. But note: the phrase is "plus(), times() and everything which has its operator." Plus and times are themselves operators. So they have an operator? That might be a slightly weird phrasing. It might mean that each mathematical construct has its corresponding operator representation in MathML. So "everything which has its operator" could be interpreted as "everything that comes with its own operator" or "everything that includes an operator". So "has as a feature" is very appropriate. Sense 1 is broader, but WordNet often has fine-grained distinctions. The context is about MathML allowing us to operate with functions, and we can use plus(), times() and everything which has its operator. The sense of "feature" is more specific to attributes. So I think sense 2 is the best.

Let's double-check: sometimes WordNet indexes treat "have" as a light verb, but here it's clearly lexical. Sense index 2 is the second in the list. So answer should be {"sense_index": 2}.


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

[User]
Target lemma: 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 a target lemma "operator" and its surface form "operator". The context is about MathML and using various functions like cos, sin, trigonometric, sum, product, plus, times. Specifically: "we can use plus(), times() and everything which has its <t>operator</t>". The word "operator" appears within <t> tags, indicating it's a term. The context is clearly mathematical. The first sense is: "(mathematics) a symbol or function representing a mathematical operation". That matches perfectly: plus, times, cos, sin are all mathematical operators. The other senses are about an agent operating a machine, someone who owns a business, a shrewd person, or a speculator. None of those fit the mathematical context. So sense 1 is the correct one.

Now return JSON as specified: {"sense_index": 1}


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

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

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

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

reasoning_content:
We are given the target lemma "useful" and its 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."

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

We need to choose the single best indexed sense. Note that the sense keys indicate sense 1 is an index 1 sense, and sense 2 is an index 2 sense? But the instructions say return a JSON object like {"sense_index": 3} with the index. So we need to return the index of the chosen sense, either 1 or 2. But the example says 3, which is just an example.

Now, analyze the context: "kalgebra's console is useful as a calculator." The word "useful" is used predicatively with a complement "as a calculator", meaning it serves a purpose. Sense 1 is general: being of use or service. Sense 2 is more specific: having a useful function, synonyms utilitarian, with example "utilitarian steel tables". Sense 2 emphasizes functioning as something useful rather than just being generally useful. The example for sense 2 is about something designed for utility. In the context, the console is useful for a specific function (as a calculator). The phrase "as a calculator" suggests it has a useful function, i.e., it functions as a calculator. So sense 2 seems more precise. However, sense 1 is very broad and could also fit. But sense 2 captures the instrumental nature of the console being used as a tool. Also, the definition "having a useful function" matches the pattern "useful as X" meaning it serves the function of X. The examples for sense 1 are about a person feeling useful or a useful job, which don't have the "as" complement. So sense 2 is more apt.

Thus, I'll choose sense index 2.

Return: {"sense_index": 2}


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

[User]
Target lemma: 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 asked to disambiguate the target word "There" in the given context. The target is capitalized and appears at the beginning of a sentence: "<t>There</t> you have a list of the declared variables." We need to choose the best sense from three candidate senses.

Let's analyze the context: The paragraph talks about MathML and kalgebra's console. The sentence: "There you have a list of the declared variables." The word "There" seems to be used as an expletive or to introduce the existence of something? Actually, "There you have" is a common phrase meaning something like "Here is" or "There exists." But the candidate senses are all adverbial senses: place, matter, or direction. None of them directly match an existential "there" construction. However, "there" in existential constructions (like "There is") is usually a dummy subject, not one of these adverbial senses. But here, "There you have a list" might be parsed as "In that place, you have a list" or "In that respect, you have a list"? Or it could be a set phrase. Let's check the examples: For sense 1: "they have lived there for years; it's not there" – this refers to a location. Sense 2: "I agree with you there" – this means "on that point." Sense 3: "go there around noon!" – direction. In the given context, "There you have a list..." – "There" is not referring to a physical location. It seems more like "In that matter" or "On that point." For instance, the sentence is demonstrating where the list of declared variables is, perhaps within the console interface. But it says "There you have a list..." – if we rephrase: "You have a list of the declared variables there." That "there" could be indicating a location in the interface. The context says "kalgebra's console is useful as a calculator. There you have a list of the declared variables." So the speaker is pointing to the console, saying "in that place (the console), you have a list." That sounds like a location: in the console, there is a list. So sense 1: "in or at that place" might be appropriate, referring to the console. However, the phrase "there you have" is often used to mean "here it is" or "that's where you find." It doesn't necessarily imply a spatial location. But given the options, sense 2 "in that matter" is more about a topic: "I agree with you there" meaning on that point. In this context, it's not a matter of agreement but presenting a list within a tool. The location sense seems plausible: "In that place (the console), you have a list." Also, note that the target word is "There" with a capital T, but that's just sentence start. So I lean toward sense 1.

Let's double-check the definition of sense 1: "in or at that place" – synonyms: at that place, in that location. The example: "they have lived there for years; it's not there." That fits: you have a list there (in the console). Sense 2: "in that matter" – synonyms: in that respect, on that point – example: "I agree with you there" – this is more abstract, not spatial. The context does not involve agreeing on a point; it's showing where something is. So sense 1 seems better.

Thus, I'll choose {"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 are asked to choose the best sense for "have" in the given context. The sentence: "There you have a list of the declared variables." In the context, it's talking about kalgebra's console, and saying "There you have a list of the declared variables." The meaning is that in that console, a list is provided or exists. It's like "there is a list" or "you can find a list there". The phrase "there you have" is somewhat idiomatic, meaning "there it is" or "there is". It's not about ownership, consumption, causation, etc. It's about existence or presentation.

Looking at the senses:
1. have or possess (concrete or abstract) - "She has $1,000" - that's about possession. The list is not owned by the user, it's there.
2. have as a feature - "This restaurant features the most famous chefs" - that's about a characteristic. Could fit: the console features/has a list. But "there you have" is more like "you see there a list" rather than the console featuring it as a property.
3. go through experiences - doesn't fit.
4. ownership or possession - similar to 1, not about owning.
5. cause to move - no.
6. consume regularly - no.
7. have a personal or business relationship - no.
8. organize or be responsible for - no.
9. have left - no.
10. be confronted with: "What do we have here?" - This is an idiomatic use: "What do we have here?" means "What is this that we see?" Similarly, "Now we have a fine mess" means we are confronted with a mess. The example "What do we have here?" matches the "there you have" structure. Here, "There you have a list..." could mean "There you see a list" or "There is a list for you to see". Sense 10 is: "be confronted with" with examples: "What do we have here?" that seems very close. It's used when pointing out something that is present. So this seems like the best fit.
11. undergo - no.
12. suffer from - no.
13. cause to do - no.
14. receive willingly - no.
15. get something - no.
16. undergo injuries - no.
17. achieve a point - no.
18. give birth - no.
19. have sex - no.

Thus sense 10 (sense_index=10) is the most appropriate. The definition is "be confronted with", and the example "What do we have here?" is similar to "There you have a list". It's about being presented with something.

Double-check: The context says "There you have a list of the declared variables." It's like pointing to the console and saying "there it is". It's not about feature sense because the user doesn't "have" it, it's just there. Sense 10 captures that.

Therefore, output: {"sense_index": 10}


[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 are asked: "Target lemma: list, Target surface form: list, Context: ... There you have a list of the declared variables." The candidate senses: (1) a database containing an ordered array of items (names or topics), synonyms=listing; (2) the property possessed by a line or surface that departs from the vertical, synonyms=tilt, inclination, lean, leaning, examples about tower tilt or ship list. The context is about a list of declared variables in kalgebra's console. That matches sense 1: an ordered array of items. Sense 2 is a tilt, which does not fit. So choose sense index 1. Return JSON: {"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: 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 asked to choose the best sense for "variables" in the given context. The target word is "variable", surface form "variables". The context is about MathML, kalgebra's console, and it says: "There you have a list of the declared <t>variables</t>." The context is about mathematical variables that are declared and whose values can be changed via a dialog. So it's clearly about mathematical variables used in calculator-like operations.

Now, look at the 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

The context is clearly mathematical/computer programming context. Sense 4 is about symbols used in mathematical expressions. Sense 2 is a quantity that can assume any of a set of values. The context mentions "declared variables" and changing their values. That's typical of variables in programming or mathematical software, where a variable is a symbol that holds a value. Sense 4 explicitly says "a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity." That fits perfectly: declared variables that you can change values of. Sense 2 is more abstract: the quantity itself, not the symbol. In many contexts, "variable" can mean either, but here it's "list of the declared variables", and they are symbols in the system. The phrase "declared variables" strongly suggests the symbolic representation. So sense 4 is the best.

Thus, the answer should be {"sense_index": 4}.


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

[User]
Target lemma: 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 are asked to perform word sense disambiguation for the target lemma "see" in the given context. The context is instructions about a calculator console, and the sentence: "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)." The meaning of "see" here is clearly about perceiving visually: double-clicking will cause a dialog to appear, and you will perceive it with your sight. It's the basic visual sense.

Now, let's look at the candidate senses provided. Sense 1: "perceive by sight or have the power to perceive by sight" with example "Can you see the bird in that tree?" That matches perfectly. Other senses might be tempting but don't fit as well. For instance, sense 7 "see or watch" (like viewing a show) is also about visual perception but more active watching; the example "view a show on television" suggests a longer viewing event. Here, it's simply the appearance of a dialog that you see momentarily, not watching a program. Sense 3 "perceive or be contemporaneous with" like "witness" might work if you witness a dialog appearing, but that's more abstract (you witness an event). The primary visual sense fits naturally. Sense 20 "observe, check out, and look over carefully or inspect" is too strong. Sense 9 "find out or determine" doesn't fit because you're not investigating; you see the dialog visually. Sense 5 "deem to be" is not applicable. So sense 1 is the best.

We need to output a JSON object like {"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: 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 a target lemma "let" with surface form "lets" in the 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."

We need to disambiguate "lets" in the phrase "a dialog that <t>lets</t> you change their values". The surface form "lets" is third person singular present of "let". So the sense is of the verb "let".

We have six candidate senses.

Let's examine the context: "a dialog that lets you change their values" -> the dialog allows you to change the values. It's about enabling or permitting an action. The dialog provides a way to change the values. So the meaning is that the dialog makes it possible or gives you the ability to change the values.

Now, compare with 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

This sense is about making something possible, often through some action or inaction. Example: "This permits the water to rush in" – something enables an event. In our context, the dialog enables you to change values. So this fits well.

2. sense_key=let%2:32:00:: | definition=actively cause something to happen | examples=I let it be known that I was not interested

This is more about causing an event deliberately, like "let it be known". Not exactly an enabling sense; more like "make something happen". In context, the dialog isn't actively causing a change; it's providing a means to do so. So this is less fitting.

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

This is about giving permission, often by an authority. The dialog isn't giving consent; it's a tool that enables. So this doesn't fit well.

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

That's about causing a change of state or position, like "let him in" or "let me in for a surprise". Not applicable here; the dialog doesn't move you.

5. sense_key=let%2:30:00:: | definition=leave unchanged | examples=let it be

This is like "let it be" – leaving something alone. Not relevant.

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

This is renting/leasing. Not relevant.

Thus, the best fit is sense 1: allowing or permitting something to happen by making it possible. The dialog enables you to change values. Sense 1 explicitly says "make it possible through a specific action or lack of action for something to happen" and synonyms are allow, permit. The example "This permits the water to rush in" is similar to "this dialog permits/allows you to change...". So sense 1 is correct.

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


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

[User]
Target lemma: 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 are asked to perform Word Sense Disambiguation for the lemma "change" with surface form "change" in the given context. We must choose the best indexed sense from the list of 10 candidate senses. The instruction says: return only a JSON object exactly like {"sense_index": 3}.

Let's examine the 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."

The target is "change" in the phrase "lets you change their values". The dialog allows the user to alter or modify the values of variables. So the sense is about causing a change: making the values different. It's a transitive use: you change something (their values). So the subject (you) causes the object (values) to be different.

Now evaluate each candidate sense:

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

This is transitive, meaning to cause something to change. That fits perfectly: "lets you change their values" means you cause the values to change, you alter them.

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

This is intransitive: something undergoes change. Not the case here because it's "you change their values" – you are acting on them, not the values changing by themselves.

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

Also intransitive: become different. Not a match.

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

This implies switching from one thing to another. Not applicable here; you aren't switching variables, you're modifying their values.

5. sense_key=change%2:30:03:: definition=change clothes; put on different clothes examples=Change before you go to the opera

Clearly not about variable values.

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

This sense is about replacing one thing with another of the same kind (e.g., changing money, changing one's name). Here you are not exchanging the variable for another, but altering its value. You might change the value from 5 to 10, but that's altering, not exchanging the variable itself. So not this.

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

Again, exchange between two parties. Not applicable.

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

Not relevant.

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

Voice change, not relevant.

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

That is about changing clothes or linens, etc. Not relevant.

Thus, sense 1 is clearly the intended meaning: cause to change, alter. So we choose index 1.

Return {"sense_index": 1}.


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

[User]
Target lemma: 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 are asked to perform word sense disambiguation for the target lemma "value", surface form "values", in the given context. We have 6 candidate senses. The context is about a calculator console (kalgebra) where variables have values that can be changed, and the "ans" variable value changes to the last result. The phrase: "a dialog that lets you change their values". Clearly, we are talking about numerical quantities assigned to variables. Sense 1: "a numerical quantity measured or assigned or computed" matches perfectly. The example: "the value assigned was 16 milliseconds" also fits the idea of assigning a value. Sense 6: "an ideal accepted by some individual or group" doesn't fit at all. So the answer is sense 1.

Return JSON: {"sense_index": 1}