[User]
Which numbered sense of "look" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they <t>look</t> very similar. + - * /: Addition, subtraction, multiplication and division.

Senses:
1. definition=perceive with attention; direct one's gaze towards | examples=She looked over the expanse of land; Look at your child!
2. definition=give a certain impression or have a certain outward aspect | synonyms=appear, seem | examples=She seems to be sleeping; This appears to be a very difficult problem
3. definition=have a certain outward or facial expression | examples=How does she look?; The child looks unhappy
4. definition=search or seek | synonyms=search | examples=We looked all day and finally found the child in the forest; Look elsewhere for the perfect gift!
5. definition=be oriented in a certain direction, often with respect to another reference point; be opposite to | synonyms=front, face | examples=The house looks north; My backyard look onto the pond
6. definition=take charge of or deal with | synonyms=attend, take care, see | examples=Could you see about lunch?; I must attend to this matter
7. definition=convey by one's expression | examples=She looked her devotion to me
8. definition=look forward to the probable occurrence of | synonyms=expect, await, wait | examples=We were expecting a visit from our relatives; She is looking to a promotion
9. definition=accord in appearance with | examples=You don't look your age!
10. definition=have faith or confidence in | synonyms=count, bet, depend, calculate, reckon | examples=you can count on me to help you any time; Look to your friends for support

reasoning_content:
1.  **Analyze the context:** The sentence containing the target word is: "I ve looked closely to maxima and maple s syntax so they <t>look</t> very similar."
2.  **Identify the function of "look" in the sentence:** The speaker is comparing the syntax of Maxima and Maple. The syntax *appears* or *seems* very similar to the speaker.
3.  **Examine the senses provided:**
    *   1. Perceive with attention (gaze). (Incorrect - not about physical sight.)
    *   2. Give a certain impression or have a certain outward aspect (appear, seem). (Matches the meaning: the syntax *appears* similar.)
    *   3. Have a certain outward or facial expression. (Incorrect - not about expression.)
    *   4. Search or seek. (Incorrect - not about searching.)
    *   5. Be oriented in a certain direction. (Incorrect - not about direction.)
    *   6. Take charge of or deal with. (Incorrect - not about managing.)
    *   7. Convey by one's expression. (Incorrect - not about expression.)
    *   8. Look forward to the probable occurrence. (Incorrect - not about anticipation.)
    *   9. Accord in appearance with. (This is very close, but Sense 2 is the standard definition for "appear/seem" in this context.)
    *   10. Have faith or confidence in. (Incorrect - not about trust.)
4.  **Compare Sense 2 and Sense 9:**
    *   Sense 2: definition=give a certain impression or have a certain outward aspect | synonyms=appear, seem.
    *   Sense 9: definition=accord in appearance with.
    *   The phrase "they look very similar" means "they appear very similar." Sense 2 captures this meaning perfectly using the synonyms "appear, seem."
5.  **Select the best fit:** Sense 2 is the most accurate and common usage for "look" meaning "appear" or "seem."

6.  **Final check:** "I ve looked closely... so they look very similar." -> "They appear very similar." (Sense 2).


attempt_kind: initial

status: success

[User]
Which numbered sense of "very" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look <t>very</t> similar. + - * /: Addition, subtraction, multiplication and division.

Senses:
1. definition=used as intensifiers; `real' is sometimes used informally for `really'; `rattling' is informal | synonyms=really, real, rattling | examples=she was very gifted; he played very well
2. definition=precisely so | examples=on the very next page; he expected the very opposite

finish_reason: stop

role: assistant

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of the word "very" (marked with `<t>very</t>`) is used in the provided context. The output must be *only* the number of the correct sense.

2.  **Analyze the Context:**
    "...I ve looked closely to maxima and maple s syntax so they look <t>very</t> similar."

3.  **Analyze the Target Word Usage:** In the sentence, "very similar" means "extremely similar" or "almost identical in appearance/structure."

4.  **Analyze the Senses:**
    *   **Sense 1:** `definition=used as intensifiers; ... synonyms=really, real, rattling | examples=she was very gifted; he played very well`
        *   *Function:* Intensification (making an adjective stronger).
        *   *Match Check:* "Very similar" is an intensification of the adjective "similar." This fits the definition.
    *   **Sense 2:** `definition=precisely so | examples=on the very next page; he expected the very opposite`
        *   *Function:* Emphasis on exactness or immediacy (often used with time/place/degree).
        *   *Match Check:* "Very similar" does not mean "precisely so" in the sense of exact location or timing. This does not fit.

5.  **Conclusion:** The usage "very similar" is an intensifier, matching Sense 1.

6.  **Final Output Generation:** Return only the number 1.

currency: USD

source: unavailable


[User]
Which numbered sense of "similar" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very <t>similar</t>. + - * /: Addition, subtraction, multiplication and division.

Senses:
1. definition=marked by correspondence or resemblance | examples=similar food at similar prices; problems similar to mine
2. definition=having the same or similar characteristics | synonyms=alike, like | examples=all politicians are alike; they looked utterly alike
3. definition=resembling or similar; having the same or some of the same characteristics; often used in combination | synonyms=like | examples=suits of like design; a limited circle of like minds
4. definition=(of words) expressing closely related meanings
5. definition=capable of replacing or changing places with something else; permitting mutual substitution without loss of function or suitability | synonyms=exchangeable, interchangeable, standardized, standardised | examples=interchangeable electric outlets; interchangeable parts

reasoning_content:
1.  **Analyze the context:** The sentence is: "I ve looked closely to maxima and maple s syntax so they look very <t>similar</t>."
2.  **Determine the meaning of "similar" in this context:** The speaker is comparing the syntax of two programs (Maxima and Maple). The syntax looks alike, meaning they share characteristics or resemble each other.
3.  **Evaluate the senses provided:**

    *   **Sense 1:** definition=marked by correspondence or resemblance | examples=similar food at similar prices; problems similar to mine. (Focuses on correspondence/resemblance, often in specific contexts like prices or problems.)
    *   **Sense 2:** definition=having the same or similar characteristics | synonyms=alike, like | examples=all politicians are alike; they looked utterly alike. (Focuses on shared characteristics, general resemblance.)
    *   **Sense 3:** definition=resembling or similar; having the same or some of the same characteristics; often used in combination | synonyms=like | examples=suits of like design; a limited circle of like minds. (Focuses on resemblance/shared characteristics, often used when describing things that share traits.)
    *   **Sense 4:** definition=(of words) expressing closely related meanings. (This is about synonyms, not visual/structural resemblance.)
    *   **Sense 5:** definition=capable of replacing or changing places with something else; permitting mutual substitution without loss of function or suitability | synonyms=exchangeable, interchangeable, standardized, standardised | examples=interchangeable electric outlets; interchangeable parts. (This is about interchangeability, not just looking alike.)

4.  **Match the context to the best sense:**
    *   The syntax of Maxima and Maple is being compared based on its structure/appearance ("look very similar").
    *   Sense 2 ("having the same or similar characteristics") fits well.
    *   Sense 3 ("resembling or similar; having the same or some of the same characteristics") also fits very well, perhaps slightly better as it emphasizes the *resemblance* aspect, which is key when comparing syntax.

5.  **Refine the choice between 2 and 3:**
    *   Context: "they look very similar." (Focus on appearance/structure.)
    *   Sense 2: "having the same or similar characteristics." (General description of shared traits.)
    *   Sense 3: "resembling or similar; having the same or some of the same characteristics." (Explicitly includes "resembling," which is the core idea when comparing syntax.)

6.  **Conclusion:** Sense 3 is the most precise fit for comparing the structural resemblance of two syntaxes.


[User]
Which numbered sense of "addition" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: <t>Addition</t>, subtraction, multiplication and division. ^, **: Power, you can use them both.

Senses:
1. definition=a component that is added to something to improve it | synonyms=add-on, improver | examples=the addition of a bathroom was a major improvement; the addition of cinnamon improved the flavor
2. definition=the act of adding one thing to another | examples=the addition of flowers created a pleasing effect; the addition of a leap day every four years
3. definition=a quantity that is added | synonyms=increase, gain | examples=there was an addition to property taxes this year; they recorded the cattle's gain in weight over a period of weeks
4. definition=something added to what you already have | synonyms=accession | examples=the librarian shelved the new accessions; he was a new addition to the staff
5. definition=a suburban area laid out in streets and lots for a future residential area
6. definition=the arithmetic operation of summing; calculating the sum of two or more numbers | synonyms=summation, plus | examples=the summation of four and three gives seven; four plus three equals seven

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of "addition" (marked with `<t>Addition</t>`) is used in the provided context. The output must be only the number.

2.  **Analyze the Context:** The relevant sentence is: "I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: <t>Addition</t>, subtraction, multiplication and division. ^, **: Power, you can use them both."

3.  **Determine the Meaning of "Addition" in Context:** In this list (+, -, *, /, <t>Addition</t>, etc.), "Addition" refers to the mathematical operation represented by the '+' symbol.

4.  **Evaluate the Senses:**
    *   Sense 1: Component added to improve (e.g., add-on). (Incorrect - not about improvement.)
    *   Sense 2: The act of adding one thing to another (general process). (Too broad, but related to the action.)
    *   Sense 3: A quantity that is added (e.g., increase). (Incorrect - refers to the result/amount, not the operation.)
    *   Sense 4: Something added to what you already have (accession). (Incorrect - refers to a new item/member.)
    *   Sense 5: Suburban area. (Incorrect - unrelated.)
    *   Sense 6: The arithmetic operation of summing; calculating the sum of two or more numbers (synonyms: summation, plus). (Correct - this precisely describes the function of the '+' symbol in mathematical syntax.)

5.  **Select the Best Match:** Sense 6 is the correct definition for "Addition" when listed alongside other mathematical operators (+, -, *, /).

6.  **Final Output Generation:** Return only the number 6.


[User]
Which numbered sense of "subtraction" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, <t>subtraction</t>, multiplication and division. ^, **: Power, you can use them both.

Senses:
1. definition=an arithmetic operation in which the difference between two numbers is calculated | synonyms=minus | examples=the subtraction of three from four leaves one; four minus three equals one
2. definition=the act of subtracting (removing a part from the whole) | synonyms=deduction | examples=he complained about the subtraction of money from their paychecks

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of "subtraction" (Sense 1 or Sense 2) is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:**
    *   The context describes the syntax of a calculator/algebra program (kalgebra).
    *   It lists mathematical operators: "+ - * /: Addition, <t>subtraction</t>, multiplication and division. ^, **: Power...".
    *   The context is discussing how the input syntax works, specifically listing the symbols used for basic arithmetic operations.

3.  **Analyze the Senses:**
    *   **Sense 1:** definition=an arithmetic operation in which the difference between two numbers is calculated | synonyms=minus | examples=the subtraction of three from four leaves one; four minus three equals one. (Focuses on the *calculation* of the difference.)
    *   **Sense 2:** definition=the act of subtracting (removing a part from the whole) | synonyms=deduction | examples=he complained about the subtraction of money from their paychecks. (Focuses on the *process* of removal/deduction.)

4.  **Connect Context to Sense:**
    *   The context lists "subtraction" alongside "+", "-", "*", and "/". These are standard mathematical operators used for calculating differences (e.g., 5 - 3 = 2).
    *   Sense 1 perfectly matches this mathematical, arithmetic definition.
    *   Sense 2 (deduction/removal of a part) is more related to accounting or physical removal, not the fundamental mathematical operator being described here.

5.  **Conclusion:** The context uses "subtraction" in the mathematical sense of calculating the difference, which corresponds to Sense 1.

6.  **Final Output Generation:** Return only the number 1.


[User]
Which numbered sense of "multiplication" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, <t>multiplication</t> and division. ^, **: Power, you can use them both.

Senses:
1. definition=the act of producing offspring or multiplying by such production | synonyms=generation, propagation
2. definition=a multiplicative increase | examples=repeated copying leads to a multiplication of errors; this multiplication of cells is a natural correlate of growth
3. definition=an arithmetic operation that is the inverse of division; the product of two numbers is computed | synonyms=times | examples=the multiplication of four by three gives twelve; four times three equals twelve

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of "multiplication" is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:** The relevant sentence is: "+ - * /: Addition, subtraction, <t>multiplication</t> and division. ^, **: Power, you can use them both."

3.  **Analyze the Usage:** In this context, "multiplication" is listed alongside "+", "-", "/", and "division" as a fundamental mathematical operation (an operator in a calculator/algebraic environment).

4.  **Analyze the Senses:**
    *   Sense 1: "the act of producing offspring or multiplying by such production." (Biological/Generative). *Does not fit.*
    *   Sense 2: "a multiplicative increase." (Growth/Error accumulation). *Does not fit.*
    *   Sense 3: "an arithmetic operation that is the inverse of division; the product of two numbers is computed." (Mathematical operation/Times). *Fits perfectly.*

5.  **Conclusion:** The context refers to the arithmetic operation, which corresponds to Sense 3.

6.  **Final Output Generation:** Return only the number 3.


[User]
Which numbered sense of "division" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and <t>division</t>. ^, **: Power, you can use them both.

Senses:
1. definition=an army unit large enough to sustain combat | examples=two infantry divisions were held in reserve
2. definition=one of the portions into which something is regarded as divided and which together constitute a whole | synonyms=part, section | examples=the written part of the exam; the finance section of the company
3. definition=the act or process of dividing
4. definition=an administrative unit in government or business
5. definition=discord that splits a group | synonyms=variance
6. definition=a league ranked by quality | synonyms=class | examples=he played baseball in class D for two years; Princeton is in the NCAA Division 1-AA
7. definition=(biology) a group of organisms forming a subdivision of a larger category
8. definition=(botany) taxonomic unit of plants corresponding to a phylum
9. definition=a unit of the United States Air Force usually comprising two or more wings | synonyms=air division
10. definition=a group of ships of similar type | synonyms=naval division
11. definition=an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed
12. definition=the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart | synonyms=partition, partitioning, segmentation, sectionalization, sectionalisation

reasoning_content:
1.  **Analyze the request:** The user wants to identify which numbered sense of the word "division" (marked with `<t>division</t>`) is used in the provided context. The output must be only the number.

2.  **Analyze the context:** The relevant sentence is: "I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and <t>division</t>. ^, **: Power, you can use them both."

3.  **Determine the meaning of "division" in context:** In this list of mathematical symbols (+, -, *, /, ^, **), "division" refers to the mathematical operation of dividing numbers.

4.  **Examine the senses provided:**
    *   1. army unit (Incorrect)
    *   2. portion/section (Incorrect - refers to parts of a whole, not an operation)
    *   3. the act or process of dividing (Plausible, but often refers to the *process* rather than the *operation* itself, though related.)
    *   4. administrative unit (Incorrect)
    *   5. discord (Incorrect)
    *   6. league/class (Incorrect)
    *   7. biology group (Incorrect)
    *   8. botany unit (Incorrect)
    *   9. air force unit (Incorrect)
    *   10. naval group (Incorrect)
    *   11. an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed (Perfect match for the mathematical operation /).
    *   12. the act of dividing or partitioning; separation by the creation of a boundary (Focuses on physical separation/partitioning, not the arithmetic operation).

5.  **Select the best match:** Sense 11 specifically defines the mathematical operation of division, which is exactly what is listed alongside addition, subtraction, and multiplication.

6.  **Final Output Generation:** Return only the number 11.


[User]
Which numbered sense of "power" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: <t>Power</t>, you can use them both. Also it is possible to use the unicode ² characters.

Senses:
1. definition=possession of controlling influence | synonyms=powerfulness | examples=the deterrent power of nuclear weapons; the power of his love saved her
2. definition=(physics) the rate of doing work; measured in watts (= joules/second)
3. definition=possession of the qualities (especially mental qualities) required to do something or get something done | synonyms=ability | examples=danger heightened his powers of discrimination
4. definition=(of a government or government official) holding an office means being in power | synonyms=office | examples=being in office already gives a candidate a great advantage; during his first year in office
5. definition=one possessing or exercising power or influence or authority | synonyms=force | examples=the mysterious presence of an evil power; may the force be with you
6. definition=a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index
7. definition=physical strength | synonyms=might, mightiness
8. definition=a state powerful enough to influence events throughout the world | synonyms=world power, major power, great power, superpower
9. definition=a very wealthy or powerful businessman | synonyms=baron, big businessman, business leader, king, magnate, mogul | examples=an oil baron

reasoning_content:
1.  **Analyze the context:** The text is describing a syntax for mathematical functions/calculations. It lists operators: "+ - * /: Addition, subtraction, multiplication and division. ^, **: <t>Power</t>, you can use them both. Also it is possible to use the unicode ² characters."

2.  **Identify the target word and its usage:** The word is "Power," used in the context of mathematical operators (`^`, `**`).

3.  **Determine the meaning of "Power" in this specific context:** In mathematics, `x^y` or `x**y` represents raising a base (x) to an exponent (y). This is the mathematical operation of exponentiation.

4.  **Examine the provided senses:**
    *   1. Possession of controlling influence (General power)
    *   2. Rate of doing work (Physics)
    *   3. Ability (Mental capacity)
    *   4. Holding an office (Political)
    *   5. Possessing/exercising influence/authority (General force/influence)
    *   6. A mathematical notation indicating the number of times a quantity is multiplied by itself (Exponent/Index)
    *   7. Physical strength (Might)
    *   8. State powerful enough to influence events (Global power)
    *   9. Wealthy/powerful businessman (Magnate)

5.  **Match the usage to the senses:** The usage ("^, **: Power") clearly refers to the mathematical operation of exponentiation. Sense 6 matches this definition exactly: "a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index."

6.  **Select the corresponding number:** The correct number is 6.


[User]
Which numbered sense of "use" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can <t>use</t> them both. Also it is possible to use the unicode ² characters.

Senses:
1. 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. definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
3. definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
4. 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. definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
6. 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

reasoning_content:
1.  **Analyze the context:** The sentence containing the target word is: "you can <t>use</t> them both."
2.  **Identify the referent:** "them both" refers to the symbols mentioned previously: "^" and "**" (Power).
3.  **Determine the meaning of "use" in this specific context:** The context is about mathematical syntax and operators. The phrase "you can use them both" means that both symbols (^) and (**) are available or functional for performing the operation of "Power." It means employing them for their intended purpose (calculating power).
4.  **Evaluate the senses provided:**

    *   1. 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. definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
    *   3. definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
    *   4. 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. definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
    *   6. 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

5.  **Match the meaning to the senses:**
    *   The meaning is "to employ/utilize for a specific function (calculating power)."
    *   Sense 1 ("put into service; make work or employ for a particular purpose") is the best fit.

6.  **Final check:** "You can use them both [symbols] for the purpose of calculating power." This aligns perfectly with Sense 1.


[User]
Which numbered sense of "possible" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is <t>possible</t> to use the unicode ² characters. Powers are one way to make roots too.

Senses:
1. definition=capable of happening or existing | examples=a breakthrough may be possible next year; anything is possible
2. definition=existing in possibility | synonyms=potential | examples=a potential problem; possible uses of nuclear power

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of the word "possible" (Sense 1 or Sense 2) is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:**
    The relevant sentence is: "Also it is <t>possible</t> to use the unicode ² characters."

3.  **Analyze the Usage:**
    The sentence means that the action ("using the unicode ² characters") is an option or a capability that exists within the system/syntax being described.

4.  **Analyze the Senses:**
    *   **Sense 1:** definition=capable of happening or existing | examples=a breakthrough may be possible next year; anything is possible. (Focuses on future possibility/capability.)
    *   **Sense 2:** definition=existing in possibility | synonyms=potential | examples=a potential problem; possible uses of nuclear power. (Focuses on inherent potential or capacity.)

5.  **Compare Usage to Senses:**
    *   "It is possible to use X" means that the system *allows* or *has the capacity* to handle X.
    *   This aligns strongly with the idea of *capability* or *potential use*.

    *   If we interpret "possible" here as "capable of happening," it fits Sense 1.
    *   If we interpret "possible" here as "having potential uses/capacity," it fits Sense 2.

6.  **Refine the Distinction (Sense 1 vs. Sense 2):**
    *   Sense 1 often implies a chance or a future event ("may be possible next year").
    *   Sense 2 often implies an inherent quality or capacity ("potential problem," "possible uses").

    In the context "it is possible to use X," the focus is on the *existence* of the option/capacity within the defined rules. This is closer to the idea of inherent potential or capacity (Sense 2), although Sense 1 (capable of happening) is also technically applicable.

    *Self-Correction/Re-evaluation:* When describing features or options in a technical context ("It is possible to do X"), the meaning is usually "It is within the scope of what is achievable/allowed." Both senses can cover this, but Sense 1 ("capable of happening or existing") is the most direct fit for describing an achievable action.

    *Example Test:*
    *   "It is possible to use the unicode ² characters." (Meaning: The system is capable of handling this.) -> Sense 1 (Capable of happening).
    *   "The system has possible uses." (Meaning: It has potential applications.) -> Sense 2 (Existing in possibility/potential).

    Since the context describes an *action* that can be performed ("to use"), Sense 1 is the stronger fit.

7.  **Final Selection:** Sense 1.

8.  **Format Output:** Return only the number.


[User]
Which numbered sense of "use" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to <t>use</t> the unicode ² characters. Powers are one way to make roots too.

Senses:
1. 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. definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
3. definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
4. 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. definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
6. 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

reasoning_content:
1.  **Analyze the context:** The sentence containing the target word is: "Also it is possible to <t>use</t> the unicode ² characters."
2.  **Determine the meaning of "use" in this specific context:** The context is about syntax and mathematical notation (MathML, maxima, maple). The sentence suggests that the unicode ² characters can be employed or utilized within the system/syntax.
3.  **Examine the provided senses of "use":**

    *   1. 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. definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
    *   3. definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
    *   4. 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. definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
    *   6. 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

4.  **Match the meaning to the best sense:**
    *   "It is possible to use the unicode ² characters" means that these characters can be employed or utilized within the system.
    *   Sense 1 ("put into service; make work or employ for a particular purpose") perfectly matches this meaning (employing characters for a purpose in the syntax).
    *   Sense 4 is about using *people* or *connections* to achieve an end, which is not the case here.
    *   Sense 2 and 3 relate to consumption/depletion, which is incorrect.
    *   Sense 5 is about applying a principle or practice, which is slightly too formal/abstract for simply incorporating a character.
    *   Sense 6 is restricted to past habitual actions.

5.  **Conclusion:** Sense 1 is the correct fit.


[User]
Which numbered sense of "power" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. <t>Powers</t> are one way to make roots too. -gt: It s the way to specify the bounded variable in a function.

Senses:
1. definition=possession of controlling influence | synonyms=powerfulness | examples=the deterrent power of nuclear weapons; the power of his love saved her
2. definition=(physics) the rate of doing work; measured in watts (= joules/second)
3. definition=possession of the qualities (especially mental qualities) required to do something or get something done | synonyms=ability | examples=danger heightened his powers of discrimination
4. definition=(of a government or government official) holding an office means being in power | synonyms=office | examples=being in office already gives a candidate a great advantage; during his first year in office
5. definition=one possessing or exercising power or influence or authority | synonyms=force | examples=the mysterious presence of an evil power; may the force be with you
6. definition=a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index
7. definition=physical strength | synonyms=might, mightiness
8. definition=a state powerful enough to influence events throughout the world | synonyms=world power, major power, great power, superpower
9. definition=a very wealthy or powerful businessman | synonyms=baron, big businessman, business leader, king, magnate, mogul | examples=an oil baron

reasoning_content:
1.  **Analyze the context:** The text is describing syntax rules for a programming or mathematical language. It mentions operators: `+`, `-`, `*`, `/`, `:`, `^`, `**`. The specific phrase is: "`^`, `**`: Power, you can use them both. Also it is possible to use the unicode ² characters. <t>Powers</t> are one way to make roots too."

2.  **Identify the target word:** The word is "Power" (specifically, the concept represented by `^` and `**`).

3.  **Determine the meaning of "Power" in this context:** In mathematics and programming, `^` and `**` are used to raise a number to an exponent (e.g., $2^3 = 2 \times 2 \times 2$). This operation is called exponentiation.

4.  **Examine the senses provided:**
    *   1. Controlling influence (Social/Political)
    *   2. Rate of doing work (Physics)
    *   3. Ability (Mental/Skill)
    *   4. Holding an office (Political)
    *   5. Possessing influence/authority (General force)
    *   6. A mathematical notation indicating the number of times a quantity is multiplied by itself (Exponent/Index)
    *   7. Physical strength (Physical)
    *   8. State powerful enough to influence events (Geopolitical)
    *   9. Wealthy businessman (Economic)

5.  **Match the context meaning to the senses:** The context clearly refers to the mathematical operation of exponentiation. Sense 6 matches this definition exactly: "a mathematical notation indicating the number of times a quantity is multiplied by itself | synonyms=exponent, index."

6.  **Select the corresponding number:** The correct number is 6.


[User]
Which numbered sense of "way" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one <t>way</t> to make roots too. -gt: It s the way to specify the bounded variable in a function.

Senses:
1. definition=how something is done or how it happens | synonyms=manner, mode, style, fashion | examples=her dignified manner; his rapid manner of talking
2. definition=how a result is obtained or an end is achieved | synonyms=means, agency | examples=a means of control; an example is the best agency of instruction
3. definition=a line leading to a place or point | synonyms=direction | examples=he looked the other direction; didn't know the way home
4. definition=the condition of things generally | examples=that's the way it is; I felt the same way
5. definition=a course of conduct | synonyms=path, way of life | examples=the path of virtue; we went our separate ways
6. definition=any artifact consisting of a road or path affording passage from one place to another | examples=he said he was looking for the way out
7. definition=a journey or passage | examples=they are on the way
8. definition=space for movement | synonyms=room, elbow room | examples=room to pass; make way for
9. definition=the property of distance in general | examples=it's a long way to Moscow; he went a long ways
10. definition=doing as one pleases or chooses | examples=if I had my way
11. definition=a general category of things; used in the expression `in the way of' | examples=they didn't have much in the way of clothing
12. definition=a portion of something divided into shares | examples=they split the loot three ways

reasoning_content:
1.  **Analyze the request:** The user wants to identify which numbered sense of the word "way" is used in the provided context. The output must be only the number.

2.  **Examine the context:**
    "I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one <t>way</t> to make roots too. -gt: It s the way to specify the bounded variable in a function."

3.  **Locate the target word and phrase:** The target is "way" in the phrase: "Powers are one way to make roots too."

4.  **Determine the meaning of "way" in this specific phrase:**
    *   "Powers are one way to make roots too."
    *   Here, "way" refers to a method, a procedure, or a means of achieving the result (making roots).

5.  **Review the provided senses of "way":**

    *   1. definition=how something is done or how it happens | synonyms=manner, mode, style, fashion
    *   2. definition=how a result is obtained or an end is achieved | synonyms=means, agency
    *   3. definition=a line leading to a place or point | synonyms=direction
    *   4. definition=the condition of things generally
    *   5. definition=a course of conduct | synonyms=path, way of life
    *   6. definition=any artifact consisting of a road or path
    *   7. definition=a journey or passage
    *   8. definition=space for movement
    *   9. definition=the property of distance in general
    *   10. definition=doing as one pleases or chooses
    *   11. definition=a general category of things
    *   12. definition=a portion of something divided into shares

6.  **Match the meaning to the senses:**
    *   The meaning ("method/procedure") aligns perfectly with Sense 1 ("how something is done or how it happens") and Sense 2 ("how a result is obtained or an end is achieved").
    *   Sense 1: "Powers are one *manner/mode* to make roots." (Fits)
    *   Sense 2: "Powers are one *means/agency* to make roots." (Fits)

7.  **Select the best fit (or the most encompassing fit):** Both 1 and 2 are strong candidates. However, when discussing mathematical operations or methods, "means" (Sense 2) is often the most precise term, but "manner/mode" (Sense 1) is also highly applicable. Since the context is about a *method* of calculation, both are valid. I will choose Sense 1 as it emphasizes the *process* ("how something is done"), which is very relevant to syntax and calculation. Sense 2 ("means") is also correct, but Sense 1 captures the procedural nature well.

8.  **Final check:** "Powers are one way [method/mode] to make roots." -> Sense 1.

9.  **Format the output:** Return only the number.


[User]
Which numbered sense of "root" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make <t>roots</t> too. -gt: It s the way to specify the bounded variable in a function.

Senses:
1. definition=(botany) the usually underground organ that lacks buds or leaves or nodes; absorbs water and mineral salts; usually it anchors the plant to the ground
2. definition=the place where something begins, where it springs into being | synonyms=beginning, origin, rootage, source | examples=the Italian beginning of the Renaissance; Jupiter was the origin of the radiation
3. definition=(linguistics) the form of a word after all affixes are removed | synonyms=root word, base, stem, theme, radical | examples=thematic vowels are part of the stem
4. definition=a number that, when multiplied by itself some number of times, equals a given number
5. definition=the set of values that give a true statement when substituted into an equation | synonyms=solution
6. definition=someone from whom you are descended (but usually more remote than a grandparent) | synonyms=ancestor, ascendant, ascendent, antecedent
7. definition=a simple form inferred as the common basis from which related words in several languages can be derived by linguistic processes | synonyms=etymon
8. definition=the part of a tooth that is embedded in the jaw and serves as support | synonyms=tooth root

reasoning_content:
1.  **Analyze the context:** The phrase is "Powers are one way to make <t>roots</t> too." This is in the context of mathematical syntax (addition, subtraction, multiplication, division, power symbols like ^ and **).

2.  **Analyze the target word:** The word is "roots" (plural of root).

3.  **Determine the meaning of "roots" in this context:** Since the context discusses powers (like $x^2$, $x^3$), "roots" refers to the solutions of an equation, specifically the values that, when plugged into a polynomial, make the equation equal to zero (e.g., the roots of $x^2 - 4 = 0$ are $x=2$ and $x=-2$).

4.  **Examine the senses provided:**
    *   1. Botany (underground organ) - Incorrect.
    *   2. Beginning/Origin (source) - Incorrect (though mathematically, a root can be an origin, the primary meaning here is numerical/algebraic).
    *   3. Linguistics (base of a word) - Incorrect.
    *   4. A number that, when multiplied by itself some number of times, equals a given number (e.g., $\sqrt{9}=3$) - This defines a *root* (like a square root), but the context is about *finding* the roots of an equation.
    *   5. The set of values that give a true statement when substituted into an equation | synonyms=solution - This perfectly matches the mathematical concept of finding the roots of an equation.
    *   6. Ancestor/Descendant - Incorrect.
    *   7. Etymon (linguistic base) - Incorrect.
    *   8. Tooth root - Incorrect.

5.  **Select the best fit:** Sense 5 ("The set of values that give a true statement when substituted into an equation | synonyms=solution") is the standard mathematical definition for the roots of an equation, which is what the context implies when discussing powers and mathematical syntax.

6.  **Final check:** The context is about mathematical syntax. "Roots" in math means solutions. Sense 5 defines solutions.

7.  **Output the number:** 5.


[User]
Which numbered sense of "too" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots <t>too</t>. -gt: It s the way to specify the bounded variable in a function.

Senses:
1. definition=to a degree exceeding normal or proper limits | synonyms=excessively, overly, to a fault | examples=too big
2. definition=in addition | synonyms=besides, also, likewise, as well | examples=he has a Mercedes, too

reasoning_content:
1.  **Analyze the request:** The user wants to identify which numbered sense of the word "too" is used in the provided context. The output must be *only* the number.

2.  **Analyze the context:** The relevant sentence is: "Powers are one way to make roots <t>too</t>."

3.  **Analyze the senses of "too":**
    *   Sense 1: definition=to a degree exceeding normal or proper limits | synonyms=excessively, overly, to a fault | examples=too big (Meaning: excessively)
    *   Sense 2: definition=in addition | synonyms=besides, also, likewise, as well | examples=he has a Mercedes, too (Meaning: also/in addition)

4.  **Determine the meaning of "too" in the context:**
    *   "Powers are one way to make roots too."
    *   In this technical/mathematical context, "too" means "also" or "in addition to" other ways (like using the unicode character).
    *   If it meant "excessively" (Sense 1), the sentence would imply that powers make roots *excessively* (which doesn't make grammatical or logical sense here).
    *   Since the context is listing methods (powers, unicode characters), "too" functions as "also."

5.  **Match the meaning to the senses:**
    *   "Also" matches Sense 2 (definition=in addition).

6.  **Formulate the final answer:** The correct sense is 2.


[User]
Which numbered sense of "way" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the <t>way</t> to specify the bounded variable in a function. (): It is used to specify a higher priority.

Senses:
1. definition=how something is done or how it happens | synonyms=manner, mode, style, fashion | examples=her dignified manner; his rapid manner of talking
2. definition=how a result is obtained or an end is achieved | synonyms=means, agency | examples=a means of control; an example is the best agency of instruction
3. definition=a line leading to a place or point | synonyms=direction | examples=he looked the other direction; didn't know the way home
4. definition=the condition of things generally | examples=that's the way it is; I felt the same way
5. definition=a course of conduct | synonyms=path, way of life | examples=the path of virtue; we went our separate ways
6. definition=any artifact consisting of a road or path affording passage from one place to another | examples=he said he was looking for the way out
7. definition=a journey or passage | examples=they are on the way
8. definition=space for movement | synonyms=room, elbow room | examples=room to pass; make way for
9. definition=the property of distance in general | examples=it's a long way to Moscow; he went a long ways
10. definition=doing as one pleases or chooses | examples=if I had my way
11. definition=a general category of things; used in the expression `in the way of' | examples=they didn't have much in the way of clothing
12. definition=a portion of something divided into shares | examples=they split the loot three ways

reasoning_content:
1.  **Analyze the context:** The phrase is "Powers are one way to make roots too. -gt: It's the <t>way</t> to specify the bounded variable in a function."
2.  **Determine the meaning of "way" in this specific context:** The sentence is discussing methods or techniques in mathematical syntax (specifically, how to represent roots using a bounded variable). "The way to specify..." means "the method/means/manner by which one specifies..."
3.  **Examine the senses provided:**
    *   1. manner, mode, style, fashion (How something is done)
    *   2. means, agency (How a result is obtained or an end is achieved)
    *   3. direction (A line leading to a place or point)
    *   4. condition of things generally
    *   5. path, way of life (A course of conduct)
    *   6. road or path (Physical path)
    *   7. journey or passage
    *   8. space for movement
    *   9. property of distance
    *   10. doing as one pleases or chooses
    *   11. general category of things
    *   12. portion of something divided into shares
4.  **Match the meaning to the best sense:**
    *   "The way to specify..." refers to the *method* or *means* used to achieve the specification.
    *   Sense 1 (manner, mode, style) fits well.
    *   Sense 2 (means, agency) fits extremely well.
5.  **Select the most precise fit:** When discussing a technical procedure or method ("how to do X"), both 1 and 2 are relevant. However, "means" (Sense 2) often captures the idea of the *tool* or *method* used to achieve a specific *result* (specifying the variable). "Manner" (Sense 1) focuses more on the *style* of execution. In the context of syntax and mathematical operations, "means" (Sense 2) is the strongest fit for "the way to achieve [a result]."

6.  **Final check:** "It's the means to specify the bounded variable." This is grammatically and contextually correct.

7.  **Conclusion:** Sense 2 is the correct choice.


[User]
Which numbered sense of "specify" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to <t>specify</t> the bounded variable in a function. (): It is used to specify a higher priority.

Senses:
1. definition=specify as a condition or requirement in a contract or agreement; make an express demand or provision in an agreement | synonyms=stipulate, qualify, condition | examples=The will stipulates that she can live in the house for the rest of her life; The contract stipulates the dates of the payments
2. definition=decide upon or fix definitely | synonyms=set, determine, define, fix, limit | examples=fix the variables; specify the parameters
3. definition=determine the essential quality of | synonyms=define, delineate, delimit, delimitate
4. definition=be specific about | synonyms=particularize, particularise, specialize, specialise | examples=Could you please specify your criticism of my paper?
5. definition=define clearly | synonyms=pin down, peg down, nail down, narrow down, narrow | examples=I cannot narrow down the rules for this game
6. definition=design or destine | synonyms=intend, destine, designate | examples=She was intended to become the director
7. definition=select something or someone for a specific purpose | synonyms=assign, set apart | examples=The teacher assigned him to lead his classmates in the exercise

reasoning_content:
1.  **Analyze the context:** The sentence is: "Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to <t>specify</t> the bounded variable in a function. (): It is used to specify a higher priority."

2.  **Identify the target word and its usage:** The word is "specify," and it is used in the phrase: "It's the way to specify the bounded variable in a function."

3.  **Determine the meaning in this context:** In mathematical/programming notation (like defining a function), "specifying the bounded variable" means clearly stating or defining which variable is being constrained or limited within the function's scope.

4.  **Evaluate the senses provided:**

    *   **1. definition=specify as a condition or requirement in a contract or agreement...** (Too formal/legalistic. Not about mathematical variables.)
    *   **2. definition=decide upon or fix definitely | synonyms=set, determine, define, fix, limit | examples=fix the variables; specify the parameters.** (This fits perfectly. Defining or fixing the parameters/variables.)
    *   **3. definition=determine the essential quality of | synonyms=define, delineate, delimit, delimitate.** (Closer, but Sense 2 is more direct regarding setting/fixing variables.)
    *   **4. definition=be specific about | synonyms=particularize, particularise, specialize, specialise | examples=Could you please specify your criticism of my paper?** (This is about giving detailed information, not necessarily defining the structure of a variable.)
    *   **5. definition=define clearly | synonyms=pin down, peg down, nail down, narrow down, narrow | examples=I cannot narrow down the rules for this game.** (This relates more to narrowing a range, which is related but less precise than Sense 2's "fix/determine.")
    *   **6. definition=design or destine | synonyms=intend, destine, designate.** (Incorrect meaning.)
    *   **7. definition=select something or someone for a specific purpose | synonyms=assign, set apart.** (Incorrect meaning.)

5.  **Select the best fit:** Sense 2 ("decide upon or fix definitely," with examples like "fix the variables; specify the parameters") is the most accurate match for "specify the bounded variable in a function."

6.  **Final check:** The context requires defining or setting the variable. Sense 2 covers this.


[User]
Which numbered sense of "variable" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded <t>variable</t> in a function. (): It is used to specify a higher priority.

Senses:
1. definition=something that is likely to vary; something that is subject to variation | examples=the weather is one variable to be considered
2. definition=a quantity that can assume any of a set of values | synonyms=variable quantity
3. definition=a star that varies noticeably in brightness | synonyms=variable star
4. definition=a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity

reasoning_content:
1.  **Analyze the Request:** The user wants to know which numbered sense of the word "variable" (marked with `<t>variable</t>`) is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:**
    "I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded <t>variable</t> in a function. (): It is used to specify a higher priority."

3.  **Analyze the Target Phrase:** "the bounded <t>variable</t> in a function."

4.  **Determine the Meaning of "variable" in this context:**
    *   The context is about mathematical syntax (maxima, maple, +, -, *, /, ^, **).
    *   The phrase refers to a placeholder or symbol within a function that represents a quantity that can change or take different values (e.g., $x$ in $f(x)$).
    *   "Bounded variable" specifically refers to a variable whose range is limited (e.g., $x$ where $0 \le x \le 1$).

5.  **Evaluate the Senses:**
    *   **Sense 1:** "something that is likely to vary; something that is subject to variation" (e.g., the weather). *This is too general and doesn't fit the mathematical/symbolic context.*
    *   **Sense 2:** "a quantity that can assume any of a set of values" (synonyms=variable quantity). *This is close, but Sense 4 is more precise for the *symbol* used.*
    *   **Sense 3:** "a star that varies noticeably in brightness" (synonyms=variable star). *Incorrect context.*
    *   **Sense 4:** "a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity." *This perfectly matches the usage in mathematical syntax ("the bounded variable in a function").*

6.  **Conclusion:** Sense 4 is the correct meaning.

7.  **Format the Output:** Return only the number.


[User]
Which numbered sense of "function" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: I ve looked closely to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a <t>function</t>. (): It is used to specify a higher priority.

Senses:
1. 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. 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. 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. 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. definition=a formal or official social gathering or ceremony | examples=it was a black-tie function
6. 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. definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure

reasoning_content:
1.  **Analyze the context:** The text discusses mathematical syntax (maxima, maple, +, -, *, /, ^, **, unicode ²). It specifically mentions:
    *   "Addition, subtraction, multiplication and division."
    *   "Power, you can use them both."
    *   "Powers are one way to make roots too."
    *   "It s the way to specify the bounded variable in a <t>function</t>."
    *   "(): It is used to specify a higher priority."

2.  **Identify the target word and its usage:** The target word is "function" in the phrase "bounded variable in a <t>function</t>."

3.  **Determine the meaning of "function" in this context:** In mathematics and programming syntax, a "function" refers to a mathematical rule or mapping that takes inputs (variables) and produces outputs.

4.  **Evaluate the senses provided:**

    *   **1. definition=(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) | synonyms=mathematical function, single-valued function, map, mapping.** (This perfectly matches the mathematical context of syntax, variables, and operations.)
    *   **2. definition=what something is used for | synonyms=purpose, role, use.** (This is the general "purpose" sense, not the mathematical definition.)
    *   **3. definition=the actions and activities assigned to or required or expected of a person or group | synonyms=office, part, role.** (This is the social/job role sense.)
    *   **4. definition=a relation such that one thing is dependent on another | examples=height is a function of age; price is a function of supply and demand.** (This is a specific type of mathematical relationship, often used interchangeably with Sense 1, but Sense 1 is the formal definition of the mathematical object itself.)
    *   **5. definition=a formal or official social gathering or ceremony.** (Social sense.)
    *   **6. definition=a vaguely specified social event.** (Social sense.)
    *   **7. definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure.** (This is a programming sense, but Sense 1 is the fundamental mathematical concept being described by the syntax.)

5.  **Select the best fit:** The context is explicitly about mathematical operations (addition, multiplication, powers, roots) and defining variables within a mathematical structure. Sense 1 provides the formal mathematical definition of a function, which is the most precise fit. Sense 4 is also related, but Sense 1 defines the object itself (the mapping), which is what the syntax is defining.

6.  **Final check:** The text is discussing mathematical syntax for defining a mathematical function. Sense 1 is the definition of a mathematical function.


[User]
Which numbered sense of "use" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is <t>used</t> to specify a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator.

Senses:
1. 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. definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
3. definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
4. 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. definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
6. 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

reasoning_content:
1.  **Analyze the context:** The phrase is "It is <t>used</t> to specify a higher priority." The surrounding text discusses mathematical operators (+, -, *, /, ^, **, unicode ²), functions (abc(params)), and parsing rules.
2.  **Determine the meaning of "used" in this context:** Here, "used" refers to the function or purpose of the parentheses `()`. They are employed or applied to achieve a specific technical function (specifying higher priority in parsing).
3.  **Examine the senses provided:**
    *   1. 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. definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
    *   3. definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
    *   4. 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. definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
    *   6. 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
4.  **Match the meaning to the senses:**
    *   The parentheses are *employed* or *put into service* for the *purpose* of specifying higher priority.
    *   Sense 1 ("put into service; make work or employ for a particular purpose") is the best fit.
    *   Sense 4 is about achieving an end *by using* something for advantage (more about strategic benefit).
    *   Sense 5 is about *avail oneself* (self-directed action).
    *   Sense 1 perfectly captures the idea of a tool (parentheses) being employed for a specific function (priority).
5.  **Select the corresponding number:** Sense 1.


[User]
Which numbered sense of "specify" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to <t>specify</t> a higher priority. abc(params): When the parser finds a function, it checks if abc is an operator.

Senses:
1. definition=specify as a condition or requirement in a contract or agreement; make an express demand or provision in an agreement | synonyms=stipulate, qualify, condition | examples=The will stipulates that she can live in the house for the rest of her life; The contract stipulates the dates of the payments
2. definition=decide upon or fix definitely | synonyms=set, determine, define, fix, limit | examples=fix the variables; specify the parameters
3. definition=determine the essential quality of | synonyms=define, delineate, delimit, delimitate
4. definition=be specific about | synonyms=particularize, particularise, specialize, specialise | examples=Could you please specify your criticism of my paper?
5. definition=define clearly | synonyms=pin down, peg down, nail down, narrow down, narrow | examples=I cannot narrow down the rules for this game
6. definition=design or destine | synonyms=intend, destine, designate | examples=She was intended to become the director
7. definition=select something or someone for a specific purpose | synonyms=assign, set apart | examples=The teacher assigned him to lead his classmates in the exercise

reasoning_content:
1.  **Analyze the context:** The sentence is: "(): It is used to <t>specify</t> a higher priority."
2.  **Analyze the surrounding text/topic:** The text is discussing mathematical/programming syntax and operators (Addition, subtraction, multiplication, division, Power, roots, bounded variables, function parameters).
3.  **Determine the meaning of "specify" in this context:** In programming/mathematical syntax, "specifying a higher priority" means *defining* or *setting* the order of operations or the precedence of an operation.
4.  **Evaluate the senses against the determined meaning:**

    *   1. definition=specify as a condition or requirement in a contract or agreement... (Too formal/legalistic. Incorrect.)
    *   2. definition=decide upon or fix definitely | synonyms=set, determine, define, fix, limit | examples=fix the variables; specify the parameters. (This matches the idea of setting or defining the order/priority. Very strong candidate.)
    *   3. definition=determine the essential quality of | synonyms=define, delineate, delimit, delimitate. (Closer to defining boundaries, but Sense 2 is more direct regarding setting a value/order.)
    *   4. definition=be specific about | synonyms=particularize, particularise, specialize, specialise. (Focuses on detail, not necessarily setting a rule/priority. Less accurate.)
    *   5. definition=define clearly | synonyms=pin down, peg down, nail down, narrow down, narrow. (Focuses on clarity/narrowing, not necessarily setting a rule. Less accurate.)
    *   6. definition=design or destine | synonyms=intend, destine, designate. (Relates to purpose/fate. Incorrect.)
    *   7. definition=select something or someone for a specific purpose | synonyms=assign, set apart. (Relates to assignment of roles. Incorrect.)

5.  **Conclusion:** Sense 2, "decide upon or fix definitely," aligns perfectly with the technical meaning of setting the precedence or priority in a syntax rule.


[User]
Which numbered sense of "high" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a <t>higher</t> priority. abc(params): When the parser finds a function, it checks if abc is an operator.

Senses:
1. definition=greater than normal in degree or intensity or amount | examples=a high temperature; a high price
2. definition=(literal meaning) being at or having a relatively great or specific elevation or upward extension (sometimes used in combinations like `knee-high') | examples=a high mountain; high ceilings
3. definition=standing above others in quality or position | synonyms=eminent | examples=people in high places; the high priest
4. definition=used of sounds and voices; high in pitch or frequency | synonyms=high-pitched
5. definition=happy and excited and energetic | synonyms=in high spirits
6. definition=(used of the smell of meat) smelling spoiled or tainted | synonyms=gamey, gamy
7. definition=slightly and pleasantly intoxicated from alcohol or a drug (especially marijuana) | synonyms=mellow

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of the word "high" (marked as `<t>higher</t>` in the context) is used in the provided text. The output must be *only* the number.

2.  **Analyze the Context:**
    The relevant phrase is: "(): It is used to specify a <t>higher</t> priority."

3.  **Determine the Meaning of "higher" in this context:**
    *   The context is about programming/parsing rules (operators, functions, priority).
    *   "Higher priority" means that when the parser encounters an operation, the operation associated with "higher priority" must be evaluated *before* operations with "lower priority."
    *   This refers to a level of importance or precedence in the evaluation order.

4.  **Evaluate the Senses of "High":**

    *   1. definition=greater than normal in degree or intensity or amount | examples=a high temperature; a high price
        *   *Match?* "Higher priority" means a greater degree of importance/precedence. This fits the concept of "greater than normal in degree or intensity."

    *   2. definition=(literal meaning) being at or having a relatively great or specific elevation or upward extension | examples=a high mountain; high ceilings
        *   *Match?* No. Priority is not a physical elevation.

    *   3. definition=standing above others in quality or position | synonyms=eminent | examples=people in high places; the high priest
        *   *Match?* This is close. "Higher priority" means standing above others (in the hierarchy of operations). This is a strong candidate, focusing on rank/position.

    *   4. definition=used of sounds and voices; high in pitch or frequency | synonyms=high-pitched
        *   *Match?* No.

    *   5. definition=happy and excited and energetic | synonyms=in high spirits
        *   *Match?* No.

    *   6. definition=(used of the smell of meat) smelling spoiled or tainted | synonyms=gamey, gamy
        *   *Match?* No.

    *   7. definition=slightly and pleasantly intoxicated from alcohol or a drug | synonyms=mellow
        *   *Match?* No.

5.  **Compare Candidates (1 and 3):**

    *   Sense 1: "greater than normal in degree or intensity or amount." (Priority is a degree/intensity of importance.)
    *   Sense 3: "standing above others in quality or position." (Priority is a position in the hierarchy.)

    In the context of programming, "higher priority" refers to a hierarchical ranking (a position in the order of operations). While Sense 1 (greater intensity) is technically true, Sense 3 (standing above others in position/rank) is the most precise and idiomatic way to describe priority levels.

    *Self-Correction/Refinement:* Both 1 and 3 are related to superiority. However, when discussing *priority* in a system, we are defining a rank or position relative to others. Therefore, Sense 3 is the most accurate fit for the abstract concept of operational precedence.

6.  **Final Selection:** Sense 3.


[User]
Which numbered sense of "priority" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: + - * /: Addition, subtraction, multiplication and division. ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher <t>priority</t>. abc(params): When the parser finds a function, it checks if abc is an operator.

Senses:
1. definition=status established in order of importance or urgency | synonyms=precedence, precedency | examples=...its precedence as the world's leading manufacturer of pharmaceuticals; national independence takes priority over class struggle
2. definition=preceding in time | synonyms=antecedence, antecedency, anteriority, precedence, precedency

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of "priority" (Sense 1 or Sense 2) is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:**
    *   The context discusses mathematical operations and parsing rules.
    *   It lists operators: `+`, `-`, `*`, `/`, `:`, `^`, `**`.
    *   It mentions: "Powers are one way to make roots too."
    *   It mentions: "(): It is used to specify a higher <t>priority</t>."
    *   The overall theme is the order in which mathematical operations are evaluated (operator precedence).

3.  **Analyze the Target Phrase:** "It is used to specify a higher <t>priority</t>."
    *   In mathematics, "higher priority" means the operation inside the parentheses `()` must be calculated *before* the operations outside. This is about the *order of evaluation* or *precedence* of the operators.

4.  **Evaluate the Senses:**
    *   **Sense 1:** definition=status established in order of importance or urgency | synonyms=precedence, precedency | examples=...its precedence as the world's leading manufacturer... national independence takes priority over class struggle.
        *   *Relevance:* This sense relates to importance or order of execution (e.g., "multiplication has higher priority than addition"). This matches the concept of operator precedence.
    *   **Sense 2:** definition=preceding in time | synonyms=antecedence, antecedency, anteriority, precedence, precedency.
        *   *Relevance:* This sense relates to time sequence (e.g., "the event preceding the war"). This does not match the context of mathematical evaluation order.

5.  **Conclusion:** The context uses "priority" in the sense of importance or order of execution (operator precedence), which aligns with Sense 1.

6.  **Final Output Generation:** Return only the number 1.


[User]
Which numbered sense of "find" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser <t>finds</t> a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.

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

reasoning_content:
1.  **Analyze the context:** The sentence is: "abc(params): When the parser <t>finds</t> a function, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function."

2.  **Determine the meaning of "finds" in this context:** The parser is looking for (detecting, identifying, encountering) a function (the identifier 'abc'). The action is one of recognition or detection during processing.

3.  **Evaluate the senses of "find":**

    *   1. come upon, as if by accident; meet with (Encountering something during parsing fits this, but is it the best fit?)
    *   2. discover or determine the existence, presence, or fact of (The parser is determining the existence/presence of a function.)
    *   3. come upon after searching; find the location of something that was missed or lost (Not applicable; the parser isn't searching for a lost item.)
    *   4. establish after a calculation, investigation, experiment, survey, or study (Not applicable; this is a computational process, not a scientific study.)
    *   5. come to believe on the basis of emotion, intuitions, or indefinite grounds (Not applicable.)
    *   6. perceive or be contemporaneous with (The parser is perceiving/recognizing the function.)
    *   7. get something or somebody for a specific purpose (Not applicable.)
    *   8. make a discovery, make a new finding (Too strong; it's just recognizing a structure, not making a new scientific discovery.)
    *   9. make a discovery (Too strong.)
    *   10. obtain through effort or management (Not applicable.)
    *   11. decide on and make a declaration about (Not applicable.)
    *   12. receive a specified treatment (abstract) (Not applicable.)
    *   13. perceive oneself to be in a certain condition or place (Not applicable.)
    *   14. get or find back; recover the use of (Not applicable.)
    *   15. succeed in reaching; arrive at (Not applicable.)
    *   16. accept and make use of one's personality, abilities, and situation (Not applicable.)

4.  **Compare the best candidates (1, 2, 6):**

    *   Sense 1 (Encounter): "When the parser encounters a function..." - Plausible.
    *   Sense 2 (Determine existence/presence): "When the parser determines the existence of a function..." - Very accurate. The parser is checking if 'abc' exists as a function name in the current context.
    *   Sense 6 (Perceive/Be contemporaneous with): "When the parser perceives a function..." - Plausible, but perhaps slightly less formal than "determines."

5.  **Select the most precise fit:** In the context of parsing and language processing, "finding" an element means successfully identifying or determining its presence and type. Sense 2, "discover or determine the existence, presence, or fact of," captures this technical meaning most accurately.

6.  **Final check:** The parser *determines* if 'abc' is an operator or a user function. This aligns perfectly with Sense 2.


[User]
Which numbered sense of "function" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: ^, **: Power, you can use them both. Also it is possible to use the unicode ² characters. Powers are one way to make roots too. -gt: It s the way to specify the bounded variable in a function. (): It is used to specify a higher priority. abc(params): When the parser finds a <t>function</t>, it checks if abc is an operator. If it is, it will be treated as an operator, if it is not, it will be treated as a user function.

Senses:
1. 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. 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. 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. 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. definition=a formal or official social gathering or ceremony | examples=it was a black-tie function
6. 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. definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure

reasoning_content:
1.  **Analyze the context:** The context discusses how a parser handles the term `<t>function</t>`.
    *   "When the parser finds a `<t>function</t>`, it checks if abc is an operator."
    *   "If it is, it will be treated as an operator, if it is not, it will be treated as a user function."
    *   The surrounding text also mentions "bounded variable in a function" and "higher priority."
    *   The overall theme is parsing syntax related to mathematical or programming expressions (operators, variables, functions).

2.  **Identify the specific usage of "function" in the context:** The context uses "function" in a technical, computational, or mathematical sense (e.g., a user function, a function that takes parameters).

3.  **Evaluate the senses:**

    *   **1. definition=(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) | synonyms=mathematical function, single-valued function, map, mapping.** (This fits the mathematical/computational context of functions.)
    *   **2. definition=what something is used for | synonyms=purpose, role, use | examples=the function of an auger is to bore holes...** (This is the general "purpose" sense, not the technical definition used here.)
    *   **3. 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...** (This is the social/role sense, irrelevant here.)
    *   **4. definition=a relation such that one thing is dependent on another | examples=height is a function of age; price is a function of supply and demand.** (This is a specific type of mathematical/relational function, closely related to Sense 1, but Sense 1 is the broader, formal definition of a mathematical function.)
    *   **5. definition=a formal or official social gathering or ceremony | examples=it was a black-tie function.** (Social sense, irrelevant.)
    *   **6. definition=a vaguely specified social event | synonyms=affair, occasion, social occasion, social function | examples=the party was quite an affair...** (Social sense, irrelevant.)
    *   **7. definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure.** (This is a programming concept, often called a function or procedure, but Sense 1 covers the underlying mathematical concept that programming functions implement, and Sense 1 is the most precise fit for the formal definition being discussed in a parser context.)

4.  **Compare Sense 1 and Sense 4:**
    *   Sense 4 ("a relation such that one thing is dependent on another") is a specific example of a function (like $y=f(x)$).
    *   Sense 1 ("a mathematical relation such that each element of a given set... is associated with an element of another set") is the formal, comprehensive definition of a function (a map).
    *   Since the context is discussing the formal parsing of a `<t>function</t>` keyword in a system that handles operators and parameters, the formal mathematical/computational definition (Sense 1) is the intended meaning.

5.  **Conclusion:** Sense 1 is the correct fit.