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

[User]
Target lemma: simple
Target surface form: simple
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make <t>simple</t> MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra.

Candidate senses:
1. sense_key=simple%3:00:02:: | definition=having few parts; not complex or complicated or involved | examples=a simple problem; simple mechanisms
2. sense_key=simple%5:00:00:easy:01 | definition=easy and not involved or complicated | synonyms=elementary, uncomplicated, unproblematic | examples=an elementary problem in statistics; elementary, my dear Watson
3. sense_key=simple%5:00:02:plain:01 | definition=apart from anything else; without additions or modifications | synonyms=bare, mere | examples=only the bare facts; shocked by the mere idea
4. sense_key=simple%5:00:00:naive:00 | definition=exhibiting childlike simplicity and credulity | synonyms=childlike, wide-eyed, round-eyed, dewy-eyed | examples=childlike trust; dewy-eyed innocence
5. sense_key=simple%5:00:00:retarded:00 | definition=lacking mental capacity and subtlety | synonyms=dim-witted, simple-minded
6. sense_key=simple%3:00:01:: | definition=(botany) of leaf shapes; of leaves having no divisions or subdivisions | synonyms=unsubdivided
7. sense_key=simple%5:00:00:plain:01 | definition=unornamented | examples=a simple country schoolhouse; her black dress--simple to austerity

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**My Reasoning for Interpreting "Simple" in "Simple MathML Operations"**

Okay, let's break this down. The target word is "simple," specifically in the context of "capable to make simple MathML operations (arithmetic and logical)." I need to figure out which sense of "simple" is being used here, given a few candidate senses: "having few parts; not complex or complicated or involved" (sense 1), "easy and not involved or complicated" (sense 2), "apart from anything else; without additions or modifications," along with a few others that are clearly irrelevant.

Immediately, my mind jumps to the fact that arithmetic and logical operations are, fundamentally, *elementary* operations. This seems to suggest sense 2, which includes "elementary" as a synonym. But "simple" also has a connotation of being the opposite of *complex* which fits well.

Let's look more closely at the nuances. Sense 1's antonym is "complex." Sense 2, while related to "easy," is more about ease of *execution* than complexity. Arithmetic and logical operations *are* the basic building blocks, not just things that are *easy*.

I start to think about the phrase "simple operations" itself. In mathematics and computer science, "simple operations" usually equates to "basic" or "elementary" operations. But I consider that in a computational context, whether an operation is "easy" is not really the point. Calculators don't find things easy or difficult. They perform operations that are simple versus complex. Complex operations might involve calculus, while simple ones involve fundamental arithmetic. I lean towards sense 1.

I consider the examples in sense 1: "a simple problem, simple mechanisms." An operation is a mechanism, and I can characterize operations as "simple mechanisms" or "simple problems" versus complex ones.
What about sense 2 "easy and not involved or complicated". "Elementary" is indeed right but is it "easy"? A calculator doesn't find something "easy".

Thinking more broadly about math, "simple" often contrasts with "complex." Consider the example of "simple groups" which have no non-trivial normal subgroups. However "simple groups" don't have non-trivial normal subgroups. In this context, sense 1's definition of "not complex or complicated or involved" aligns better with the mathematical meaning.

The phrase "elementary operations" is also standard. However, is it "easy"? From WordNet, sense 2 means "easy and not involved or complicated." Is a calculator finding the operations "easy"? Nope.

So, I re-evaluate: is "simple" here truly about *ease* of execution (sense 2), or about the *lack of complexity* (sense 1)? Given that "arithmetic and logical" are the *fundamental* operations and the context is computational, I conclude that sense 1 is more accurate. Arithmetic and logic can be very hard, and thus not "easy" but they do have few parts. I am going to go with Sense 1. The key is "not complex or complicated or involved." Therefore I choose **Sense 1: having few parts; not complex or complicated or involved**.


attempt_kind: initial

status: success

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

[User]
Target lemma: operation
Target surface form: operations
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML <t>operations</t> (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra.

Candidate senses:
1. sense_key=operation%1:26:00:: | definition=the state of being in effect or being operative | examples=that rule is no longer in operation
2. sense_key=operation%1:04:06:: | definition=a business especially one run on a large scale | examples=a large-scale farming operation; a multinational operation
3. sense_key=operation%1:04:03:: | definition=a planned activity involving many people performing various actions | examples=they organized a rescue operation; the biggest police operation in French history
4. sense_key=operation%1:22:00:: | definition=(computer science) data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction) | examples=it can perform millions of operations per second
5. sense_key=operation%1:04:02:: | definition=activity by a military or naval force (as a maneuver or campaign) | synonyms=military operation | examples=it was a joint operation of the navy and air force
6. sense_key=operation%1:04:00:: | definition=a medical procedure involving an incision with instruments; performed to repair damage or arrest disease in a living body | synonyms=surgery, surgical operation, surgical procedure, surgical process | examples=they will schedule the operation as soon as an operating room is available; he died while undergoing surgery
7. sense_key=operation%1:04:05:: | definition=a process or series of acts especially of a practical or mechanical nature involved in a particular form of work | synonyms=procedure | examples=the operations in building a house; certain machine tool operations
8. sense_key=operation%1:22:01:: | definition=process or manner of functioning or operating | synonyms=functioning, performance | examples=the power of its engine determines its operation; the plane's operation in high winds
9. sense_key=operation%1:09:00:: | definition=(psychology) the performance of some composite cognitive activity; an operation that affects mental contents | synonyms=process, cognitive process, mental process, cognitive operation | examples=the process of thinking; the cognitive operation of remembering
10. sense_key=operation%1:04:01:: | definition=(mathematics) calculation by mathematical methods | synonyms=mathematical process, mathematical operation | examples=the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation; they were learning the basic operations of arithmetic
11. sense_key=operation%1:04:07:: | definition=the activity of operating something (a machine or business etc.) | examples=her smooth operation of the vehicle gave us a surprisingly comfortable ride

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

raw_output:
```json
{"sense_index": 10}
```

finish_reason: stop

content:
```json
{"sense_index": 10}
```

role: assistant

reasoning_content:
**Analyzing the Meaning of "Operations"**

Okay, the target lemma is "operation", surface form "operations". The context is "kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs."

Right away, I'm thinking, this is probably mathematical, given the MathML and the calculator context. Let's look at the candidate senses. We've got quite a range, but the relevant ones seem to be related to calculation, processing, or general mathematical activity. Sense 10, specifically "(mathematics) calculation by mathematical methods", and sense 4, "(computer science) data processing...", are jumping out at me.

The text mentions "arithmetic and logical" operations. This phrase is incredibly common in mathematics and computer science. MathML operations are essentially mathematical or logical expressions, as I know.

Now, let's zero in on sense 10: "(mathematics) calculation by mathematical methods". The text is talking about a *mathematical* calculator and *arithmetic and logical* operations. Perfect fit! The synonym "mathematical process" further strengthens the connection. And the example of "basic operations of arithmetic" hits the nail on the head, since the text refers to arithmetic and logical operations.

Now, let's consider sense 4 for a moment. This is data processing in the computer science sense. Although technically correct, it's less specific than sense 10. MathML is a markup language specifically for representing mathematical formulas. MathML operations *include* arithmetic operations, like addition and subtraction, etc. In that context, "mathematical operation" is synonymous with sense 10.

Therefore, considering the explicit reference to arithmetic and logical operations within a mathematical calculator context, sense 10 is the clear winner here.

type: thinking

service_tier: default

currency: USD


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

[User]
Target lemma: 3d
Target surface form: 3D
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and <t>3D</t> graphs. It is actually not necessary to know MathML to use kalgebra.

Candidate senses:
1. sense_key=3-d%1:10:00:: | definition=a movie with images having three dimensional form or appearance | synonyms=three-D
2. sense_key=3-d%1:09:00:: | definition=having a three-dimensional form or appearance | synonyms=three-D | examples=aren't dreams always in 3-D?

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

raw_output:
```json
{"sense_index": 2}
```

content:
```json
{"sense_index": 2}
```

reasoning_content:
**Analyzing the Meaning of "3D" in Context**

Okay, the target is "3d", surface form "3D". The context is about a math calculator that can represent 2D and 3D graphs. My initial question is whether "3D" functions as a noun or an adjective here. It's modifying "graphs," so it could be a noun adjunct, but let's dive into the senses.

The candidate senses are: "a movie with images having three dimensional form or appearance" and "having a three-dimensional form or appearance." Both are marked as noun senses, which is a bit unusual. Sense 1 is immediately irrelevant; the context isn't about movies. Sense 2, "having a three-dimensional form or appearance," seems to be the right fit because it describes a quality of the graphs. "3D graphs" means graphs possessing three-dimensional properties.

Wait, looking closer at Sense 2's definition – it starts with "having," which typically indicates an adjective. Yet, the part-of-speech tag indicates it's a noun (the "1:..." part). That's a bit of a wrinkle. Regardless, I'm confident that Sense 2, as a noun, representing the *state* or *quality* of being three-dimensional, is the intended meaning. Sense 1 is definitively out due to its restrictive nature to movies. I'll select Sense 2.


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

[User]
Target lemma: actually
Target surface form: actually
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is <t>actually</t> not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator.

Candidate senses:
1. sense_key=actually%4:02:01:: | definition=in actual fact | synonyms=really | examples=to be nominally but not actually independent; no one actually saw the shark
2. sense_key=actually%4:02:00:: | definition=used to imply that one would expect the fact to be the opposite of that stated; surprisingly | synonyms=in reality | examples=you may actually be doing the right thing by walking out; she actually spoke Latin
3. sense_key=actually%4:02:03:: | definition=at the present moment | examples=the transmission screen shows the picture that is actually on the air
4. sense_key=actually%4:02:02:: | definition=as a sentence modifier to add slight emphasis | examples=actually, we all help clear up after a meal; actually, I haven't seen the film

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

content:
```json
{"sense_index": 2}
```

reasoning_content:
**Analyzing the Nuances of "Actually"**

Okay, so the task is to pinpoint the specific meaning of "actually" in this sentence about kalgebra and MathML. Let's see...

I'm presented with a few potential senses: "in actual fact; really," "surprisingly; in reality (contrary to expectation)," "at the present moment," or as a modifier for slight emphasis. Given the context, it seems pretty clear that sense 2 is the right fit. The sentence introduces kalgebra as a MathML-based calculator, which creates the *expectation* that one would need to know MathML to use it. However, the sentence then directly contradicts this expectation with "It is actually not necessary to know MathML to use kalgebra."

So, it's not simply "in actual fact" (sense 1), where "really" could be substituted, though that's a close second. The core of this usage is the *contrast* – the surprising element. It's the "in reality" aspect, the unexpected truth. It's not *just* that it's true, but that it's *surprisingly* true given the preceding information.

Therefore, sense 2 is the most appropriate. It implies a contrast or contradiction, perfectly aligning with the text. We have an expectation and a contrary fact, and "actually" bridges the gap, introducing the surprising truth. The phrasing, with the contrast between needing to know MathML because of its use of MathML, and not needing to know it, makes the choice obvious. Sense 2 fits perfectly.


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

[User]
Target lemma: necessary
Target surface form: necessary
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not <t>necessary</t> to know MathML to use kalgebra. kalgebra is a MathML based graph calculator.

Candidate senses:
1. sense_key=necessary%3:00:00:: | definition=absolutely essential
2. sense_key=necessary%5:00:00:inevitable:00 | definition=unavoidably determined by prior circumstances | examples=the necessary consequences of one's actions

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

raw_output:
```json
{"sense_index": 1}
```

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Deconstructing "Necessary" in the Kalgebra Context**

Okay, so the task at hand is to pinpoint the specific meaning of "necessary" in the sentence "It is actually not necessary to know MathML to use kalgebra." My immediate instinct is to dissect the possible interpretations, leveraging my understanding of how these words function in technical contexts. I'm presented with two likely senses: first, "absolutely essential" – something without which something else *cannot* exist or function. Second, "unavoidably determined by prior circumstances" – a sense of inevitability or consequence, like a logical conclusion.

The key here is the negative framing: "not necessary." Immediately, the "absolutely essential" sense clicks into place. It's a direct negation of a requirement. Knowing MathML is not *absolutely* essential for utilizing kalgebra. This is straightforward. Sense 2, however, feels less relevant. While understanding dependencies is crucial in my field, the "unavoidably determined" sense doesn't quite fit the syntax or the intended meaning. The sentence isn't implying a chain reaction, rather, a lack of requirement. Thus, sense 1 is, without a doubt, the correct interpretation. I can confidently say that knowing MathML is simply not an absolute prerequisite to use kalgebra.


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

[User]
Target lemma: know
Target surface form: know
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to <t>know</t> MathML to use kalgebra. kalgebra is a MathML based graph calculator.

Candidate senses:
1. sense_key=know%2:31:01:: | definition=be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about | synonyms=cognize, cognise | examples=I know that the President lied to the people; I want to know who is winning the game!
2. sense_key=know%2:31:03:: | definition=know how to do or perform something | examples=She knows how to knit; Does your husband know how to cook?
3. sense_key=know%2:31:02:: | definition=be aware of the truth of something; have a belief or faith in something; regard as true beyond any doubt | examples=I know that I left the key on the table; Galileo knew that the earth moves around the sun
4. sense_key=know%2:31:00:: | definition=be familiar or acquainted with a person or an object | examples=She doesn't know this composer; Do you know my sister?
5. sense_key=know%2:31:04:: | definition=have firsthand knowledge of states, situations, emotions, or sensations | synonyms=experience, live | examples=I know the feeling!; have you ever known hunger?
6. sense_key=know%2:31:06:: | definition=accept (someone) to be what is claimed or accept his power and authority | synonyms=acknowledge, recognize, recognise | examples=The Crown Prince was acknowledged as the true heir to the throne; We do not recognize your gods
7. sense_key=know%2:31:15:: | definition=have fixed in the mind | examples=I know Latin; This student knows her irregular verbs
8. sense_key=know%2:35:00:: | definition=have sexual intercourse with | synonyms=sleep together, roll in the hay, love, make out, make love, sleep with | examples=This student sleeps with everyone in her dorm; Adam knew Eve
9. sense_key=know%2:31:11:: | definition=know the nature or character of | examples=we all knew her as a big show-off
10. sense_key=know%2:31:12:: | definition=be able to distinguish, recognize as being different | examples=The child knows right from wrong
11. sense_key=know%2:31:14:: | definition=perceive as familiar | examples=I know this voice!

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

raw_output:
```json
{"sense_index": 7}
```

content:
```json
{"sense_index": 7}
```

reasoning_content:
**Analyzing the Meaning of "Know" in Context**

Okay, so the task is to pinpoint the specific meaning of "know" in the phrase "know MathML". My initial step is to identify the target lemma ("know") and its surface form ("know"), as the same. I quickly establish the context: "It is actually not necessary to know MathML to use kalgebra."

I've got a few definitions to consider. I initially considered definitions like "be cognizant or aware of a fact" and "know how to do or perform something," but those don't seem like a great fit here. The statement suggests knowledge or lack of knowledge regarding MathML, but not about specific facts or actions. Another candidate is "be familiar or acquainted with a person or an object," which doesn't seem to apply, either.

Then I get to "have fixed in the mind". Aha! "I know Latin," or "This student knows her irregular verbs" – that resonates. MathML is, after all, a markup language, just like Latin. That connection is key. To "know MathML" is to understand it, be familiar with its structure, and have the rules of its "grammar" in mind.

I take a closer look at the seventh candidate: definition=have fixed in the mind | examples=I know Latin; This student knows her irregular verbs. It aligns perfectly. Considering this, candidate 7 is the clear best fit here. It's the most appropriate meaning of "know" in this context.


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

[User]
Target lemma: use
Target surface form: use
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to <t>use</t> kalgebra. kalgebra is a MathML based graph calculator.

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

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Analyzing the Word "Use" in Context**

Okay, so the lemma I'm working with is "use," and the surface form is, unsurprisingly, also "use." The context is pretty straightforward: "It is actually not necessary to know MathML to use kalgebra." My immediate thought is that "use" here isn't about *consuming* something or exploiting it, but more about *employing* or *making use of* a piece of software, specifically "kalgebra," which, given the context, I'm assuming is a mathematical calculator or similar tool.

Let's look at the candidate senses. I see:

*   **Candidate 1:** "put into service; make work or employ for a particular purpose..." This feels promising, aligning with the idea of employing a tool like kalgebra. The synonyms like "utilize" and "apply" resonate.
*   **Candidate 2:** "take or consume (regularly or habitually)." This definitely doesn't fit; it's about repeated consumption, not employing something.
*   **Candidate 3:** "use up, consume fully." Another miss; we're not talking about depleting kalgebra.
*   **Candidate 4:** "seek or achieve an end by using to one's advantage." This is getting closer, but it's more about strategic employment. While potentially relevant, it's not the *core* meaning here.
*   **Candidate 5:** "avail oneself to...apply." Similar to candidate 4, but perhaps a bit closer.
*   **Candidate 6:** "habitually do something." Again, not the best fit.

Okay, after evaluating each candidate, it's clear that **Candidate 1** with the definition of "put into service; make work or employ for a particular purpose or for its inherent or natural purpose" is the best fit. This aligns perfectly with the intended meaning of "use kalgebra" in the provided context, which can be rephrased as "utilize kalgebra".


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

[User]
Target lemma: now
Target surface form: now
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can <t>now</t> be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window

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

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

raw_output:
```json
{"sense_index": 4}
```

content:
```json
{"sense_index": 4}
```

reasoning_content:
**Analyzing the Usage of "Now" in Context**

Okay, so the target is "now" within the sentence: "Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge." My initial thought is to identify the correct sense. It seems the word "now" is being contrasted with "initially."

Looking at the candidate senses, I have several contenders: "in the historical present," "in these times; nowadays, today," "used to preface a command," "at the present moment; at present," "without delay or hesitation," "prefatory or transitional," and "in the immediate past."

Sense 2, "nowadays, today, in these times," initially looks promising, given the previous sentence's mention of "Nowadays." However, the comparison of "initially" with "now" in "it can *now* be used..." leans me more towards "at present" (Sense 4). I need to be more precise here. "At the present moment" seems right, but let's carefully compare it to Sense 2, "in these times."

My intuition tells me that "now" (Sense 4) is more about the current stage in a sequence, while "nowadays" is a broader timeframe, like the modern era. Thinking about examples: "goods *now* on sale," or "the *now*-aging dictator" (Sense 4) vs "we *now* rarely see horse-drawn vehicles" (Sense 2). Comparing the application's past and present states – "initially" versus "now" – clearly points to "at present." "At the present moment" has a more specific application here, right?

The previous sentence uses "Nowadays it is capable". That strengthens my view that "at the present moment" fits. However, I want to confirm that sense 4, 'at present', aligns more with a present software stage. It is important to emphasize that this pertains to software. The shift from "initially MathML" to a current state of "can be used by everyone," and also how it links to a specific software. "at the present moment" seems most appropriate.

I need to confirm by checking examples. Considering these two options, "in these times" vs "at the present moment", the current moment should work because the sentence focuses on the shift in usability. "It can *now* be used" vs "It is *now* on sale". It links the past, "initially", to the present, "now".

Let's consult WordNet again. It offers:

*   `nowadays`: `in these times.`
*   `at present`: `at the present moment.`

The key is this specific application. "Although it was initially MathML oriented it can *now* be used by everyone..." -> This clearly indicates "at the present moment." That seems right. Sense 4 it is. "goods *now* on sale" vs. "it is solely by their language that the upper classes *nowadays* are distinguished."

The contrast with "initially" makes it obvious. "Initially -> Now." Yes. Sense 4: "at the present moment."

Finally, I need to look at the WordNet distinctions again for the appropriate definition.

*   `now%4:02:00::`: "in these times" - Comparing general eras.
*   `now%4:02:04::`: "at the present moment" - current conditions.

Since the sentence relates to kalgebra's evolution, "at the present moment" (i.e., currently) is the fit, which is sense 4. Therefore, I believe sense 4 is correct.


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

[User]
Target lemma: use
Target surface form: used
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be <t>used</t> by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window

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

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Analyzing the Word "Used"**

Okay, so the target lemma is "use," and the actual word in the sentence is "used." The sentence provides the context: "Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge." My immediate analysis leads me to think this instance of "used" is likely referring to employing or making the software, *kalgebra*, work for a specific purpose - in this case, performing calculations.

Now, let's look at the candidate senses. We've got:

1.  *put into service; make work or employ for a particular purpose or for its inherent or natural purpose (utilize, utilise, apply, employ)*
2.  *take or consume (regularly or habitually)*
3.  *use up, consume fully*
4.  *seek or achieve an end by using to one's advantage*
5.  *avail oneself to*
6.  *habitually do something (use only in the past tense)*

Given the context of this software being made available for anyone, senses 2, 3, 4, 5, and 6 seem less relevant. They don't quite capture the idea of *making the software do what it's designed to do*. The first sense, "put into service; make work or employ for a particular purpose," *that's* the fit. It's about utilizing the software's capabilities, employing it to achieve a specific outcome. So, the software is being utilized and placed into service.


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

[User]
Target lemma: little
Target surface form: little
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with <t>little</t> mathematical knowledge. Here's a screenshot of kalgebra main window

Candidate senses:
1. sense_key=little%3:00:01:: | definition=limited or below average in number or quantity or magnitude or extent | synonyms=small | examples=a little dining room; a little house
2. sense_key=little%3:00:03:: | definition=(quantifier used with mass nouns) small in quantity or degree; not much or almost none or (with `a') at least some | synonyms=slight | examples=little rain fell in May; gave it little thought
3. sense_key=little%5:00:00:young:00 | definition=(of children and animals) young, immature | synonyms=small | examples=what a big little boy you are; small children
4. sense_key=little%5:00:00:unimportant:00 | definition=(informal) small and of little importance | synonyms=fiddling, footling, lilliputian, niggling, piddling, piffling | examples=a fiddling sum of money; a footling gesture
5. sense_key=little%5:00:00:soft:04 | definition=(of a voice) faint | synonyms=small | examples=a little voice; a still small voice
6. sense_key=little%3:00:00:: | definition=low in stature; not tall | synonyms=short | examples=he was short and stocky; short in stature
7. sense_key=little%5:00:00:lowercase:00 | definition=lowercase | synonyms=minuscule, small | examples=little a; small a
8. sense_key=little%5:00:00:emotional:00 | definition=small in a way that arouses feelings (of tenderness or its opposite depending on the context) | examples=a nice little job; bless your little heart

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

content:
```json
{"sense_index": 2}
```

reasoning_content:
**Analyzing the Word "Little" in Context**

Okay, so the word I'm focusing on is "little," and the surface form matches. The sentence is: "Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge." My immediate task is to figure out which sense of "little" is intended here.

I need to confirm the part of speech. I see that "mathematical knowledge" is a mass noun, so I have to keep that in mind. Let me check the senses... Sense 2 jumps out – it’s specifically described as a quantifier used with mass nouns! The definition is "small in quantity or degree; not much or almost none or (with `a') at least some," with "slight" as a synonym. This seems a perfect fit. The example is: "little rain fell in May," and the phrase I'm analyzing, "with little mathematical knowledge," fits that construction. This means "small in quantity or degree."

Sense 1 is different; it's about "limited or below average" quantity. That usage applies with countable nouns or to physical sizes – like "a little dining room." Although my first impression, on its own, seems to apply to that meaning – it doesn't fit my sentence context at all!

Yes, sense 2 is the correct one. The context of "mathematical knowledge" being a mass noun solidifies it. "With little mathematical knowledge" means "with not much or almost none" which fits my understanding. Problem solved.


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

[User]
Target lemma: mathematical
Target surface form: mathematical
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little <t>mathematical</t> knowledge. Here's a screenshot of kalgebra main window

Candidate senses:
1. sense_key=mathematical%3:01:00:: | definition=of or pertaining to or of the nature of mathematics | examples=a mathematical textbook; slide rules and other mathematical instruments
2. sense_key=mathematical%3:00:00:: | definition=relating to or having ability to think in or work with numbers | synonyms=numerical | examples=tests for rating numerical aptitude; a mathematical whiz
3. sense_key=mathematical%5:00:00:unquestionable:00 | definition=beyond question | examples=a mathematical certainty
4. sense_key=mathematical%5:00:00:possible:00 | definition=statistically possible though highly improbable | examples=have a mathematical chance of making the playoffs
5. sense_key=mathematical%5:00:00:exact:00 | definition=characterized by the exactness or precision of mathematics | examples=mathematical precision

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**My Reasoning for "Mathematical"**

Okay, the target is "mathematical," and the surface form is, of course, "mathematical." The context is "Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge." My initial thought is to consider the candidate senses: *of or pertaining to or of the nature of mathematics*, *relating to or having ability to think in or work with numbers*, *beyond question*, *statistically possible though highly improbable*, and *characterized by the exactness or precision of mathematics.*

"Little *mathematical* knowledge"...that *implies* knowledge *of* mathematics, doesn't it? Sense 1, "of or pertaining to or of the nature of mathematics," seems like a good fit, or possibly sense 2, "relating to or having ability to think in or work with numbers". But wait, does it mean the "ability" aspect (numerical) or is it more about being relational to mathematics itself? Looking back at examples, if I think about a *mathematical textbook*, it definitely uses sense 1. The phrase "mathematical knowledge," in this case, would mean knowledge pertaining *to* mathematics.

Let's re-evaluate. Sense 1 is the relational one. Sense 1, again, is "of or pertaining to or of the nature of mathematics." So, sentence "little mathematical knowledge" simplifies to "little knowledge of mathematics," which fits perfectly. Sense 1 it is.


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

[User]
Target lemma: here
Target surface form: Here
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. <t>Here</t>'s a screenshot of kalgebra main window kalgebra main window

Candidate senses:
1. sense_key=here%4:02:00:: | definition=in or at this place; where the speaker or writer is | examples=I work here; turn here
2. sense_key=here%4:02:02:: | definition=in this circumstance or respect or on this point or detail | examples=what do we have here?; here I must disagree
3. sense_key=here%4:02:01:: | definition=to this place (especially toward the speaker) | synonyms=hither | examples=come here, please
4. sense_key=here%4:02:04:: | definition=at this time; now | examples=we'll adjourn here for lunch and discuss the remaining issues this afternoon

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Analyzing the Lemma "Here"**

Okay, so the target lemma is "here" in the phrase "Here's a screenshot..." My first instinct is to consider the context. This is an introductory phrase, directing the reader's attention to a visual element—a screenshot. It's essentially saying, "Look at this image *located here*." That immediately makes me think of the "in or at this place" sense (sense 1).

Let's quickly run through the options to confirm:

1.  *here%4:02:00:: in or at this place; where the speaker or writer is* - This sounds like a strong contender. Referring to the current location in the text itself.
2.  *here%4:02:02:: in this circumstance or respect or on this point or detail* - This feels like it wouldn't be as straightforward, unlikely in this instance.
3.  *here%4:02:01:: to this place (especially toward the speaker)* - That would suggest movement toward a location; not relevant for a static image location.
4.  *here%4:02:04:: at this time; now* - The temporal sense is not implied.

The phrase "Here's a screenshot" points directly to the location of the screenshot within the document. It's a spatial reference. It is *here* in the text. This aligns perfectly with sense 1.

Just to solidify this, I'm thinking about it from another angle. "Here is..." is often used to draw attention to something *present* in the current location. So, it's essentially saying, "This image is *at this place* in the document." That solidifies sense 1.

So, I'm confident. Sense 1 is the most accurate definition of "here" in this context. It's describing the screenshot's location *in or at this place*—the text itself.


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

[User]
Target lemma: main
Target surface form: main
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra <t>main</t> window kalgebra main window

Candidate senses:
1. sense_key=main%5:00:00:important:00 | definition=most important element | synonyms=chief, primary, principal, master | examples=the chief aim of living; the main doors were of solid glass
2. sense_key=main%3:00:02:: | definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent | examples=the main (or independent) clause in a complex sentence has at least a subject and a verb
3. sense_key=main%5:00:00:intense:00 | definition=of force; of the greatest possible intensity | examples=by main strength

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

reasoning_content:
**Analyzing the Meaning of "Main" in Context**

Okay, so the target word is "main," and it's used in the phrase "kalgebra main window." My initial instinct is that the appropriate sense will relate to the software context. I immediately think of the primary or principal window of the application. Let's see...

I have a few candidate senses to consider: "most important element," "capable of standing syntactically alone," or "of greatest possible intensity." Given the context, the first sense – "most important element" – seems like the clear winner. "Main window" clearly refers to the application's chief or primary window, the one the user interacts with most directly.

Just to be certain, let me pull up the specifics of Sense 1: `main%5:00:00:important:00` with the definition "most important element," and synonyms like "chief," "primary," "principal," and "master." The example provided, "the main doors were of solid glass," reinforces the concept of something essential or primary.

"Main" in "main window" obviously means principal or primary. Sense 1 is definitely the correct interpretation here. It's the most appropriate fit.


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

[User]
Target lemma: window
Target surface form: window
Context:
kalgebra is a mathematical calculator based on content markup MathML language. Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main <t>window</t> kalgebra main window

Candidate senses:
1. sense_key=window%1:06:00:: | definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. sense_key=window%1:06:01:: | definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. sense_key=window%1:06:02:: | definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. sense_key=window%1:17:00:: | definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. sense_key=window%1:28:00:: | definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. sense_key=window%1:06:04:: | definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. sense_key=window%1:06:05:: | definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. sense_key=window%1:06:03:: | definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

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

reasoning_content:
**Analyzing the Meaning of "Window" in a Technical Context**

Okay, so the target word is "window," and the context is a screenshot of the "kalgebra main window." Immediately, that shouts "software application" at me. Given my expertise, I know "window" here *has* to be referring to the graphical user interface element on a computer screen. I need to be precise, though, and consider all potential senses.

Let's quickly run through the possibilities. "Framework of wood or metal"... no. This isn't about construction. A "transparent opening in a vehicle"... Nope. "Transparent panel (as of an envelope)" is completely irrelevant. An "opening that resembles a window" – also incorrect. The "time period that is considered best," not even close. A "pane of glass" doesn't fit either. An "opening in a wall or screen that admits light and air and through which customers can be served" is not right.

That leaves us with sense number eight: "(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen." Bingo. That's the one. That's the correct sense. We're talking about the specific application interface here – the main "window" within the kalgebra software. So, index 8 it is.


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

[User]
Target lemma: main
Target surface form: main
Context:
Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra <t>main</t> window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab.

Candidate senses:
1. sense_key=main%5:00:00:important:00 | definition=most important element | synonyms=chief, primary, principal, master | examples=the chief aim of living; the main doors were of solid glass
2. sense_key=main%3:00:02:: | definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent | examples=the main (or independent) clause in a complex sentence has at least a subject and a verb
3. sense_key=main%5:00:00:intense:00 | definition=of force; of the greatest possible intensity | examples=by main strength

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Analyzing the Meaning of "main"**

Okay, so I'm looking at the word "main" in the context of "kalgebra main window." My initial thought process involves considering the potential senses of "main" in this context. I'm immediately running through the possibilities, like a quick semantic scan: is it the *most important* window, or perhaps a *standalone* one, or maybe even something related to *intensity*? That last one seems a bit of a stretch in this context, so I'll probably discard that quickly.

Hmm, "kalgebra main window"... it's clearly a UI element, so the "independent clause" meaning is almost certainly a non-starter too. That leaves me with sense 1: "most important element," synonymous with terms like "chief," "primary," "principal," and "master." Yep, that's it. "Main window" refers to the *primary* or *principal* window of the Kalgebra application. That meaning fits perfectly. It's the central window, the one the user likely interacts with the most, the focal point of the application's interface. Case closed.


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

[User]
Target lemma: window
Target surface form: window
Context:
Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main <t>window</t> kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab.

Candidate senses:
1. sense_key=window%1:06:00:: | definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. sense_key=window%1:06:01:: | definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. sense_key=window%1:06:02:: | definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. sense_key=window%1:17:00:: | definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. sense_key=window%1:28:00:: | definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. sense_key=window%1:06:04:: | definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. sense_key=window%1:06:05:: | definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. sense_key=window%1:06:03:: | definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

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

raw_output:
```json
{"sense_index": 8}
```

content:
```json
{"sense_index": 8}
```

reasoning_content:
**Analyzing the Definition of "Window" in the Context of kalgebra**

Alright, let's break this down. My focus is on the word "window," specifically within the "kalgebra" software application. The text points to "kalgebra main window" and describes its structure: a Console tab, 2D Graph tab, 3D Graph tab, and a Dictionary tab. This is classic GUI design.

Now, we're considering the *computer science* definition of "window," and thankfully, Sense 8—"a rectangular part of a computer screen that contains a display different from the rest of the screen"—is a perfect fit. Thinking about it, the main window *of any* program, but especially this kalgebra app, is precisely that: a contained area on the screen that displays information differently from the rest. The tabs suggest clearly segregated areas for diverse functionality, which completely aligns with this definition. Candidate 8 is bang on; no further analysis is needed.


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

[User]
Target lemma: main
Target surface form: main
Context:
It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra <t>main</t> 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.

Candidate senses:
1. sense_key=main%5:00:00:important:00 | definition=most important element | synonyms=chief, primary, principal, master | examples=the chief aim of living; the main doors were of solid glass
2. sense_key=main%3:00:02:: | definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent | examples=the main (or independent) clause in a complex sentence has at least a subject and a verb
3. sense_key=main%5:00:00:intense:00 | definition=of force; of the greatest possible intensity | examples=by main strength

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

reasoning_content:
**Analyzing the Meaning of "Main" in Context**

Okay, so the target word is "main," and it's used in the phrase "kalgebra main window." My mind immediately jumps to the lemma, which, of course, is "main." I need to determine the intended sense here, and my initial scan presents three possibilities.

The first sense, encompassing "most important element," with synonyms like "chief," "primary," "principal," and even "master," feels like a strong contender. The second sense, describing a clause as "independent" and able to stand alone, feels grammatically relevant, but I need to make sure. The third, relating to intensity or force, like "main force/strength," clearly doesn't fit the current context.

Thinking about the phrase "main window" – it's referring to the primary or the chief window of the Kalgebra application. Therefore, sense 1, the "most important element," is the clear winner. The other options are simply not appropriate. Sense 2 is grammatical and Sense 3 relates to intensity.

Therefore, sense 1 is what I'll index.


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

[User]
Target lemma: window
Target surface form: window
Context:
It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main <t>window</t> 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.

Candidate senses:
1. sense_key=window%1:06:00:: | definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. sense_key=window%1:06:01:: | definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. sense_key=window%1:06:02:: | definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. sense_key=window%1:17:00:: | definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. sense_key=window%1:28:00:: | definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. sense_key=window%1:06:04:: | definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. sense_key=window%1:06:05:: | definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. sense_key=window%1:06:03:: | definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

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

reasoning_content:
**My Interpretation of "Kalgebra Main Window"**

Okay, so we're talking about a "kalgebra main window," which immediately makes me think of a graphical user interface. Specifically, it mentions tabs like a "Console" tab and a "2D Graph" tab, plus an input field. That pretty much screams a computer screen element, doesn't it?

Let me run through the candidate senses, just to be sure: a framework, a vehicle opening, a transparent panel, an opening that *resembles* a window, the "best" time, a pane of glass, a wall opening... Nope. None of those really click. Those senses are clearly not the right interpretation.

But that last one…sense number 8: "(computer science) a rectangular part of a computer screen"...Bingo! That's it! It's the only definition that actually makes sense in this context. The tabs, the input field...it's all consistent with a GUI window. I'll flag that as the correct sense.


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

[User]
Target lemma: consist
Target surface form: consists
Context:
It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window <t>consists</t> 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.

Candidate senses:
1. sense_key=consist%2:42:00:: | definition=originate (in) | synonyms=dwell, lie, lie in | examples=The problems dwell in the social injustices in this country
2. sense_key=consist%2:42:04:: | definition=have its essential character; be comprised or contained in; be embodied in | examples=The payment consists in food; What does love consist in?
3. sense_key=consist%2:42:02:: | definition=be consistent in form, tenor, or character; be congruous | examples=Desires are to be satisfied only so far as consists with an approved end
4. sense_key=consist%2:42:01:: | definition=be composed of | synonyms=comprise | examples=The land he conquered comprised several provinces; What does this dish consist of?

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

content:
```json
{"sense_index": 4}
```

reasoning_content:
**Analyzing the Sense of "Consists"**

Okay, so the task is to determine the meaning of "consists" in the sentence "kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab." My initial thought is that the author likely meant "consists of", but we need to be certain. Let's delve into the senses.

The context clearly implies that the "kalgebra main window" is *composed of* or *comprises* these tabs. The use of "consists in" raises a flag. We need to be precise. Let's consider the candidate senses, focusing on:

1.  *Originate (in), dwell, lie*: This is definitely not it.
2.  *Have its essential character; be comprised or contained in; be embodied in*: The example given "consists in food" is suggestive, is the payment's *essence* food? Maybe, *but unlikely*.
3.  *Be consistent in form, tenor, or character*: Absolutely not a fit.
4.  *Be composed of (comprise)*: This is promising. "Be composed of" is exactly what we're looking for, right?

But the use of "in" instead of "of" keeps nagging at me. It's likely a grammatical error, a direct translation issue – perhaps influenced by French "consister en." A window *is composed of* tabs, not *essentially defined by* them.

The example for sense 4, “What does this dish consist of?”, is a slam dunk fit here.

Let's carefully evaluate sense 2 again. Does "kalgebra main window consists in a Console tab" truly mean the window's *essential nature* or composition is defined by the console tab? No, it's *made up of* multiple tabs. The essence of this payment is indeed defined by the food that composes it, which is the meaning of sense 2.

Therefore, even with the incorrect preposition, the intended meaning is definitely sense 4: "be composed of". This seems clear, especially when comparing to sense 2.

So, the JSON object I'd generate would be: `{"sense_index": 4}`.


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

[User]
Target lemma: console
Target surface form: Console
Context:
It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a <t>Console</t> 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.

Candidate senses:
1. sense_key=console%1:06:03:: | definition=a small table fixed to a wall or designed to stand against a wall | synonyms=console table
2. sense_key=console%1:06:02:: | definition=a scientific instrument consisting of displays and an input device that an operator can use to monitor and control a system (especially a computer system)
3. sense_key=console%1:06:01:: | definition=an ornamental scroll-shaped bracket (especially one used to support a wall fixture) | examples=the bust of Napoleon stood on a console
4. sense_key=console%1:06:00:: | definition=housing for electronic instruments, as radio or television | synonyms=cabinet

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

content:
```json
{"sense_index": 2}
```

reasoning_content:
**Analyzing the Meaning of "Console" in Context**

Okay, so the target word is "Console," capitalized, which suggests it might be a proper noun or a specific term. The context is this program called "kalgebra" – a computer program, right? And it has this "Console tab" alongside others like a "2D Graph tab". Hmm, I'm already thinking about interfaces. We interact with it by typing functions or calculations into an input field. Definitely sounds like a typical user interface.

Now, let's stop and be precise. "Console" in computer terms... that immediately brings to mind that scientific instrument, with the displays and an input device. Or even a text-based interface. Now, let's break down the potential senses: a wall-mounted table is definitely out. A scroll-shaped bracket? Nope. Housing for electronic instruments? Not a perfect fit, but could be related.

But sense number two, the scientific instrument with displays and an input device, *that's* the match. It's the most appropriate by far! The program's "Console tab" is named *after* that very concept – a control interface. This one's pretty straightforward.


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

[User]
Target lemma: 3d
Target surface form: 3D
Context:
It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a <t>3D</t> Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations.

Candidate senses:
1. sense_key=3-d%1:10:00:: | definition=a movie with images having three dimensional form or appearance | synonyms=three-D
2. sense_key=3-d%1:09:00:: | definition=having a three-dimensional form or appearance | synonyms=three-D | examples=aren't dreams always in 3-D?

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

content:
```json
{"sense_index": 2}
```

reasoning_content:
**Analyzing the Meaning of "3D"**

Okay, so the target is "3d," but the surface form is "3D." The context is within a software interface— specifically, a "3D Graph tab." I need to determine the correct sense of "3D" in this context. Looking at the candidates, I see two possibilities from WordNet. The first is "a movie with images having three dimensional form or appearance," and the second is "having a three-dimensional form or appearance." The context strongly suggests a modifier, specifying the type of graph tab.

Hmm, WordNet classifies "3-D" as a noun in both senses. But looking more closely, sense 2's definition, "having a three-dimensional form or appearance," seems relevant. The example "aren't dreams always in 3-D?" is in the form of a noun, which is interesting.

Now, considering the use in "a 3D Graph tab," it functions as a noun adjunct or adjective, describing the graph. Since sense 1 clearly relates to movies, and this is about a graph, sense 2 is the better fit. The definition "having a three-dimensional form or appearance" perfectly aligns with the function of describing the graph as three-dimensional. I'll choose sense 2.


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

[User]
Target lemma: below
Target surface form: Below
Context:
kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. <t>Below</t> 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.

Candidate senses:
1. sense_key=below%4:02:01:: | definition=in or to a place that is lower | synonyms=at a lower place, to a lower place, beneath
2. sense_key=below%4:02:00:: | definition=at a later place | examples=see below
3. sense_key=below%4:02:02:: | definition=(in writing) see below | synonyms=infra | examples=vide infra
4. sense_key=below%4:02:06:: | definition=on a floor below | synonyms=downstairs, down the stairs, on a lower floor | examples=the tenants live downstairs
5. sense_key=below%4:02:03:: | definition=further down | synonyms=under | examples=see under for further discussion

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Analyzing the Spatial Meaning of "Below"**

Okay, so the task is to pinpoint the meaning of "Below" in this context. It's used as a preposition here, indicating a spatial relationship on the screen. Hmm, WordNet, though... it doesn't really have prepositions as a distinct category, does it? They're often lumped in with adverbs, or something. Interesting.

Let's look at the candidate senses:

1.  *below%4:02:01::* Spatial: "in or to a place that is lower," or "beneath." That's the most likely one, given the context on a user interface. "Below these tabs" indicates a location physically lower on the screen than the tabs themselves.

2.  *below%4:02:00::* and 3. *below%4:02:02::* Referencing other text, like "see below" or cross-references. Those are clearly not it.

3.  *below%4:02:06::* Downstairs on another floor. Also not it.

4.  *below%4:02:03::* "further down" - This is also typically used in text and is also similar to sense 2.

Sense 1 is the clear winner, right? "Below these tabs" means "beneath these tabs." It's all about the spatial position. Bingo.


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

[User]
Target lemma: find
Target surface form: find
Context:
kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window 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 <t>find</t> 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.

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

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Analyzing the Correct Sense of "Find"**

Okay, so I need to nail down the precise meaning of "find" in the context "Below these tabs you will find an input field to type your functions..." My initial instinct is that it relates to *noticing* something that's been placed there, but let's be rigorous.

I've got a few candidate senses from WordNet to consider. First, there's `find%2:40:02::` which is about "coming upon" something, almost by accident, or *encountering* it. Examples given are things like "We find this idea in Plato." Then there is `find%2:39:02::` that's about *detecting*, *observing*, or *discovering*.

My thought is, it’s closer to "encounter" or "notice". I'm trying to decide if the "find" in "you will find an input field" is more closely related to "notice" or "come upon".

I keep bouncing between those two. It seems like the idea of encountering the input field fits well, like a physical or visual encounter. Like if I say "you will find it in the corner". Then there's the nuance that "you will find an input field" is more like a direction, so I will encounter/see.

I'm thinking, is there a sense 3? No.

The more I look at it, the more I'm leaning toward the "come upon" definition of `find%2:40:02::`. That seems to encompass the act of *locating* the input field, which is what the instructions are telling the user to do. This closely mirrors the "We find this idea in Plato" example. It's a way of saying "you'll encounter the input field," or "you'll meet with it".

I want to make sure I'm not missing something though. I should compare it to the "detect or observe" sense. Would you say "we *detected* an input field" or "we *observed* an input field?" No, that doesn't feel right. Although "discover" is a bit tempting.

I'm looking at different examples, like "You'll see a lot of cheating..." or "We found Republicans winning the offices..." No, these are related to perception, which feels wrong.

Let's look at more examples. "In the literature you will find..." or "On the left you will find..." are similar instructions. Ah, I see: "encounter".

I think I've got it. I am confident. *Encounter* seems to fit best: It's pointing the user to "encounter" the input field.

I'm going to commit to `find%2:40:02::`. The definition of "come upon, as if by accident; meet with" is the right one, describing the act of locating and discovering the input field's presence.


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

[User]
Target lemma: type
Target surface form: type
Context:
kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window 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 <t>type</t> 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.

Candidate senses:
1. sense_key=type%2:32:00:: | definition=write by means of a keyboard with types | synonyms=typewrite | examples=type the acceptance letter, please
2. sense_key=type%2:31:00:: | definition=identify as belonging to a certain type | synonyms=typecast | examples=Such people can practically be typed

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

reasoning_content:
**Analyzing the Lemma "Type" in Context**

Okay, so the lemma I'm working with is "type," and the surface form is, unsurprisingly, also "type." I'm looking at the context: "Below these tabs you will find an input field to type your functions or do your calculations." Immediately, I'm thinking about the possible senses. I've got a couple of options:

Sense 1: "write by means of a keyboard with types." The definition, "write by means of a keyboard with types," and the synonyms "typewrite" give me a strong indication. This seems very relevant.

Sense 2: "identify as belonging to a certain type." The definition, "identify as belonging to a certain type," and the synonym "typecast" feel less appropriate based on the context. The examples, such as "Such people can practically be typed" do not apply.

Looking at that context – "input field," "type your functions" – it's pretty clear. This is about entering characters, presumably via a keyboard. Sense 1 is the obvious and correct match. The other sense is clearly irrelevant to this usage.


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

[User]
Target lemma: function
Target surface form: functions
Context:
kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window 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 <t>functions</t> 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.

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

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

content:
```json
{"sense_index": 1}
```

reasoning_content:
**Analyzing the Meaning of "Function" in the Context of kalgebra**

Okay, so we're looking at a MathML-based graph calculator, "kalgebra." The task is to pin down the correct sense of the word "function" in the sentence "Below these tabs you will find an input field to type your functions or do your calculations." Immediately, my expert brain kicks into gear. Given the context – a *graph calculator*, using *MathML*, with mentions of *calculations* – it's pretty clear we're dealing with *mathematical* functions.

The target sense is undeniably mathematical function (sense_key=function%1:24:00::). It's a mapping, a relationship, like y = f(x). That's what the user will *input* to be graphed or calculated. Sense 2, "what something is used for" is just a surface reading, and wouldn't really fit here. Senses 3 through 6 are obviously irrelevant, relating to human actions, social events, etc. The phrase *calculations* is what confirms this.

I initially considered sense 7, the programming sense, like a routine or subroutine. But, the user is typing in *math functions* (like sin(x) or x^2), not subroutines or procedures for the calculator's internal workings. So, considering "type your functions *or do your calculations*" confirms that we are dealing with mathematical relationships. It's spot on. The math function sense is precisely what the user is interacting with here.


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

[User]
Target lemma: do
Target surface form: do
Context:
kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window 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 <t>do</t> 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.

Candidate senses:
1. sense_key=do%2:41:01:: | definition=engage in | synonyms=make | examples=make love, not war; make an effort
2. sense_key=do%2:36:01:: | definition=carry out or perform an action | synonyms=perform, execute | examples=John did the painting, the weeding, and he cleaned out the gutters; the skater executed a triple pirouette
3. sense_key=do%2:41:04:: | definition=get (something) done | synonyms=perform | examples=I did my job
4. sense_key=do%2:42:00:: | definition=proceed or get along | synonyms=fare, make out, come, get along | examples=How is she doing in her new job?; How are you making out in graduate school?
5. sense_key=do%2:36:02:: | definition=give rise to; cause to happen or occur, not always intentionally | synonyms=cause, make | examples=cause a commotion; make a stir
6. sense_key=do%2:41:02:: | definition=carry out or practice; as of jobs and professions | synonyms=practice, practise, exercise | examples=practice law
7. sense_key=do%2:42:01:: | definition=be sufficient; be adequate, either in quality or quantity | synonyms=suffice, answer, serve | examples=A few words would answer; This car suits my purpose well
8. sense_key=do%2:36:00:: | definition=create or design, often in a certain way | synonyms=make | examples=Do my room in blue; I did this piece in wood to express my love for the forest
9. sense_key=do%2:29:09:: | definition=behave in a certain manner; show a certain behavior; conduct or comport oneself | synonyms=act, behave | examples=You should act like an adult; Don't behave like a fool
10. sense_key=do%2:42:02:: | definition=spend time in prison or in a labor camp | synonyms=serve | examples=He did six years for embezzlement
11. sense_key=do%2:41:03:: | definition=carry on or function | synonyms=manage | examples=We could do with a little more help around here
12. sense_key=do%2:29:04:: | definition=arrange attractively | synonyms=dress, arrange, set, coif, coiffe, coiffure | examples=dress my hair for the wedding
13. sense_key=do%2:38:00:: | definition=travel or traverse (a distance) | examples=This car does 150 miles per hour; We did 6 miles on our hike every day

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

content:
```json
{"sense_index": 2}
```

reasoning_content:
**Analyzing the Senses of "Do" in Context**

Okay, so the target word is "do" in the phrase "do your calculations" within that sentence. Let's see... I've got a list of candidate senses, and I need to figure out the best one. My initial thought is that it's likely one of the senses related to action or performance.

First, let's look at sense 1: "engage in" or "make." Hmm, unlikely. Doesn't fit the context of calculations. Sense 2 looks promising: "carry out or perform an action" – synonyms like "perform" and "execute." Examples like "John did the painting" make that fit. Sense 3, "get (something) done," also overlaps with "perform," but it seems broader, like in "I did my job."

Wait, "do calculations" seems most aligned with performing an action. I'm thinking... performing a calculation is essentially "carrying out an action." Checking the synonyms for Sense 2: perform, execute. "Perform calculations" is a common and appropriate phrase. "Execute your calculations." I'm liking that.

I can eliminate sense 1, but I need to make sure sense 2 is the best option. WordNet's examples for Sense 2, "John did the painting, the weeding..." confirms it fits here: "doing calculations" is performing the action of calculations.

Now, let's consider the subtle difference between Sense 2 and Sense 3. Sense 3 has examples like, "I did my job." Sense 2 has examples like "John did the painting, the weeding, and he cleaned out the gutters." Performing calculations is a specific action. So, Sense 2 aligns really well.

Is "do calculations" an instance of sense 2? "Perform a calculation." "Do the math." "Do the painting" fits well here, so "Do the calculations" makes sense as well. Yes, definitely, Sense 2 is the correct sense. It's the best fit.