[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: factor
Target surface form: factors
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other <t>factors</t> constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=factor%1:11:00:: | definition=anything that contributes causally to a result | examples=a number of factors determined the outcome
2. sense_key=factor%1:09:00:: | definition=an abstract part of something | synonyms=component, constituent, element, ingredient | examples=jealousy was a component of his character; two constituents of a musical composition are melody and harmony
3. sense_key=factor%1:23:00:: | definition=one of two or more integers that can be exactly divided into another integer | synonyms=divisor | examples=what are the 4 factors of 6?
4. sense_key=factor%1:18:00:: | definition=a businessman who buys or sells for another in exchange for a commission | synonyms=agent, broker
5. sense_key=factor%1:23:01:: | definition=any of the numbers (or symbols) that form a product when multiplied together
6. sense_key=factor%1:09:01:: | definition=an independent variable in statistics
7. sense_key=factor%1:08:00:: | definition=(genetics) a segment of DNA that is involved in producing a polypeptide chain; it can include regions preceding and following the coding DNA as well as introns between the exons; it is considered a unit of heredity | synonyms=gene, cistron | examples=genes were formerly called factors

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

reasoning_content:
The task is to perform Word Sense Disambiguation for the lemma "factor" with the surface form "factors" in the given context.
The context is: "holding other factors constant, such as incumbency advantages and regional factors..."

It's clearly using "factors" as things that affect or determine outcomes, like variables in an equation.

Looking at candidates:

1. anything that contributes causally to a result – yes, factors contributing to the outcome.

2. abstract part – no.

3. divisor – no.

4. agent – no.

5. multiplier factor – no.

6. independent variable in statistics – close, but "factors" are often the variables themselves.

7. gene – no.

In statistics, we say "holding other variables constant" or "ceter is", but "factors" is common too.

But the best match is sense 1, as it's general and fits "contributes causally to a result", and example "a number of factors determined the outcome" is similar to how they are used.

The context says "the difference ... is a positive function of how onerous...", so regression model holding others constant.

But I think the intended is 1.

Confidence high on 1.

The task says return {"sense_index": 3} but that's example, I need to choose.

I choose 1.

No, look: "Return only a JSON object exactly like {"sense index": 3}."

So for this, I need the number.

I go with 1.

But let's see: the context has "an additional piece of evidence", "moreover", "furthermore", "in sum", it's about factors influencing voting.

Yes, sense 1.

\confidence{ 60}

The format is inside \confidence{}

So, final answer is the JSON.

I think it's 1.

But wait, perhaps it's 6, because of "econometric".

The word is "factors", and in the sentence it's "holding other factors constant", and then "the difference is a positive function of"

In econometrics, they say holding other factors constant, where factors are the explanatory variables.

But the definition for 6 is "an independent variable in statistics"

Yes, that fits.

Let's see the order: 6. sense_key=factor%1:09:01:: | definition= an independent variable in statistics

Yes, and context is econometric investigation.

I change to 6.

The context has "cross-state econometric investigation", "positive function", definitely stats.

"holding other factors constant" is standard in that field.

So, best is 6.

The example in 1 is general, but 6 is specific to the context.

The instruction: use the context, synonyms, and examples together.

For 6, synonyms not given, but it fits.

I think it's 6.

Let's see: the candidates have 6 as that.

Yes, I go with 6.

Confidence {70}

The 1 has "contributes causally to a result", which is true, but the specific use is as variables.

But the word "factor" in this context is used for that.

I recall that in WordNet, the sense 1:11:00 is "factor" as cause or agent.

But in this context, it's that.

I need to decide.

Upon thinking, the target lemma is "factor", surface form "factors", and in context it's used as the things held constant, i.e., the variables.

So, sense 6.

Yes.

The answer is 6.

So, the JSON is {" sense_index": 6}

Yes.

The example in the instruction is {"sense_index": 3}, so yes.

I pick 6.

Confidence 50, because ambiguous.


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: constant
Target surface form: constant
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors <t>constant</t>, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=constant%5:00:00:invariable:00 | definition=unvarying in nature | synonyms=changeless, invariant, unvarying | examples=maintained a constant temperature; principles of unvarying validity
2. sense_key=constant%3:00:00:: | definition=steadfast in purpose or devotion or affection | examples=a man constant in adherence to his ideals; a constant lover
3. sense_key=constant%5:00:00:continuous:01 | definition=uninterrupted in time and indefinitely long continuing | synonyms=ceaseless, incessant, never-ending, perpetual, unceasing, unremitting | examples=the ceaseless thunder of surf; in constant pain

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

finish_reason: stop

role: assistant

reasoning_content:
The task is Word Sense Disambiguation for "constant" in the given context.
The task is to find the best sense for "constant" in the context: "Holding other factors constant".

The context is about holding other factors constant, like in statistical control, meaning not varying them or keeping them the same.

Looking at the candidate senses:

1.

native_finish_reason: completed

provider: xAI

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: difference
Target surface form: difference
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the <t>difference</t> between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=difference%1:07:00:: | definition=the quality of being unlike or dissimilar | examples=there are many differences between jazz and rock
2. sense_key=difference%1:11:00:: | definition=a variation that deviates from the standard or norm | synonyms=deviation, divergence, departure | examples=the deviation from the mean
3. sense_key=difference%1:10:00:: | definition=a disagreement or argument about something important | synonyms=dispute, difference of opinion, conflict | examples=he had a dispute with his wife; there were irreconcilable differences
4. sense_key=difference%1:24:00:: | definition=a significant change | examples=the difference in her is amazing; his support made a real difference
5. sense_key=difference%1:23:00:: | definition=the number that remains after subtraction; the number that when added to the subtrahend gives the minuend | synonyms=remainder

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

reasoning_content:
The task is Word Sense Disambiguation for "difference" in the given context. I need to choose the best indexed sense from the candidates.
The context is: "the <t>difference</t> between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."

It's referring to the mathematical or quantitative difference between two proportions or shares: the vote percentage for 1 thing and for another.

In statistics or econometrics, "difference between X and Y" often means X - Y, the numerical difference.

Looking at the candidates:

1. quality of being unlike or dissimilar – that's general dissimilarity.

2. variation that deviates from standard – deviation.

3. disagreement or argument.

4 significant change.

5. the number that remains after subtraction – remainder.

But the remainder is specifically for subtraction, like 10-3=7, remainder 7.

Here, it's difference between two numbers, like 0.6 - 0.4 = 0.2, which is the difference, not remainder per se.

But in English, "difference between 0.6 and 0.4" is 0.2, which matches the definition of difference as subtraction result.

Sense 5 says "the number that remains after subtraction", yes.

I think it's closest to 5, but perhaps it's 2 variation/deviation.

The context uses it in a statistical model: difference = f(tax rate), positive function.

It's the magnitude of difference.

But looking at WordNet, I need to choose the best.

The target lemma is "difference", and context has <t>difference</t>, likely from a table or 2.

In the first part: "personal staffing differences noted in the table"

Likely counts or numbers.

I believe it's sense 5, because it's quantitative difference between two quantities.

But let's see: in math, difference is X-Y.

Yes.

Confidence: fairly high.

But the instructions: return only JSON {" sense_index": 5} or whatever.

I choose 5.

No, let's see.

Upon thinking, in the context: "the difference between popular votes for Republican presidential and senatorial candidates"

Votes for different candidates, so how much one differs from the other.

It's dissimilarity in votes.

But in the econometric: "the difference between a state's major-party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house"

Major-party vote to gov candidate (say % for R gov), and % for R in lower house.

So two different things: vote for gov, share in legislature.

Their difference (numer ical).

I think it's the numerical difference, sense 5.

But sense 5 definition is for remainder in subtraction, which is yes.

For example, difference between 5 and 3 is 2.

Yes.

Whereas sense 1 is more for qualitative.

But in context, it's quantitative, as function of tax rate, positive.

So, the value of that difference.

I go with 5.

But the example in 5 is not given, but definition matches.

Also, in the text: "a positive function", so the difference is positive, meaning >0.

Yes.

For sense 1, the quality is positive ? No.

So, best is 5.

Confidence {80}

The answer is 5.

But the return is JSON with sense_index:5

Yes.

Look at the instruction: Return only a JSON object exactly like {"sense_index": 3}.

So, for this, {"sense_index": 5}

Yes.

I think 5.

But let's double check.

In the context, it's "the difference between A and B is a positive function of Z"

If A and B are numbers, difference is number, and that number is function of Z.

Yes.

If it was the quality, it wouldn't be "positive function".

Yes, definitely 5.

The answer is 5. \confidence{70}

Why 70? Because could be 2, but I think 5.

In the text: "Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes ... turns out to be a positive function of how onerous the federal government's tax burden is per state"

So, the difference (between the two vote types) is function of tax.

It's the value of that difference.

Yes.

Also, "GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern"

So, when tax high, presidential votes for GOP higher than senate, so difference positive.

Yes, numerical.

I conclude 5.


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

[User]
Target lemma: state
Target surface form: state
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a <t>state</t>'s major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=state%1:15:01:: | definition=the territory occupied by one of the constituent administrative districts of a nation | synonyms=province | examples=his state is in the deep south
2. sense_key=state%1:03:00:: | definition=the way something is with respect to its main attributes | examples=the current state of knowledge; his state of health
3. sense_key=state%1:14:01:: | definition=the group of people comprising the government of a sovereign state | examples=the state has lowered its income tax
4. sense_key=state%1:14:00:: | definition=a politically organized body of people under a single government | synonyms=nation, country, land, commonwealth, res publica, body politic | examples=the state has elected a new president; African nations
5. sense_key=state%1:26:02:: | definition=(chemistry) the three traditional states of matter are solids (fixed shape and volume) and liquids (fixed volume and shaped by the container) and gases (filling the container) | synonyms=state of matter | examples=the solid state of water is called ice
6. sense_key=state%1:26:01:: | definition=a state of depression or agitation | examples=he was in such a state you just couldn't reason with him
7. sense_key=state%1:15:00:: | definition=the territory occupied by a nation | synonyms=country, land | examples=he returned to the land of his birth; he visited several European countries
8. sense_key=state%1:14:02:: | definition=the federal department in the United States that sets and maintains foreign policies | synonyms=Department of State, United States Department of State, State Department, DoS | examples=the Department of State was created in 1789

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

reasoning_content:
The task is to perform fine-grained Word Sense Disambiguation for the target lemma "state" with surface form "state" in the given context.
The context is about politics, Senate, elections, votes, taxes, etc. It's discussing state government, gubernatorial candidates, etc.

Looking at the sentence: "the difference between a <t>state</t>'s major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."

It's talking about "a state's" something, meaning one of the states in the US, like a political entity.

Candidates:

1. sense_key=state%1:15:01:: | definition=the territory occupied by one of the constituent administrative districts of a nation | synonyms=province | examples=his state is in the deep south

This seems fitting because in the US, states are administrative districts.

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: major
Target surface form: major
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's <t>major</t> - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=major%3:00:06:: | definition=of greater importance or stature or rank | examples=a major artist; a major role
2. sense_key=major%3:00:02:: | definition=greater in scope or effect | examples=a major contribution; a major improvement
3. sense_key=major%3:00:01:: | definition=greater in number or size or amount | examples=a major portion (a majority) of the population; Ursa Major
4. sense_key=major%3:00:05:: | definition=of the field of academic study in which one concentrates or specializes | examples=his major field was mathematics
5. sense_key=major%3:00:04:: | definition=of a scale or mode | examples=major scales; the key of D major
6. sense_key=major%3:00:07:: | definition=of greater seriousness or danger | examples=a major earthquake; a major hurricane
7. sense_key=major%3:00:03:: | definition=of full legal age
8. sense_key=major%5:00:00:senior:00 | definition=of the elder of two boys with the same family name | examples=Jones major

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

reasoning_content:
The task is to perform fine-grained Word Sense Disambiguation for the lemma "major" in the given context. I need to choose the best indexed sense from the candidates.
The context is: "the difference between a state's <t>major</t> - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house"

It's "major-party vote", meaning the vote for the major parties, i.e., the primary or main parties in the state, which are Democrats and Republicans.

In US political terminology, "major party" refers to the two dominant parties, as opposed to minor or third parties.

Looking at the senses:

1.


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

[User]
Target lemma: party
Target surface form: party
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - <t>party</t> vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=party%1:14:01:: | definition=an organization to gain political power | synonyms=political party | examples=in 1992 Perot tried to organize a third party at the national level
2. sense_key=party%1:14:00:: | definition=a group of people gathered together for pleasure | examples=she joined the party after dinner
3. sense_key=party%1:14:02:: | definition=a band of people associated temporarily in some activity | synonyms=company | examples=they organized a party to search for food; the company of cooks walked into the kitchen
4. sense_key=party%1:11:00:: | definition=an occasion on which people can assemble for social interaction and entertainment | examples=he planned a party to celebrate Bastille Day
5. sense_key=party%1:18:00:: | definition=a person involved in legal proceedings | examples=the party of the first part

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

reasoning_content: The task is Word Sense Disambiguation for "party" in the given context. I need to choose the best indexed sense from the candidates.


[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: vote
Target surface form: vote
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party <t>vote</t> going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=vote%1:04:00:: | definition=a choice that is made by counting the number of people in favor of each alternative | synonyms=ballot, voting, balloting | examples=there were only 17 votes in favor of the motion; they allowed just one vote per person
2. sense_key=vote%1:04:01:: | definition=the opinion of a group as determined by voting | examples=they put the question to a vote
3. sense_key=vote%1:07:00:: | definition=a legal right guaranteed by the 15th amendment to the US Constitution; guaranteed to women by the 19th amendment | synonyms=right to vote, suffrage | examples=American women got the vote in 1920
4. sense_key=vote%1:14:00:: | definition=a body of voters who have the same interests | examples=he failed to get the Black vote
5. sense_key=vote%1:09:00:: | definition=the total number of voters who participated | synonyms=voter turnout | examples=they are expecting a large vote

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

reasoning_content:
The task is to choose the single best indexed sense for the target word "vote" in the given context. The candidate senses are numbered 1 through 5.
The context has "<t>vote</t>" which is probably a placeholder for "vote", and it's talking about "a state's major-party vote going to the Republican gubernatorial candidate".

This is clearly referring to the votes cast for the candidate, like the share of the vote.

Looking at the candidates:

1. sense 1:04:00: a choice made by counting votes – but that's the definition of voting, not the vote itself.

The target is "vote", and in context it's "major-party vote".

In political science, "vote" often means the result of the election, like "the vote for X".

Sense  2: the opinion of a group as determined by voting – that could be, like the collective vote.

But in the phrase "vote going to the candidate", it's the votes allocated to him.

Sense 4: a body of voters – "the Black vote" means the votes from black voters.

But here it's "major-party vote going to", not "the vote of major party".

I think it's closest to sense 1, as "vote" as the tally or the choice counted.


[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: go
Target surface form: going
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote <t>going</t> to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=go%2:38:00:: | definition=change location; move, travel, or proceed, also metaphorically | synonyms=travel, move, locomote | examples=How fast does your new car go?; We travelled from Rome to Naples by bus
2. sense_key=go%2:41:00:: | definition=follow a procedure or take a course | synonyms=proceed, move | examples=We should go farther in this matter; She went through a lot of trouble
3. sense_key=go%2:38:01:: | definition=move away from a place into another direction | synonyms=go away, depart | examples=Go away before I start to cry; The train departs at noon
4. sense_key=go%2:30:04:: | definition=enter or assume a certain state or condition | synonyms=become, get | examples=He became annoyed when he heard the bad news; It must be getting more serious
5. sense_key=go%2:42:06:: | definition=be awarded; be allotted | examples=The first prize goes to Mary; Her money went on clothes
6. sense_key=go%2:42:02:: | definition=have a particular form | synonyms=run | examples=the story or argument runs as follows; as the saying goes...
7. sense_key=go%2:42:00:: | definition=stretch out over a distance, space, time, or scope; run or extend between two points or beyond a certain point | synonyms=run, pass, lead, extend | examples=Service runs all the way to Cranbury; His knowledge doesn't go very far
8. sense_key=go%2:30:01:: | definition=follow a certain course | synonyms=proceed | examples=The inauguration went well; how did your interview go?
9. sense_key=go%2:30:08:: | definition=be abolished or discarded | examples=These ugly billboards have to go!; These luxuries all had to go under the Khmer Rouge
10. sense_key=go%2:42:07:: | definition=be or continue to be in a certain condition | examples=The children went hungry that day
11. sense_key=go%2:39:00:: | definition=make a certain noise or sound | synonyms=sound | examples=She went `Mmmmm'; The gun went `bang'
12. sense_key=go%2:35:00:: | definition=perform as expected when applied | synonyms=function, work, operate, run | examples=The washing machine won't go unless it's plugged in; Does this old car still run well?
13. sense_key=go%2:34:00:: | definition=to be spent or finished | synonyms=run low, run short | examples=The money had gone after a few days; Gas is running low at the gas stations in the Midwest
14. sense_key=go%2:30:02:: | definition=progress by being changed | synonyms=move, run | examples=The speech has to go through several more drafts; run through your presentation before the meeting
15. sense_key=go%2:42:14:: | definition=continue to live through hardship or adversity | synonyms=survive, last, live, live on, endure, hold up | examples=We went without water and food for 3 days; These superstitions survive in the backwaters of America
16. sense_key=go%2:42:03:: | definition=pass, fare, or elapse; of a certain state of affairs or action | examples=How is it going?; The day went well until I got your call
17. sense_key=go%2:30:00:: | definition=pass from physical life and lose all bodily attributes and functions necessary to sustain life | synonyms=die, decease, perish, exit, pass away, expire | examples=She died from cancer; The children perished in the fire
18. sense_key=go%2:42:04:: | definition=be in the right place or situation | synonyms=belong | examples=Where do these books belong?; Let's put health care where it belongs--under the control of the government
19. sense_key=go%2:42:10:: | definition=be ranked or compare | examples=This violinist is as good as Juilliard-trained violinists go
20. sense_key=go%2:38:09:: | definition=begin or set in motion | synonyms=start, get going | examples=I start at eight in the morning; Ready, set, go!
21. sense_key=go%2:33:00:: | definition=have a turn; make one's move in a game | synonyms=move | examples=Can I go now?
22. sense_key=go%2:42:13:: | definition=be contained in | examples=How many times does 18 go into 54?
23. sense_key=go%2:42:12:: | definition=be sounded, played, or expressed | examples=How does this song go again?
24. sense_key=go%2:42:11:: | definition=blend or harmonize | synonyms=blend, blend in | examples=This flavor will blend with those in your dish; This sofa won't go with the chairs
25. sense_key=go%2:42:08:: | definition=lead, extend, or afford access | synonyms=lead | examples=This door goes to the basement; The road runs South
26. sense_key=go%2:42:05:: | definition=be the right size or shape; fit correctly or as desired | synonyms=fit | examples=This piece won't fit into the puzzle
27. sense_key=go%2:35:13:: | definition=go through in search of something; search through someone's belongings in an unauthorized way | synonyms=rifle | examples=Who rifled through my desk drawers?
28. sense_key=go%2:34:09:: | definition=be spent | examples=All my money went for food and rent
29. sense_key=go%2:31:12:: | definition=give support (to) or make a choice (of) one out of a group or number | synonyms=plump | examples=I plumped for the losing candidates
30. sense_key=go%2:30:03:: | definition=stop operating or functioning | synonyms=fail, go bad, give way, die, give out, conk out | examples=The engine finally went; The car died on the road

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

reasoning_content: The task is Word Sense Disambiguation for "go" in the form "going". The context is a long sentence about voting and elections.


[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: republican
Target surface form: Republican
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the <t>Republican</t> gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=republican%3:01:01:: | definition=relating to or belonging to the Republican Party | examples=a Republican senator; Republican party politics
2. sense_key=republican%5:00:00:democratic:00 | definition=having the supreme power lying in the body of citizens entitled to vote for officers and representatives responsible to them or characteristic of such government; - United States Constitution; ; - Philip Marsh; -Nathaniel Hawthorne | examples=the United States shall guarantee to every state in this union a republican form of government; a very republican notion

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

reasoning_content: The task is Word Sense Disambiguation for the lemma "republican" with surface form "Republican" in the given 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: candidate
Target surface form: candidate
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial <t>candidate</t> and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=candidate%1:18:01:: | definition=a politician who is running for public office | synonyms=campaigner, nominee
2. sense_key=candidate%1:18:00:: | definition=someone who is considered for something (for an office or prize or honor etc.) | synonyms=prospect

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

reasoning_content: The task is to perform Word Sense Disambiguation for the lemma "candidate" in the given context. I need to choose the best indexed sense from the two provided.


[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: republican
Target surface form: Republican
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the <t>Republican</t> share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=republican%3:01:01:: | definition=relating to or belonging to the Republican Party | examples=a Republican senator; Republican party politics
2. sense_key=republican%5:00:00:democratic:00 | definition=having the supreme power lying in the body of citizens entitled to vote for officers and representatives responsible to them or characteristic of such government; - United States Constitution; ; - Philip Marsh; -Nathaniel Hawthorne | examples=the United States shall guarantee to every state in this union a republican form of government; a very republican notion

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

reasoning_content:
The task is Word Sense Disambiguation for "republican" with target surface form "Republican" in the given context.
The context is about US politics, Senate, Republicans, Democrats, GOP candidates, etc. It's clearly about the Republican Party.


[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: share
Target surface form: share
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican <t>share</t> of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=share%1:21:00:: | definition=assets belonging to or due to or contributed by an individual person or group | synonyms=portion, part, percentage | examples=he wanted his share in cash
2. sense_key=share%1:21:01:: | definition=any of the equal portions into which the capital stock of a corporation is divided and ownership of which is evidenced by a stock certificate | examples=he bought 100 shares of IBM at the market price
3. sense_key=share%1:04:00:: | definition=the allotment of some amount by dividing something | synonyms=parcel, portion | examples=death gets more than its share of attention from theologians
4. sense_key=share%1:04:01:: | definition=the part played by a person in bringing about a result | synonyms=contribution, part | examples=I am proud of my contribution in advancing the project; they all did their share of the work
5. sense_key=share%1:06:00:: | definition=a sharp steel wedge that cuts loose the top layer of soil | synonyms=plowshare, ploughshare

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

reasoning_content:
The task is to perform fine-grained Word Sense Disambiguation for the target lemma "share" with surface form "share" in the given context.
The target word is "share" in the surface form "share", and the context is about political stuff, like staffing decisions, ticket splitting, etc.

Looking at the context: "the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican <t>share</t> of the lower state house"

It's "Republican share of the lower state house" – this likely means the share or portion that Republicans get in the lower state house, like their portion of seats or votes.

In economics or politics, "share" often means the portion or percentage of something.

Looking at candidates:

1. assets 1:21:00 - portion, part, percentage. Example: his share in cash.

2. stock shares 1:21:01 - corporation shares.

3. allotment 1:04:00 - allotment by dividing, parcel, portion. Example: death's share of attention.

4. part played  1:04:01 - contribution, part.

5. plowshare 1:06:00 - irrelevant.

Between 1 and 3, both have portion.

But sense 1 has percentage as synonym, and in voting context, "vote share" is common term for percentage of votes.


[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: house
Target surface form: house
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state <t>house</t> is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=house%1:06:00:: | definition=a dwelling that serves as living quarters for one or more families | examples=he has a house on Cape Cod; she felt she had to get out of the house
2. sense_key=house%1:14:01:: | definition=the members of a business organization that owns or operates one or more establishments | synonyms=firm, business firm | examples=he worked for a brokerage house
3. sense_key=house%1:14:04:: | definition=the members of a religious community living together
4. sense_key=house%1:14:03:: | definition=the audience gathered together in a theatre or cinema | examples=the house applauded; he counted the house
5. sense_key=house%1:14:02:: | definition=an official assembly having legislative powers | examples=a bicameral legislature has two houses
6. sense_key=house%1:14:00:: | definition=aristocratic family line | examples=the House of York
7. sense_key=house%1:04:00:: | definition=play in which children take the roles of father or mother or children and pretend to interact like adults | examples=the children were playing house
8. sense_key=house%1:15:00:: | definition=(astrology) one of 12 equal areas into which the zodiac is divided | synonyms=sign of the zodiac, star sign, sign, mansion, planetary house
9. sense_key=house%1:14:06:: | definition=the management of a gambling house or casino | examples=the house gets a percentage of every bet
10. sense_key=house%1:14:05:: | definition=a social unit living together | synonyms=family, household, home, menage | examples=he moved his family to Virginia; It was a good Christian household
11. sense_key=house%1:06:02:: | definition=a building where theatrical performances or motion-picture shows can be presented | synonyms=theater, theatre | examples=the house was full
12. sense_key=house%1:06:01:: | definition=a building in which something is sheltered or located | examples=they had a large carriage house

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

reasoning_content: The task is to choose the single best indexed sense for the target word "house" in the given context. The context is about politics, Senate, state government, voting, etc.


[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: positive
Target surface form: positive
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a <t>positive</t> function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=positive%3:00:01:: | definition=characterized by or displaying affirmation or acceptance or certainty etc. | examples=a positive attitude; the reviews were all positive
2. sense_key=positive%5:00:00:certain:02 | definition=persuaded of; very sure | synonyms=convinced, confident | examples=were convinced that it would be to their advantage to join; I am positive he is lying
3. sense_key=positive%5:00:00:advantageous:00 | definition=involving advantage or good | synonyms=plus | examples=a plus (or positive) factor
4. sense_key=positive%3:00:04:: | definition=indicating existence or presence of a suspected condition or pathogen | synonyms=confirming | examples=a positive pregnancy test
5. sense_key=positive%5:00:00:formal:01 | definition=formally laid down or imposed | synonyms=prescribed | examples=positive laws
6. sense_key=positive%5:00:00:undeniable:00 | definition=impossible to deny or disprove | synonyms=incontrovertible, irrefutable | examples=incontrovertible proof of the defendant's innocence; proof positive
7. sense_key=positive%3:01:00:: | definition=of or relating to positivism | synonyms=positivist, positivistic | examples=positivist thinkers; positivist doctrine
8. sense_key=positive%3:00:05:: | definition=reckoned, situated or tending in the direction which naturally or arbitrarily is taken to indicate increase or progress or onward motion | examples=positive increase in graduating students
9. sense_key=positive%5:00:00:plus:00 | definition=greater than zero | examples=positive numbers
10. sense_key=positive%5:00:00:charged:00 | definition=having a positive charge | synonyms=electropositive, positively charged | examples=protons are positive
11. sense_key=positive%5:00:00:confident:00 | definition=marked by excessive confidence | synonyms=cocksure, overconfident | examples=an arrogant and cocksure materialist; so overconfident and impudent as to speak to the queen

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

reasoning_content:
The task is to choose the best indexed sense for "positive" in the context.
The context is: "the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a <t>positive</t> function of the state tax rate."

It's saying that the difference is a positive function of the state tax rate. In math, "f(x) is a positive function of x" might mean f(x) > 0, but here it's likely meaning that the difference increases positively with the tax rate, i.e., positive correlation or derivative positive.

Looking at the candidate senses, none directly say "positive relationship".

But sense 8: tending in the direction to indicate increase or progress. Example: positive increase in graduating students.

That matches "positive function" as in function that increases.

In econometrics, "positive effect" means increases.

Also, sense 9: greater than zero, positive numbers.

But for function, if it's a function that is positive-valued 9, but the phrasing is "positive function of".

I think it's sense 9, because in stats, "positive function" means the coefficient is positive or something.

Let's search my knowledge: in regression, "positive coefficient" means positive effect.

But here "positive function".

Upon thinking, in many texts, " is a positive function of X" means it increases with X.

For example, "GDP is a positive function of population".

Meaning grows with.

So, matches sense 8's "indicate increase".

Yes, and example has "positive increase".

I choose 8.

Confidence: fairly high, as it fits the increase direction.

\confidence{60}

{"sense_index":8}

No, return only JSON.

The instruction: Return only a JSON object exactly like {"sense_index": 3}.

So, for this, 8.

Yes.

I think it's 8.

Another thought: in the context, "positive function" likely means the function is positive, i.e., >0, sense 9.

Let's see.

In math, "positive function" means f(x)>0 for all x.

But "a positive function of" is different.

For example, google in mind: "the probability is a positive function of the size"

Meaning increases.

Yes.

In the text: "positive function of how onerous"

Meaning as tax burden higher, difference higher.

So, positive relation, increase.

Hence sense 8.

Yes.

So, the answer is 8.

The format: {"sense_index": 8}

 8 is the index for that sense.

Yes.

The senses are numbered starting from 1.

Yes.

And confidence inside \confidence{}

But the response should be the JSON, and confidence separate?

The system says: report a confidence (integer between 0 and 100) inside \confidence {}.

And the answer is the JSON.

So, I think output the JSON then the confidence.

But it says "Your team's answer should report a confidence ... inside \confidence{}."

And "Return only a JSON object exactly like {"sense_index": 3}.


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

[User]
Target lemma: function
Target surface form: function
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive <t>function</t> of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

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

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

reasoning_content:
The task is to perform Word Sense Disambiguation for the word "function" in the given context. I need to choose the best indexed sense from the candidate senses.
The context is about political science or political analysis, talking about voting behavior, tax burdens, etc.

The word is "function" in this sentence: "the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state"

And later: "a positive function of the state tax rate."

In statistics or econometrics, "function" often means a mathematical function, like how one variable depends on another.

It says "a positive function of", which in math terms means it increases as that variable increases.

Looking at the candidates 1 and 4 are mathematical senses.

Candidate 1 is the general mathematical function definition.


[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: state
Target surface form: state
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the <t>state</t> tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=state%1:15:01:: | definition=the territory occupied by one of the constituent administrative districts of a nation | synonyms=province | examples=his state is in the deep south
2. sense_key=state%1:03:00:: | definition=the way something is with respect to its main attributes | examples=the current state of knowledge; his state of health
3. sense_key=state%1:14:01:: | definition=the group of people comprising the government of a sovereign state | examples=the state has lowered its income tax
4. sense_key=state%1:14:00:: | definition=a politically organized body of people under a single government | synonyms=nation, country, land, commonwealth, res publica, body politic | examples=the state has elected a new president; African nations
5. sense_key=state%1:26:02:: | definition=(chemistry) the three traditional states of matter are solids (fixed shape and volume) and liquids (fixed volume and shaped by the container) and gases (filling the container) | synonyms=state of matter | examples=the solid state of water is called ice
6. sense_key=state%1:26:01:: | definition=a state of depression or agitation | examples=he was in such a state you just couldn't reason with him
7. sense_key=state%1:15:00:: | definition=the territory occupied by a nation | synonyms=country, land | examples=he returned to the land of his birth; he visited several European countries
8. sense_key=state%1:14:02:: | definition=the federal department in the United States that sets and maintains foreign policies | synonyms=Department of State, United States Department of State, State Department, DoS | examples=the Department of State was created in 1789

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

reasoning_content:
The task is to choose the best indexed sense for the target word "state" in the given context.
The context is about politics in the US Senate, states, taxes per state, state government, etc. Clearly, "state" here means the US state as in political entity, like California or Texas.

Looking at candidates:

1. territory occupied by constituent administrative district of a nation, synonyms=province, example=his state is in the deep south. This fits US states perfectly.

4 is for the whole nation or country.

7 is territory occupied by a nation (country).

So, definitely 1.

Confidence high, as context matches exactly.


[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: federal
Target surface form: federal
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the <t>federal</t> and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=federal%5:00:00:national:01 | definition=national; especially in reference to the government of the United States as distinct from that of its member units | examples=the Federal Bureau of Investigation; federal courts
2. sense_key=federal%3:01:02:: | definition=of or relating to the central government of a federation | examples=a federal district is one set aside as the seat of the national government
3. sense_key=federal%5:00:00:northern:02 | definition=being of or having to do with the northern United States and those loyal to the Union during the American Civil War | synonyms=Union | examples=Union soldiers; Federal forces
4. sense_key=federal%3:00:00:: | definition=characterized by or constituting a form of government in which power is divided between one central and several regional authorities | examples=a federal system like that of the United States; federal governments often evolved out of confederations

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

reasoning_content:
The task is Word Sense Disambiguation for "federal" in the given context. I need to choose the best indexed sense from the candidates.
The context mentions "federal" and "state government levels, comparing federal and state. It says "at both the federal and state government. It talks about federal government and state government, and mentions "federal" and "state government levels. It says "at both the <t>federal</t> and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation."

It's contrasting federal (national) and state levels.

Looking at candidates:

1. national; especially in reference to the government of the United States as distinct from that of its member units.


[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: level
Target surface form: levels
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government <t>levels</t> at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=level%1:07:00:: | definition=a position on a scale of intensity or amount or quality | synonyms=degree, grade | examples=a moderate grade of intelligence; a high level of care is required
2. sense_key=level%1:26:01:: | definition=a relative position or degree of value in a graded group | synonyms=grade, tier | examples=lumber of the highest grade
3. sense_key=level%1:26:00:: | definition=a specific identifiable position in a continuum or series or especially in a process | synonyms=degree, stage, point | examples=a remarkable degree of frankness; at what stage are the social sciences?
4. sense_key=level%1:07:01:: | definition=height above ground | examples=the water reached ankle level; the pictures were at the same level
5. sense_key=level%1:06:00:: | definition=indicator that establishes the horizontal when a bubble is centered in a tube of liquid | synonyms=spirit level
6. sense_key=level%1:06:03:: | definition=a flat surface at right angles to a plumb line | synonyms=horizontal surface | examples=park the car on the level
7. sense_key=level%1:09:00:: | definition=an abstract place usually conceived as having depth | synonyms=layer, stratum | examples=a good actor communicates on several levels; a simile has at least two layers of meaning
8. sense_key=level%1:06:01:: | definition=a structure consisting of a room or set of rooms at a single position along a vertical scale | synonyms=floor, storey, story | examples=what level is the office on?

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

reasoning_content:
The task is to choose the single best indexed sense for "levels" in the context.
The context is: "In sum, at both the federal and state government <t>levels</t> at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation."

It's talking about federal and state government levels, meaning different tiers or stages of government.

I need to choose 1. Choose the single best indexed sense for the target word in context.

The target word is "levels", and in the context it's <t>levels</t>, so it's "levels" as in government levels.

Looking at the candidates, they are all for "level", but the word is "levels", plural 2.

But senses are for "level".

In context, "government levels" – like levels of government.

Commonly, "levels of government" refer to federal, state, local – which are different tiers.

Looking at senses:

2. sense_key=level%1:26:01:: | definition=a relative position or degree of value in a graded group | synonyms=grade, tier | examples=lumber of the highest grade

This has "tier" as synonym, and tiers of government.

3. sense_key=level%1:26:00:: | definition=a specific identifiable position in a continuum or series or especially in a process | synonyms=degree, stage, point | examples=a remarkable degree of frankness; at what stage are the social sciences?

This is position in a series, like stages.

I think for "levels of government", it's often called "tiers of government" or "levels of government" meaning different administrative levels, which fits tier in sense 2.

Also, "at the federal level" is used, which is a specific position.

But I think sense 2 is better because of "tier".

Let's see typical usage.

Upon thinking, in political science, "levels of government" is standard, and synonymous with tiers.

For 3, "at what stage" is more for process.

The example for 3 has "at what stage are the social sciences?" which is like "at what level are we in the classification".

But I lean to 2.

Another is 7: layer, stratum.

But "levels" as layers of government – sometimes called layers.

But tier is closer.

I decide for 2.

Confidence: fairly high, 60.

So, the answer is 2.

The return is JSON {"sense_index": 2}

Yes.


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

[User]
Target lemma: part
Target surface form: part
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least <t>part</t> of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=part%1:24:00:: | definition=something determined in relation to something that includes it | synonyms=portion, component part, component, constituent | examples=he wanted to feel a part of something bigger than himself; I read a portion of the manuscript
2. sense_key=part%1:06:00:: | definition=something less than the whole of a human artifact | synonyms=portion | examples=the rear part of the house; glue the two parts together
3. sense_key=part%1:17:00:: | definition=a portion of a natural object | synonyms=piece | examples=they analyzed the river into three parts; he needed a piece of granite
4. sense_key=part%1:09:02:: | definition=that which concerns a person with regard to a particular role or situation | examples=it requires vigilance on our part; they resisted every effort on his part
5. sense_key=part%1:15:00:: | definition=the extended spatial location of something | synonyms=region | examples=the farming regions of France; religions in all parts of the world
6. sense_key=part%1:04:01:: | definition=the actions and activities assigned to or required or expected of a person or group | synonyms=function, office, role | examples=the function of a teacher; the government must do its part
7. sense_key=part%1:09:01:: | definition=an actor's portrayal of someone in a play | synonyms=character, role, theatrical role, persona | examples=she played the part of Desdemona
8. sense_key=part%1:21:00:: | definition=assets belonging to or due to or contributed by an individual person or group | synonyms=share, portion, percentage | examples=he wanted his share in cash
9. sense_key=part%1:09:00:: | definition=one of the portions into which something is regarded as divided and which together constitute a whole | synonyms=section, division | examples=the written part of the exam; the finance section of the company
10. sense_key=part%1:08:01:: | definition=a line of scalp that can be seen when sections of hair are combed in opposite directions | synonyms=parting | examples=his part was right in the middle
11. sense_key=part%1:10:00:: | definition=the melody carried by a particular voice or instrument in polyphonic music | synonyms=voice | examples=he tried to sing the tenor part
12. sense_key=part%1:04:03:: | definition=the part played by a person in bringing about a result | synonyms=contribution, share | examples=I am proud of my contribution in advancing the project; they all did their share of the work

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

reasoning_content:
The task is to choose the best indexed sense for "part" in the context. The target is "part" and it's tagged as <t>part</t>.
The context is: "In sum, at both the federal and state government levels at least <t>part</t> of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation."

It's saying "at least part of the seemingly irrational behavior..."

So, "part" here means a portion of the behavior.

Looking at candidates:

1.


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

[User]
Target lemma: irrational
Target surface form: irrational
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly <t>irrational</t> behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=irrational%3:00:00:: | definition=not consistent with or using reason | examples=irrational fears; irrational animals
2. sense_key=irrational%3:01:00:: | definition=real but not expressible as the quotient of two integers | examples=irrational numbers

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

reasoning_content: The task is Word Sense Disambiguation for "irrational" in the given 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: behavior
Target surface form: behavior
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational <t>behavior</t> voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=behavior%1:04:00:: | definition=manner of acting or controlling yourself | synonyms=behaviour, conduct, doings
2. sense_key=behavior%1:26:00:: | definition=the action or reaction of something (as a machine or substance) under specified circumstances | synonyms=behaviour | examples=the behavior of small particles can be studied in experiments
3. sense_key=behavior%1:07:00:: | definition=(behavioral attributes) the way a person behaves toward other people | synonyms=demeanor, demeanour, behaviour, conduct, deportment
4. sense_key=behavior%1:04:01:: | definition=(psychology) the aggregate of the responses or reactions or movements made by an organism in any situation | synonyms=behaviour

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

reasoning_content:
The task is Word Sense Disambiguation for "behavior" in the given context.
The context is: "In sum, at both the federal and state government levels at least part of the seemingly irrational <t>behavior</t> voters display in the voting booth may have an exceedingly rational explanation."

It's about voters' behavior in the voting booth, which seems irrational but has a rational explanation. So, it's the way voters act or behave in that situation.

Candidate senses:

1. manner of acting or controlling yourself | synonyms=behaviour, conduct, doings

This fits well: manner of acting, and conduct is synonym.

3.