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The Orchard relation of a generic symmetric or antisymmetric function

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Roland Bacher

Combinatorics · Submitted 18 Apr 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We associate to certain symmetric or antisymmetric functions on the set ${E\choose d+1}$ of $(d+1)-$subsets in a finite set $E$ an equivalence relation on $E$ and study some of its properties.

how it is stated · asserted 0.97 read the record →

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arXiv IDmath/0304252 (version 1)
Pith IDG6NBNHEE, Pith's permanent record of this paper and its review
CitationRoland Bacher. "The Orchard relation of a generic symmetric or antisymmetric function." arXiv:math/0304252 (2003). https://pith.science/paper/G6NBNHEE
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,679 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We associate to certain symmetric or antisymmetric functions on the set ${E\choose d+1}$ of $(d+1)-$subsets in a finite set $E$ an equivalence relation on $E$ and study some of its properties.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We associate to certain symmetric or antisymmetric functions on the set ${E\choose d+1}$ of $(d+1)-$subsets in a finite set $E$ an equivalence relation on $E$ and study some of its properties. contribution 1.00 0.93 0.22 asserted 0.97

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 0.99.

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  • full text
  • figures and tables
  • references and citing sentences
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  • P abstract
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  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We associate to certain symmetric or antisymmetric functions on the set ${E\choose d+1}$ of $(d+1)-$subsets in a finite set $E$ an equivalence relation on $E$ and study some of its properties.

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