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On the spherical quasi-convexity of quadratic functions on spherical self-dual convex sets

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Orizon P. Ferreira, Sándor Z. Németh, Lianghai Xiao

Optimization and Control · Submitted 16 May 2019

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

The authors' main claim Sufficient conditions for spherical quasi-convexity on spherically subdual convex sets are presented.

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arXiv ID1905.06891 (version 3)
Pith IDVWNM5FYC, Pith's permanent record of this paper and its review
CitationLianghai Xiao, Orizon P. Ferreira, S\'andor Z. N\'emeth. "On the spherical quasi-convexity of quadratic functions on spherical self-dual convex sets." arXiv:1905.06891 (2019). https://pith.science/paper/VWNM5FYC
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,880 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.40 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; .

In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual convex sets is studied. Sufficient conditions for spherical quasi-convexity on spherically subdual convex sets are presented. A partial characterization of spherical quasi-convexity on spherical Lorentz sets is given and some examples are provided.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual convex sets is studied. contribution 0.91 0.87 0.14 asserted 0.92
s1 Sufficient conditions for spherical quasi-convexity on spherically subdual convex sets are presented. contribution 0.56 0.92 0.30 asserted 1.00
s2 A partial characterization of spherical quasi-convexity on spherical Lorentz sets is given and some examples are provided. contribution 0.62 0.91 0.22 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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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

In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual convex sets is studied. Sufficient conditions for spherical quasi-convexity on spherically subdual convex sets are presented. A partial characterization of spherical quasi-convexity on spherical Lorentz sets is given and some examples are provided.

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