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On the weighted Gau{\ss}--Radau Quadrature

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Sascha Trostorff, Marcus Waurick

History and Overview · Submitted 25 Oct 2016

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

The authors' main claim In particular, we focus on the location of the Gau\ss--Radau points being a continuous function of the $L^1$-weighting function.

how it is stated · asserted 0.94 read the record →

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arXiv ID1610.09016 (version 1)
Pith IDKO2AFF67, Pith's permanent record of this paper and its review
CitationMarcus Waurick, Sascha Trostorff. "On the weighted Gau{\ss}--Radau Quadrature." arXiv:1610.09016 (2016). https://pith.science/paper/KO2AFF67
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,254 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.19 · human participants 0.01 · 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.

The abstract, sentence by sentence

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

In this short note, we collect some facts on the weighted Gau{\ss}--Radau quadrature. In particular, we focus on the location of the Gau\ss--Radau points being a continuous function of the $L^1$-weighting function.

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 In this short note, we collect some facts on the weighted Gau{\ss}--Radau quadrature. contribution 0.86 0.69 0.05 asserted 0.58
s1 In particular, we focus on the location of the Gau\ss--Radau points being a continuous function of the $L^1$-weighting function. contribution 0.86 0.55 0.61 asserted 0.94

What kind of paper the classifier reports this is: review 0.63 · evidence from proof or derivation 0.59.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • 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

In this short note, we collect some facts on the weighted Gau{\ss}--Radau quadrature. In particular, we focus on the location of the Gau\ss--Radau points being a continuous function of the $L^1$-weighting function.

Human review

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How the literature uses it

2 arXiv papers cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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