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Multidimensional Dynamical Systems Accepting the Normal Shift

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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A.Yu.Boldin, R.A.Sharipov (Department of Mathematics, Bashkir State University, Frunze str. 32, 450074 Ufa, Russia)

patt-sol · Submitted 4 Apr 1993

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

The authors' main claim The partial differential equations for the force field $\bold F(\bold r,\dot\bold r)$ of the dynamical systems with weak and complete normality are derived.

how it is stated · asserted 1.00 read the record →

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arXiv IDpatt-sol/9404001 (version 1)
Pith IDZFKA3QK5, Pith's permanent record of this paper and its review
Citation450074 Ufa, A.Yu.Boldin, Bashkir State University, Frunze str. 32, R.A.Sharipov (Department of Mathematics, Russia). "Multidimensional Dynamical Systems Accepting the Normal Shift." arXiv:patt-sol/9404001 (1993). https://pith.science/paper/ZFKA3QK5
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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, 2,918 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · 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; .

The dynamical systems of the form $\ddot\bold r=\bold F (\bold r,\dot\bold r)$ in $\Bbb R^n$ accepting the normal shift are considered. The concept of weak normality for them is introduced. The partial differential equations for the force field $\bold F(\bold r,\dot\bold r)$ of the dynamical systems with weak and complete normality are derived.

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 The dynamical systems of the form $\ddot\bold r=\bold F (\bold r,\dot\bold r)$ in $\Bbb R^n$ accepting the normal shift are considered. background 0.77 0.37 0.05 asserted 0.77
s1 The concept of weak normality for them is introduced. contribution 0.99 0.89 0.06 asserted 0.99
s2 The partial differential equations for the force field $\bold F(\bold r,\dot\bold r)$ of the dynamical systems with weak and complete normality are derived. result 0.57 0.90 0.41 asserted 1.00

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

What was examined, and what was not

sources read
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  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

The dynamical systems of the form $\ddot\bold r=\bold F (\bold r,\dot\bold r)$ in $\Bbb R^n$ accepting the normal shift are considered. The concept of weak normality for them is introduced. The partial differential equations for the force field $\bold F(\bold r,\dot\bold r)$ of the dynamical systems with weak and complete normality are derived.

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