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Exploring a rheonomic system

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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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Antonio S. de Castro

Classical Physics · Submitted 23 Dec 1999

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

The authors' main claim The non-conservative system possess a Lagrangian not explicitly dependent on time and consequently there is a Jacobi's integral.

how it is stated · asserted 1.00 read the record →

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arXiv IDphysics/9912049 (version 1)
Pith ID32SXUDGV, Pith's permanent record of this paper and its review
CitationAntonio S. de Castro. "Exploring a rheonomic system." arXiv:physics/9912049 (1999). https://pith.science/paper/32SXUDGV
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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, 4,079 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.90 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

A simple and illustrative rheonomic system is explored in the Lagrangian formalism. The difference between Jacobi's integral and energy is highlighted. A sharp contrast with remarks found in the literature is pointed out. The non-conservative system possess a Lagrangian not explicitly dependent on time and consequently there is a Jacobi's integral. The Lagrange undetermined multiplier method is used as a complement to obtain a few interesting conclusions

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 A simple and illustrative rheonomic system is explored in the Lagrangian formalism. contribution 0.95 0.88 0.07 asserted 0.99
s1 The difference between Jacobi's integral and energy is highlighted. result 0.59 0.81 0.13 asserted 1.00
s2 A sharp contrast with remarks found in the literature is pointed out. contribution 0.65 0.75 0.08 asserted 0.99
s3 The non-conservative system possess a Lagrangian not explicitly dependent on time and consequently there is a Jacobi's integral. result 0.97 0.70 0.54 asserted 1.00
s4 The Lagrange undetermined multiplier method is used as a complement to obtain a few interesting conclusions method 0.98 0.87 0.09 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.94 · evidence from proof or derivation 0.99.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

A simple and illustrative rheonomic system is explored in the Lagrangian formalism. The difference between Jacobi's integral and energy is highlighted. A sharp contrast with remarks found in the literature is pointed out. The non-conservative system possess a Lagrangian not explicitly dependent on time and consequently there is a Jacobi's integral. The Lagrange undetermined multiplier method is used as a complement to obtain a few interesting conclusions

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