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A mathematical model describing the trajectory of the bearing in an internal gear pump

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Hung Manh Nguyen, Trong Hoa Pham

Optimization and Control · Submitted 24 Oct 2024

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

The authors' main claim This paper presents a mathematical model for determining the movement of the bearing in an internal gear pump.

how it is stated · asserted 0.99 read the record →

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arXiv ID2410.19871 (version 1)
Pith IDS56QEBGT, Pith's permanent record of this paper and its review
CitationHung Manh Nguyen, Trong Hoa Pham. "A mathematical model describing the trajectory of the bearing in an internal gear pump." arXiv:2410.19871 (2024). https://pith.science/paper/S56QEBGT
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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, 2,201 input tokens.

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

The abstract, sentence by sentence

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

This paper presents a mathematical model for determining the movement of the bearing in an internal gear pump. The paper also performs simulation calculations to find the movement trajectory of the shaft with the given input data.

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 This paper presents a mathematical model for determining the movement of the bearing in an internal gear pump. contribution 0.97 0.91 0.12 asserted 0.99
s1 The paper also performs simulation calculations to find the movement trajectory of the shaft with the given input data. method 0.81 0.93 0.09 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.84 · evidence from simulation or computation 0.97.

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

This paper presents a mathematical model for determining the movement of the bearing in an internal gear pump. The paper also performs simulation calculations to find the movement trajectory of the shaft with the given input data.

Human review

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