detumescence 发表于 2025-3-21 19:52:39

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解开 发表于 2025-3-21 23:27:46

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chiropractor 发表于 2025-3-22 02:04:45

Potential Differential Systems of Order One and Catastrophe Theory,calar field ƒ, and curves of maximal local increase off. If the potential ƒ is a subharmonic (respectively harmonic or supraharmonic) fuction, i.e., Δf≥ 0 (respectively Δf = 0 or Δƒ≤ 0), then the flow generated by grad f increases (respectively preserves or decreases) the volume (see 5.1).

admission 发表于 2025-3-22 05:46:30

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项目 发表于 2025-3-22 10:25:01

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Figate 发表于 2025-3-22 15:11:21

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Figate 发表于 2025-3-22 18:58:35

Book 2000e trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc

倔强不能 发表于 2025-3-22 22:35:29

e shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc978-94-010-5822-3978-94-011-4187-1

预测 发表于 2025-3-23 02:38:55

https://doi.org/10.1007/978-1-349-19886-3are self-distributed as tangent vectors to curves. The parallel, torse forming, Newtonian, electrostatic, etc vector fields serve as examples for finding analytic expressions of the field lines (see 3.1, 3.2).

detach 发表于 2025-3-23 07:10:56

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查看完整版本: Titlebook: Geometric Dynamics; Constantin Udrişte Book 2000 Kluwer Academic Publishers 2000 dynamics.geometry.manifold.mathematics.mechanics