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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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0111 · Oct 201419922001200920172026
3 results for “Curtate trochoids”
A Kinematic and Geometric Analysis of Trochoidal Wavesphysics.flu-dyn

Analyzes Gerstner's trochoidal waves and their geometric properties.

problem Understanding the geometry and kinematics of trochoidal waves.
method Derives velocity and arc length conditions for cycloidal, curtate, and prolate trochoids using Galilean transformations.
result Conditions for arc lengths of prolate and curtate trochoids to coincide over a wave cycle.
Trochoidal wavesGerstner wavesCycloidsCurtate trochoidsProlate trochoids
2025-12-05abs ↗pdf ↗
On colorability of knots by rotations, Torus knot and PL trochoidmath.GT

The set consisting of all rotations of the Euclidean plane is equipped with a quandle structure. We show that a knot is colorable by this quandle if and only if its Alexander polynomial has a root on the unit circle in C\mathbb{C}. Further we enumerate all non-trivial colorings of a torus knot diagram by the quandle u…

2014-10-10abs ↗pdf ↗