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15
103
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Link between curvature and evolut of a curve

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#geometry #euclidean-geometry #curves #curvature
179
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Compact smooth surfaces in $\mathbb{R}^3$ with constant mean curvature and positive Gaussian curvature is a sphere.

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#differential-geometry #curves #surfaces #curvature
63
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Doubt about the definition of the normal plane of a curve

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#differential-geometry #curves
71
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Tractrix as catenary evolvent

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#geometry #differential-geometry #curves #differential #reparameterization-trick
52
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Area, length of curve and volume of $f(x,y) = \cosh(x)$

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#real-analysis #integration #definite-integrals #curves
87
Views

Bijection between lifts of a simple closed curve and its cosets in $\pi_1$

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#algebraic-topology #curves #fundamental-groups #covering-spaces
89
Views

What’s the significance of c’(t) = 0

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#multivariable-calculus #physics #curves
158
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Rank of elliptic curve over $\Bbb{Q}(2^{1/3})$

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#curves #elliptic-curves #arithmetic-geometry
33
Views

Is it possible to uniquely find the shape of a curve using the tensorial formula of curve length?

Published on
#differential-geometry #tensors #curves
106
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Line of curvature of two surfaces that make a constant angle along a common curve

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#differential-geometry #curves #surfaces
37
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Proof clamped nurbs curve is tangent to first and last legs of its control points

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#proof-writing #curves #spline
74
Views

Classification of curves passing through 7 points. (Hartshorne III ex 10.7)

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#algebraic-geometry #curves #cubics
89
Views

Conditions for a smooth curve

Published on
#calculus #curves #parametric
143
Views

Fitting a non-linear curve in symmetric positive definite matrix manifold

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#statistics #differential-geometry #curves #machine-learning #covariance
59
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Close form for sum on infinite radii

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#geometry #summation #closed-form #curves

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