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Mathematical demonstration of the distance concentration in high dimensions

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#probability-theory #machine-learning #dimensional-analysis #concentration-of-measure
65
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What is the physical dimension of a reciprocal vector?

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#mathematical-physics #dimensional-analysis
168
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Problem with unit coversion (temperature)

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#algebra-precalculus #dimensional-analysis
21
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How to achieve (approx) unit scaling of a non-linear diffusion (heat) equation with a wildly varying diffusion coefficient?

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#partial-differential-equations #nonlinear-system #heat-equation #dimensional-analysis
543
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How far will a cup sink under the following conditions?

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#volume #dimensional-analysis
839
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Volume of $n$-hyper-sphere derivation

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#volume #dimensional-analysis
243
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Fluid Mechanics. How to nondimensionalize a variable with a power law index.

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#partial-differential-equations #fluid-dynamics #dimensional-analysis
141
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Isn't $\overrightarrow{\omega} t=\theta$ equating a vector to a scalar?

Published on
#vectors #circles #classical-mechanics #dimensional-analysis
634
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What, if anything, is a square radian?

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#geometry #circles #classical-mechanics #dimensional-analysis
16
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How can one imagine the lattice packing of (hyper)spherical particles, in n-dimensional space? like we have the lattices in 3D?

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#dimensional-analysis
314
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Help non-dimensionalizing predator-prey ODE system

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#ordinary-differential-equations #dimensional-analysis
328
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Can we always non-dimensionalize ODEs?

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#ordinary-differential-equations #dimensional-analysis
74
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Dimensional analysis of a very simple utility function

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#economics #dimensional-analysis
19
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Derivating $z(x)=y(x+\Delta x)-y(x)$

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#derivatives #dimensional-analysis
96
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Proving the product rule using dimensional analysis

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#calculus #proof-writing #proof-explanation #solution-verification #dimensional-analysis

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