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Tag Archives: linear transforms
Angle = Volume
This is trippy, and profound. The determinant — which tells you the change in size after a matrix transformation 𝓜 — is just an Instance of the Alternating Multilinear Map. (Alternating meaning it goes + − + − + − + … Continue reading
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Tagged abstract, angle, deep, determinant, differential form, direction, linear algebra, linear operator, linear transforms, mapping, math, mathematics, maths, matrix, multilinear map, shape, size, tensor, trippy, vector, volume
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Vectors
Vectors, concretely, are arrows, with a head and a tail. If two arrows share a tail, then you can measure the angle between them. The length of the arrow represents the magnitude of the vector. The modern abstract view is … Continue reading
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Tagged angle, corpus, cryptography, education, field, force, Fourier series, functional analysis, generalised number, generalised numbers, jpeg, linear algebra, linear transforms, long reads, math, mathematics, maths, number, Photoshop, science, shearing, signal analysis, Taylor series, thermodynamics, vectors
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