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Centroids under Linear Transformations

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#linear-transformations #affine-geometry
61
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Non-degenerate bilinear form

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#linear-algebra #linear-transformations #bilinear-form
120
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If the multiplicity of $\lambda_1$ is $r_1$ in characteristic polynomial of $A$, then $\operatorname{null}(A-\lambda_1 I)^{r_1} = r_1$

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#linear-algebra #linear-transformations #minimal-polynomials
826
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Determine whether a given linear map is injective/surjective

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#linear-algebra #linear-transformations
209
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Convolution of absolute magnitude =/= absolute magnitude of convolution?

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#complex-numbers #linear-transformations #convolution
1.8k
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Linear Transformations and Left-multiplication Matrix

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#linear-algebra #matrices #linear-transformations
247
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a linear operator on the space of continuous maps from $C[0,1]$ to $\mathbb R$

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#probability #linear-transformations #markov-chains #expected-value
64
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Is the functional mapping $x$ to the statistical limit of $x$ bounded (continuous)?

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#functional-analysis #convergence-divergence #linear-transformations #unbounded-operators
830
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An easy proof that an isometry preserving the zero vector is linear

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#linear-algebra #linear-transformations #isometry
41
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Linear transformations and image

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#linear-algebra #linear-transformations
1.3k
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Linear transformations and triangles

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#linear-algebra #linear-transformations #triangles
1k
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Is a linear transformation with non-empty kernel and image intersection necessarily nilpotent?

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#linear-algebra #linear-transformations
50
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Why is a map defined as $A \rightarrow V^\dagger A V$ for all V completely positive?

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#linear-algebra #matrices #linear-transformations #adjoint-operators #positive-semidefinite
33
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Obtaining a number from another by a function composition sequence

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#functions #linear-transformations
38
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Distribution of (piece-wise linear) transformed normal random variables

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#probability #statistics #linear-transformations #normal-distribution #density-function

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