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Laplace transform substitutions

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#laplace-transform
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Formula of sum of 4th powers of roots of a polynomial

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#linear-algebra #polynomials
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Caratheodory function on compact set and boundedness

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#measure-theory
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Characterization of continuous flows on an interval

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#real-analysis #semigroup-of-operators
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Approximation of the limit of adjacent sequences

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#sequences-and-series
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Existence of measurable maximizers

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#optimization #compactness #measurable-functions
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Solve $S_{nm} \sum_{j}x_{nj}\operatorname*{sign}\left( \sum_{k}x_{kj} S_{km} \right) \geq 0$ for $x_{kj}$

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#inequality
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Matrix Representation of Strided and Dilated Convolutions

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#linear-algebra #convolution
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Find a process corresponding to a covariance function.

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#stochastic-processes #covariance
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All tangent planes to a surface of revolution (S) at points M of A (intersection of (S) with the plane of equation: z=a) pass by a fixed point.

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#differential-geometry
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Proofing Slater's condtion iterative?

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#optimization #convex-analysis #convex-optimization #nonlinear-optimization #karush-kuhn-tucker
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Derivation Regression Factor Analysis

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#regression
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Product Property for Lévy Processes

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#stochastic-processes #markov-process #stochastic-differential-equations #levy-processes
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Dummy variable with multiple criteria - how to

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#finance #binary #economics
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Differential mapping not uniquely determined by f(x), when A is not an open set

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#real-analysis

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