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Map between pairs $(X,A) \to (Y,B)$ induces homomorphism taking $C_n(A)$ to $C_n(B)$

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#algebraic-topology #homology-cohomology
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Interpolant from Dopri5 schema

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#interpolation
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How do i calculate those given matrices to reach to base B and C

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#linear-algebra #linear-transformations #transformation #change-of-basis
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Separable differential equation in spherical coordinates

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#partial-differential-equations
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Integer times vector bundle notation in Hatcher

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#differential-geometry #vector-bundles #k-theory
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Gradient-based methods on quasi-convex problems?

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#analysis #numerical-methods #convex-optimization #numerical-optimization
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external ray and period of Julia sets

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#complex-analysis #dynamical-systems
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Use matrix notation to denote the residual sum-of-squares (RSS)

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#statistics
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maximize combination(n, x) * combination(n, y)

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#optimization #combinations
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Prove that $\left|\sum_{k\geq 0}(-1)^k {N-k-1 \choose N-2k}\right| = 1$ if $N\equiv 1 \bmod 3$ or $0$ otherwise

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#combinatorics
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Differential entropy as an expectation

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#probability
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(Bayesian probability) Show that $P(H|E) = \frac{h (c +a \overline c)}{hc+a\overline c}$

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#probability #conditional-probability #bayesian #bayes-theorem #bayesian-network
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Proving that the language Lq = {x.y : x and y are binary strings and [x.y]2 ≤ q} is not regular if q is irrational

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#real-numbers #automata #binary
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Understanding Probability Distributions

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#probability #probability-theory #probability-distributions #intuition
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Approximation of quadratic variation of martingales

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#probability #stochastic-processes #martingales #stochastic-analysis #quadratic-variation

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