using LaTex to write math in Blogger

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Probability (Gaussian Distribution)

$f(x; \mu, \sigma) = \frac{1}{\sigma \sqrt{2 \pi}} e^{ - \frac{(x-\mu)^2}{2\sigma^2} }$

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DSP (Fourier Transorm)

$X[k]=\sum\limits_{n=0}^{N-1} {x[n] e^{-j k \frac{2\pi}{N} n}} , \forall k \in [0.. N-1] \\ x[n]=\frac{1}{N} \sum\limits_{k=0}^{N-1} {X[k] e^{j k \frac{2\pi}{N} n}} , \forall n \in [0.. N-1]$

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Matrix

$$\begin{bmatrix} \alpha, \beta, \gamma, \delta, \\ \epsilon, \zeta, \eta, \theta, \\ \iota, \kappa, \lambda, \mu, \nu, \xi, \\ \omicron, \pi, \rho, \sigma, \tau, \\ \upsilon, \phi, \chi, \psi, \\ \omega. \end{bmatrix}$$

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Greek

$\\ \alpha == a-lpha\\ \\ \beta = b-eta,\\ \gamma = g-amma,\\ \delta = d-elta,\\ \\ \epsilon == e-psilon\\ \\ \zeta = z-eta,\\ \eta = h-eta,\\ \theta = th-eta,\\ \\ \iota == io-ta\\ \\ \kappa = k-appa,\\ \lambda = l-ambda,\\ \mu = m-u,\\ \nu = n-u,\\ \xi = x-i,\\ \\ \omicron == o-micron\\ \\ \pi = p-i,\\ \rho = rh-o,\\ \sigma = s-igma,\\ \tau = t-au,\\ \\ \upsilon == u-psilon\\ \\ \phi = ph-i,\\ \chi = ch-i,\\ \psi = ps-i,\\ \\ \omega == o-mega\\ \\ $

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Greek

$\\ \alpha == a-lpha\\ \\ \\ \epsilon == e-psilon\\ \\ \\ \iota == io-ta\\ \\ \\ \omicron == o-micron\\ \\ \\ \upsilon == u-psilon\\ \\ \\ \omega == o-mega\\ \\ \beta = b-eta,\\ \gamma = g-amma,\\ \delta = d-elta,\\ \zeta = z-eta,\\ \eta = h-eta,\\ \theta = th-eta,\\ \kappa = k-appa,\\ \lambda = l-ambda,\\ \sigma = s-igma,\\ \mu = m-u,\\ \nu = n-u,\\ \pi = p-i,\\ \phi = ph-i,\\ \chi = ch-i,\\ \psi = ps-i,\\ \xi = x-i, ks-i\\ \rho = rh-o,\\ \tau = t-au,\\ $

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