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If a matrix has repeated eigenvalues, the eigenvectors of the matched repeated eigenvalues become one of eigenspace. For example, the …

Gaussian kernel matrix can be factorized into \((\Phi \textbf{X})^\textbf{H} \Phi \textbf{X} =\textbf{X}^\textbf{H} \Phi^\textbf{H} …

The infinite impulse response is a property of a filter of digital signal processing. The filter response of the impulse signal does …

Cauchy’s integral formula defines analytic function evaluation with path integral with denominator translation at evaluation point …

The presence of primitive function is a strong condition that makes a function is analytic in a disc \(D(a,R)\). The meaning is the …

A norm of linear transformation \(\Lambda : X \rightarrow Y\) is defined by \(\| \Lambda \| = \sup \{ \| \Lambda(x) \|:x \in X, \|x\| …

It is the main subject of analysis that finding conditions making sequential mathematical objects like a set, sequence, series to be …

The Fourier series represents a periodic function as a descrete vectors. The Fourier transformation turns a time domain non-periodic …

yaml --- mainfont: NanumGothic output: pdf_document: latex_engine: xelatex --- The mainfont is the LaTex option. The argument is a font …

Convolution is a vector operation on two vectors. \[ Convolution \\ c * d = d*c \\ (c*d)_n = \Sigma_{i+j} c_i d_j = \Sigma_i c_i …