Abstract: For any linear and time-invariant system, its output is the linear convolution between the variable input sequence and the constant system impulse response. When the input is long and the ...

Circular RNAs (circRNAs), a class of covalently closed, non-coding RNAs, have recently emerged as crucial regulators of gene expression. They exert their roles through microRNA (miRNA) sponging, ...

Repeated convolution and truncation of a truncated fat-tailed distribution, instead of Monte Carlo simulation, for pricing a discrete, simple barrier option is presented. The parameters for the ...

N6-methyladenosine (m6A) is the best-studied post-transcriptional RNA modification. It refers to the methylation in the N6 position. M6A exists universally from viruses to mammalian cells and is ...

A windowed sinc function can implement a low-pass filter, and a two-dimensional convolutional filter can blur or sharpen images. In part 3 of this series, we introduced a low-pass filter based on the ...

Circular functions, primarily sine and cosine, are fundamental to understanding how waves—such as sound and electrical signals—are mathematically modeled and manipulated. These periodic functions have ...

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