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Circulants and DFT: properties and computations

https://sudonull.com/circulants-and-dft-properties-and-computations

Breakdown of circulants, their connection with discrete Fourier transform, FFT and Gaussian sums. Eigenvalues, algebraic structure for developers. Study the theory and algorithms.

Custom WPF Controls: Styles and Attached Properties

https://sudonull.com/custom-wpf-controls-styles-and-attached-properties

How to Style Buttons and Toggles in WPF Without Creating UserControl. Practical Examples with Attached Properties and Animations.

Elementary functions: analysis and complex properties

https://sudonull.com/elementary-functions-analysis-and-complex-properties

Strict definition of exponential, logarithm, sin/cos through complex analysis. Parametrization of the circle, natural parameter. For mathematicians and developers — study properties without simplifications. Read the full breakdown.

Moment Generating Function: formulas and properties

https://sudonull.com/moment-generating-function-formulas-and-properties

Study the moment generating function for computing moments of distributions. Taylor series expansion, properties for sums, example with exponential distribution. For developers and data science analysts.

CSS3 support in browsers: prefixes table

https://sudonull.com/css3-support-in-browsers-prefixes-table

Detailed CSS3 properties compatibility table across browsers: versions, prefixes -webkit-, -moz-, -ms-. Guide for middle/senior developers. Check support and optimize code now.

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