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Most important formulas Day-3 The above equation represents the Jordan normal form of a matrix A.  This form is a canonical representation of a square matrix over a field. J is the Jordan matrix, which is a block diagonal matrix composed of Jordan blocks. P is an invertible matrix. The concept is named after the French mathematician Camille Jordan, who discovered it. @edmathlab

Most important formulas Day-2 This image displays a fundamental result in number theory known as Fermat's Little Theorem.  Formula: The equation (a^(p-1)=1 (mod p) states that if (p) is a prime number and (a) is an integer not divisible by (p), then (a^{p-1}) leaves a remainder of 1 when divided by (p). Alternative Form: An equivalent form of the theorem is a^p = a (mod p), which holds true for all integers (a) .  @edmathlab

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DAY-1 MOST IMPORTANT FORMULAS This image displays the formula for the Fourier Transform, which decomposes a signal into its constituent frequencies. Significance: It is a fundamental mathematical tool in science and engineering used for analyzing complex signals. Applications: It is widely used in signal processing to filter noise and in image processing for data compression. History: The concept was developed by Joseph Fourier, originally to analyze heat flow. @EDMATHLAB

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Continuation of Part 1 @edmathlab

Next is Part 2..stay tuned 😌 @edmathlab