Modular Inverse Calculator Number a (ax ≡ 1 (mod m)): Modulus m (must be positive): Calculate Modular Inverse About the Modular Inverse Calculator The Modular Inverse Calculator is a scientifically accurate tool designed to compute the modular multiplicative inverse of a number a modulo m, satisfying ax ≡ 1 (mod m). Using the […]
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Euler’s Theorem Calculator Base a (a^φ(n) ≡ 1 (mod n)): Modulus n (must be positive): Calculate About the Euler’s Theorem Calculator The Euler’s Theorem Calculator is a scientifically accurate tool designed to compute modular exponentiation using Euler’s Theorem. It applies the theorem a^φ(n) ≡ 1 (mod n) for integers a and n where
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Fermat’s Little Theorem Calculator Base a (a^(p-1) ≡ 1 (mod p)): Prime Modulus p: Calculate About the Fermat’s Little Theorem Calculator The Fermat’s Little Theorem Calculator is a scientifically accurate tool designed to compute modular exponentiation using Fermat’s Little Theorem. It applies the theorem a^(p-1) ≡ 1 (mod p) for a prime p
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Chinese Remainder Theorem Calculator Number of Congruences (2-4): Generate Congruence Inputs Solve System About the Chinese Remainder Theorem Calculator The Chinese Remainder Theorem Calculator is a scientifically accurate tool designed to solve systems of linear congruences using the Chinese Remainder Theorem. It computes a unique solution modulo the product of pairwise coprime moduli,
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Linear Congruence Solver Coefficient a (ax ≡ b (mod m)): Constant b (ax ≡ b (mod m)): Modulus m (ax ≡ b (mod m)): Solve Linear Congruence About the Linear Congruence Solver The Linear Congruence Solver is a scientifically accurate tool designed to solve linear congruence equations of the form ax ≡ b
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Stationary Distribution Calculator Matrix Size (2-4 states): Generate Matrix Inputs Calculate Stationary Distribution About the Stationary Distribution Calculator The Stationary Distribution Calculator is a scientifically accurate tool designed to compute the stationary distribution of a Stationary Distribution for a Markov chain. It solves the system πP = π with Σπ_i = 1, using
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Transition Matrix Calculator Matrix Size (2-4 states): Generate Matrix Inputs Calculate Steady-State Probabilities About the Transition Matrix Calculator The Transition Matrix Calculator is a scientifically accurate tool designed to compute the steady-state probabilities of a Markov chain using a Transition Matrix. It solves the system πP = π with Σπ_i = 1, based
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Markov Chain Calculator Matrix Size (2-4 states): Generate Matrix Inputs Calculate Steady-State Probabilities About the Markov Chain Calculator The Markov Chain Calculator is a scientifically accurate tool designed to compute the steady-state probabilities of a Markov Chain. It uses the transition matrix to calculate long-term probabilities, solving the system πP = π and
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Law of Total Probability Calculator Number of Partition Events (2-5): Generate Event Inputs Calculate Total Probability About the Law of Total Probability Calculator The Law of Total Probability Calculator is a scientifically accurate tool designed to compute the total probability of an event using the Law of Total Probability. It applies the formula
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Standard Deviation of Random Variable Calculator Values of Random Variable (comma-separated): Probabilities (comma-separated): Calculate Standard Deviation About the Standard Deviation of Random Variable Calculator The Standard Deviation of Random Variable Calculator is a scientifically accurate tool designed to compute the standard deviation of a discrete random variable, based on established probability theory. It
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