Affine CipherBuilds the Affine Cipher Translation Algorithm from a string given an a and b value
CalculatorAutomorphic NumberThis calculator determines the nth automorphic number
CalculatorBoolean Algebra MultiplicationDetermines the product of two expressions using boolean algebra.
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Watch the VideoChinese Remainder TheoremGiven a set of modulo equations in the form:
x ≡ a mod b
x ≡ c mod d
x ≡ e mod f
the calculator will use the Chinese Remainder Theorem to find the lowest possible solution for x in each modulus equation.
Given that the ni portions are not pairwise coprime and you entered two modulo equations, then the calculator will attempt to solve using the Method of Successive Subsitution
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Watch the VideoCollatz ConjectureTakes any natural number using the Collatz Conjecture and reduces it down to 1.
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Watch the VideoComposite NumberThis calculator determines the nth composite number. Helps you generate composite numbers.
CalculatorCongruence Modulo nGiven a possible congruence relation a ≡ b (mod n), this determines if the relation holds true (b is congruent to c modulo n).
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Watch the VideoCross PartitionsGiven a set of partitions, this determines the cross partitions.
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Watch the VideoDecagonal NumberThis calculator determines the nth decagonal number
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Watch the VideoDerangements - SubfactorialsCalculates the number of derangements/subfactorial !n.
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Watch the VideoDigit ProblemsDetermines how many (n) digit numbers can be formed based on a variety of criteria.
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Watch the VideoDiophantine EquationsSolves for ax + by = c using integer solutions if they exist
CalculatorEuclids Algorithm and Euclids Extended AlgorithmGiven 2 numbers a and b, this calculates the following
1) The Greatest Common Divisor (GCD) using Euclids Algorithm
2) x and y in Bézouts Identity ax + by = d using Euclids Extended Algorithm
Extended Euclidean Algorithm
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Watch the VideoEulers Totient (φ)Given a positive integer (n), this calculates Euler's totient, also known as φ
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Watch the VideoFermats Little TheoremFor any integer a and a prime number p, this demonstrates Fermats Little Theorem.
CalculatorFinite FieldDemonstrates the addition table and multiplication table for a finite field (Galois Field) of n denoted GF(n).
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Watch the VideoGamma Constant γThis calculator generates 5000 iterations for the development of the gamma constant γ
CalculatorGroup CombinationsGiven an original group of certain types of member, this determines how many groups/teams can be formed using a certain condition.
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Watch the VideoHeptagonal NumberThis calculator determines the nth heptagonal number
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Watch the VideoHexagonal NumberThis calculator determines the nth hexagonal number
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Watch the VideoHyperbolic FunctionCalculates hyperbolic function values:
sinh, cosh, tanh, csch, sech, coth
CalculatorHyperbolic InverseCalculates hyperbolic function values:
arcsinh, arccosh, arctanh, arccsch, arcsech, arccoth
CalculatorInterpolationGiven a set of data, this interpolates using the following methods:
* Linear Interpolation
* Nearest Neighbor (Piecewise Constant)
* Polynomial Interpolation
CalculatorInterval PartitionGiven a partitioned interval, this evaluates the norm (mesh) by calculating each subinterval
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Watch the VideoLagrange Four Square Theorem (Bachet Conjecture)Builds the Lagrange Theorem Notation (Bachet Conjecture) for any natural number using the Sum of four squares.
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Watch the VideoLetter Arrangements in a WordGiven a word, this determines the number of unique arrangements of letters in the word.
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Watch the VideoLinear CongruenceGiven an modular equation ax ≡ b (mod m), this solves for x if a solution exists
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Watch the VideoLinear Congruential GeneratorUsing the linear congruential generator algorithm, this generates a list of random numbers based on your inputs
CalculatorModular Exponentiation and Successive SquaringSolves xn mod p using the following methods:
* Modular Exponentiation
* Successive Squaring
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Watch the VideoModulusGiven 2 integers a and b, this modulo calculator determines a mod b or simplifies modular arithmetic such as 7 mod 3 + 5 mod 8 - 32 mod 5
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Watch the VideoModus PonensShows modus Ponens definition and examples
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Watch the VideoModus TollensShows Modus Tollens definition and examples
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Watch the VideoMultifactorialsCalculates the multifactorial n!(m)
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Watch the VideoNonagonal NumberThis calculator determines the nth nonagonal number
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Watch the VideoNumber PropertyThis calculator determines if an integer you entered has any of the following properties:
* Even Numbers or Odd Numbers (Parity Function or even-odd numbers)
* Evil Numbers or Odious Numbers
* Perfect Numbers, Abundant Numbers, or Deficient Numbers
* Triangular Numbers
* Prime Numbers or Composite Numbers
* Automorphic (Curious)
* Undulating Numbers
* Square Numbers
* Cube Numbers
* Palindrome Numbers
* Repunit Numbers
* Apocalyptic Power
* Pentagonal
* Tetrahedral (Pyramidal)
* Narcissistic (Plus Perfect)
* Catalan
* Repunit
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Watch the VideoOctagonal NumberThis calculator determines the nth octagonal number
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Watch the VideoOrdered and Unordered PartitionsGiven a population size (n) and a group population of (m), this calculator determines how many ordered or unordered groups of (m) can be formed from (n)
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Watch the VideoPentagonal NumberThis calculator determines the nth pentagonal number
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Watch the VideoPrimitive RootGiven a prime number p and a potential root of b, this determines if b is a primitive root of p.
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Watch the VideoQuotient-Remainder TheoremGiven 2 positive integers n and d, this displays the quotient remainder theorem.
CalculatorRectangular NumberThis calculator determines the nth rectangular number
CalculatorSieve of EratosthenesUsing the Sieve of Eratosthenes algorithm, this will show how many prime numbers are less than a number (n).
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Watch the VideoSquare NumberThis calculator determines the nth square number
CalculatorTriangular NumberThis calculator determines the nth triangular number. Generates composite numbers.
CalculatorTruth TablesSets up a truth table based on a logical statement of 1, 2 or 3 letters with statements such as propositions, equivalence, conjunction, disjunction, negation. Includes modus ponens.
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