Custom Variables

    Math.js Functions

    FunctionWhat it does
    abs(x)Calculate the absolute value of a number
    add(x, y)Add two or more values, x + y
    cbrt(x [, allRoots])Calculates the cubic root of a value
    ceil(x)Round a value towards plus infinity If x is complex, both real and imaginary parts are rounded towards plus infinity
    cube(x)Compute the cube of a value, x * x * x
    divide(x, y)Divide two values, x / y
    dotPow(x, y)Calculates the power of x to y element-wise
    exp(x)Calculate the exponent of a value
    expm1(x)Calculate the value of subtracting 1 from the exponential value
    fix(x)Round a value towards zero
    floor(x)Round a value towards minus infinity
    gcd(a, b)Calculate the greatest common divisor for two or more values or arrays
    hypot(a, b, …)Calculate the hypotenusa of a list with values
    lcm(a, b)Calculate the least common multiple for two or more values or arrays
    log(x [, base])Calculate the logarithm of a value
    log10(x)Calculate the 10-base logarithm of a value
    log1p(x)Calculate the logarithm of a value+1
    log2(x)Calculate the 2-base of a value
    mod(x, y)Calculates the modulus, the remainder of an integer division
    multiply(x, y)Multiply two or more values, x * y
    norm(x [, p])Calculate the norm of a number, vector or matrix
    nthRoot(a)Calculate the nth root of a value
    nthRoots(x)Calculate the nth roots of a value
    pow(x, y)Calculates the power of x to y, x ^ y
    round(x [, n])Round a value towards the nearest integer
    sign(x)Compute the sign of a value
    sqrt(x)Calculate the square root of a value
    square(x)Compute the square of a value, x * x
    subtract(x, y)Subtract two values, x – y
    unaryMinus(x)Inverse the sign of a value, apply a unary minus operation
    unaryPlus(x)Unary plus operation
    xgcd(a, b)Calculate the extended greatest common divisor for two values
    FunctionsWhat it does
    bitAnd(x, y)Bitwise AND two values, x & y
    bitNot(x)Bitwise NOT value, ~x
    bitOr(x, y)Bitwise OR two values, x | y
    bitXor(x, y)Bitwise XOR two values, x ^ y
    leftShift(x, y)Bitwise left logical shift of a value x by y number of bits, x << y
    rightArithShift(x, y)Bitwise right arithmetic shift of a value x by y number of bits, x >> y
    rightLogShift(x, y)Bitwise right logical shift of value x by y number of bits, x >>> y
    FunctionWhat it does
    and(x, y)Logical and
    not(x)Logical not
    or(x, y)Logical or
    xor(x, y)Logical xor
    FunctionWhat it does
    index(range1, range2,…)Create an index. An Index can store ranges having start, step, and end for multiple dimensions. Matrix.get, Matrix.set, and math.subset accept an Index as input.
    subset(value, index)Get or set a subset of a matrix or string.
    size(x)Calculate the size of a matrix or scalar
    sort(x)Sort the items in a matrix
    FunctionWhat it does
    factorial(n)Compute the factorial of a value Factorial only supports an integer value as argument
    gamma(n)Compute the gamma function of a value using Lanczos approximation for small values, and an extended Stirling approximation for large values
    pickRandom(array)Random pick one or more values from a one dimensional array
    random([min, max])Return a random number larger or equal to min and smaller than max using a uniform distribution
    randomInt([min, max])Return a random integer number larger or equal to min and smaller than max using a uniform distribution
    FunctionWhate it does
    compare(x, y)Compare two values
    compareNatural(x, y)Compare two values of any type in a deterministic, natural way
    equal(x, y)Test whether two values are equal
    larger(x, y)Test whether value x is larger than y
    largerEq(x, y)Test whether value x is larger or equal to y
    smaller(x, y)Test whether value x is smaller than y
    smallerEq(x, y)Test whether value x is smaller or equal to y
    unequal(x, y)Test whether two values are unequal
    FunctionWhat it does
    mad(a, b, c, …)Compute the median absolute deviation of a matrix or a list with values
    max(a, b, c, …)Compute the maximum value of a matrix or a list with values
    mean(a, b, c, …)Compute the mean value of matrix or a list with values
    median(a, b, c, …)Compute the median of a matrix or a list with values
    min(a, b, c, …)Compute the minimum value of a matrix or a list of values
    mode(a, b, c, …)Computes the mode of a set of numbers or a list with values(numbers or characters)
    prod(a, b, c, …)Compute the product of a matrix or a list with values
    std(a, b, c, …)Compute the standard deviation of a matrix or a list with values
    sum(a, b, c, …)Compute the sum of a matrix or a list with values
    variance(a, b, c, …)Compute the variance of a matrix or a list with values
    FunctionWhat it does
    acos(x)Calculate the inverse cosine of a value
    acosh(x)Calculate the hyperbolic arccos of a value, defined as acosh(x) = ln(sqrt(x^2 – 1) + x)
    acot(x)Calculate the inverse cotangent of a value, defined as acot(x) = atan(1/x)
    acoth(x)Calculate the hyperbolic arccotangent of a value, defined as acoth(x) = atanh(1/x) = (ln((x+1)/x) + ln(x/(x-1))) / 2
    acsc(x)Calculate the inverse cosecant of a value, defined as acsc(x) = asin(1/x)
    acsch(x)Calculate the hyperbolic arccosecant of a value, defined as acsch(x) = asinh(1/x) = ln(1/x + sqrt(1/x^2 + 1))
    asec(x)Calculate the inverse secant of a value
    asech(x)Calculate the hyperbolic arcsecant of a value, defined as asech(x) = acosh(1/x) = ln(sqrt(1/x^2 – 1) + 1/x)
    asin(x)Calculate the inverse sine of a value
    asinh(x)Calculate the hyperbolic arcsine of a value, defined as asinh(x) = ln(x + sqrt(x^2 + 1))
    atan(x)Calculate the inverse tangent of a value
    atan2(y, x)Calculate the inverse tangent function with two arguments, y/x
    atanh(x)Calculate the hyperbolic arctangent of a value, defined as atanh(x) = ln((1 + x)/(1 – x)) / 2
    cos(x)Calculate the cosine of a value
    cosh(x)Calculate the hyperbolic cosine of a value, defined as cosh(x) = 1/2 * (exp(x) + exp(-x))
    cot(x)Calculate the cotangent of a value
    coth(x)Calculate the hyperbolic cotangent of a value, defined as coth(x) = 1 / tanh(x)
    csc(x)Calculate the cosecant of a value, defined as csc(x) = 1/sin(x)
    csch(x)Calculate the hyperbolic cosecant of a value, defined as csch(x) = 1 / sinh(x)
    sec(x)Calculate the secant of a value, defined as sec(x) = 1/cos(x)
    sech(x)Calculate the hyperbolic secant of a value, defined as sech(x) = 1 / cosh(x)
    sin(x)Calculate the sine of a value
    sinh(x)Calculate the hyperbolic sine of a value, defined as sinh(x) = 1/2 * (exp(x) – exp(-x))
    tan(x)Calculate the tangent of a value
    tanh(x)Calculate the hyperbolic tangent of a value, defined as tanh(x)=(exp(2 * x) – 1)/(exp(2 * x)+1)
    FunctionWhat it does
    hasNumericValue(x)Test whether a value is a numeric value
    isInteger(x)Test whether a value is an integer number
    isNaN(x)Test whether a value is NaN (not a number)
    isNegative(x)Test whether a value is negative: smaller than zero
    isNumeric(x)Test whether a value is an numeric value
    isPositive(x)Test whether a value is positive: larger than zero
    isPrime(x)Test whether a value is prime: has no divisors other than itself and one
    isZero(x)Test whether a value is zero
    Contents

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