Prime Calc

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PrimeCalc - free scientific symbolic calculator

- 70 functions, 20 mathematical constants and up to six variables

- New functions and constants can be defined by the user

- Supports complex numbers

- Matrices, vectors, sets and calculations on them

- Solves the mathematical equations

- Calculate the integrals and derivatives

- Step-by-step calculations

- And many more

Supported functions, operators, and mathematical constants:

Arithmetic:

Operators +, -, ×, ÷, %

x^n - nth power of x

√(x) - Square root of x

√(n, x) - nth root of x

ln(x) - Natural logarithm of x

log(x) - Logarithm of x to base 10

log(n, x) - Logarithm of x to base n

∑(f(x), imin, imax) - Summation of f(x) from imin to imax

∏(f(x), imin, imax) - Product of f(x) from imin to imax

Mathematical analysis:

∫(f(x)) - Indefinite integral of f(x)

∫(f(x), xmin, xmax) - Definite integral of f(x) from xmin to xmax

∂(f(x)) - Derivative of f(x)

lim(f(x), c) - Limit of f(x) when x approaches c

Equation solving:

Representation of polynomial - x^2+3x-2=0

= - Polynomial equation operator

Numerical Functions:

m mod n - Remainder of m ÷ n

gcd(m, n) - Greatest common divisor of m and n

lcm(m, n) - Least common multiple of m and n

abs(n) - Absolute value of n

round(n) - Integer closest to n

frac(n) - Fractional part of n

floor(n) - Floor value of n

ceil(n) - Ceiling value of n

Complex numbers:

Representation - 5+2i

re(c) - Real part of complex number c

im(c) - Imaginary part of complex number c

Statistics:

median([a]) - Median of [a]

gmean([a]) - Geometric mean of [a]

amean([a]) - Arithmetic mean of [a]

randi(n) - Random integer from 0 to n

randr - Random real from 0 to 1

Number theory:

harmonicN(n) - nth harmonic number

Combinatorics:

n! - Factorial of n

binomial(n, k) - Binomial coefficient

multinomial(n1, n2, ...) - Multinomial coefficient

catalanN(n) - nth Catalan number

fibonacci(n) - nth Fibonacci number

Trigonometric functions:

sin(x), cos(x), tan(x)

sec(x), csc(x), cot(x)

asin(x), acos(x), atan(x), acot(x)

Hyperbolic functions:

sinh(x), cosh(x), tanh(x)

arsinh(x), arcosh(x), artanh(x)

Matrixes:

Representation - [[1,2],[3,4]]

[m1]⋅[m2] - Product of [m1] and [m2]

tran([m]) - Transpose [m]

ctran([m]) - Conjugate and transpose [m]

inverse([m]) - Invert [m]

det([m]) - Determinant of [m]

tr([m]) - Trace of [m]

mpow([m], n) - nth matrix power of [m]

Number sets:

Representation - [1,2]

union([a1], [a2]) - Union of two sets

intersec([a1], [a2]) - Intersection of two sets

max([a]) - Largest element of [a]

min([a]) - Smallest element of [a]

Constants:

π - Number Pi

e - Euler's number

i - Imaginary unit

∞ - Infinity

γ - Euler–Mascheroni constant

G - Catalan's constant

A - Glaisher–Kinkelin constant

φ - Golden ratio

κ - Khinchin's constant

C₂ - Twin prime constant

ζ₃ - Apéry's constant

B₄ - Brun's constant for prime quadruplets

B₂ - Brun's constant for twin primes

EB - Erdős–Borwein constant

δ - Feigenbaum first constant

α - Feigenbaum second constants

BL - Legendre's constant

M₁ - Meissel–Mertens constant