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The Factorial Force

(𝜏𝐹!)

Factorial function:

Gives the factorial of any number[n!]





nCr function:

Calculates nCr







nPr function:

Calculates nPr







Summation function:

Calculates the result of sigma function (Don't enter things like 10x in element. Instead, write like 10*x)









Linear equation function:

Gives the value of x in a linear equation (Don't enter things like 10x, instead write 10*x)





Polynomial function:

Gives the roots of a polynomial equation (Write coefficients like 1,2,3)





Prime checker function:

Tells if a number is prime or not





Dearrangement function:

Gives the dearrangement of any number[d(n)]





Permutation search function:

Gives permutations that follow a conditions from a set of numbers (Write condition like lst[0]+lst[1]==3 and list like 1,2,3,4)



LCM function:

Gives the LCM of a list (Write numbers like 1,2,3,4)





GCD function:

Gives the GCD of a list (Write numbers like 1,2,3,4)





Divisibility function(any):

Finds the list of numbers in the range 1 to n which are divisible by at least one of the numbers in a set (Write list like 1,2,3,4)







Divisibility function(all):

Finds the list of numbers in the range 1 to n which are divisible by at all the numbers in a set (Write list like 1,2,3,4)







Phi function:

Gives the phi of any number[phi(n)]





Matrix function:

Adds or multiplies matrices (Write matrices like [1,2,3,4];[5,6,7,8])









Matrix transpose function:

Transposes matrices (Write matrices like [1,2,3,4];[5,6,7,8])





Colour cycling grid:

Creates a custom grid and cycles between the colors







Sieve of Eratosthenes function:

Gives the list of prime numbers from 1 to n




Modular inverse function:

Finds the modular inverse [b*modular inverse of b ☰ 1(mod m)]







Modular linear solver function:

For three given numbers a, b, and m, finds a number c or number of solutions wanted solutions (depends upon whether multiple solutions exist or not) that b * c ≡ a (mod m)











Nearest triangular number function:

Finds the nearest triangular numbers of a number