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Solved
Construct finite difference approximations of derivatives
In solving a differential equation with a finite-difference method, one computes derivatives with various combinations of the fu...
1 hour ago
Solved
Solve a Weird Calculator puzzle
The September 2012 issue of GAMES Magazine had a Weird Calculator puzzle by Erich Friedman. In this puzzle, the calculator has o...
1 hour ago
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Count alternating permutations
In an alternating permutation of numbers 1 to n, the numbers are arranged so that they alternately increase and decrease. For ex...
1 hour ago
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Construct dimensionless parameters
*Summary* Write a function to construct dimensionless parameters from a list of variables, a matrix indicating their dimensi...
1 hour ago
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Find the zeros of the Bessel function of the first kind
<https://mathworld.wolfram.com/BesselFunctionoftheFirstKind.html Bessel functions> are important in many problems in mathematica...
2 hours ago
Solved
Compute the Bernoulli numbers
The <https://en.wikipedia.org/wiki/Bernoulli_number Bernoulli numbers> appear in several applications in number theory, includin...
2 hours ago
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Solve Geozee
Geozee is a new daily puzzle game where you have to assign 9 countries to 9 categories. Categories are such things as "Human Dev...
7 hours ago
Solved
Show me the shape of your array
Write a function that determines the shape of the input array x: Return 'square' if x has the same number of rows and colum...
12 hours ago
Solved
Decode an Encrypted AES image using CTR (counter mode) with no padding
Given an encoded AES image using CTR mode with no padding, the Initialization Vector (IV) (32 byte in uint8), and the AESkey (25...
14 hours ago
Solved
Decode Message using AES with Cipher Block Chaining (CBC) and PKCS#5 padding
Provided an encrypted message using AES CBC mode with PKCS#5 padding, an encrypted AES key in the form of an audio .wav file tha...
15 hours ago
Solved
Bit Stream conversion to Audio Frequency Shift Key using Bell 202 (Modem)
Convert a character binary bit-stream transmitted at a certain baud-rate into an audio stream using Audio Frequency Shift Key (A...
1 day ago
Solved
Compute the Ramanujan tau function for large numbers
The Ramanujan tau function is defined by the relation where . The first few values of are 1, -24, 252, -1472, and 4830. Wr...
1 day ago
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Integrate a Power-Tower of a Function
Write a function to compute this integral: Where the function, F(x), will be provided as an Anonymous function of x, and th...
1 day ago
Solved
Quasi-Carmichael Numbers
Determine if the provided inputs are Quasi-Carmichael numbers and output a logical matrix of the same size as the input.
1 day ago
Solved
Minimum, Maximum, and Number of Primitive Roots Modulo (m)
This is a continuation of problem 59212, find the number of primitive roots modulo (m) and output the minimum and maximum of tho...
1 day ago
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Sum of Consecutive Positive Integers Equals Product of Limiting Values
Determine m and n for the following equation: For example: 3 + 4 + 5 + 6 = 6*3 is the first occurance that satisfies the equat...
1 day ago
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Heronian Triangles with Consecutive Integral Sides and Integral Area
Hero's area formula for any triangle with sides a, b, c is: . Heronian triangles are triangles having integral sides and integr...
1 day ago
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Quaternions to Rotation Matrices
Given a matrix of Quaternions (along the rows), output a 3D matrix of Rotation Matrices.
3 days ago
Solved
Rotation Matrix to Euler Angles
Given a rotation matrix, generate the Euler Angles as output [phi,theta,psi]. [phi is a rotation around X-axis, theta is rotatio...
3 days ago
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Solutions to Generalized Pell Equation or Quadratic Diophantine
The generalized Pell equation is of the form: . Given D and N as inputs, output the first 50 positive integer solutions [x, y] s...
3 days ago
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Is the Matrix Square?
Write a function that determines whether the input matrix x is square. Return true if x has the same number of rows and columns...
3 days ago
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Convert Periodic Continued Fraction to Fractional Radical Representation
Every periodic continued fraction can be prepresented by a number of the form where p, q, and d are all integers with d>0, , an...
4 days ago
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B-Zuckerman Numbers
Similar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digit...
5 days ago
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B-Harshad Numbers
Determine (and provide as output in decimal form) all the harshad numbers base B (B-Harshad) from a given array of decimal numbe...
5 days ago
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Consecutive Pairs of Smooth Numbers from Set of Prime Numbers
Given an input set of prime numbers (p), generate all pairs of consecutive smooth numbers (x) (see Stormer's Theorem). For exam...
5 days ago
Solved
N-th Digit of all Write-Down Numbers
Write-Down Numbers are: 123456789101112131415161718192021222324252627282930... What is the N'th digit (where N is represented a...
5 days ago
Solved
To Bet or Not to Bet
Given your current poker hand, the visible cards of your opponent's hand, and the total number of cards being dealt (5 card stud...
5 days ago
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Determine Poker Hand Winner
Determine the poker hand winner from two hands of cards (each hand will contain the same number of cards between five and thirte...
5 days ago
Solved
Evaluate Poker Hand
Given an input table of card values and card suits between five and thirteen cards, choose the best five cards and output the ra...
5 days ago
