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Solved
"mirror" matrix
Create n x 2n "mirror" matrix of this type: Examples For n = 2 m = [ 1 2 2 1 1 2 2 1 ] For n = 3 m = ...
17 days ago
Solved
Make a Star Pyramid
Create a star pyramid. First line will have 1 star, second will have two stars and so on... a basic program which is easily done...
17 days ago
Solved
Create a Multiplication table matrix...
Create a product table in this format: P = [ 1 2 3 4 5; 2 4 6 8 10; 3 6 9 12 15; 4 8 12 1...
17 days ago
Solved
Mirror Image matrix across anti-diagonal
Given an input number x, create a mirror image matrix 'Y' across the anti-diagonal. For example, if x=3, Y = [1 2 3; ...
17 days ago
Solved
Spot the rectangle
This problem is related to the 17x17 challenge. Given a matrix filled with ones and zeros, determine whether or not any rectangl...
17 days ago
Solved
Spot the rectangle (Part 2)
This problem is related to the 17x17 challenge. See also Part 1 of this problem. Given a matrix in which each element is either ...
17 days ago
Solved
Pascal's Matrix
Given an integer n ≥ 0, generate the ( _n_+1) × ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...
17 days ago
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Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...
17 days ago
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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...
17 days ago
Solved
Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...
17 days ago
Solved
Side of a rhombus
If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...
17 days ago
Solved
Area of an Isoceles Triangle
An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...
17 days ago
Solved
Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return true if the triangle with sides a, b and c is right-...
17 days ago
Solved
Is this triangle right-angled?
Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...
17 days ago
Solved
Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...
17 days ago
Solved
Triangle sequence
A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the second...
17 days ago
Solved
Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...
17 days ago
Solved
Solve a System of Linear Equations
Example: If a system of linear equations in x₁ and x₂ is: 2x₁ + x₂ = 2 x₁ - 4 x₂ = 3 Then the coefficient matrix (A) is: 2 ...
2 months ago
Solved
Roll the Dice!
Description Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice. Example [x1,x2] = rollDice(...
2 months ago
Solved
Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?
2 months ago
Solved
Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
2 months ago
Solved
Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
2 months ago
Solved
Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?
2 months ago
Solved
Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?
2 months ago
Solved
Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?
2 months ago
Solved
Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given number of...
2 months ago
Solved
Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
2 months ago
Solved
Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.
2 months ago
Solved
Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.
2 months ago