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Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....
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There are 10 types of people in the world
Those who know binary, and those who don't. The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...
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Numerical Integration
Input * |x0|, a real number greater than 0 Output * |I|, a numerical estimate of the integral x0 / I...
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Differential equations I
Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation dy...
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Monte-Carlo integration
Write a function that estimates a d-dimensional integral to at least 1% relative precision. Inputs: * d: positive integer....
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Fibonacci sequence
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Input...
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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...
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Throwing Dice - Will You Be Eaten By The Dragon?
You and a dragon have agreed to let dice rolls determine whether it eats you or not. The dragon will roll a single die, of x si...
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Chess probability
The difference in the ratings between two players serves as a predictor of the outcome of a match (the <http://en.wikipedia.org/...
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Roll the Dice!
Description Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice. Example [x1,x2] = rollDice(...
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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 ...
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Calculate Amount of Cake Frosting
Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...
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Back to basics 21 - Matrix replicating
Covering some basic topics I haven't seen elsewhere on Cody. Given an input matrix, generate an output matrix that consists o...
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sum of non-primes
The sum of the non-primes no larger than 10 is 1+4+6+8+9+10=38 Find the sum of all the positive non-prime integers that do no...
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subtract central cross
Given an n-by-n square matrix, where n is an odd number, return the matrix without the central row and the central column.
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surrounded matrix
With a given matrix A (size m x n) create a matrix B (size m+2 x n+2) so that the matrix A is surrounded by ones: A = [1 2 ...
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Area of a Square
Given the length x of the side of a regular square, find the area of the square, A.
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Given a number N, find the smallest prime P>N
Given a number N, find the smallest prime P greater than N. For example: If N=10 then P=11. If N=13 then P=17.
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area of an annulus
Given the diameter d of the inner circle of the annulus. Given length z of a chord of the outer circle of the annulus. This chor...
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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...
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How to add?
* Imagine you are in 2222 Anno Domini, when everyone must learn how to add, * and competing for the highly prestigious post of,...
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