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Sums of cubes and squares of sums
Given the positive integers 1:n, can you: 1. Compute twice the sum of the cubes of those numbers. 2. Subtract the square...

11 months ago

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Cryptomath: Addition
W A I T + A L L --------- G I F T S equals: 9 6 0 8 + 6 7 7 --------- 1 0 2 8 5 Given str...

11 months ago

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Balanced Ternary Numbers: Easy as |, |-, |o
This problem concerns the so-called <http://en.wikipedia.org/wiki/Balanced_ternary balanced ternary> system for representing num...

11 months ago

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Generating random matrix with given probability mass function
Inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2356-simulating-the-selection-of-a-state-with-given-probabilit...

11 months ago

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Create a random vector of integers with given sum
Your task today is to write a function that returns a vector of integer numbers, between, and including, 1 and m, of which the s...

11 months ago

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Guess the number I'm thinking of (Part 1)
In this game you are competing against two other people to guess the number that I'm thinking of. I randomly choose an integer ...

11 months ago

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Goldbach's marginal conjecture - Write integer as sum of three primes
Goldbach's strong conjecture states that every even integer greater than 2 can be expressed as the sum of two primes. For exampl...

11 months ago

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Find the nearest prime number
Happy 5th birthday, Cody! Since 5 is a prime number, let's have some fun looking for other prime numbers. Given a positive in...

11 months ago

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Extra safe primes
Did you know that the number 5 is the first safe prime? A safe prime is a prime number that can be expressed as 2p+1, where p is...

11 months ago

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Pernicious Anniversary Problem
Since Cody is 5 years old, it's pernicious. A <http://rosettacode.org/wiki/Pernicious_numbers Pernicious number> is an integer w...

11 months ago

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Prime Ladders
A <http://en.wikipedia.org/wiki/Word_ladder word ladder> transforms one word to another by means of single-letter mutations. So ...

11 months ago

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(Linear) Recurrence Equations - Generalised Fibonacci-like sequences
This problem is inspired by problems <http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187>, <htt...

11 months ago

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How many Fibonacci numbers?
Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

11 months ago

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Fibonacci Decomposition
Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

11 months ago

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Extract Built In Functions and Toolbox Functions from String or Function Handle
Find the Built-In functions and Toolbox functions in either a string or a function handle. Generate a string of alphabetized ...

11 months ago

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Data decompression
A chunk of data is to be 'decompressed'. Input: * compressed: a row vector of uint8 values. This is the compressed data. ...

11 months ago

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Word Distance - Sum
Let's suppose that the distance of a word can be calculated by summing the differences between its letters, having assigned the ...

11 months ago

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Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?

11 months ago

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Sum of series VIII

11 months ago

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Sum of series
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)

11 months ago

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Number of Even Elements in Fibonacci Sequence
Find how many even Fibonacci numbers are available in the first d numbers. Consider the following first 14 numbers 1 1 2...

11 months ago

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Find the next Fibonacci number
In the sequence of Fibonacci numbers, every number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55...

11 months ago

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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,....

11 months ago

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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 ...

11 months ago

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Diagonal Pattern
For a positive integer |n|, return an |nXn| matrix |mat| such that the value of each element in row |i| and column |j| is given ...

11 months ago

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Draw a '0' in a one matrix!

11 months ago

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Circular Primes (based on Project Euler, problem 35)
The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime. The...

11 months ago

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Find the next prime number
Find the next prime number or numbers for given n. For example: n = 1; out = 2; or n = [5 7]; out = [7 11]; ...

11 months ago

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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...

11 months ago

Solved

Binary code (array)
Write a function which calculates the binary code of a number 'n' and gives the result as an array(vector). Example: Inpu...

11 months ago