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Counting Sequence
Given a vector x, find the "counting sequence" y. A counting sequence is formed by "counting" the entries in a given sequence...

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What is the next step in Conway's Life?
Given a matrix A that represents the state of <http://en.wikipedia.org/wiki/Conway's_Game_of_Life Conway's game of Life> at one ...

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Make one big string out of two smaller strings
If you have two small strings, like 'a' and 'b', return them put together like 'ab'. 'a' and 'b' => 'ab' For extra ...

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Geometric series
Find the sum, given the first term t1, the common ratio r, and number of terms n. Examples If input t1=1, r=1, n=7 the...

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Remove NaN ?
input -> matrix (n*m) with at least one element equal to NaN; output -> matrix(p*m), the same matrix where we deleted the enti...

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No Twins?
Write a function that accepts as input a vector and returns the same vector, but retaining only the first occurrence of an eleme...

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Kaprekar numbers
Test if the input is a Kaprekar number: <http://mathworld.wolfram.com/KaprekarNumber.html>. Return a logical true or false. ...

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Woodall number
Test whether the input is a Woodall number: <http://en.wikipedia.org/wiki/Woodall_number> _Please do not cheat by simply chec...

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Project Euler: Problem 8, Find largest product in a large string of numbers
Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

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vectorization in N
For a given integer n (n>1), compute the sum f (i) (1 <= i <= n) where f (i) = 1 if n is odd and 2 otherwise.

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Infernal Recursion
Consider the recursion relation: x_n = (x_(n-1)*x_(n-2))^k Given x_1, x_2, and k, x_n can be found by this definition. Wr...

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The Tower of Hanoi
In the <http://en.wikipedia.org/wiki/Tower_of_Hanoi Tower of Hanoi problem> with 3 rods (1, 2 & 3), the goal is to move a tower ...

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Construct a string from letters and counts
Given two input arrays like this: [5,3,1] ['a','b','c'] Output a string that contains each letter the specified num...

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fly fly away
A fly moves following a predefined sequence of discrete jumps (defined by the vectors _dx_ and _dy_) repeating the same sequence...

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Sorted highest to lowest?
Return 1 if the input is sorted from highest to lowest, 0 if not. Example: 1:7 -> 0 [7 5 2] -> 1

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Convert Roman to Arabic Numerals
Based upon what I see on tv and at the movies, the use of Roman numerals indicates something is important or sophisticated (e.g....

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Extract leading non-zero digit
<http://en.wikipedia.org/wiki/Benford%27s_law Benford's Law> states that the distribution of leading digits is not random. This...

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Summing digits
Given n, find the sum of the digits that make up 2^n. Example: Input n = 7 Output b = 11 since 2^7 = 128, and 1 + ...

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Circle and Quadratic
Imagine the quadratic curve with equation y=y(x)=ax^2+bx+c On the concave side of this curve there is a circle of radius...

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Math with Roman Numerals
Given a function R within (+,-,*,/) and two Roman numerals a & b, compute aRb in Roman numerals.

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Swap the input arguments
Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

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Find Rotated Substring
Given a string s1, find if a rotated version of s1 is present in a second string s2. For example, rotated version of some str...

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Project Euler: Problem 5, Smallest multiple
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...

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the fly, the train, the second train, and their Zeno's paradox
*You have heard this one*: A train leaves station _A_ and travels with constant velocity _v1_. A second train leaves station _B_...

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Renaming a field in a structure array
MATLAB has a <http://www.mathworks.com/help/techdoc/ref/setfield.html setfield> and a <http://www.mathworks.com/help/techdoc/ref...

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Read a Soroban Abacus
*Description* The Soroban is the name of the modern Japanese abacus. Information on reading a Soroban can be found <http://we...

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Project Euler: Problem 16, Sums of Digits of Powers of Two
2^15 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26. What is the sum of the digits of the number 2^N? Thanks ...

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Twins in a Window
<http://en.wikipedia.org/wiki/Twin_primes Twin primes> are prime numbers that differ by 2, such as [11,13] or [41,43]. Write a f...

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Smallest distance between a point and a rectangle
Given two points *x* and *y* placed at opposite corners of a rectangle, find the minimal euclidean distance between another poin...

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Project Euler: Problem 9, Pythagorean numbers
A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

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