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Number of digits in an integer
Specifies how many digits in a given integer. Example: in=100 ==> out=3

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Return the middle element of an NxN square matrix where N is odd
Let's say you are given an NxN square matrix where N is always going to be an odd number: x = [ 1 2 3 4 5 6 7 8 ...

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Relative ratio of "1" in binary number
Input(n) is positive integer number Output(r) is (number of "1" in binary input) / (number of bits). Example: * n=0; r=...

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The Piggy Bank Problem
Given a cylindrical piggy bank with radius g and height y, return the bank's volume. [ g is first input argument.] Bonus though...

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Remove the polynomials that have positive real elements of their roots.
The characteristic equation for a dynamic system is a polynomial whose roots indicate its behavior. If any of the roots of the p...

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Implement simple rotation cypher
If given a letter from the set: [abc...xyz] and a shift, implement a shift cypher. Example: 'abc' with a shi...

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Remove the small words from a list of words.
Your job is to tidy up a list of words that appear in a string. The words are separated by one or more spaces. Remove all words ...

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Mandelbrot Numbers
The <http://en.wikipedia.org/wiki/Mandelbrot_set Mandelbrot Set> is built around a simple iterative equation. z(1) = c z...

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It dseon't mettar waht oedrr the lrettes in a wrod are.
An internet meme from 2003 (read more here) asserted that readers are relatively insensitive to letter order in words, so long a...

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Implement a ROT13 cipher
Replace each character in string s1 with the character that is shifted 13 positions from it (wrap back to the beginning if neces...

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Create a cell array out of a struct
Create a cell array out of a (single) struct with the fieldname in the first column and the value in the second column: in: ...

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Too mean-spirited
Find the mean of each consecutive pair of numbers in the input row vector. For example, x=[1 2 3] ----> y = [1.5 2.5] x=[1...

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Ratio between sum of primes and sum of factors
Write a function that calculates the ratio between the sum of primes numbers lower or equal to x, and the sum of the factors of ...

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Primes Checker
Given variable inputs Check if they are prime numbers

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Find the nearest prime
Given a positive integer 'n', the task is to find a prime number greater than or equal to 'n'. Example 1 If given 'n' is ...

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Leonardo primes
Leonardo numbers are defined by following recurrence relation: Leonard prime is Leonardo number which is also prime (see ...

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Compute Khinchin's constant
Khinchin's constant K_0 = 2.684542001... (also written "Khintchine's constant") has the amazing property that it is the limiting...

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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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Find the number of primes less than input
Given an integer n, determine the number of primes less than or equal to n.

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Find all prime factors of the input
Given an input x, find its all prime factors. Return the vector with all factors in ascending order. Efficiency is the key here...

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The Goldbach Conjecture, Part 2
The <http://en.wikipedia.org/wiki/Goldbach's_conjecture Goldbach conjecture> asserts that every even integer greater than 2 can ...

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Pattern matching
Given a matrix, m-by-n, find all the rows that have the same "increase, decrease, or stay same" pattern going across the columns...

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Reverse Run-Length Encoder
Given a "counting sequence" vector x, construct the original sequence y. A counting sequence is formed by "counting" the entrie...

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Summing Digits within Text
Given a string with text and digits, add all the numbers together. Examples: Input str = '4 and 20 blackbirds baked in a...

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Counting Money
Add the numbers given in the cell array of strings. The strings represent amounts of money using this notation: $99,999.99. E...

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Binary numbers
Given a positive, scalar integer n, create a (2^n)-by-n double-precision matrix containing the binary numbers from 0 through 2^n...

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remove every row&col for every nan
for a given matrix, remove the row and column of every nan. Example x=[1 2 NaN 4 5 6 7 8 ...

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Find the Arc Length of the Curve Defined by the Parametric Functions

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Einsteinium-253 decay
Radioactive Einsteinium-253 has a half-life of 1,768,608 seconds. Given 1000mg of Einsteinium-253 at t=0 days, how much is lef...

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Find the centre of an arc and its radius
Given two points on an arc (x0,y0) and (x1,y1) and the angle between them, alpha. Return the centre of the circle and the radiu...

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