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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?

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Sum of series III

What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

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Sum of series II

What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

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Sum of series I

What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

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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)

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Converting binary to decimals

Convert binary to decimals. Example: 010111 = 23. 110000 = 48.

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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...

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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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Bit Reversal

Given an unsigned integer _x_, convert it to binary with _n_ bits, reverse the order of the bits, and convert it back to an inte...

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Given an unsigned integer x, find the largest y by rearranging the bits in x

Given an unsigned integer x, find the largest y by rearranging the bits in x. Example: Input x = 10 Output y is 12 ...

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Find out sum and carry of Binary adder

Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. Examples Previo...

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Convert given decimal number to binary number.

Convert given decimal number to binary number. Example x=10, then answer must be 1010.

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Find the longest sequence of 1's in a binary sequence.

Given a string such as s = '011110010000000100010111' find the length of the longest string of consecutive 1's. In this examp...

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Counting in Finnish

Sort a vector of single digit whole numbers alphabetically by their name, in Finnish. See the Wikipedia page for <http://en.wik...

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Connect Four Win Checker

<http://en.wikipedia.org/wiki/Connect_Four Connect Four> is a game where you try to get four pieces in a row. For this problem, ...

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Generate a vector like 1,2,2,3,3,3,4,4,4,4

Generate a vector like 1,2,2,3,3,3,4,4,4,4 So if n = 3, then return [1 2 2 3 3 3] And if n = 5, then return [1 2 2 3 3 3 4...

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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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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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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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Longest Divisor Run

Given the vector a, find the longest run of consecutive numbers that can be evenly divided by the same number d where d > 1. ...

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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 ...

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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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Property dispute!

Two neighbors have rectangular plots of land A and B. The surveyors give you the coordinates of each. If they overlap, there is ...

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Minimum Distance Point to Segment

This Challenge is to determine the minimum distance from a 2-D line segment defined by two points to a point. The point is (p...

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Make a logical diamond using GALLERY function

Inspired from <http://www.mathworks.com/matlabcentral/cody/problems/1078-make-a-diamond Problem 1078. Make a diamond> In thi...

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