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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

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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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Spot the outlier
All points except for one lie on a line. Which one is the outlier? Example: You are given a list of x-y pairs in a column ...

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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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Vector of numbers divisible by 3
* Input(n) - any integer * Output(v) - vector with numbers divisible by 3(exept 0) starting from n to 0 Examples: * n=6...

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Reverse the elements of an array
Reverse the order of elements in an array: eg: input X = [ 1 2 3 ; 4 5 6 ; 7 8 9 ] o...

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Area of rhombus
Calculate the rhombus area

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Distance walked 2D
Suppose you go from x-y coordinates [3,4] to [0,0] to [0,1] to [1,1], then you walked 7 units of distance.

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Colon operator of two vectors
You are given two vectors of equal length: VecStart, VecEnd Each vector contain a set of integers, where VecEnd(j)>=VecStar...

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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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Factorial !
Calculate the factorial of a non-negative integer without using the built in function *factorial*

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Find out sum of prime number till given number
Find out sum of prime number till given number Example, if number is 10, then answer must be 17.

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05 - Vector Equations 1
Define the vector _cVec_: <<http://samle.dk/STTBDP/Assignment1_2c.png>> (all the numbers from 5 to -5 in increments of -0....

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Power of n ?
Determine if _x_ (positive integer) is a power of _n_, return true or false accordingly.

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Recurring Cycle Length (Inspired by Project Euler Problem 26)
Preface: This problem is inspired by <http://projecteuler.net/problem=26 Project Euler Problem 26> and uses text from that quest...

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Fermat's Last Theorem - Fermat's conjecture
Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a...

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Lychrel Number Test (Inspired by Project Euler Problem 55)
The task for this problem is to create a function that takes a number _n_ and tests if it might be a Lychrel number. This is, re...

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Largest Twin Primes
<http://en.wikipedia.org/wiki/Twin_prime Twin primes> are primes p1, p2 = p1 + 2 such that both p1 and p2 are prime numbers. Giv...

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Sophie Germain prime
In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

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Make an awesome ramp for a tiny motorcycle stuntman
Okay, given a vector, say v=[1 3 6 9 11], turn it into a matrix 'ramp' like so: m=[1 3 6 9 11; 3 6 9 11 0; 6 9 ...

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Mersenne Primes
A Mersenne prime is a prime number of the form M = 2^p - 1, where p is another prime number. For example, 31 is a Mersenne prim...

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Numbers with prime factors 2, 3 and 5.
Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

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Happy 2013...
Happy 2013, everyone! An interesting tidbit about 2013 is that it is the first year since 1987 to contain four different digits...

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Vector parallel to plane?
Given the coefficients of the equation which defines a plane as follows: ax+by+cz=d, return a boolean indicating whether the 2n...

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rectangle in circle
In the figure below, the rectangle at the corner measures a cm x b cm. What is the radius of the circle in cm? <<http://www....

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Wayfinding 2 - traversing
This is the second part of a series of assignments about wayfinding. The final goal is to be able to calculate the fastest route...

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Wayfinding 1 - crossing
This is the first part of a series of assignments about wayfinding. The final goal is to be able to calculate the fastest route ...

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distance to a straight line (2D) given any 2 distinct points on this straight line
Given 2 points P1,P2 on a straight line and a 3rd point, determine the distance of the 3rd point to the straight line. Your answ...

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