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05 - Vector Equations 3
Define the vector _dVec_: <<http://samle.dk/STTBDP/Assignment1_2d.png>> (Logarithmically spaced numbers between 1 and 10) ...

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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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07 - Common functions and indexing 3
Define _eMat_: <<http://samle.dk/STTBDP/Assignment1_3e.png>> Create the variable _eMat2_, which is equal to _eMat_ with th...

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Box!
Given a box, find the volume of the cube. With each side = a.

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Check that number is whole number
Check that number is whole number Say x=15, then answer is 1. x=15.2 , then answer is 0. <http://en.wikipedia.org/wiki/Whole...

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Reverse the vector
Reverse the vector elements. Example: Input x = [1,2,3,4,5,6,7,8,9] Output y = [9,8,7,6,5,4,3,2,1]

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Check if sorted
Check if sorted. Example: Input x = [1 2 0] Output y is 0

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Counting down
Create a vector that counts from 450 to 200 in increments of 10.

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04 - Scalar Equations 1
Define the variable a: <<http://samle.dk/STTBDP/Assignment1_4-a.png>> Use this to calculate x: <<http://samle.dk/STTBD...

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Matlab Basics - y as a function of x
Write a function to calculate y as a function of x, such that y = 6x^2 + 5x - 2

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Bottles of beer
Given an input number representing the number of bottles of beer on the wall, output how many are left if you take one down and ...

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find radius of cone
if Slant height of Cone(I)& hight of Cone(H) given then find radius of the Cone(R) for example I=5,h=4 then the ans R=3;

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Returning a "greater than" vector
Given a vector, v, return a new vector , vNew, containing only values > n. For example: v=[1 2 3 4 5 6] n=3 vNew =...

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Arrange vector in ascending order
Arrange a given vector in ascending order. input = [4 5 1 2 9]; output = [1 2 4 5 9];

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06 - Matrix Equations 3
Define the matrices _aMat_, _bMat_, and _cMat_: <<http://samle.dk/STTBDP/Assignment1_3a.png>> ( _aMat_ = 9x9 matrix full o...

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Permute diagonal and antidiagonal
Permute diagonal and antidiagonal For example [1 2 3;4 5 6;7 8 9] -> [3 2 1;4 5 6;9 8 7] WITHOUT diag function (and variable n...

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N-Cards Problem
You have a deck of _N_ cards numbered in order from 1 to _N_. You discard the top card (card 1) and place the next card (card 2)...

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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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Weighted average
Given two lists of numbers, determine the weighted average. Example [1 2 3] and [10 15 20] should result in 33.333...

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Triangle sequence
A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

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Is this triangle right-angled?
Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

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Find a Pythagorean triple
Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

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Is this triangle right-angled?
Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

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Area of an Isoceles Triangle
An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<http://upload...

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Dimensions of a rectangle
The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

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Side of a rhombus
If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<http://upload.wikimedia.org/wikipe...

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Side of an equilateral triangle
If an equilateral triangle has area A, then what is the length of each of its sides, x? <<http://upload.wikimedia.org/wikipe...

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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x. <<http://upload.wikimedia.org/wikipedia/commons/e/e0/Equilateral-tr...

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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<http://upload....

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Length of a short side
Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

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