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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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Wrapping the Tower of Pisa
The famous artist Christo Vladimirov Javacheff, who likes pizza, wants to wrap the well-known Italian tower in paper. It is a ci...

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Sum of first n terms of a harmonic progression
Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....

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02 - Vector Variables 3
Make the following variable: <<http://samle.dk/STTBDP/Assignment1_2c.png>> (all the numbers from 5 to -5 in increments of ...

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collision
several cars (n) were involved in this collision, the input matrix (vm) has n rows and two columns, first column for velocity an...

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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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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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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for: A = [ 1 5 8 ] then B = [ 1 1 5 ...

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Given area find sides
In a right angle triangle given area 'A' one arm=x, another arm=2x then find the value of x. For example, area A=400 then ...

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Volume and area of a sphere
Input(r) - radius Output([v,s]) - volume and area

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02 - Vector Variables 4
Make the following variable: <<http://samle.dk/STTBDP/Assignment1_2d.png>> (Logarithmically spaced numbers between 1 and 1...

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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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02 - Vector Variables 5
_eVec_ = _Hello_ ( _eVec_ is a string, which is a vector of characters )

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MATCH THE STRINGS (2 CHAR) very easy
Match the given string based on first two characters on each string. For example A='harsa'; b='harish'; result '1' ...

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Volume of this donut
Given hole diameter a, and outermost diameter b, determine the volume y of the resulting donut.

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System of equations
Find a solution to a system of equations represented by a |n| by |n+1| matrix. For instance, [ 2 0 4; => 2*x = 4 ...

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matrix of natural number
Given a number n, create an n-by-n matrix in which the integers from 1 to n^2 resides seially as shown in the examples below. ...

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Basic arrays operations.
Apply element-by-element binary operation 'fun' to two arrays (A and B).

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Who has power to do everything in this world?
There is only one person who is older than this universe. He is Indian version of Chuck Norris.

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03 - Matrix Variables 3
Make the following variable: <<http://samle.dk/STTBDP/Assignment1_3c.png>> A 10x10 matrix where the numbers from 1 to 100 ...

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Find the index of the largest value in any vector X=[4,3,4,5,9,12,0,4.....5]
The given function returns the index of the maximum value in a given matrix. such as X=[4,3,4,5,9,12,0,5] Ans= 6 if maxim...

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Find the "ordinary" or Euclidean distance between A and Z
A, B and Z define three points in the 3D _Euclidean_ space of the form: A = [x1;y1;0]; B = [x2;y2;0]; Z = [x2;y2;z]; Find th...

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02 - Vector Variables 2
Make the following variable: <<http://samle.dk/STTBDP/Assignment1_2b.png>>

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Find the nearest integer
Given a vector of integers and a real number find the closest integer. EX: >> a = [2 4 5 6 8 10]; >> b = 4.6; >> nea...

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Gauss Eliminate 2-by-2 example
Use forward elimination to make the coefficient matrix, A, an upper triangular matrix, and then solve using back substitution, f...

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Alternating sum
Given vector x, calculate the alternating sum y = x(1) - x(2) + x(3) - x(4) + ...

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peta to nano (x-ray)
for certain x-ray radiation, given frequency in petahertz, give wavelength in nanometer, must be accurate +/- 25%

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Circumscribed circles
Given the lengths of the 3 sides of a triangle, output the radius of the circumscribed circle. Example: [3 4 5] -> 2.5

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Tricky timing
Write a function that takes between 0.5 seconds and 0.6 seconds to run.

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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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