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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 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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Lightning strike distance: Writing a function
Write a function named LightningDistance that outputs "distance" given input "seconds". Seconds is the time from seeing lightnin...

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Parasitic numbers
Test whether the first input x is an n-parasitic number: <http://en.wikipedia.org/wiki/Parasitic_number>. ( _n_ is the second in...

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Change the sign of even index entries of the reversed vector
change the signs of the even index entries of the reversed vector example 1 vec = [4 -1 -2 9] ans = [9 2 -1 -4] example2...

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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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Divisors of an integer
Given a number N, return a vector V of all integers that divide N. For example, N = 10 Then V=[1 2 5 10]

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07 - Common functions and indexing 1
Define _cMat_: <<http://samle.dk/STTBDP/Assignment1_3c.png>> ( _cMat_ = 10x10 matrix where the numbers from 1 to 100 runs ...

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Find Index of maximum Value and maximum Value of a vector
Find the Index of the first occurrence of the maximum value in a vector and also the maximum value in the vector. Example: [...

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create a circulant matrix
create a circulant matrix

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Penny flipping - calculate winning probability (easy)
Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/...

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frame of the matrix
Given the matrix M, return M without the external frame.

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Create an index-powered vector
Given a input vector x, return y as index-powered vector as shown below. Example x = [2 3 6 9] then y should be [...

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Create an 'arrow-head" matrix
Write a function that when given an odd number, produces an arrow-head function pointing to the right. Examples n = 3 ...

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Calculate the area of a triangle between three points
Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vert...

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What is the distance from point P(x,y) to the line Ax + By + C = 0?
Given a point, P(x,y), find the distance from this point to a linear line. INPUTS: x, y, A, B, C OUTPUTS: d, the distance ...

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Set defaults
Write a function that computes the volume of a cube. The function should be able to accept three inputs: the length, width, and...

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Circle area using pi
Given a circle's radius, compute the circle's area. Use the built-in mathematical constant pi.

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Return 'on' or 'off'
When the input is true, return 'on', otherwise, return 'off'.

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Min of a Matrix
Return the minimum value in the given matrix.

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03 - Matrix Variables 1
Make the following variable: <<http://samle.dk/STTBDP/Assignment1_3a.png>> A 9x9 matrix full of 2's (Hint: use *ones* o...

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

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Subtract two positive numbers
Given a and b as a string, return b-a without using string to number conversion functions. a and b must to be a same size and b ...

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Switch matrix to a column vector
for e.g. x = [1 2 3 4] y = 1 3 2 4

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What percentage?
Calculate the output c as the percentage of a on b for given a and b.

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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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Set some matrix elements to zero
First get the maximum of each *row*, and afterwards set all the other elements to zero. For example, this matrix: 1 2 3 ...

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Sunday bonus
Submit a solution on any Sunday and you will get 10 points. Only for MATLAB fans!

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07 - Common functions and indexing 2
Define _eMat_: <<http://samle.dk/STTBDP/Assignment1_3e.png>> Calculate eMean as the mean across the rows of _eMat_. The an...

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calculate linear convolution two vectors
for e.g in: a = [1 2 3] b = [4 5 6] out: y = [4 13 28 27 18]

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