Fibonacci-Sum of Squares
Given the Fibonacci sequence defined by the following recursive relation,
* F(n) = F(n-1) + F(n-2)
* where F(1) = 1 and F(1)...
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Fibonacci sequence
Calculate the nth Fibonacci number.
Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...
Examples:
Inpu...
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Rescale Scores
Each column (except last) of matrix |X| contains students' scores in a course assignment or a test. The last column has a weight...
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Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....
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Crop an Image
A grayscale image is represented as a matrix in MATLAB. Each matrix element represents a pixel in the image. An element value re...
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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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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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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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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.
<<https://imgur...
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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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Area of an equilateral triangle
Calculate the area of an equilateral triangle of side x.
<<https://i.imgur.com/jlZDHhq.png>>
Image courtesy of <http://up...
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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?
<<https://i.imgur.com/jlZDHhq.png>>
...
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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?
<<https://imgur.com/x6hT6mm.png>>
...
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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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Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1.
Hint: use increment.
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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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Create a vector
Create a vector from 0 to n by intervals of 2.
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Flip the vector from right to left
Flip the vector from right to left.
Examples
x=[1:5], then y=[5 4 3 2 1]
x=[1 4 6], then y=[6 4 1];
Request not ...
Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x.
For instance if x=2 then y must be 1+2+3+4=10.