Christopher Santos
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Calculate a Damped Sinusoid
The equation of a damped sinusoid can be written as |y = A.ⅇ^(-λt)*cos(2πft)| where |A|, |λ|, and |f| ...
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Solve a System of Linear Equations
Example: If a system of linear equations in x₁ and x₂ is: 2x₁ + x₂ = 2 x₁ - 4 x₂ = 3 Then the coefficient matrix (A) is: 2 ...
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Times 2 - START HERE
Try out this test problem first. Given the variable x as your input, multiply it by two and put the result in y. Examples:...
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Weighted average
Given two lists of numbers, determine the weighted average as follows Example [1 2 3] and [10 15 20] should result in 33.3...
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Summation of array
Given an array, Find the sum of all of the elements in it Examples: Input x = [1 2 3 5; 4 5 6 7]; Output y is 33
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Find the dimensions of a matrix
Just find the number of columns of the given matrix. Example x = [1 2 3 4 5 6] y = 2
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Create a vector whose elements depend on the previous element
The idea is to create a vector A whose elements depend on the previous element : *A(i+1) = 2*A(i)+1* *2 Inputs*: - A : The...
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Create times-tables
At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...
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Find out missing number from a vector of 9 elements
You are given a vector of size 9, x = [x1 x2 x3 x4 x5 x6 x7 x8 x9] Elements of x may be randomly selected without repeati...
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Area of a Square
Inside a square is a circle with radius r. What is the area of the square?
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Create a Matrix of Zeros
Given an input x, create a square matrix y of zeros with x rows and x columns.
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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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Count up then down
Create a function that produces counting up from 0 up to n then down to 0 n=2 --> 0 1 2 1 0 n=3 --> ...
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Return the 3n+1 sequence for n
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...
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Counting Sequence
Given a vector x, find the "counting sequence" y. A counting sequence is formed by "counting" the entries in a given sequence...
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Find the hypotenuse
Given a and b (the two sides of a right-triangle), find c, the hypotenuse.
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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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radius of a spherical planet
You just measured its surface area, that is the input.
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Return the largest number that is adjacent to a zero
This example comes from Steve Eddins' blog: <http://blogs.mathworks.com/steve/2009/05/27/learning-lessons-from-a-one-liner/ Lear...
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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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Find the Oldest Person in a Room
Given two input vectors: * |name| - user last names * |age| - corresponding age of the person Return the name of the ol...
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Convert from Fahrenheit to Celsius
Given an input vector |F| containing temperature values in Fahrenheit, return an output vector |C| that contains the values in C...
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Calculate Amount of Cake Frosting
Given two input variables |r| and |h|, which stand for the radius and height of a cake, calculate the surface area of the cake y...
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Help solving system of differential eqns: Invalid indexing error.
Hello, I'm trying to solve a system of differential equations. This code works for a more simplified set of equations but I'm h...
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Solve the Sudoku Row
*Description* A simple yet tedious task occurs near the end of most Sudoku-solving algorithms, computerized or manual. The ta...
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The Answer to Life, the Universe, and Everything
A variation of a previous Hitchhiker's Guide to the Galaxy problem. *Inputs:* Life, the Universe, and Everything *Output:*...
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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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"mirror" matrix
Create n x 2n "mirror" matrix of this type: Examples For n = 2 m = [ 1 2 2 1 1 2 2 1 ] For n = 3 m = ...
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