Sieve of Eratosthenes - 02
"Sift the Two's and Sift the Three's,
The Sieve of Eratosthenes.
When the multiples sublime,
The numbers that remain a...
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Travelling Salesman Problem (TSP)
Find a short way through given points. This is the travelling salesman problem. But the solution should be a fast and small func...
Create a figure and plot data
Given two data vectors (x,y), open a new figure and plot the data. Return the figure handle.
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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 weighted...
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Calculate Inner Product
Given two input matrices, x and y, check if their inner dimensions match.
If they match, create an output variable z which cont...
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Find MPG of Lightest Cars
The file cars.mat contains a table named cars with variables Model, MPG, Horsepower, Weight, and Acceleration for several classi...
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Find the Best Hotels
Given three input variables:
hotels - a list of hotel names
ratings - their ratings in a city
cutoff - the rating at which yo...
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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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Calculate BMI
Given a matrix hw (height and weight) with two columns, calculate BMI using these formulas:
1 kilogram = 2.2 pounds
1 inch = 2...
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Plot Damped Sinusoid
Given two vectors |t| and |y|, make a plot containing a blue ( |b| ) dashed ( |--| ) line of |y| versus |t|.
Mark the minimum...
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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 are scalars and t is a vector.
...
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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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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...