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Pi Estimate 1
Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>
27 giorni fa
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radius of a spherical planet
You just measured its surface area, that is the input.
27 giorni fa
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Calculate area of sector
A=function(r,seta) r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...
27 giorni fa
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Pumpkin Pie!
It's time for desert at Thanksgiving. You've all gathered at grandma's house, and she's about to start cutting the pumpkin pie. ...
27 giorni fa
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Find similar sequences
Another problem inspired by a question on the <http://www.mathworks.com/matlabcentral/answers answers> forum. Given a matrix ...
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Generate Square Wave
Generate a square wave of desired length, number of complete cycles and duty cycle. Here, duty cycle is defined as the fraction ...
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Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?
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Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
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Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?
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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?
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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?
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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
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Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given number of...
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Largest Geometric Series
Extension of Ned Gulley's wonderful Problem 317. In a geometric series, ratio of adjacent elements is always a constant value. ...
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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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Longest run of consecutive numbers
Given a vector a, find the number(s) that is/are repeated consecutively most often. For example, if you have a = [1 2 2 2 1 ...
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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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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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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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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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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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An Ohm's Law Calculator
*BACKGROUND / MOTIVATION:* Many important observations in math and science can be described by short, but powerful, equations...
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Velocity Conversion
Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.
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