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Where the Four Corners Am I?
The "Four Corners" region of the US is where Colorado, Utah, Arizona, and New Mexico all meet - the only place where four states...
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Fractal: area and perimeter of Koch snowflake
Starting from an equilateral triangle with side 's', what is the area and perimeter of Koch snowflake at n'th recursive iteratio...
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Why the heck are they blinking!?!?
Merry Christmas everyone! Sadly, the lights you've had on your tree for so many years burned out, and it's time to get a new se...
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Most Frequent Word - 01
Given a document file or a character array, find out the most frequent word in that document. In the case of multiple words -...
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How many Christmas presents under the tree?
For many families at Christmas, each family member gives 1 present to every other family member. The main exception is that chil...
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The twelve days of Christmas
Traditionally there are twelve days of Christmas to celebrate ("Twelvetide"), typically starting with Christmas Day (25 December...
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Design a tubesheet for shell-and-tube heat exchangers
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How many days?!?
Christmas is coming earlier and earlier each year. Thanks to rampant commercialism and Christmas Creep, "The Twelve Days of Chr...
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You LOVES Matlab 41%
Given two strings, determine the percentage that one loves the other in the following way: YOU LOVES MATLAB there is 1 '...
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Calculate the Distance to Source of Lightning
Lightning discharge heats air rapidly with lightning channels reaching temperatures of up to 50,000 degrees Fahrenheit (which is...
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Air Mass to Star for an Observer at Mean Sea Level
Air mass is a measure of how much atmosphere light from a source above the atmosphere (eg sun, planet, star) has to travel throu...
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Snow Accumulation and Structural Risks To Residential Properties
The density of snow depends on the amount of liquid water it contains: Dry Snow is about 50 kg/m^3 Wet Snow is about 200 kg/m^...
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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...
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Calculate Wind Chill Factor
The NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures: Cal...
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Similar Triangles - find the height of the tree
Given the height, h1, of a power pole, shorter than a tree, a given distance, x2 away, please find h2, height of the tree. Pleas...
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Determine when snow started
R.P. Agnew posed the following problem: It starts snowing in the morning and continues steadily throughout the day. A snowplow t...
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Radiation Heat Transfer — View Factors (1)
View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...
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Calculate days until Christmas
Provided with inputs year, month, day e.g. 2019,11,12, calculate the number of days until the next Christmas day, i.e. the next ...
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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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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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