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Taylor Series
You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

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Calculate Angle From Axis
Given coordinates x and y, an axis ("X" or "Y"), and a direction ("cw" or "ccw", meaning clockwise and counterclockwise, respect...

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Convert Volume Mixing Ratio to Density
The partial pressure of a constituent gas species of the atmosphere can be expressed in parts per million by volume. For exampl...

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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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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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Partial Pressure of Water Vapor from Relative Humidity
Buck (1996, 1981) published the following constants for the saturation pressure of water*: 6.1121 (mb) The saturation pressur...

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Pressure for a given Above Sea Level Altitude
For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from: with where...

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Air Density from Temperature and Pressure
The density of air can be estimated from the product of molar mass and molar density: Write a function that finds the densi...

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Molar Air Density from Temperature and Pressure
The molar density of air can be found from the Temperature and Pressure using the ideal gas law. where the Molar density STP ...

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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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Predict Cricket Stridulation Rate from Air Temperature
Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs. According to the Old Farmer's Alma...

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Find Air Temperature from Cricket Stridulation Rate
Stridulation is the process that creates a cricket's “chirp” by rubbing their wings or legs. According to the Old Farmer's Alma...

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Construct a "diagAdiag" matrix
Construct a matrix whose elements begin from 1 and end at n^2 with the order of arrangement as shown below: For: n = 4 ...

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Adding Inset Plots
You can use the axes function to define the position of an empty x/y axis. The position is measured relative the the bottom left...

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Jack O'Lantern
If visualized correctly, the data contained in the matrix A will look like a jack-o'-lantern. Create a function that will visu...

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3D Plots and Colorbars
Use the matrices X, Y, and Z provided in the function template to create a surface plot. Add a colorbar to the surface plot and ...

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Plot Line Specifications
Create a line plot for function cos(x) where x is a vector of linearly spaced values going from 0 to input N with an increment o...

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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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Plotting Practice
Plot cos(x) vs x as shown in the figure below. Include the appropriate title, x-label, and y-label. Note, it is case sensitive. ...

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Create an arrow matrix
An arrow matrix is a square matrix that contains ones on the diagonal, the last column, and last row. ...

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Calculating Student Grades
The matrix grades contains raw grades for 7 students who took your course. Each row represents a different student. The first 7 ...

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Determine if x is a combination of m and n
Given positive integers x, m, and n, determine if x can be written as x = am + bn for any (non-negative) integers a and b. Your ...

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Dog Statistics
The vectors ht and wt contains the heights and weights of 20 golden retrievers. In some cases, it was not possible to make both ...

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Simpson's Paradox - Calculate correlation coefficients for groups of data
Simpson's Paradox is a statistical phenomenon where groups of data can have a characteristic while the whole data set together h...

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Find the minimum of the column-maximums of a matrix
Given a matrix A, find the maximum value of each column, then return the smallest of those maximum values (ie return the minimum...

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Calculate the mean of each half of a matrix
Given a matrix with an even number of columns, n, return a 1-by-2 row vector where the first element is the mean of all the elem...

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Find Closest Constant
Given a number x, return the value that is closest to x from this list of constants: 0, 1, , e, , (also known as ). For exampl...

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Matrix Quadrants
Write a function that takes N as the input, and outputs a matrix whose upper-left (NxN) quadrant contains all ones, the lower-ri...

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Find the nth nude number
The number 672 is a nude number because it openly displays three of its divisors: 6, 7, and 2. In other words, a nude number is ...

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Find numbers in the Popular Computing Z-sequence
Here’s a quick one. In 1977 the magazine Popular Computing sought “problem situations for which the computer is the best (if not...

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