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Force and Motion 2

Two robots are pulling on an object in opposite directions. One robot pulls with a force of F1 Newtons and the other with a forc...

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Triangle Coordinates

Given a natural number n, return two -element vectors, x and y, containing the coordinates of a triangular arrangement of points...

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Angle Between Analog Clock Hands

Given a datetime variable t, return the angle (in degrees) between the hour and minute hands of an analog clock at the time repr...

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Extract the Acrostic Message

An acrostic cipher is a way of embedding one message within another by taking the first (or last) word of each line. Given a str...

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Boustrophedon

Given a vector v and a positive integer n, return an m-by-n matrix containing the elements of v row-wise, alternating left-to-ri...

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Create block matrix of integers (j+k-1) - Part II

Given m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column o...

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Create block matrix of integers (j+k-1) - Part I

Given m, n, p, and q, create a matrix of m-by-n blocks (submatrices), each sized p-by-q. The elements of the (j,k)th block all h...

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Dartboard Average II

A dartboard arranges the numbers 1 to 20 such that each value is typically flanked by quite different values - for example, 20 i...

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Dartboard Average I

A dartboard arranges the numbers 1 to 20 such that each value is typically flanked by quite different values - for example, 20 i...

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Possible Rugby Scores

Given a natural number s (> 4), representing a rugby team's score, return an n-by-3 matrix representing all n possible combinati...

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Split Even Number Into Two Primes

Given an even whole number n (> 2), return a 2-element vector of primes, p, such that p(1) + p(2) = n. Fun note: technically it...

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Determine if Input is Oddish or Evenish (Odd/Even Sum of Digits)

Given a positive integer n, determine whether n is "oddish" or "evenish" - that is, whether the sum of the digits of n is odd or...

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Estimating Euler's (Oi-ler-z) Number

Euler's number is an irrational constant given by Starting with x=0, count the number of times you can add a uniformly distrib...

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Next Tribonacci Number

The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Generate Tribonacci Sequence

The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Generate Pascal's Triangle Matrix

Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row: ...

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Interpolated Value Between Two Points

Given two points, and , a new location x, and a method "linear" or "cubic", return the value of a linear or cubic interpolant t...

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A Binary Search

One way to locate a target value in a sorted array, is to use a binary search algorithm. Here, you test if the midpoint in the a...

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Where the Four Corners Am I? (Vectorized)

NOTE: this problem is intended to build on problem #55960 ("Where the Four Corners Am I?"). You may wish to solve that problem f...

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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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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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