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Digit concentration in Champernowne's constant
Consider the first 50 digits of Champernowne's constant 0.12345678910111213141516171819202122232425262728293... The...
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Is this a valid Tic Tac Toe State?
For the game of <https://en.wikipedia.org/wiki/Tic-tac-toe Tic Tac Toe> we will be storing the state of the game in a matrix M. ...
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Group-wise Euclidean distance
*Input*: * *x* —— An array of size *n-by-d*, where each row vector denotes a point in a d-dimensional space; * *g* —— A gro...
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Acid and water
⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ Assume that there is a 100 liter tank. It is initially fi...
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An asteroid and a spacecraft
🚀 Imagine a non-relativistic simple situation. Assume positions p0, p1, p2, and p3 are three dimensional Cartesian ...
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5th Time's a Charm
Write a function that will return the input value. However, your function must fail the first four times, only functioning prope...
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Sums of Distinct Powers
You will be given three numbers: base, nstart, and nend. Write a MATLAB script that will compute the sum of a sequence of both ...
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Inscribed Pentagon? 2
Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...
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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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Calculate time taken by light to reach earth surface
We know the time(seconds) taken by light to reach surface of earth. What if the distance varies yearly or source of light moves ...
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Leap Year
According to Gregorian Calender(which is in use now, in many countries),decide whether a given year is a leap year or not. Give...
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The Generalized N-Jug Water Pouring Problem ( Hard )
Description: You are given N water jugs with maximum capacities specified in a vector C = [ c1, c2, c3,.., c_n]. Initially, all...
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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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List the households affected by leaks in water distribution
Consider the following water distribution network, where water is pumped uni-directionally from left to right: 8...
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Calculate Engine Power
Calculate Engine Power (P) in kW given the values of Torque(M) in Nm and Engine Speed(n) in rpm
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Two Jugs: Minimum Steps ( Medium )
Following the first problem, now you need to find the shortest path. Given two jugs with capacities A and B, find the minimum nu...
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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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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...
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How Far Can You Throw Something?
As you probably learned in your high school physics class, throwing an object at a 45 degree angle will give you the maximum ran...
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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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The End of the World
given a date -- represent it in the Maya long count system. <https://en.wikipedia.org/wiki/Maya_calendar> <https://maya.nm...
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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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The glass half full
Identical glasses are placed in a triangular tower structure, such that the top level (L = 1) comprises one glass, the next leve...
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Trace the path of a harmful chemical in an ecological network
An ecological network consists of the cycles of nature, such as the water cycle, the carbon cycle, the oxygen cycle, etc. Due to...
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Find the fastest reaction chain to reach a target compound
This problem is related to Problem <45470>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...
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Compute the missing quantity among P, V, T for an ideal gas
Consider 100 mol of helium gas at a certain pressure (P), volume (V), and temperature (T). Assuming that the ideal gas law appli...
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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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Locate image wells
A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also u...
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SatCom #4: Satellite Orbit Altitude
Satellite and Space Engineering - Problem #4 This is part of a series of problems looking at topics in satellite and space comm...
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