Mayank

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Acid and water
⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ Assume that there is a 100 liter tank. It is initially fi...

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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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Number of Even Elements in Fibonacci Sequence
Find how many even Fibonacci numbers are available in the first d numbers. Consider the following first 14 numbers 1 1 2...

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Parse me a Lisp
*Description* In Lisp and its variants, function calls are done using parenthesis where the first item in the parenthesis is ...

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Pair Primes
Let's define pair primes as follow; For 2 digits numbers: 11 and 17 are pair primes because both of them are 2 digits prime num...

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Recaman Sequence - III
I want to create a Recaman sequence where there is a "1" in the n-th position. So from which integer should I start the Recaman ...

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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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Reproduce this plot!
Write a function that will take a dataset (x,y), a best fit model (model), and the upper and lower prediction bounds (lb,ub) for...

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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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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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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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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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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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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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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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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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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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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 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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Power Outages Histogram
Create a function that takes power outage data as an input and creates a histogram of the number of outages as a function of Reg...

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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 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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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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Getting values from a vector
This exercise is for finding the values that meet your criteria. a = [-5 28 7 83 73]; b = 23 ; c = (a > b) Then : c = ...

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reverse the order and combine a matrix

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Calculate the height of an object dropped from the sky
Assume that an object is dropped from 1000 meters above the surface of the earth at time t=0. The object is dropped such that t...

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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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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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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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