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Mersenne Primes
A Mersenne prime is a prime number of the form M = 2^p - 1, where p is another prime number. For example, 31 is a Mersenne prim...

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Balanced number
Given a positive integer find whether it is a balanced number. For a balanced number the sum of first half of digits is equal to...

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find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..

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Bell Triangle
Form the bell triangle upto nth bell number posotion; * if n=5 * y= [1 0 0 0 0; 1 2 0 0...

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Frugal number
check whether n is a frugal number * a frugal number is a natural number in a given number base that has more digits than the...

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Pell numbers
Find the nth pell number <https://en.wikipedia.org/wiki/Pell_number>

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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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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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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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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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Be happy
check whether the given number is happy in b-base. * A happy number can be defined as a number which will yield 1 when it is ...

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check whether a number is a pentatope number
<https://oeis.org/A000332>

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Create initial basic feasible solution for transportation problems - North-West Corner Method

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Make a Plot with Functions
Make a plot and test

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There are 10 types of people in the world
Those who know binary, and those who don't. The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...

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Encode Roman Numerals
Create a function taking a non-negative integer as its parameter and returning a string containing the Roman Numeral representat...

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Interpolator
You have a two vectors, a and b. They are monotonic and the same length. Given a value, va, where va is between a(1) and a(end),...

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Throwing Dice - Will You Be Eaten By The Dragon?
You and a dragon have agreed to let dice rolls determine whether it eats you or not. The dragon will roll a single die, of x si...

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It dseon't mettar waht oedrr the lrettes in a wrod are.
An internet meme from 2003 (read more here) asserted that readers are relatively insensitive to letter order in words, so long a...

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radius of a spherical planet
You just measured its surface area, that is the input.

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Billiards
Considering there are 15 pool balls, (b), in the game of pool, and given a radius, (r). What is the volume, (V), of a rack in th...

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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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Chess probability
The difference in the ratings between two players serves as a predictor of the outcome of a match (the <http://en.wikipedia.org/...

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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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