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Calculate the volume of the intersection of two balls
Consider two balls (solid spheres) in , with radius and respectively. Suppose that the distance between the centers of the two...

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Compute the critical depth of a channel
Problem statement Write a function to compute the critical depth of a channel with discharge . The unit system will be specifie...

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Compute the normal depth of a channel
For steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In th...

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Compute flow in a partially full pipe
Problem statement When does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing f...

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Find state names that start with the letter N
Given a list of US states, remove all the states that start with the letter N. If s1 = 'Alabama Montana Nebraska Vermont Ne...

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Compute the area of the shoemaker’s knife
A shape resembling a shoemaker’s knife is constructed from a semicircle with diameter with two semicircular “bites” of diameter...

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Compute the average precipitation for a watershed using the Thiessen polygon method
Several methods are available for estimating the average precipitation for a watershed from a few observations at rain gauges. T...

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Given a matrix, swap the 2nd & 3rd columns
If a = [1 2 3 4; 1 2 3 4; 1 2 3 4; 1 2 3 4]; then the result is ans = 1 3 2 4 1 3 2...

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matrix zigzag
Unfold a 2-D matrix to a 1-D array in zig-zag order, e.g., for matrix [ 1 2 3 ; 4 5 6 ; 7 8 9 ] the resulting 1-...

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P-smooth numbers
This Challenge is to find <https://en.wikipedia.org/wiki/Smooth_number P-smooth number> partial sets given P and a max series va...

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Fermat's Last Theorem - Fermat's conjecture
Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a...

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Happy 2013...
Happy 2013, everyone! An interesting tidbit about 2013 is that it is the first year since 1987 to contain four different digits...

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Numbers with prime factors 2, 3 and 5.
Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

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First N Perfect Squares
*Description* Return the first N perfect squares *Example* input = 4; output = [ 1 4 9 16 ];

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List numbers that are not in the Fibonacci sequence
In the list of 4797 Cody problems, 53 deal with or refer to the Fibonacci sequence.* What about the other numbers? Write a funct...

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Must be in the front row...
You are given a matrix followed by a single number. Your object is to write a script that will shift the matrix around so that ...

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Breaking Out of the Matrix
Do you want to take the Red Pill, or the Blue Pill? If you take the Blue Pill, you will simply pass along to the next problem...

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With apologies to William Blake
Coder Coder, typing fast Sitting at your desk, aghast. What immortal MATLAB script will solve this problem, nice and qu...

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Consecutive Equation Times (of the day)
Many times throughout the day can represent mathematical equations. In this problem, we focus on the largest consecutive run of ...

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Equation Times (of the day)
Many times throughout the day can represent mathematical equations. In this problem, we focus on times that include the four bas...

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Power Times (of the day)
Many times throughout the day can represent mathematical equations. In this problem, we focus on times that represent powers. Fo...

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Convert to Binary Coded Decimal
Convert from decimal representation to <http://en.wikipedia.org/wiki/Binary-coded_decimal Binary Code Decimal> (or BCD) represen...

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Find out the Gray Code for a Given Binary Number
Find out <http://en.wikipedia.org/wiki/Gray_code Gray Code> for a given binary number Example Binary input 1000 Gray ...

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Big numbers, least significant digits
Given two numbers, x and n, return the last d digits of the number that is calculated by x^n. In all cases, d will be the number...

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Digital Neighbourhood
Given a natural number reorder its digits to create another number, closest to the given one. Examples: * 123 gives 132, ...

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Binary Neighbourhood
Given a natural number reorder its binary form to create another number, closest to the given one. Examples: * 1 gives 2, ...

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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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Evened up (or not)
You will be provided with an array or matrix that contains various numbers, in addition to an evening variable, e, set to 1 or 0...

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De-primed
Write a function that will multiply every prime number in the array or matrix by two, leaving all other numbers the same, and re...

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Big numbers, repeated least significant digits
This problem builds off of Problem 3077 Given an integer x which contains d digits, find the value of (minimum) n (n > 1) such ...

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