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Compute the Sisyphus sequence
A recent article in the New York Times featured the Online Encyclopedia of Integer Sequences, founded by Neil J.A. Sloane. One o...

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Find the altitudes of a triangle
Write a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the coord...

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Classify water surface profiles
Problem statement Write a function to classify the water surface profile starting at depth in a channel with longitudinal slop...

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Continuous NaNs - I
Remove any continuous NaNs that appear in the array - %Example 1 input = [1 NaN 2 NaN NaN 3 NaN NaN NaN] output = [1 NaN 2 ...

10 mois il y a

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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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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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Easy Sequences 112: Almost Golden Integer Rectangles 1
A golden rectangle is a rectangle whose side lengths are in the golden ratio, , where: . ...

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Sign of IEEE Single
Output the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 "1" or the uint8 "0".

11 mois il y a

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Draw '5' in Chinese.
Draw a x-by-x matrix '五' using 1s and 0s. Example: x=5 ans= [1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1] x=7...

11 mois il y a

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Create an empty array
Suppose you need an empty array. e = [] will give you one, but it's a double array, which may not help if you need a differen...

11 mois il y a

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Integrate a product of gamma functions
Write a function to compute the following integral: where and is the gamma function, the subject of Cody Problem 46025.

11 mois il y a

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Determine whether a number is prome
In discussing the unique factorization of numbers in Elementary Number Theory, Underwood Dudley devised a new number system: “C...

11 mois il y a

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Remove runs of at least n consecutive NaNs
This problem is inspired by Dyuman Joshi's problem 58329. Given a row vector x and a natural number n, remove all runs of at lea...

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List numbers that cannot be expressed as the sum of fewer than four squares
Lagrange proved that all positive integers can be expressed as the sum of four squares. For example, 27 = 16 + 9 + 1 + 1. Howeve...

11 mois il y a

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Find the circle inscribed in a triangle
Write a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the cente...

11 mois il y a

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Sequence Vectorization - I
Given a Natural number N, return the sequence - [1 1 2 1 2 3 1 2 3 4 ... 1 2 3 ... N-3 N-2 N-1 N] i.e. the horizontal concatenat...

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List numbers such that every sum of consecutive positive integers ending in those numbers is composite
The sequence in question in this problem involves numbers such that all sums of consecutive positive integers ending with are ...

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List the two-bit primes
Each year at Christmas, my father-in-law and his partner send me the Puzzle Mania section from the New York Times. This year’s e...

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Inscribe a circle in a triangle with a side of length equal to the circle’s circumference
A circle of radius is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of ...

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Easy Sequences 94: GCD Sums
Given positive integer , write the function gSum(x), that sums all the GCD's of the integer pairs . For example in the Excel scr...

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The Yellowstone Permutation
The Yellowstone Permutation is a sequence of positive integers, defined by the following rules: No term is repeated. Given n t...

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Solve an equation involving primes and fractions
Write a function to find pairs of primes and satisfying the equation where is an integer. The function should take a numbe...

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Compute frequency factors for the normal distribution
In frequency analysis in hydrology, the streamflow corresponding to a specified exceedance probability (or return period ) can...

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Determine flows of given probability using empirical frequency analysis
Write a function that takes as input observations of peak streamflow and exceedance probabilities expressed as percentages an...

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Find patterns in subprime Fibonacci sequences
Lots of Cody problems involve Fibonacci and Collatz sequences. Fibonacci sequences start with two numbers, and later terms are c...

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Is this triangle right-angled (mixed sides)?
Implement function returning if triangle is right angled or not? Input argument is vector row with not ordered triangle sides. ...

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Hermite Polynomials
Problem 1304 deals with Hermite polynomial of the physicist's type. In this problem, Return the n-th Hermite polynomial of the ...

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About jokes (and compression)
An argument can be made about jokes. The shorter they are, the funnier. Further explained here: https://en.wikipedia.org/wiki/Hu...

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Counting Permutations
In the permutations of the numbers 1 to n, count the number of permutations in which exactly m elements are greater than the pre...

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