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Covering a four-pointed star polygon by rectangles
Given the area, A, of a star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their...

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Convert Hard Drive marketing sizes to actual data sizes
Hard drive sizes are typically marketed using the decimal meaning of prefixes, whereas RAM uses binary meanings. For example: ...

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Sleeping Queens 1
My youngest daughter received a card game named Sleeping Queens for Christmas this year, and has been playing it nearly non-stop...

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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 twelve days of Christmas
Traditionally there are twelve days of Christmas to celebrate ("Twelvetide"), typically starting with Christmas Day (25 December...

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Greed is good - Simple partition P[n].
Find a simple partition P[n]. E.g. P[10] = 4 + 3 + 2 + 1. There are many solutions, compute just one set. Don't repeat numbers...

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Maya long Count
Given a Mayan date, calculate the number of days after the end of the last Great Cycle. <https://en.wikipedia.org/wiki/Maya_c...

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Rescaling vector
Rescale the entries of a vector x so that it spams [a,b]. The new values should be linearly stretched into the new range. _Ex...

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Equidistant numbers containing certain value in an interval
Given a lower and upper bound of an interval, distance between numbers, and one particular number from that interval, create an ...

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Pancakes for everyone!
Accordingly to the <http://nl.mathworks.com/matlabcentral/cody/problems/42460-the-cake-is-a-lie problem 42460>. All the children...

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Surface Fit z(x,y)
Given three vectors x,y,z. Find four coefficients c = [cxx cxy cyy c00], such that z = cxx*x.^2+cxy*x.*y+cyy*y.^2+c00. For e...

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[Thermodynamics] Polynomial fitting of heat capacity data

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D'Hondt Method of Proportional-Representation
The D'Hondt method is a proportional representational method for allocating seats to parties in an election. <https://en.wiki...

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pizza deals
Given two pizza slices of different sizes: * Slice A with angle alpha1, radius r1, and price p1 * Slice B with angle alpha2,...

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Design matrix from eigenvalues
Write a function that takes one input argument n and outputs a (n x n) square matrix A with the following properties: -A has...

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Find the centroid of triangle
Imagine that you want to calculate the *centroid* of some _triangles_ given in matrix form. First the coordinates of the vertice...

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Cumulative probability of finding an unlikely combination
This is a supplemental problem to the <http://www.mathworks.com/matlabcentral/cody/problems/621-cryptomath-addition CryptoMath> ...

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Percentage profit:5: Cumulative Interest
If a bank is giving r% yearly cumulative interest for deposit, how much profit we can get by keeping x amount of money for n mon...

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Kurchan 3x3 - Optimal Score
Find an optimal 3x3 Kurchan square, score of 198. A 3x3 Kurchan square has values 1:9.The products of each row, column, diag...

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unique with nan
input x = [2 NaN 3 5 NaN; 1 NaN 4 9 NaN; 8 -2 7 6 -2; 7 4 8 5 4]; output y_correct = [2 ...

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Distance a ball travels after throwing vertically
Calculate the total distance *'d'* (in meters) a ball would travel after *'s'* seconds and starting velocity of *'v'* (in m/s). ...

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Optimum Egyptian Fractions
Following problem was inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2126-split-bread-like-the-pharaohs-egypt...

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Index one element in each vector of an array along a given dimension
Functions like min and max can return in their second output argument the index of the element in each vector along a particular...

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Bouncing disk
A disk is placed in a rectangular room with dimensions a and b in a point with coordinates x0 and y0. The disk is given a startu...

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Seemingly impossible problem
This is a _seemingly_ 'impossible' problem, because variously your function, "impossibleFn", must return an output of either 1 o...

3 meses hace

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Identify points inside a Reuleaux triangle
Write a function to identify points that lie in or on a Realeaux triangle, which is a curve of constant width. The input to the ...

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1D DCT-II transform.
Implement a function that calculates 1D Discrete Cosine Transform <http://en.wikipedia.org/wiki/Discrete_cosine_transform#DCT-II...

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Triangular matrices in 3D array
Given a 3D numeric array _x_, return an array _y_ of the same size in which all entries to the right of the main diagonal are ze...

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Compute the dilation of a binary image
A basic operation in image analysis is the dilation. Given an image where each pixel is either on or off (black/white, true/fals...

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String permutations on phone keyboard
Given a number such as 2639 return all possible string permutations using the phone-keyboard on Problem 1069. input = 78 outpu...

3 meses hace