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Convex Hull Capture
Imagine four points in uv that form a square. uv = [ ... 0,0; 0,2; 2,2; 2,0]; Now we have two more po...

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Euclidean distance from a point to a polynomial
A not uncommon problem in the area of computational geometry is to find the closest point to a straight line from a given point,...

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Find the sines of an isosceles triangle when given its area and height
Find the sines of an isosceles triangle when given its area and height. For example, when A=60 and h=5, the result is [0.3752...

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solid of revolution
Given an real polynomial P and two real numbers a,b with 0<=a<=b. Calculate the volume of the solid of revolution made by rota...

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Regular polygon bounded by and bounding a circle
As the number of sides (or vertices) of a regular polygon goes to infinity, its perimeter and area go to the perimeter and area ...

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Angle bisectors
Given 2 direction vectors, calculate the *_two_ (2) normalized angle bisectors* (which are perpendicular between them). Input...

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Fun with a compass
Each night for the past week, you have been having the same nightmare: You find yourself back in your junior high school geometr...

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Placing Beads Neatly in a Box
You are given a string of n black and white beads. Your job is to pack them neatly into a square box. "Neatly" in this case mean...

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Is It a Snake?
Given an m-by-n matrix, return true if the elements of the matrix are a connected "snake" shape from 1 to m*n. Otherwise return ...

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Find the Area of a Polygon
Consider 2-D geometry and assume that the points are given in form of rows of a matrix. Find the area of polygon enclosed by the...

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Why the heck are they blinking!?!?
Merry Christmas everyone! Sadly, the lights you've had on your tree for so many years burned out, and it's time to get a new se...

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Conic equation
A conic of revolution (around the |z| axis) can be defined by the equation s^2 – 2*R*z + (k+1)*z^2 = 0 where |s^2=x^2+y...

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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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The cake is a lie...
You're hosting a birthday party with a large number of screaming children. Fortunately, you have a gigantic sheet cake in front...

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Radiation Heat Transfer — View Factors (5)
View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

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Radiation Heat Transfer — View Factors (4)
View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

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Minimal cost
A power house, P, is on one bank of a straight river W meters wide, and a factory, F, is on the opposite bank L meters downstr...

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Construct a "diagAdiag" matrix
Construct a matrix whose elements begin from 1 and end at n^2 with the order of arrangement as shown below: For: n = 4 ...

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Matrix to 3-Column Matrix
Consider a matrix *A* such as A = [1 2 3 3 4 5 6; 2 3 4 5 6 7 8]; Can you convert this matrix to a three-column ...

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Vector to 3-Column Matrix
Consider a vector *A* such as A = [1 2 3 3 4 5 6] Can you convert this vector to a three-column matrix like this: ...

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Cookie Cutters
Given a larger and smaller matrix, perform element-by-element multiplication on the smaller matrix and a sub-matrix of the large...

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Sort rows of a matrix
Sort rows of matrix A in an ascending order according to the last column Example input: A = [1 2 3;7 8 9;4 5 6]; Exam...

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Block average ignoring NaN values
Given a matrix, calculate the block average of each disjoint sub-matrix while ignoring *NaN* values. Assume that the size of the...

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Block average
Given a matrix, calculate the block average of each disjoint sub-matrix of the same size. Assume that the size of the matrix alo...

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Crunch that matrix!
You are given an M x N matrix. Write a script that will compress this matrix into an M x (N/3) matrix, where each of the terms ...

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Moving Product (Easy)
Given an input array A, write a function *movprod(A,k,dim)* to calculate the moving product over a sliding window of length *k* ...

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Fill the Matrix - 2
Input is a column vector and n. n columns will be added to the left of the input column. The first value of the row is the me...

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Fill the matrix - 1
Input is a column vector and n. n columns will be added to the left of the input column. The first value of the row is the s...

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Replace secondary diagonal elements of a square array
Replace all the secondary diagonal elements of the square array A with the number n Example: A = [1 2 3 4 5 6 ...

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Find the Final State of an Abelian Sandpile
Let us define an <http://nautil.us/issue/23/dominoes/the-amazing-autotuning-sandpile Abelian sand pile> as a matrix that is only...

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