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Pairwise Euclidean Distance
Given two matrices A,B of dimensions NxK and NxL respectively, calculate the pairwise euclidean distance of all vectors (columns...

約17時間 前

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Slicing the cube
A bored matlab enthusiast has a cube with volume n^3. He decides to paint the entire surface of the cube red. Then, with slices...

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distance to a straight line (2D) given any 2 distinct points on this straight line
Given 2 points P1,P2 on a straight line and a 3rd point, determine the distance of the 3rd point to the straight line. Your answ...

約17時間 前

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Vector parallel to plane?
Given the coefficients of the equation which defines a plane as follows: ax+by+cz=d, return a boolean indicating whether the 2n...

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Parallel vectors
Return true or false depending on whether 2 vectors are parallel or not. Vectors can be 2 or 3 dimensional. The origin is not c...

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Esoteric Trigonometry
From Wikipedia: "All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle cen...

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Do the line-segments intersect?
You are given two line segments. Do they cross? Consider one segment as (x1,y1) to (x2,y2), the other segment as (x3,y3) to (x4...

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Distance between two GPS Coordinates
A problem that arises when performing geographically weighted regression is determining the distance between GPS coordinates. GI...

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LASER Tracker - Mirror Distance and Angle
Determine the mirror's distance and relative angle to the LASER Tracker given the distances to a reference SMR (Spherical Mounte...

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Crossing to Kissing - Untangle the Lines
Turn lines that cross into lines that kiss. You will be given two lines that cross at some point. Your job is to untangle the...

4日 前

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Volume difference between Ellipsoid and Sphere
Given an ellipsoid of semi principal axis (a,b,c) find the volume of the difference between this ellipsoid and the sphere with...

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Points on a Sphere
Given a sphere of radius R, determine how many points on the surface of that sphere have three integer coordinates. Do not outp...

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Geometry: Find Circle given 3 Non-Colinear Points
*This Challenge is to determine the center and radius of a circle given three non-colinear points.* *Input:* Points *Outpu...

4日 前

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Perimeter
Given a sequence of points forming a closed path (first and last points are coincident) return the perimeter value. For example...

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Points on a circle.
This problem is related to <url=http://www.mathworks.com/matlabcentral/cody/problems/1283-points-on-a-sphere>Problem 1283, Point...

4日 前

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Number of lattice points within a circle
Find the number of points (x,y) in square lattice with x^2 + y^2 =< n. This is related to Jame's <http://www.mathworks.com/matla...

4日 前

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Find the optimal shape to bring the maximum product by a given perimeter
Find the optimal shape (with Nopt sides, where Nopt is at least 3) to bring the maximum product of the sides length, given a spe...

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Volume of a Simplex
Return the volume of a <http://en.wikipedia.org/wiki/Simplex regular _n_-simplex> with a unit side length. Results are up to...

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Edges of a n-dimensional Hypercube
Return the number of edges on an <http://en.wikipedia.org/wiki/Hypercube _n_-dimensional hypercube> (with an integer n &ge; 0). ...

4日 前

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Dots in a Circle
Return how many integer grid points there are inside a circle of radius _r_ centred at (0,0) (including points on the edge). ...

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Minimum Distance Point to Segment
This Challenge is to determine the minimum distance from a 2-D line segment defined by two points to a point. The point is (p...

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Minimum Distance between two N-sided Polygons
This Challenge is to determine the minimum distance between two non-overlapping polygons. The input is a cell array of two vecto...

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Beads on a Necklace (Convex Hulls)
We may describe a <http://en.wikipedia.org/wiki/Convex_hull convex hull> as a rubber band stretched around a list of points. Som...

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Triangular Tiling Dots in a Circle
Return how many <http://en.wikipedia.org/wiki/Triangular_tiling Triangular Tiling> grid points there are inside a circle of radi...

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Dots in a Sphere
Return how many integer grid points there are inside a 3D sphere of radius _r_ centred at (0,0,0) (including points on the edge)...

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Hexagonal Tiling Dots in a Circle
Return how many <http://en.wikipedia.org/wiki/Hexagonal_grid Hexagonal Tiling> grid points there are inside a circle of radius _...

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Shifted Hexagonal Tiling Dots in a Circle
Return how many <http://en.wikipedia.org/wiki/Hexagonal_grid Hexagonal Tiling> grid points there are inside a circle of radius _...

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Property dispute!
Two neighbors have rectangular plots of land A and B. The surveyors give you the coordinates of each. If they overlap, there is ...

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Dots in a Diamond
Return how many <http://en.wikipedia.org/wiki/Diamond_cubic Diamond Cubic> lattice grid points there are inside a 3D sphere of r...

4日 前

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Determine if a Given Number is a Triangle Number
*Description:* Determine if the elements of an input array are triangle numbers and return the result as an array with the sa...

4日 前

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