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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...

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Radiation Heat Transfer — View Factors (3)
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 (1)
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 (2)
View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

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

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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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rectangle in circle
In the figure below, the rectangle at the corner measures a cm x b cm. What is the radius of the circle in cm? <<http://www....

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Cut an orange
Inspired by problem <http://www.mathworks.co.uk/matlabcentral/cody/problems/2175 2175>. A hungry matlab enthusiast has an ora...

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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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Spherical surface triangulation
Create a triangulation of a spherical surface with approximately-uniform coverage <<http://www.alfnie.com/software/print_sphe...

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Packing oranges - one layer
Help the seller to pack oranges efficiently. How many oranges can be put into a box in one layer without squeezing them? Give...

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Wayfinding 3 - passed areas
This is the third part of a series of assignments about wayfinding. The final goal of this series is to be able to calculate the...

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Wayfinding 2 - traversing
This is the second part of a series of assignments about wayfinding. The final goal is to be able to calculate the fastest route...

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Do the lines 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 (...

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Wayfinding 1 - crossing
This is the first part of a series of assignments about wayfinding. The final goal is to be able to calculate the fastest route ...

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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...

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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 ≥ 0). ...

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Find the optimal shape to bring the maximum product by a given perimeter
Find the optimal shape (with N sides) to bring the maximum product of the sides length, by a given perimeter. Example: Assumin...

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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...

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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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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...

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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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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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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...

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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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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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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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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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