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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...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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....

6 years ago

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Avalaible area: wall construction
You need to build a wall to enclose a certain area. Calculate the available area after you build the wall. Assumptions * ...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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 ...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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...

6 years ago

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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 (...

6 years ago

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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...

6 years ago

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Right and wrong
Given a vector of lengths [a b c], determines whether a triangle with those sides lengths is a right triangle: <http://en.wikipe...

6 years ago

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Great Circle Distance
Find shortest between two points on a ball given their azimuthal and polar angles (in degrees) as well as the radius of the sphe...

6 years ago

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Smallest distance between a point and a rectangle
Given two points *x* and *y* placed at opposite corners of a rectangle, find the minimal euclidean distance between another poin...

6 years ago

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Clockwise or Counterclockwise
Given a list of 2-d points defining the vertices of a polygon, determine whether these points are sorted clockwise. The input...

6 years ago

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Are you in or are you out?
Given vertices specified by the vectors xv and yv, and a single point specified by the numbers X and Y, return "true" if the poi...

6 years ago

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Similar Triangles - find the height of the tree
Given the height, h1, of a power pole, shorter than a tree, a given distance, x2 away, please find h2, height of the tree. Pleas...

6 years ago

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Clock Hand Angle 1
Given a time in HH:MM:SS, find the smallest angle (in degrees) between the hour and minute hand

6 years ago

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Covering area
As an extension of the problem <http://www.mathworks.com/matlabcentral/cody/problems/416-polygon-area>, find the area, bounded b...

6 years ago

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What is the distance from point P(x,y) to the line Ax + By + C = 0?
Given a point, P(x,y), find the distance from this point to a linear line. INPUTS: x, y, A, B, C OUTPUTS: d, the distance ...

6 years ago

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Is the Point in a Circle?
Check whether a point or multiple points is/are in a circle centered at point (x0, y0) with radius r. Points = [x, y]; c...

6 years ago

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Angle between Two Vectors
The dot product relationship, a dot b = | a | | b | cos(theta), can be used to determine the acute angle between vector a and ve...

6 years ago

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Spherical radius given four points
Determine the radius of a sphere provided four non-coplanar points on the surface of the sphere. pts = [x1 y1 z1; x...

6 years ago

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Volume of a Parallelepiped
Calculate the volume of a Parallelepiped given the vectors for three edges that meet at one vertex. A cube is a special case ...

6 years ago