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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 ...

2 months ago

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

2 months ago

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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...

2 months ago

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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...

2 months ago

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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...

2 months ago

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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...

2 months ago

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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...

2 months ago

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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...

2 months ago

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Find the sides of an isosceles triangle when given its area and height from its base to apex
Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and h=...

2 months ago

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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,...

2 months ago

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Under the sea: Snell's law & total internal reflection
<https://en.wikipedia.org/wiki/Snell's_law> When a light travels from one medium to another medium, depending on the refracti...

2 months ago

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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...

2 months ago

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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...

2 months ago

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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...

2 months ago

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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 rotati...

2 months ago

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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=12 and h=4, the result is [0.8 0.8 ...

2 months ago

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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...

2 months ago

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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...

2 months ago

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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 downstrea...

2 months ago

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Leap years on other planets
A year is a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. This mean...

11 months ago

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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 ...

11 months ago