Solved

Laws of motion 6

5 years ago

Solved

Legendre polynomials
Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Legendre_polynomials Legendre polynomial>. *Ex...

5 years ago

Solved

Chebyshev polynomials of the 2nd Kind
Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

5 years ago

Solved

Chebyshev polynomials of the 1st Kind
Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

5 years ago

Solved

Rosenbrock's Banana Function and its derivatives
Write a function to return the value of <http://en.wikipedia.org/wiki/Rosenbrock_function Rosenbrock's two-dimensional banana fu...

5 years ago

Solved

Generalized Laguerre polynomials
Given an integer _n_ ≥ 0 and a scalar _a_, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials#Generalized...

5 years ago

Solved

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...

5 years ago

Solved

Lambert's W
Matlab cody does not support lambertw. Try to create a lambert's w function yourself. Lambert's W is the function that solves...

5 years ago

Solved

Kepler's Equation
Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...

5 years ago

Solved

Laguerre polynomials
Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials Laguerre polynomial>. *Ex...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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....

5 years ago

Solved

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). ...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

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...

5 years ago

Solved

Circumscribed circles
Given the lengths of the 3 sides of a triangle, output the radius of the circumscribed circle. Example: [3 4 5] -> 2.5

5 years ago

Solved

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...

5 years ago

Solved

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 ...

5 years ago

Solved

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...

5 years ago

Solved

Angle between two vectors
You have two vectors , determine the angle between these two vectors For example: u = [0 0 1]; v = [1 0 0]; The a...

5 years ago

Solved

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 ...

5 years ago