# Yang Yang

### Peking University

Ph.D. Candidate in Fluid Mechanics at Peking University. Interested in High-Performance Computing, Computational Geometry, and Advanced Mathematical Physics.

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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...

3 years ago

Solved

Television Screen Dimensions

Given a width to height ratio of a TV screen given as _w_ and _h_ as well as the diagonal length of the television _l_, return t...

3 years ago

Solved

Clock Hand Angle 1

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

3 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...

3 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...

3 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...

3 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...

3 years ago

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Find third Side of a right triangle given hypotenuse and a side. No * - or other functions allowed

Find the remaining side of a triangle given the hypotenuse and a side. However, the normal functions and symbols are not allowe...

3 years ago

Solved

Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

If _p_ is the perimeter of a right angle triangle with integral length sides, { _a_, _b_, _c_ }, there are exactly three solutio...

3 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...

3 years 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...

3 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 ...

3 years ago

Solved

Are all the three given point in the same line?

In this problem the input is the coordinate of the three points in a XY plane? P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) how can...

3 years ago

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Calculate the area of a triangle between three points

Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vert...

3 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...

3 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...

3 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 ...

3 years ago

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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

3 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...

3 years ago

Solved

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...

3 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...

3 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...

3 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...

3 years ago

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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...

3 years ago