# Joshua hay

I have a mechanical engineering background and gained a love and interest in the design, analysis, and application of everything control and dynamical systems.

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Solved

MATLAB Basic: rounding

Do rounding near to zero Example: -8.8, answer -8 +8.1 answer 8

2 months ago

Solved

Generate Square Wave

Generate a square wave of desired length, number of complete cycles and duty cycle. Here, duty cycle is defined as the fraction ...

2 months ago

Solved

Sum of series VII

What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?

2 months ago

Solved

Pizza!

Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...

2 months ago

Solved

Sum of series VI

What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

2 months ago

Solved

Sum of series V

What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

2 months ago

Solved

Sum of series IV

What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

2 months ago

Solved

Sum of series III

What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

2 months ago

Solved

Sum of series II

What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

2 months ago

Solved

Sum of series I

What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

2 months ago

Solved

Composing relative poses in 2D: problem 2

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

1 year ago

Solved

Composing relative poses in 2D: problem 1

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

1 year ago

Solved

Relative points in 2D: problem 3

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

1 year ago

Solved

Relative points in 2D: problem 2

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

1 year ago

Solved

Relative pose in 2D: problem 2

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

1 year ago

Solved

Relative points in 2D: problem 1

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

1 year ago

Solved

Relative pose in 2D: problem 1

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

1 year ago

Solved

Find a Pythagorean triple

Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

1 year ago

Solved

Area of an Isoceles Triangle

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...

1 year ago

Solved

Dimensions of a rectangle

The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

1 year ago

Solved

Is this triangle right-angled?

Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

1 year ago

Solved

Is this triangle right-angled?

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

1 year ago

Solved

Triangle sequence

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

1 year ago

Solved

Area of an equilateral triangle

Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...

1 year ago

Solved

Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...

1 year ago

Solved

Side of a rhombus

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...

1 year ago

Solved

Length of a short side

Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

1 year ago

Solved

Sum all integers from 1 to 2^n

Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.

1 year ago

Solved

Magic is simple (for beginners)

Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.

1 year ago

Solved

Make a random, non-repeating vector.

This is a basic MATLAB operation. It is for instructional purposes. --- If you want to get a random permutation of integer...

1 year ago