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Splitting Triangle - Problem the first

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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...

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Splitting Triangle - Problem the second

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Splitting Square - Problem the second

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Splitting Circle

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Nilpotent matrix
Check if matrix A is <http://mathworks.com/ nilpotent>.

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Project Euler: Problem 9, Pythagorean numbers
A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

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First N Perfect Squares
*Description* Return the first N perfect squares *Example* input = 4; output = [ 1 4 9 16 ];

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Matrix Construction I
Given n, construct a matrix as shown in the example below. Example For n=8, the output should look like this: 1 2 3 4 ...

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Symmetric matrix
You must create a n-by-n *symmetric* matrix such that A(row,col) = row/col for col >= row. Example if n =3 : output is : ...

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Create a matrix X, where each column is a shifted copy of the vector v
Example : in->v = (1:5)'; 1 2 3 4 5 out-> [1 5 4 3 2;2 1 5 4 3;3 2 1 5 4;4 3 2 1 5;5 4 3 ...

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linear least squares fitting
Inputs: * |f|: cell-array of function handles * |x|: column vector of |x| values * |y|: column vector of |y| values, same l...

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Rainbow matrix
Create a "rainbow matrix" as described in the following examples Input = 3 Output = [ 1 2 3 2 3 2 ...

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Generate this matrix
Generate the following matrix. n = 2; out = [-4 -3 -2 -1 0 -3 -2 -1 0 1 -...

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BULLSEYE Part 2: Reference Problem 18 BULLSEYE
Given n (always odd), return output a that has concentric rings of the 1s and 0s around the center point. Examples: Input ...

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"mirror" matrix
Create n x 2n "mirror" matrix of this type: Examples For n = 2 m = [ 1 2 2 1 1 2 2 1 ] For n = 3 m = ...

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Find Logic 15

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Find Logic 14

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Find Logic 16

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Mirror Image matrix across anti-diagonal
Given an input number x, create a mirror image matrix 'Y' across the anti-diagonal. For example, if x=3, Y = [1 2 3; ...

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Esoteric Trigonometry
From Wikipedia: "All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle cen...

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Create a Multiplication table matrix...
Create a product table in this format: P = [ 1 2 3 4 5; 2 4 6 8 10; 3 6 9 12 15; 4 8 12 1...

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Create Volcano (or Atoll) martix. It is an extension of Bullseye matrix problem.
For example, if n=2 (maximum value), the output matrix should be [1 1 1 1 1; 1 2 2 2 1; 1 2 1 2 1; 1 2 2 2 1; 1...

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Evaluate the logarithmic integral
The <https://en.wikipedia.org/wiki/Logarithmic_integral_function logarithmic integral> li(x) plays a role in number theory becau...

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Evaluate the Struve function
The <https://en.wikipedia.org/wiki/Struve_function Struve function> *H*_a(x) is a solution to an inhomogeneous form of Bessel's ...

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Column Removal
Remove the nth column from input matrix A and return the resulting matrix in output B. So if A = [1 2 3; 4 5 6]; ...

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Reverse the vector
Reverse the vector elements. Example: Input x = [1,2,3,4,5,6,7,8,9] Output y = [9,8,7,6,5,4,3,2,1]

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Compute the perimeter of an ellipse
While the area of an ellipse is straightforward to compute, the perimeter (or circumference) is more complicated. The perimeter ...

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Mass Conversion 2

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Mass Conversion 1

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