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Matrix Pattern 1

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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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Energy of an object
Calculate the total mechanical energy of an object. Total Energy= Potential energy + Kinetic energy P.E.=m*g*h K.E.=1/2...

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Calculate Engine Power
Calculate Engine Power (P) in kW given the values of Torque(M) in Nm and Engine Speed(n) in rpm

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Area Conversion 2

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Area Conversion 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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The Matrix Construction
Given two input ,first one is CN (Column Number), Second one is Dim Can you produce such a matrix for example CN=6; Dim=2 ...

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Generate this matrix
For a given odd integer n, generate a matrix as follows: Input: n = 5; Output: [ 2 1 0 0 0 1 ...

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Toeplitz Matrix
For a given square matrix of order n-by-n check whether this is a Toeplitz matrix or not. Return true if it is.

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Pascal's pyramid
In Pascal's triangle each number is the sum of the two nearest numbers in the line above: 1 1 1 ...

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Diagonal of a Spiral Matrix
Write a function that will return same output as diag(spiral(n)). The only exception is that spiral and diag functions are not a...

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Numbers spiral diagonals (Part 2)
Inspired by Project Euler n°28 and 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the right ...

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Easy Sequences 20: Counting Prime-sided Rectangles
A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-...

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Repeat middle rows and columns of an array
Given an MxN numeric array (A), return an array (B) in which the middle rows and columns have each been repeated once. It may be...

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Maximum of each diagonal
The well-known <http://www.mathworks.com/help/matlab/ref/max.html max> function can operate along either the rows or the columns...

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Triangular matrices in 3D array
Given a 3D numeric array _x_, return an array _y_ of the same size in which all entries to the right of the main diagonal are ze...

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ZigZag matrix with reflected format
ZigZag MATRIX with REFLECTED format. We have only input x. We have to create a matrix in the following pattern. input n=5...

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Find Elements in Range
Based on a question on <http://www.mathworks.com/matlabcentral/answers/ MATLAB Answers>. Find all the elements of a vector wh...

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Combine Data With Gaps
Combine data sets a and b where the datasets have "gaps" or unique points. Example: Input a = [1,0; 2,1; ...

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Longest Sequence of NaNs
In an array return the length of longest sequence of nans for each column. x = [ 2 3 1 2 5 6; nan nan 5 n...

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Hard limit function
Classify x data as if x>=0 then y=1 if x<0 then y=0 Example x = [ -2 -1 0 1 2] y = [ 0 0 1 1 1]

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

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

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Calculate Euler's phi function
Compute the Euler's phi function of a large integer. For more information about this topic please visit: <https://en.wikiped...

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Sum the Digits of a Number
Given an integer, sum the digits repeatedly until you end up with a single value less than 10. For example, if you add the di...

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Getting logical indexes
This is a basic MATLAB operation. It is for instructional purposes. --- Logical indexing works like this. thresh = 4...

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Wind Chill Computation
On a windy day, a temperature of 15 degrees may feel colder, perhaps 7 degrees. The formula below calculates the "wind chill," i...

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Resizing Matrices
Take an 4x3 matrix, and resize it to a 2x6 matrix

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Find the sum of the largest two elements in a vector
With this one, you have to find the two largest elements in a vector and output the sum of those numbers.

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