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Project Euler: Problem 3, Largest prime factor
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

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Project Euler: Problem 1, Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

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An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?
area of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the si...

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ZigZag - 03
Given a matrix of any size, print its elements from the zigzag form of the matrix. For example, a=[1 2 3; 4 5 6; ...

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Replicate elements in vectors
Replicate each element of a row vector (with NaN) a constant number of times. Examples n=2, A=[1 2 3] -> [1 1 2 2 3 3] n=0...

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Set a diagonal
Given a matrix M, row vector v of appropriate length, and diagonal index d (where 0 indicates the main diagonal and off-diagonal...

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Matrix Pattern 7

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Matrix Pattern 6

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Matrix Pattern 3

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Matrix Pattern 4

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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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