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Similar triangles

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Circular Segment Area
Let us consider a circle with radius . If we draw an angle (in radians) from the center of the circle, the two radii forming th...

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Is the test point on the line segment?
Given the [x,y,z] coordinates for the three points pa, pb, and pc, return true if the test point pc is on the line segment with ...

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Sequence Vectorization - II
This is the second part to the question - Sequence Vectorization - I Given an array of Natural numbers, N, return the sequence ...

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Repeat a string (not a character array)
True string are a relatively recent addition to MATLAB, first having been available in R2016. Strings contrast with character ar...

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Solve the matrix equation AXB + X + C = 0 for X
Let A, B, and C be square matrices of equal size, and let the matrix X be defined by the matrix equation A * X * B + X + ...

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Determine whether the input is odd, even, or neither.
Make a function that returns ‘odd’ if the input is odd, ‘even’ if the input if even or ‘error’ if the input is neither odd nor ...

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How to calculate the length of a triangle's side given two angles and one side
You are given a triangle with angles alpha, beta and gamma and sides a opposite alpha, b opposite beta and c opposite gamma. ...

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Current through resistor
Three resistors (R2, R3, R4) are connected in parallel as shown in the figure. If this combination is connected in series with ...

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Remove all the columns contains only zero
Remove the column from the matrix which has only zeros . Refer the Example below a= 1 0 3 0 23 0 56 0 1 ...

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Determine whether a number is a prime self number
Integers can be classified as generated numbers or self numbers. A generated number is one that can be expressed as the sum of a...

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Identify prime words

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Binary Inversion
Given the unsigned 8-bit integer x, return the number y which is the binary inversion of x. For example if x is 5, y should b...

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Convert decimal to binary and then generate the minimum binary it can with jumbling
input is 10 --> 1010 output should be 3 --> 0011 input 23 --> 10111 output should be 15 --> 01111

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Integer complexity
Given an array, n, of positive integers, return an array, c, of the same size, in which each element is the complexity of the co...

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Recaman Sequence - II
Take an arbitrary starting point as input and create Recaman Sequence. Then find the 1, return its index. For example: if n =...

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Recaman Sequence - I
Recaman Sequence (A005132 - <http://oeis.org/A005132 - OEIS Link>) is defined as follow; seq(0) = 0; for n > 0, seq(n) ...

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Path of least resistance
Find the length of the shortest path through the matrix from the top left to bottom right corner. You may move right, down, or d...

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Weave two matrices together to form one matrix
Take the first column from matrix a, then insert the first column from matrix b, and so on. For example: a = [1 2 3 4]; b ...

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Find the definite integral of various linear functions
A definite integral had a minimum and maximum limit. When you solve this type of problem you must use both quad and the trapz fu...

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Repeat elements of a vector
Repeat each elements of a given vector according to their values. * x=[1,2,1,3] * y=[1,2,2,1,3,3,3]

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Flip the diagonal values
Write a program that flip the elements of main diagonal , upper and lower diagonal values of a sqare matrix. For example if a ...

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Swap between columns
The idea is to swap between second and second last column Ex = [1 2 3 4 5; 1 2 3 4 5; 1 2 3 4 5; 1 2 3 4 5; ...

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Remove a specific character with another
Remove any (-) dash sign with (_) underscore Ex = 'The-Journey-of-thoudsands-miles-starts-with-a-single-step' y = 'The_Jour...

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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

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Determine the Zeckendorf expansion of a number

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Generalized N-Cards Problem
Preface: This is a generalized version of the problem I presented <http://www.mathworks.com/matlabcentral/cody/problems/271-n-ca...

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Nth roots of unity
First, find the n nth roots of unity. eg if n = 6, find the n distinct (complex) numbers such that n^6 = 1. <https://en.wiki...

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Make one vector from two others
You are given two vectors of equal length. Your task is to create a MATLAB script that will repeat all of the values in the fir...

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