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Balanced Ternary Numbers: Easy as |, |-, |o
This problem concerns the so-called <http://en.wikipedia.org/wiki/Balanced_ternary balanced ternary> system for representing num...

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Count the Number of Directed Cycles in a Graph
Given an asymmetric adjacency matrix, determine the number of unique directed cycles. For example, the graph represented by adj...

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Travelling Salesman Problem (TSP)
Find a short way through given points. This is the travelling salesman problem. But the solution should be a fast and small func...

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Plotting Practice
Plot cos(x) vs x as shown in the figure below. Include the appropriate title, x-label, and y-label. Note, it is case sensitive. ...

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Sieve of Eratosthenes - 02
"Sift the Two's and Sift the Three's, The Sieve of Eratosthenes. When the multiples sublime, The numbers that remain a...

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Converts numbers into characters
Converts numbers into characters

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calculate the length of matrix
input 1 array, calculate the length

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Square root
Given x (a matrix), give back another matrix, where all the elements are the square roots of x's elements.

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Determine connected components of a graph
Adjacency matrix of an undirected graph is given. Return the number of connected components in the graph.

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FloydWarshall
Our task is to find shortest paths between every pair of nodes. Floyd-Warshall is a graph algorithm for finding shortest paths i...

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Graph Algorithms 3: Number of Connected Components
Given an adjacency matrix of a simple undirected graph, find the number of connected components.

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Parcel Routing
Given a matrix that represent the distance along highways between major cities numbered 1 to _N_, provide the path and shortest ...

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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.

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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.

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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...

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Number of 1s in a binary string
Find the number of 1s in the given binary string. Example. If the input string is '1100101', the output is 4. If the input stri...

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Return the first and last characters of a character array
Return the first and last character of a string, concatenated together. If there is only one character in the string, the functi...

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Make the vector [1 2 3 4 5 6 7 8 9 10]
In MATLAB, you create a vector by enclosing the elements in square brackets like so: x = [1 2 3 4] Commas are optional, s...

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Check if number exists in vector
Return 1 if number a exists in vector b otherwise return 0. a = 3; b = [1,2,4]; Returns 0. a = 3; b = [1,2,3]; Returns 1.

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Determine whether a vector is monotonically increasing
Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

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Getting the indices from a vector
This is a basic MATLAB operation. It is for instructional purposes. --- You may already know how to find the logical indices o...

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Create times-tables
At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...

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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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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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Swap the input arguments
Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

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Swap the first and last columns
Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becomes the first. All oth...

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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be displayed ...

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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...

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Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...

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Generate a vector like 1,2,2,3,3,3,4,4,4,4
Generate a vector like 1,2,2,3,3,3,4,4,4,4 So if n = 3, then return [1 2 2 3 3 3] And if n = 5, then return [1 2 2 3 3 3 4...

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