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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Break it up! Break it up!
You have N pennies. Write a Matlab script that will reveal how many different ways you can break up those pennies. For example...
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Fibonacci Decomposition
Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...
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Generate a random matrix A of (1,-1)
Input n: is an positive integer which serves as the dimension of the matrix A;
Output: A=(Aij),where each entry Aij is either...
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Roll the Dice!
Description
Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice.
Example
[x1,x2] = rollDice(...
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.
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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...
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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Getting the indices from a vector
This is a basic MATLAB operation. It is for instructional purposes.
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You may already know how to find the logical indices o...
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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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...