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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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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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Create a random vector of integers with given sum
Your task today is to write a function that returns a vector of integer numbers, between, and including, 1 and m, of which the s...

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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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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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Numerical Integration
Input * |x0|, a real number greater than 0 Output * |I|, a numerical estimate of the integral x0 / I...

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Make a Plot with Functions
Make a plot and test

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Monte-Carlo integration
Write a function that estimates a d-dimensional integral to at least 1% relative precision. Inputs: * d: positive integer....

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There are 10 types of people in the world
Those who know binary, and those who don't. The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...

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Return area of square
Side of square=input=a Area=output=b

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Add two numbers
Given a and b, return the sum a+b in c.

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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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Solve a System of Linear Equations
Example: If a system of linear equations in x₁ and x₂ is: 2x₁ + x₂ = 2 x₁ - 4 x₂ = 3 Then the coefficient matrix (A) is: 2 ...

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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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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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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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Calculate Amount of Cake Frosting
Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...

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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(...

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Langston's Ant
The <http://en.wikipedia.org/wiki/Langton%27s_ant Langston's Ant> Challenge is to determine the number of Black squares after K ...

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What is the nth step in Conway's Life?
Based on <Problem 52. What is the next step in Conway's Life?> Generalize your solution to Problem 52 - Give the state of the...

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Find out sum and carry of Binary adder
Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. Examples Previo...

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Find the starting index of a consecutive condition
Given a logical vector |v|, and a positive integer |n|, return the smallest index |i| that satisfies: all( v(i : i+n-1) ) =...

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Sum the entries of each column of a matrix which satisfy a logical condition.
Given a numeric matrix A and a logical array L of the same size as A, return a row vector S containing the columnwise sums of th...

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Track Logic
A sensor produces either a hit (1) or a miss (0) for a given target once per scan. The sensor is also equiped with a tracker whi...

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German tank problem
The German tank problem is a well-known statistical problem that attempts to estimate the maximum of a discrete distribution fro...

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Sudoku Solver - Standard 9x9
Solve a Standard 9x9 <http://en.wikipedia.org/wiki/Sudoku Sudoku>. Values 1 thru 9 occur in each row, column, and the nine non-o...

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Can we make a triangle?
Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...

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Find the sides of an isosceles triangle when given its area and height from its base to apex
Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and ...

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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...

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Is the Point in a Triangle?
Check whether a point or multiple points is/are in a triangle with three corners Points = [x, y]; Triangle = [x1, y1; x...

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