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String Logic 19
Examples: 'DIG' --> 'I' 'IMPORTANT' --> 'MOTN' 'DEAL' --> 'EL' 'LIMB' --> 'IB' 'MOSTLY' --> 'OTY'

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Total energy

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Potential energy calculation

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Kinetic energy calculation

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Laws of motion 1

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Laws of motion 2

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Laws of motion 3

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Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.

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Laws of motion 5
Calculate the force is u are given mass and acceleration.

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Laws of motion 6

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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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Generating random matrix with given probability mass function
Inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2356-simulating-the-selection-of-a-state-with-given-probabilit...

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Given n, create n random numbers such that their standard deviation is also n.
Given n, create n random numbers such that their standard deviation is also n.

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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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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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Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....

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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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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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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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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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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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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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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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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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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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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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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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Pascal's Matrix
Given an integer n ≥ 0, generate the ( _n_+1) × ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...

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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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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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