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Estimate dynamic load transfer to front axle during braking.
During braking, load shifts from the rear axle to the front axle. Given mass, deceleration, center of gravity height, and wheelb...

6 months ago

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Compute the required brake torque at wheel to stop the car
Brake torque defines how effectively braking force translates into wheel deceleration. Given braking force and wheel radius, det...

6 months ago

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Estimate brake disc temperature rise during braking.
During braking, kinetic energy is converted into thermal energy, causing brake discs to heat up. Excessive temperature rise can ...

6 months ago

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Compute braking force using vehicle mass and acceleration.
Compute braking force required to stop a vehicle of mass 'm' and with acceleration 'a' Remember: F = m × a.

6 months ago

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Scaling vertically parabola by evaluating its area over an interval
Let p be a quadratic polynomial, with its axis of symmetry being the y-axis. Considering the vertical shift of its vertex to the...

6 months ago

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Multiply each matrix element by its row index and add its column index.
Return a matrix the same size as the input, multiply each element by its row index and add its column index. Example: x = [ 1 ...

6 months ago

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Difference of product and sum
Given a positive integer n, compute the difference between the product of its digits and the sum of its digits.

6 months ago

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Portfolio diversification: choose your stocks !
we have the returns of 3 stocks for the last 4 years and we have to combine only 2 stocks that are less correlated. Example: st...

6 months ago

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Pascal's Pyramid - A Variation with an Arial View
Let's create a matrix of size N x N containing a Pascal's Triangle in each quadrant that diverges from the centre to form an ari...

6 months ago

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Solve the recursion
Solve the recursion: f(n)=f(n-1)+1 + f(n-2)+2. f(1)=4; f(2)=8;

6 months ago

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Determine Matrix Dimensions Without Using size or length
Write a function that takes a matrix A as input and returns a row vector containing the number of rows and the number of columns...

7 months ago

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Determine Matrix Dimensions Without Using some built-in MATLAB functions, version 2
Write a function that takes a 2D matrix/1D vector x as input and returns a row vector containing the number of rows and the numb...

7 months ago

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Compute the Euclidean Distance Between Two N-Dimensional Vectors
Write a function that computes the Euclidean distance between two N-dimensional vectors. Given two input vectors x and z of equ...

7 months ago

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Sum all elements of a vector or matrix without using sum()
Write a function that computes the sum of all elements of the input array v without using the built-in sum function. The input ...

7 months ago

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Find the logic and return the nth number
given a sequence of numbers arranged in the following order: A=0,1,3,4,9,10,12,13,27,28,30,31,36,37,...... Write a function th...

7 months ago

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Find nth number
The numbers 2 and 7 are called lucky numbers, an integer containing only the digits 2 and 7 is also called lucky number. The pro...

7 months ago

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Chek the Delta = p' - p = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...

7 months ago

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Estimating Monthly Electricity Cost for a Household Appliance
You recently bought an electric kettle for your kitchen, and you want to estimate how much it costs to run every month. The kett...

7 months ago

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The Five Infection (Boss Level)
Given a 3x3 matrix A, replace: every value that is equal to five every value that is directly adjacent to a five with zero in...

7 months ago

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Fives Begone
Given any sentence as an input value 'sentence', turn all fives into the letter X and return the improved sentence. Also, turn a...

7 months ago

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Broken Clock
Create a function that outputs t, an inputted matrix time x, in hours and minutes (hr:min) unless the time contains a five. In t...

7 months ago

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No Fives Permitted
Create a function that gives users an custom error message if the matrix A contains a five. The error message should say "No Fiv...

7 months ago

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A Fiveless Factorial
Given a positive integer x, compute its factorial y, but exclude any muliplication by five if applicable.

7 months ago

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Don't Sum a Five
Create a function that sums the first and last element of a muti-element vector unless the value of one of the elements is 5. Do...

7 months ago

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Don't Include a Five (Part Two)
Given a vector A with at least one non-five, return vector B, with all fives excluded (not replaced by zeros).

7 months ago

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Don't Include a Five
Given a vector A, return vector B with all 5s replaced with 0s.

7 months ago

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High Five!
Write a function that takes a number x and returns y = 'High Five' if x is not equal to five. Return y = 'Denied' if the number ...

7 months ago

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A Five Introduction
Write a function that takes a number x as an input and returns the same value as y, unless x = 5, in which case the function sho...

7 months ago

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Diagonal of a Spiral Matrix
Write a function that will return same output as diag(spiral(n)). The only exception is that spiral and diag functions are not a...

7 months ago

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Create a block diagonal matrix
A block diagonal matrix is a square matrix that can be written as A = [a 0 0 0 0 b 0 0 0 0 c 0 ...

7 months ago