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Whether the input is vector?
Given the input x, return 1 if x is vector or else 0.

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Find max
Find the maximum value of a given vector or matrix.

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Get the length of a given vector
Given a vector x, the output y should equal the length of x.

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Inner product of two vectors
Find the inner product of two vectors.

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Arrange Vector in descending order
If x=[0,3,4,2,1] then y=[4,3,2,1,0]

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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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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

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Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given number of...

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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

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Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...

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Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...

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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 ...

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Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...

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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...

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Estimate brake line pressure required for a given force.
Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydrau...

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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...

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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.

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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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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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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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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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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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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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Cell Counting: How Many Draws?
You are given a cell array containing information about a number of soccer games. Each cell contains one of the following: * ...

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