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Hollow Diamond Pattern
Create an N×N matrix that forms a hollow diamond shape using 1s, leaving the interior empty. This challenge emphasizes boundary ...

3ヶ月前

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Filled Diamond Pattern
Create an N×N binary matrix that forms a filled diamond shape centered in the matrix. The diamond expands symmetrically toward t...

3ヶ月前

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Return the largest number that is adjacent to a zero
This example comes from Steve Eddins' blog: <http://blogs.mathworks.com/steve/2009/05/27/learning-lessons-from-a-one-liner/ Lear...

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Temperature Conversion 1

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Mass Conversion 1

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Current through resistor
Three resistors (R2, R3, R4) are connected in parallel as shown in the figure. If this combination is connected in series with ...

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Calculate Parallel Resistance
Three resistors connected in parallel have resistances R1, R 2, and R 3, respectively. Return the total resistance R total of ...

3ヶ月前

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Velocity Conversion
Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.

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Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...

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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 ...

3ヶ月前

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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...

3ヶ月前

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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...

3ヶ月前

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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...

3ヶ月前

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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.

3ヶ月前

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Compute vehicle stopping distance using initial speed and constant deceleration.
Given vehicle speed v (m/s) and constant deceleration a (m/s²), compute stopping distance Remember: d = v² / (2a)

3ヶ月前

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Determine if a four bar mechanism is of Grashof type
A four bar mechanism is composed of four links. if s is the smallest link, l the longest and p,q are the length of the other lin...

3ヶ月前

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center of mass
R is a given matrix with size [n,2]. R(i,:) is interpreted as the 2D-position of a mass point with mass i. Calculate the center ...

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Center of mass
Given a matrix M(m,n), where m is the number of vertices of the geometrical element and n is 2 or 3 (2D-plane figure or 3D-solid...

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Elastic Collision 001: 1-D
Elastic Collision of two particles. <http://en.wikipedia.org/wiki/Elastic_collision wiki Elastic Collision> Solve Conservat...

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Calculate compression ratio of engine
Calculate compression ratio of engine given compression volume of cylinder(Vc), piston stroke(s) and valve diameter(d)

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Calculate Engine Power
Calculate Engine Power (P) in kW given the values of Torque(M) in Nm and Engine Speed(n) in rpm

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SatCom #4: Satellite Orbit Altitude
Satellite and Space Engineering - Problem #4 This is part of a series of problems looking at topics in satellite and space comm...

3ヶ月前

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Compute the missing quantity among P, V, T for an ideal gas
Consider 100 mol of helium gas at a certain pressure (P), volume (V), and temperature (T). Assuming that the ideal gas law appli...

3ヶ月前

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What gear ratio does the cyclist need?
A cyclist (perhaps including our famed Codysolver the cyclist <http://www.mathworks.com/matlabcentral/cody/players/1841757-the...

3ヶ月前

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Split a string into chunks of specified length
Given a string and a vector of integers, break the string into chunks whose lengths are given by the elements of the vector. Ex...

3ヶ月前

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Convert a Cell Array into an Array
Given a square cell array: x = {'01', '56'; '234', '789'}; return a single character array: y = '0123456789'

3ヶ月前

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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: * ...

3ヶ月前