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Stress-Strain Properties - 3
A brittle material will not exhibit a yield point. In other words, the yield point and failure point coincide. In such cases, th...

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Stress-Strain Properties - 2
The resilience of a material is its ability to resist permanent (or plastic) deformation. The resilience coincides with the elas...

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Stress-Strain Properties - 1
This is the first in a series of problems regarding mechanics of materials, in particular, material properties drawn from stress...

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Write a function that gives the ReLU of the input.
The ReLU function is given by, In here, x input can be a scalar, vector or a matrix.

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Write a function that gives the ReLU of the input.
The ReLU function is given by, In here, x input can be a scalar, vector or a matrix.

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Make an awesome ramp for a tiny motorcycle stuntman
Okay, given a vector, say v=[1 3 6 9 11], turn it into a matrix 'ramp' like so: m=[1 3 6 9 11; 3 6 9 11 0; 6 9 ...

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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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Calculate cosine without cos(x)
Solve cos(x). The use of the function cos() and sin() is not allowed.

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Bit calculation
Give me the count of numbers from 1 to n having their last two bits as 0. For example function y = ret_count(4) y = x...

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Orthonormal matrix
You decide whether any given matrix is an orthonormal matrix or not. If each column in a matrix is perpendicular to the other...

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Electric Power Steering (EPS) Motor Torque with Efficiency
In EPS systems, the motor must generate additional torque to compensate for system losses. Given Required assist torque at rack...

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EPS Assist Map with respect to the Vehicle Speed
In Electric Power Steering (EPS), assist torque reduces as vehicle speed increases to improve stability at high speeds. Given S...

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Electric Power Steering (EPS) Assist Curve Calculation
Electric Power Steering (EPS) provides assist torque proportional to driver input. Given Steering torque Ts and Gain k, Compute...

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Steering Torque Estimation
Steering torque is generated due to lateral tire forces acting through the steering mechanism. Given Lateral force Fy and Lever...

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Understeer or Oversteer Gradient Calculation
This gradient determines whether a vehicle tends to understeer or oversteer. Given Mass m, Wheelbase L, Front cornering stiffne...

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Steering Ratio Calculation
The steering ratio defines the relationship between steering wheel angle and road wheel angle. Given wheel angle δ and Steering...

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Tire Slip Angle Calculation
Slip angle represents the angle between the direction a tire is pointing and the direction it is moving. Given Lateral velocity...

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Yaw rate of the vehicle
Yaw rate defines how quickly a vehicle rotates about its vertical axis during motion. Given Vehicle speed v and Turning radius ...

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Turning radius of a vehicle
The turning radius represents the radius of the circular path followed by a vehicle. Given Wheelbase L and Steering angle δ, Co...

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Steering 101-Ackermann Steering Ratio
In a turning vehicle, inner and outer wheels follow different radii. Ackermann steering geometry ensures both wheels roll withou...

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frame of the matrix
Given the matrix M, return M without the external frame.

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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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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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Popular Word Game™ Distance
Professor Ned, who holds the Nedowed Chair of Crackpot Mathematics at the University of Nedsburg, has recently discovered the da...

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Compute Radar Duty Cycle
A pulsed radar transmitter operates for a limited amount of time during each transmission cycle. The duty cycle represents the f...

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Calculation of Radar Dwell Time
This problem aims to determine the dwell time of a 2D-search radar antenna. The function takes as input the antenna horizontal b...

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Monostatic Radar Received Power Calculation
This problem aims to determine the received power of a monostatic radar system. The function takes as input the main radar param...

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Radar Unambiguous Range Determination
This problem aims to determine the radar unambiguous range based on the Pulse Repetition Frequency (PRF). The function takes the...

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Calculate Radar Pulse Energy
Compute the energy contained in a single radar pulse. The inputs are the peak power Pp (W) and the pulse width PW (s). The pulse...

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Compute Average Power of a Pulsed Radar
Compute the average transmitted power of a pulsed radar over one pulse repetition time. The inputs are the peak power Pp (Watt [...

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