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Engine Displacement
Engine displacement is the total swept volume of all cylinders. It is determined by bore (cylinder diameter), stroke (piston tra...

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Fuel-Air Equivalence Ratio (Lambda)
Lambda (λ) is the ratio of actual air-fuel ratio to the stoichiometric air-fuel ratio. λ = 1 is perfect stoichiometry, λ < 1 is ...

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Volumetric efficiency
Volumetric efficiency measures how well an engine breathes. The ratio of the actual air mass drawn in per cycle to the theoreti...

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Brake Mean Effective Pressure (BMEP)
BMEP is a normalised measure of engine work output per cycle per unit displacement. It lets you compare engines of different siz...

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Engine torque and RPM
Torque and power are related through rotational speed. Knowing brake power and engine RPM, you can back-calculate the torque del...

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Engine Thermal Efficiency
The thermal efficiency of an ideal Otto cycle engine depends only on the compression ratio. A higher compression ratio yields gr...

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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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NCHOOSEK - Time Optimization
Input V —— Set of all choices, a vector of N, 1 < N < 100 K —— Number of selected choices, a scalar, 0 <= K <= N Output C ——...

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Combinations without using nchoosek
You have to generate a matrix with all possible combinations of n elements *taken 2* at a time, *without using nchoosek(1:n,2)* ...

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Sum all elements of a vector or matrix without using some built in functions
Write a function that computes the sum of all elements of the input array v without using the following built-in function: sum,...

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Robust Corner Product with Special Value Handling in Arrays
Compute the product of the corner elements of an array (vector or matrix). If any corner element is NaN, return NaN. If any co...

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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...

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Robust Corner Sum with Special Value Handling in Arrays
Compute the sum of the corner elements of an array (vector or matrix). If any corner element is NaN, return NaN. If any corner...

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Return the product of all elements of a vector or matrix without using built-in functions
Compute the product of all elements of the input array without using the built-in functions prod, ans, or size.

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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...

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Determine Matrix Dimensions Without Using some built-in MATLAB functions
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...

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Starburst Mandala
Create a mandala starburst using diagonal and orthogonal symmetry in a matrix.

2 meses hace

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Concentric Squares Mandala
Generate concentric square rings of alternating 1s and 0s to form a layered mandala-style matrix. e.g. N = 5; 1 1 1 1 1;...

2 meses hace

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Circular Ring Approximation Mandala
Generate a matrix that approximates a circular ring using distance-based thresholding , a visually rich mandala-inspired challen...

2 meses hace

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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 ...

3 meses hace

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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...

3 meses hace