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Einstein
Calculate the energy by the famous formula of Albert Einstein.

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Find The Area Of The Circle
Find the area of the Circle using PI.

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Trapezium
Calculate the area of the Trapezium using it's bases and height.

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Get The Opposite Of The Number Without Negative (-) On It
You must get the opposite of the number X without making -X. Hint: You can make it by Subtraction and Multiplication.

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Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the shorter leg.
Further to the problem 43236, find the length of shorter leg P.S No built-in functions allowed

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Geometric Compression Ratio
The geometric compression ratio CR is the ratio of the total cylinder volume at BDC to the clearance volume at TDC. It is one of...

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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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Swept Volume and Clearance Volume
The swept volume (V_s) is the volume displaced by the piston as it travels from BDC (Bottom Dead Centre) to TDC (Top Dead Centre...

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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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Specific Fuel Consumption
Brake-specific fuel consumption (BSFC) measures how efficiently an engine converts fuel mass into useful work. Lower is better...

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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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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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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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Piston Mean Speed
Mean piston speed is a critical mechanical stress indicator — it sets limits on valve timing, bearing loads, and material fatigu...

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Robust Main Diagonal Sum with Special Value Handling in Arrays
Compute the sum of the diagonal elements of an array (vector or matrix). If array is not square return the char array: 'no-squa...

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Replace All Below-Average Elements in a Matrix with Zero
Given a 2D matrix of numbers, find the mean of all elements. Replace any element that is strictly below the mean with 0. Return ...

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Reverse the characters of a string
Given a string, return the string with characters in reverse order. Example: rev_string('hello') returns 'olleh'

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Sum the main diagonal of a matrix
Given a square matrix, return the sum of its main diagonal elements. Example: diag_sum([1 2 3; 4 5 6; 7 8 9]) returns 15

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Keep Only Even Numbers
Given a vector, return a new vector containing only the even numbers in their original order. Example: keep_evens([1 2 3 4 5 6])...

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Count the vowels in a string
Given a string, return the number of vowels (a, e, i, o, u — case insensitive). Example: count_vowels('Hello World') returns 3

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Count how many elements are above the mean
Given a vector, return the count of elements strictly greater than the mean of the vector. Example: above_mean_count([1 2 3 4 5]...

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Determine if a number is prime
Given a positive integer n, return 1 if it is prime, 0 otherwise. Example: is_prime(7) returns 1, is_prime(4) returns 0

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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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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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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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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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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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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 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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