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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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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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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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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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switch base, again
Before Dyuman Joshi kindly fixed it, the test suite for problem 60436 contained some syntax errors that made the problem unsolva...

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Convert Celsius temperature to Fahrenheit
Given a temperature in Celsius, return the equivalent in Fahrenheit. Formula: F = C * 9/5 + 32Example: cel2fahr(100) returns 212...

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Find the Longest Consecutive Increasing Path in a Matrix
Given a 2D matrix of integers, find the length of the longest path where each step moves to an adjacent cell (up, down, left, ri...

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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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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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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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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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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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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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Triangle Area Using Heron's Formula
Given the three side lengths a, b, and c of a triangle, calculate its area using Heron's formula and round to 4 decimal places. ...

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[Master Regular Expression] Reformat Phone Number
You are given a phone number as a string number. number consists of digits, spaces ' ', and/or dashes '-'. You would like to re...

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[Master Regular Expression] Goat Latin
You are given a string sentence that consist of words separated by spaces. Each word consists of lowercase and uppercase letters...

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[Master Regular Expression] Vowel-Consonant Score
You are given a string s consisting of lowercase English letters, spaces, and digits. Let v be the number of vowels in s and c ...

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[Master Regular Expression] Unique Email Addresses
Every valid email consists of a local name and a domain name, separated by the '@' sign. Besides lowercase letters, the email ma...

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[Master Regular Expression] Strong Password Checker II
A password is said to be strong if it satisfies all the following criteria: It has at least 8 characters. It contains at l...

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Multiply the input by five
Create a function that takes an input x and returns an output y that is five times larger.

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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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[Master Regular Expression] Validate IP Address
Given a string queryIP, return "IPv4" if IP is a valid IPv4 address, "IPv6" if IP is a valid IPv6 address or "Neither" if IP is ...

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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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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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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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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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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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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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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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