William

Last seen: 1 day ago | Active since 2012

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Semi-retired physicist with interests in numerical modeling and mathematics.

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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 ...

1 day ago

Solved

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. ...

1 day ago

Solved

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]...

1 day ago

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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...

1 day ago

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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

1 day ago

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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'

1 day ago

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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

1 day ago

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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

1 day ago

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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...

4 days ago

Solved

Total Volume Goal ( Medium )
Usually, the target T must be in one jug. In this version, the target T is the sum of water in all N jugs. Example: C = [3,5], ...

5 days ago

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Record the Actions ( Medium )
Find the minimum steps to get T units from jugs A and B. Return the sequence of actions as cell array of strings. Available act...

6 days ago

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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...

7 days ago

Solved

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...

7 days ago

Solved

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...

7 days ago

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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...

7 days ago

Solved

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

7 days ago

Solved

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

7 days ago

Solved

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...

7 days ago

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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 ...

7 days ago

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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...

7 days ago

Solved

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

7 days ago

Solved

Mirror Pair Mean
Given a row or column vector v, create a vector y of the same size where each element is replaced by the average of itself and i...

9 days ago

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Odd Run Sums
Given a row vector x of integers, find every maximal run of consecutive odd numbers and return a row vector containing the sum o...

9 days ago

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Upper vs Lower Triangle
Create an n × n matrix A such that: Elements strictly above the main diagonal are 1 Elements strictly below the main diagonal ...

10 days ago

Solved

Center-of-Mass Index of a Vector
Given a numeric vector x, treat each element x(i) as a mass located at index i. Compute the center-of-mass index idx = sum(i *...

10 days ago

Solved

Rotating the plane region bounded by two polynomials
Let p and q be n-degree and m-degree polynomials with n >= m >= 1. Consider clockwise rotate the plane region bounded by these t...

10 days ago

Solved

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...

13 days ago

Solved

Problem: Battery State Estimation with Temperature Effect
In a Battery Management System (BMS), the usable capacity of a battery decreases when operating at extreme temperatures. The ef...

13 days ago

Solved

Comparing to scale all terms versus one term of even-degree polynomial by the same scale factor
Let p be an even-degree polynomial with positive leading coefficient. Consider the scale factor, k, that vertically transforms ...

14 days ago

Solved

Shifting vertically even-degree polynomial's graph by its mean over an interval
Let p be an even-degree polynomial with positive leading coefficient. Consider its vertical translation by shifting its graph by...

15 days ago