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William


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

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Sum of proper divisors (aliquot sum)
A proper divisor of a positive integer n is any divisor of n except n itself. The aliquot sum is the sum of all proper divisors....

1일 전

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Caesar Cipher: shift a lowercase string
A Caesar cipher shifts every letter forward through the alphabet by a fixed amount, wrapping around from z back to a. Given a...

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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...

4일 전

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Touchard Polynomial
Return the coefficients of nth (n>=0) Touchard polynomials - T1(x) = x; output = [1 0]; T2(x) = x^2 + x; output = [1 1 0]...

5일 전

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Play the Disk
To access the memory address of program on disk, MS-DOS uses sectors,cylinders and heads, on disk in 3D coordinates. Given the h...

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Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

6일 전

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Count divisors of n!
The factorial of 5, or 5! = 120, has 16 divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. How many does n!...

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Stirling Numbers - I
Problems #1388 & #45187 deal with Stirling numbers of the 2nd Kind. Here, generate the Stirling numbers S(n,k) of the 1st kind ...

17일 전

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MATLAB 101: Multinacci Sequence Generator
Create a function that generates a sequence of length n based on the sum of the previous l terms. If l = 2, it acts like the Fi...

18일 전

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Plot
Make a plot of the vector x. NOTICE: YOU CAN NOT USE ans INSTEAD OF y!

22일 전

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Title
Make a plot for x and add title "My Plot". NOTICE: YOU CAN NOT USE ans INSTEAD OF [y ax]!

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Shuffle primes based on their digits
A sequence consisting of prime numbers only starts with 2, the first prime. The next term is the smallest unused prime that shar...

22일 전

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MATLAB 101: University Department Data Analyzer
You are given an array containing the number of students in various academic departments of a university, along with a parallel ...

23일 전

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MATLAB 101: Wye to Delta Impedance Converter
n electrical network analysis, transforming a Wye (Y) configuration of impedances (Z1, Z2, Z3) into an equivalent Delta (Delta) ...

23일 전

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MATLAB 101: List Manipulation: Add and Remove
Create a MATLAB function that performs dynamic list operations on a cell array of strings. The function should accept the curren...

24일 전

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MATLAB 101: Tribonacci Sequence
Each number in the Tribonacci series is the sum of the three preceding ones. Sequence: 0, 0, 1, 1, 2, 4, 7, 13, 24, 44, ... Writ...

25일 전

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MATLAB 101: Lucas Sequence
The Lucas sequence follows the same additive rule as Fibonacci, but starts with 2 and 1. Sequence: 2, 1, 3, 4, 7, 11, 18, 29, 47...

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MATLAB 101: Fibonacci Sequence
The Fibonacci sequence is defined by the rule that each number is the sum of the two preceding ones. Sequence: 0, 1, 1, 2, 3, 5,...

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MATLAB 101: Factorial Finder
The factorial of a non-negative integer n (denoted as n!) is the product of all positive integers less than or equal to n. For e...

25일 전

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MATLAB 101: Conditional Product or Sum Calculator
Write a MATLAB function that accepts two integer numbers. If the product of the two numbers is less than or equal to 1000, retur...

25일 전

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MATLAB 101: Delta to Wye Impedance Converter
In electrical network analysis, transforming a delta (Delta) configuration of components into a wye (Y) configuration is vital f...

25일 전

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MATLAB 101: Area of an ellipse
Write a MATLAB function that accepts these two values a (major axis length), b (minor axis length) as inputs and returns the cal...

25일 전

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MATLAB 101: Scalar-Vector Multiplication
Write a MATLAB function that takes a numeric array (vector or matrix) v and a scalar multiplier s. The function should return a ...

25일 전

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MATLAB 101: Count the Evens
Write a MATLAB function that accepts an array of integers and returns the total count of even numbers present in the array. Note...

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MATLAB 101: Replace Negatives with Zero
Write a MATLAB function that takes a numeric array (vector or matrix) of numbers and replaces all negative numbers with zero. Po...

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MATLAB 101: Reverse a Vector
Write a MATLAB function that takes a 1D vector (either a row or a column vector) and returns the vector with its elements in exa...

25일 전

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MATLAB 101: Rectangle Properties
Write a MATLAB function that accepts the length (L) and width (W) of a rectangle and returns two outputs: its area and its perim...

25일 전

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MATLAB 101: Hypotenuse Calculator
Write a MATLAB function that accepts the base and height of a right-angled triangle (or arrays of bases and heights) and returns...

25일 전

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MATLAB 101: Equivalent Resistance Calculator
Calculate the equivalent resistance R_eq for n resistors connected in Series or Parallel.

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MATLAB 101: Extracting Even/Odd Values
Given an array or a matrix, extract all elements that satisfy a specified parity condition ('even' or 'odd') and return them as ...

25일 전

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