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William


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

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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]...

alrededor de 16 horas hace

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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...

alrededor de 18 horas hace

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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...

2 días hace

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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!...

7 días hace

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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 ...

13 días hace

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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...

14 días hace

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

17 días hace

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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]!

17 días hace

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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...

17 días hace

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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 ...

19 días hace

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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) ...

19 días hace

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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...

20 días hace

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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...

21 días hace

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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...

21 días hace

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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,...

21 días hace

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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...

21 días hace

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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...

21 días hace

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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...

21 días hace

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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...

21 días hace

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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 ...

21 días hace

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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...

21 días hace

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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...

21 días hace

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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...

21 días hace

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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...

21 días hace

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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...

21 días hace

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

21 días hace

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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 ...

21 días hace

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MATLAB 101: Student Marks Analyzer
An array is given that contains the marks received by a group of students in their class test. Write a function that processes t...

21 días hace

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MATLAB 101: Area of a circle
Write a MATLAB function named circle_area that accepts the radius r as an input and returns the area of the circle.

21 días hace

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MATLAB 101: Basic Calculator
Write a MATLAB function named basic_calculator that accepts two input numbers, A and B, and returns four distinct outputs: The ...

21 días hace

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