# William

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

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**Content Feed**

Solved

List the ways to write 1/n as the sum of two unit fractions

Cody Problem 59841 involved counting the ways that can be written as the sum of two unit fractions (those with a numerator of 1...

1 day ago

Solved

Count the ways to write 1/n as the sum of two unit fractions

The number 1/2 can be written as 1/3+1/6 and 1/4+1/4, and the number 1/9 can be written as 1/18+1/18, 1/12+1/36, and 1/10+1/90. ...

1 day ago

Solved

List the segmented numbers

The sequence of segmented numbers begins 1, 2, 4, 5, 8, 10, 14, 15, 16. Notice that none of the terms is the sum of consecutive ...

1 day ago

Solved

Out-of-Place Elements Count

Determine the number of elements in a list of integers that are not in their original order after sorting the list in ascending ...

1 day ago

Solved

Determine if the square root is an integer.

Write code that returns true if perfect square and returns false if square root is not an integer.

3 days ago

Solved

Calculate the Area of the Ring

You have Ring which consist of inner and outer Circles with Radius r and R which are not given but you'll be given Hprizontal ...

9 days ago

Solved

Determine whether a number is a Gaussian prime

A Gaussian prime is a number that cannot be factored. For example, is not a Gaussian prime because it can be factored as the p...

9 days ago

Solved

Sequencing Odd Even numbers

Given an input value n, create a vector which contains all odd numbers & even numbers centered around mean of vector. If the me...

9 days ago

Solved

Extract Increasing Integers from Digit String

Given a string containing only digits, the function get_integers should return the list of increasing integers obtained by readi...

14 days ago

Solved

Matrix Rotation

Write a MATLAB function that rotates a given matrix by 90 degrees clockwise. The rotation should be performed in-place, without ...

14 days ago

Solved

Palindrome Checker

Create a MATLAB function that checks whether a given string is a palindrome or not. A palindrome is a word, phrase, number, or o...

14 days ago

Solved

Sun angle

Determine the angle of the sun above the horizon based on the time of day. Assumptions: the sun rises in the East at 6h00, cor...

15 days ago

Solved

Replace with Lower

Given a list of integers, for each element, replace it with the minimum integer found in the sub-list to its strict right (exclu...

15 days ago

Solved

Sort by absolute value

Given a list of numbers, arrange them in ascending order based on their absolute values. For example, for the list [-30, -5, 1...

15 days ago

Solved

Limiting Element Occurrences

You are given a list 'v' of numbers. This list may contain repeated numbers. Your objective is to create a new list that maintai...

15 days ago

Solved

Complete a geometric sequence

In Cody Problem 59786 minnolina asks us to find the integer that completes a randomly sorted arithmetic sequence with one missin...

15 days ago

Solved

Available ingredients + recipe -> number of cakes

Write a function Egg_Milk_Sugar(L, recipe) to determine the maximum number of cakes that can be prepared given a list of availab...

15 days ago

Solved

Compress list

Given a non-empty list L of positif integers, compress the list so that only one occurrence is retained if two (or more) equal e...

15 days ago

Solved

Digits eliminate

Complete the function my_f(n,b) to return, for a given integer, the number obtained by removing the digits '0' and 'b'. If there...

15 days ago

Solved

Leader

An element of a list is called a "leader" if every element to its right (and not just the one immediately to its right) is stric...

16 days ago

Solved

Missing Number

Given a list of integers forming an arithmetic progression (where the difference between consecutive elements is constant), your...

16 days ago

Solved

Pivot index

Let L be a vector of numbers. We are searching for the index n of the pivot element defined as follows: the dot product of the e...

17 days ago

Solved

Counting the occurrences of a digit in a book

The printer has printed a book with 'p' pages. How many times did they use the character 'd'? In other words, how many times doe...

17 days ago

Solved

Determine if a Digit is Isolated

A digit is considered isolated if both its left and right neighbors are different from itself. For example, in the number 776444...

17 days ago

Solved

Merge two integers

We want to merge the digits of two integers having the same number of digits to obtain a new integer whose digits are obtained b...

17 days ago

Solved

finding vector pair with min angle between them

given a matrix with more than one row , compare row vectors of the given matrix and find the pair with the minumum angle between...

18 days ago

Solved

Calculating distance of lightning based on time delay

If we know the time delay between when we see lightning and hear thunder then we can calculate approximate distance(in meters) o...

24 days ago

Solved

Express numbers as the sum of a prime, a square, and a cube

While traveling on an interstate highway, I noticed a sign that gave distances to three places. The distances were 3, 8, and 9 m...

29 days ago

Solved

Solve an ODE: Ekman spiral on a solid surface

Problem Write a function to solve for and as a function of in this system of ordinary differential equations: where , ...

1 month ago

Solved

Find the minimum element coprime to the rest in a set of 10 consecutive integers

In this video, Dr Barker argued that a set of 10 consecutive integers must have at least one integer coprime to the rest. For ex...

1 month ago