# William

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

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Solved

Backgammon #5 - Valid Move?

A previous problem in this occasional series (Problem 45967) set up a possible representation of a backgammon board: White ston...

1 giorno ago

Solved

List the dopey numbers

If vile numbers have binary representations that end with an even number of zeros (even vile), then numbers with binary represe...

1 giorno ago

Solved

Find a Prime Number

Find a prime number from a vector Example: [2 51 8 65 19] a = 51

3 giorni ago

Solved

List the vile numbers

Evil numbers, the subject of Cody Problem 2733 have an even number of ones in their binary representations, whereas odious numbe...

3 giorni ago

Solved

Easy Sequences 32: Almost Pythagorean Triples

An Almost Pythagorean Triple (abbreviated as "APT'), is a set of 3 integers in which square of the largest element, which we wil...

4 giorni ago

Solved

List the Beatriz numbers

Write a function to find integers less than or equal to an input value that solve the equation . The function gives the sum o...

4 giorni ago

Solved

Backgammon #4 - Dice Probabilities

Previous problems in this series have looked at how a backgammon board might be represented, and board positions manipulated and...

6 giorni ago

Solved

Backgammon #3 - Display a Board Position

A previous problem in this occasional series (Problem 45967) set up a possible representation of a backgammon board: White ston...

7 giorni ago

Solved

Maximum number of decimal places in a set of numbers

Given a vector or matrix of values, calculate the maximum number of decimal places within the input. Trailing zeros do not count...

8 giorni ago

Solved

Draw 'P' !!!

Draw a n by n matrix 'P' using 0s and 1s. (n is odd and greater than 4) if n=5 , then the output will be [1 1 1 1 1 1 0 0 0...

9 giorni ago

Solved

Find the summation, mean, median, mode and standard deviation of a given array.

An array is given. Find out the summation, mean, median, mode and standard deviation of a given array. If x=[1,2,2,3,3,3,4,4,4,...

10 giorni ago

Solved

Is A matrix the inverse of B matrix ?

Given a matrix A and a matrix B, is A the inverse of B? >>A=[2,4;3,5]; >>B=[-2.5,2;1.5,-1]; >>isInverse(A,B) ans = 1

10 giorni ago

Solved

Backgammon - Your turn!

A previous problem in this occasional series (Problem 45967) set up a possible representation of a backgammon board: White ston...

12 giorni ago

Solved

Easy Sequences 62: Sum of Omega-3 Function

For an integer , the prime big omega function, , is defined as the total number of prime factors of . If , since , therefore . ...

12 giorni ago

Solved

Total resistance of a network of resistors in series and parallel

What is the total resistance of a network of resistors in series and in parallel? A matrix R contains the resistances (in Ohm) ...

12 giorni ago

Solved

Total resistance of resistors in parallel

What is the total resistance of a number of resistors in parallel? A vector R contains the resistances (in Ohm) of n resistors,...

12 giorni ago

Solved

Total resistance of resistors in series

What is the total resistance of a number of resistors in series? A vector R contains the resistances (in Ohm) of n resistors, w...

12 giorni ago

Solved

SatCom #10: Rate of Precesion of Orbit Plane (Nodal Precession)

Satellite and Space Engineering - Problem #10 This is part of a series of problems looking at topics in satellite and space com...

14 giorni ago

Solved

SatCom #9: Overall Link Performance

Satellite and Space Engineering - Problem #9 This is part of a series of problems looking at topics in satellite and space comm...

14 giorni ago

Solved

SatCom #8: Satellite Link Budget

Satellite and Space Engineering - Problem #8 This is part of a series of problems looking at topics in satellite and space comm...

14 giorni ago

Solved

Easy Sequences 59: Almost Twin Primes

A positive integer pair , is called an "almost twin prime pair", if one of the pair is a prime and the other is either a prime o...

22 giorni ago

Solved

Easy Sequences 58: Curious Prime-Rational Functions

For some prime numbers and where , a rational function , is defined as follows: . Using the output , another rational functi...

24 giorni ago

Solved

Easy Sequences 56: Counting "Ugly" Numbers

A positive integer is called a regular number, if and only if there exist a non-negative integer , such that . For some reason...

circa un mese ago

Solved

Easy Sequences 54: Product of Products of Proper Divisors

A divisor of a number that is less than the number is called a "proper divisor". For a given positive integer , we are asked t...

circa un mese ago

Solved

Multiply Large Hexadecimal Numbers

Multiply two large hexadecimal numbers together and output the hexadecimal representation of the result. For example: a='abcde...

circa un mese ago