# Are Mjaavatten

Retired physicist with background in the petroleum and process industry. My main interests are mathematical modelling, numerical methods, and thermodynamics.

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**Content Feed**

Solved

Project Euler: Problem 18, Maximum path sum I

By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bott...

8 hours ago

Solved

Project Euler: Problem 16, Sums of Digits of Powers of Two

2^15 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26. What is the sum of the digits of the number 2^N? Thanks ...

1 day ago

Solved

Longest Collatz Sequence

Inspired by Projet Euler n°14. The Collatz iterative sequence (See Cody problem n° 2103 and 211) is defined for the set of po...

2 days ago

Solved

Large Sum (inspired by Project Euler 13)

Your function will be provided an arbitrary number of numbers of arbitrary sizes as a cell array of strings. Some numbers will b...

4 days ago

Solved

Divisors for big integer

Inspired by Problem 1025 and Project Euler 12. Given n, return the number y of integers that divide N. For example, with ...

4 days ago

Solved

Highly divisible triangular number (inspired by Project Euler 12)

Triangular numbers can be calculated by the sum from 1 to n. For example, the first 10 triangular numbers are: 1, 3, 6, 10, ...

4 days ago

Solved

Project Euler: Problem 11, Largest product in a grid

What is the greatest product of _k_ adjacent numbers in the same direction (up, down, left, right, or diagonally) in a _n×n_ gri...

5 days ago

Solved

Duplicates

Write a function that accepts a cell array of strings and returns another cell array of strings *with only the duplicates* retai...

5 days ago

Solved

Sum of big primes without primes

Inspired by Project Euler n°10 (I am quite obviously a fan). With problem n°250 by Doug, you can find some global methods to ...

7 days ago

Solved

Sums of cubes and squares of sums

Given the positive integers 1:n, can you: 1. Compute twice the sum of the cubes of those numbers. 2. Subtract the square...

7 days ago

Solved

Genome Sequence 003R: Sequence DNA of random positioned and flipped segments

This is Challenge 003R in the series on Genome DNA Sequencing. Challenge 3R includes flipped segments. DNA Sequencing is naively...

8 days ago

Solved

Genome Sequence 003: DNA Sequence with random positioned segments

This Challenge series will evolve the complexity of Genome DNA Sequencing. DNA Sequencing and the Shot Gun Method will be naivel...

8 days ago

Solved

Genome Sequence 002: Introductory DNA Sequencing (Flipped Segments)

This Challenge series will evolve the complexity of Genome DNA Sequencing. <http://en.wikipedia.org/wiki/Genome DNA Sequencing> ...

11 days ago

Solved

Genome Sequence 001: Introductory DNA Sequencing

This Challenge series will evolve the complexity of Genome DNA Sequencing. <http://en.wikipedia.org/wiki/Genome DNA Sequencing> ...

11 days ago

Solved

Pi Estimate 1

Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>

21 days ago

Solved

Return a list sorted by number of occurrences

Given a vector x, return a vector y of the unique values in x sorted by the number of occurrences in x. Ties are resolved by a ...

22 days ago

Solved

Encode Roman Numerals

Create a function taking a non-negative integer as its parameter and returning a string containing the Roman Numeral representat...

22 days ago

Solved

Roman numbers: how old is that building?

The front of old buildings sometimes show the year when they were built in roman numbers. These number are rather confusing and ...

23 days ago

Solved

Find the logic

There exists one logic in between input and output. Find it (easy math). Example 1: x=13 then y=339; Example 2: x=26...

25 days ago

Solved

Bit calculation

Give me the count of numbers from 1 to n having their last two bits as 0. For example function y = ret_count(4) y = x...

25 days ago

Solved

Compute the sum of reciprocals of quadratics

Write a function to compute the following sum: See also Cody Problem 46000.

25 days ago

Solved

Pick the die most likely to win

After discussing Rock, Paper, Scissors, Lizard, Spock in The Simpsons and their Mathematical Secrets, Simon Singh writes that in...

1 month ago

Solved

Matrix convolution

A certain convolution step involves an elementwise multipication between two 3x3 matrices and taking the resulting sum of the el...

1 month ago

Solved

All flights lead to Idaho Falls

Using spherical trigonometry and great circle paths, determine the distance (in kilometers) and the initial flight heading (from...

1 month ago

Solved

Compute the effective conductivity of a heterogeneous aquifer

Slow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water to the gradient in piezome...

1 month ago

Solved

Compute a sum involving the totient over divisors of a number

Write a function to compute the following sum: where is the totient function. The sum is computed over the divisors of (inc...

1 month ago

Solved

Nuclear Binding Energy

Compute the approximate nuclear binding energy in MeV using the least-squares fit of the semi-emirical mass formula. Round to th...

1 month ago