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Are Mjaavatten


Last seen: 16 days ago

Mjaavatten Consulting

331 total contributions since 2015

I have a MSc in physics from the University of Oslo and a PhD in control engineering from NTNU in Trondheim (mainly modelling, I am not much of a control engineer). My main interests are mathematical modelling, numerical methods, and thermodynamics. I worked in the petroleum and chemical process industries for some 35 years and I am now semi-retired

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test_derivatives
Tool to test analytical against numerical derivatives.

1 month ago | 3 downloads |

Solved


Project Euler: Problem 6, Natural numbers, squares and sums.
The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

1 month ago

Solved


Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.

1 month ago

Solved


Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)
Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the P...

1 month ago

Answered
Increasing precision of second order boundary value problem
Your asymptotic expansion solution seems to have zero slope at y = 0. This implies that the second derivative is zero and the s...

1 month ago | 0

Solved


Place wastewater treatment processes in the correct order
There are many technologies for treating wastewater. For example, grit chambers are used to remove heavy solids, filtration is u...

1 month ago

Solved


Maximize the production in a plant within equipment capacity
The goal of a certain manufacturing company is to maximize its production of goods per day. In the production flow, there is a s...

1 month ago

Solved


Trace the path of a harmful chemical in an ecological network
An ecological network consists of the cycles of nature, such as the water cycle, the carbon cycle, the oxygen cycle, etc. Due to...

1 month ago

Solved


Count the number of reaction chains achievable in T mins
This problem is related to Problem <45467>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...

2 months ago

Solved


Find the fastest reaction chain to reach a target compound
This problem is related to Problem <45470>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...

2 months ago

Solved


List the households affected by leaks in water distribution
Consider the following water distribution network, where water is pumped uni-directionally from left to right: 8...

2 months ago

Solved


Design a minimum-cost cable network for a power grid
You are given the 2-D point locations ( _xi_ , _yi_ ) of *N* _components_ of a power grid. These _components_ include power sour...

2 months ago

Solved


Propagate the effects of a blockage in a chemical plant
From the perspective of flow, a chemical plant can be described by a collection of _nodes_ and _edges_. _Nodes_ are points where...

2 months ago

Solved


Pitting corrosion on a metal plate: Find the largest pit
You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

2 months ago

Solved


Pitting corrosion on a metal plate: Count the number of pits
You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

2 months ago

Solved


Better Index Number
Let's say you want to save many, many files and append these files with a certain sortable index number. As you probably know, y...

2 months ago

Solved


Smallest n, for n! to have m trailing zero digits
For given positive integer n, its factorial often has many trailing zeros, in other words many factors of 10s. In order for n! t...

2 months ago

Solved


Whole Number Un-Concatenator
Write a function that accepts an integer and an index digit and returns a vector containing two integers which are the leading a...

2 months ago

Solved


Whole Number Concatenator
Write a function that concatenates whole numbers. For example: numcat(111,222) should return 111222 numcat(1,2,3,4,5) s...

2 months ago

Solved


The number of trailing zero digit of a factorial
For given positive integer n, take factorial of that number. How many trailing zeros does it have? Example: factorial(11) = 3...

2 months ago

Solved


The last non-zero digit of a factorial
For given positive integer n, what is the last non-zero digit of n!? Example: factorial(11) = 39916800 Last non-zero d...

2 months ago

Solved


Permutation Via Multiplication
Given two numbers a and b, determine if the product ab is a permutation of the digits of a. For example, this is always true for...

2 months ago

Solved


Lunar Arithmetic (Multiplication)
<https://oeis.org/A087061 OEIS link for a description of lunar arithmetic> Simply take the larger digit when adding and take ...

2 months ago

Solved


Lunar Arithmetic (Addition)
<https://oeis.org/A087061 OEIS link for a description of lunar arithmetic> Simply take the larger digit. Example 1: ...

2 months ago

Solved


Muphry's Law of MATLAB
You're running some simple multiplication problems through MATLAB for error checking purposes, but nothing seems to come up with...

2 months ago

Solved


Convert from Base 10 to base 5
Convert the input number from base 10 into base 5: for example: if a(in base 10)= 5 then a(in base 5)= 10

2 months ago

Solved


Expand 10^n to Powers of 4
Given an integer n, return the coefficients c = [c_n,c_n-1,...,c_0] Such that 10^n = c_n*4^(n) + c_n-1*4^(n-1...

2 months ago

Solved


Numbers on 7-segment
This is a 7-segment: _ |_| |_| It's a 3-by-3 char matrix.It has made by 3 characters: '_' , '|' and ' ' (space...

2 months ago

Solved


Pattern Sum
Write a function which receives two single digit positive integers, (k and m) as parameters and calculates the total sum as: k...

2 months ago

Solved


Still more miles to go before I sleep
It's time for more odometer fun. Last problem, my car's odometer hit 56789. It's coming up on 111111 now, which (barring a maj...

2 months ago

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