# 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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Solved

Return fibonacci sequence do not use loop and condition version 2

Calculate the nth Fibonacci number,return sequence Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... ...

6 days ago

Solved

Gold Standard

Gold has long been used as currency and a standard for currency, due to its inherent value and rarity. Historical data for gold ...

6 days ago

Solved

Pattern Recognition 3 - Variable Unit and Array Length (including cell arrays)

You will be given various arrays, composed of numbers or strings, including cell arrays of strings. For this problem, the patter...

7 days ago

Solved

Pattern Recognition 2 - Known Unit Length, Various Array Length (including cell arrays)

You will be given various arrays, composed of numbers or strings, including cell arrays of strings. For this problem, the known ...

7 days ago

Solved

Easy Sequences 15: Pythagorean Area with maximum Hypotenuse

A pythagorean triangle is defined as a right triangle with all three sides having integer lengths. Examples of pythogorean trian...

9 days ago

Submitted

Identify convex and concave parts of polygon

c = convex([x,y]) c = 1 where the polygon curves toward the interior c = -1 where the polygon curves outwards

14 days ago | 6 downloads |

Solved

Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence

The function F(n) is defined as the set of Fibonacci numbers from the first up to the n-th. S(n) is the result of applying to F,...

16 days ago

Solved

Easy Sequences 25: Product of Series

The function 'P(n)' is defined as the series product: where 'T(n)' is the triangular sum: ...

16 days ago

Solved

Break it up! Break it up!

You have N pennies. Write a Matlab script that will reveal how many different ways you can break up those pennies. For example...

16 days ago

Solved

Easy Sequences 37: Natural Factorable Polynomials

A polynomial of the form: , for , is said to be natural factorable if it can be factored into products of first degree binomials...

16 days ago

Solved

Easy Sequences 47: Boxes with Prime Edges

This is related to problem "Easy Sequences 41: Boxes with Integer Edges". However, here we will be investigating a smaller-sized...

17 days ago

Solved

Pattern Recognition 1 - Known Unit Length

You will be given various arrays, composed of numbers or strings. For this problem, the known pattern unit length is three. Writ...

20 days ago

Solved

Twin Primes

Twin primes are pairs of primes that are immediately next to each other (difference of two). The lesser of twin primes are 3, 5,...

20 days ago

Solved

Self-similarity 3 - Every other pair of terms

Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. Se...

20 days ago

Solved

Self-similarity 2 - Every third term

Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. Se...

20 days ago

Solved

Self-similarity 1 - Every other term

Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. Se...

20 days ago

Solved

Mobius function

From <http://en.wikipedia.org/wiki/Möbius_function wikipedia>: For any positive integer n, define μ(n) as the sum of the prim...

21 days ago

Solved

Not square-free number sequence

<http://oeis.org/A013929 Not square-free numbers> are all positive integers divisible by a square greater than one: 4, 8, 9, 12,...

21 days ago

Solved

Sphenic number sequence

<http://oeis.org/A007304 Sphenic numbers> are positive integers that are products of three distinct prime numbers: 30, 42, 66, 7...

22 days ago

Submitted

Curvature of a 1D curve in a 2D or 3D space

Calculates the local radius of curvature as well as the cumulative arc length and the curvature vector along a 1D curve in 2D or...

22 days ago | 84 downloads |

Solved

Easy Sequences 3: Prime 44-number Squares

The positive integers 62 and 238 are related. Their squares (3844 and 56,644) both end in '44'. In fact, 62 and 238 are the 3rd ...

27 days ago

Solved

Easy Sequences 36: Hyperbolic Lattice Points

The graph, shown below, of the hyperbola: , passes through four positive lattice points:. ...

29 days 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...

1 month ago

Solved

Decimation

When dealing to the Roman Army, the term decimate meant that the entire unit would be broken up into groups of ten soldiers, and...

1 month ago

Solved

Easy Sequences 41: Boxes with Integer Edges

For this problem, we are asked to write a function that will count the number of boxes with integer edges, that has the same giv...

1 month ago

Solved

Easy Sequences 39: Perfect Squares in Pascal's Triangle

Consider the 2nd, 3rd and 4th diagonals of the Pascal's Triangle, shown highlighted below: ...

1 month ago

Solved

Easy Sequences 40: Quadratic Congruence

Quadratic Congruence is a modular equation of the form: . In this exercise you will be given a vector containing the coefficie...

2 months ago

Solved

Compute the largest number whose prime factors sum to n

This problem deals with a sequence whose tenth term is 36 because the prime factors of 36 (2, 2, 3, 3) sum to 10. The number 32 ...

2 months ago

Solved

Easy Sequences 38: Prime Number Delta

The Prime Number Theorem states that: where is the prime counting function (number of pri...

2 months ago

Solved

List the cuban primes

The number 61 is a cuban prime because it is prime and the difference two cubes, 64 and 125. Write a function to list the cuba...

2 months ago