# 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

"mirror" matrix

Create n x 2n "mirror" matrix of this type: Examples For n = 2 m = [ 1 2 2 1 1 2 2 1 ] For n = 3 m = ...

1 month ago

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Make a Star Pyramid

Create a star pyramid. First line will have 1 star, second will have two stars and so on... a basic program which is easily done...

1 month ago

Solved

Create a Multiplication table matrix...

Create a product table in this format: P = [ 1 2 3 4 5; 2 4 6 8 10; 3 6 9 12 15; 4 8 12 1...

1 month ago

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Amazing circle of numbers 1 to n

For given natural number n, create amazing circle of numbers 1 to n without a repeat. This circle is that the sum of any two ad...

1 month ago

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Compute the Sequence of the Day

A sequence starts with 1 and 2, and each subsequent term is the sum of the digits of the product of the previous two terms. As a...

2 months ago

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Weighted Gold/Silver Standard

Building off of the <http://www.mathworks.com/matlabcentral/cody/problems/8045-gold-standard Gold Standard> and <http://www.math...

2 months ago

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Gold/Silver Standard

Pursuant to the <http://www.mathworks.com/matlabcentral/cody/problems/8045-gold-standard Gold Standard> problem, suppose that yo...

2 months ago

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, ... ...

2 months ago

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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 ...

2 months ago

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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...

2 months 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 ...

2 months 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...

2 months 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

2 months ago | 3 downloads |

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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,...

2 months 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: ...

2 months ago

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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...

2 months ago

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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...

2 months ago

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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...

2 months 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...

3 months 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,...

3 months ago

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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...

3 months 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...

3 months 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...

3 months 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...

3 months 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,...

3 months 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...

3 months 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...

3 months ago | 74 downloads |

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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 ...

3 months ago

Solved

Easy Sequences 36: Hyperbolic Lattice Points

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

3 months 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...

3 months ago