Community Profile # Are Mjaavatten

Last seen: Today 2015 以来アクティブ

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

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

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日 前

Easy Sequences 38: Prime Number Delta
The Prime Number Theorem states that: where is the prime counting function (number of pri...

3日 前

Easy Sequences 30: Nearly Pythagorean Triangles
A Nearly Pythagorean Triangle (abbreviated as "NPT'), is an integer-sided triangle whose square of the longest side, which we wi...

13日 前

Easy Sequences 33: Web Trapped Ant
An ant is trapped on a spider web inside a can with open top. The can has a radius and height . A spider sitting on the outside...

15日 前

Easy Sequences 24: Number of Coprime Lattice Points
Given a number 'n', you were tasked to mark and count all coprime lattice points at the first quadrant bounded by the points (0,...

18日 前

Easy Sequences 22: Sum of Proper Fractions
Let 'F' be the set of all proper fractions in lowest term, whose denominator is less than or equal 'd'. So, for d = 10, we have:...

20日 前

Easy Sequences 26: Prime-Integer Line Segments
At the first quadrant in the -plane, you are asked to construct a line segment with the following specifications: Select a prim...

21日 前

Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.

24日 前

Make a logical diamond using GALLERY function
Inspired from <http://www.mathworks.com/matlabcentral/cody/problems/1078-make-a-diamond Problem 1078. Make a diamond> In thi...

24日 前

The Piggy Bank Problem
Given a cylindrical piggy bank with radius g and height y, return the bank's volume. [ g is first input argument.] Bonus though...

25日 前

Make a diamond
Given n, odd number > 1, return n by n matrix consist of "null" and "*" characters arranged like a diamond. No toolbox funct...

25日 前

Special matrix
Make a square matrix with this shape. For n=4 M = 1 1 0 0 1 0 1 0 0 1 0 ...

25日 前

Create Volcano (or Atoll) martix. It is an extension of Bullseye matrix problem.
For example, if n=2 (maximum value), the output matrix should be [1 1 1 1 1; 1 2 2 2 1; 1 2 1 2 1; 1 2 2 2 1; 1 1 ...

25日 前

Mirror Image matrix across anti-diagonal
Given an input number x, create a mirror image matrix 'Y' across the anti-diagonal. For example, if x=3, Y = [1 2 3; ...

26日 前

Pascal's Matrix
Given an integer n &ge; 0, generate the ( _n_+1) &times; ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...

26日 前

Easy Sequences 20: Counting Prime-sided Rectangles
A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-...

27日 前

Easy Sequences 11: Factorial Digits without Trailing Zeros
Here is an easy one... It is not difficult to count the number of digits of the factorial of a given number. For example for 'n...

28日 前

Easy Sequences 19: Length of Prime-sided Rectangle with Maximum Area
A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-...

Construct a prime circle
A <https://mathworld.wolfram.com/PrimeCircle.html prime circle> is a circular arrangement of the numbers 1 to 2n such that pairs...

Multiply binary numbers
Write a function to multiply two binary numbers input as strings. For example, input values of ‘1011’ and ‘101’ should give ’110...

List the Moran numbers
The quotient of a Moran number and its digit sum is prime. For example, 117 and 481 are Moran numbers because 117/(1+1+7) is 13 ...

Pi Digit Probability
Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...

Easy Sequences 13: Average Speed of Spaceship
A certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ...

Identify Wagstaff primes
The numbers 3, 43, and 2731 are examples of <https://mathworld.wolfram.com/WagstaffPrime.html Wagstaff primes>. Write a func...

Count the primes in Collatz sequences
Several Cody problems (21, 69, 42937, 44448, 44784, 52422) involve Collatz sequences. These start with a seed . If is odd, the ...

Easy Sequences 12: 50th Prime
Write a function that outputs the 50th prime after a given number. For example, the 50th prime after 500 is 829. NOTE: If 'n' i...

Easy Sequences 1: Find the index of an element
The nth element of a series A is defined by: . Obviously, the first element A(1) = 1. Given the nth element 'A(n)', find the val...

Easy Sequences 2: Trigonometric function with integral input and output
The function 'F', defined as: , will always return an integer if the input is a natural number (in radian...

Easy Sequences 9: Faithful Pairs
A "faithful number" is a non-prime number that is one less or one more than some prime number but not both. For example, for num...