# 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

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:...

17 hours ago

Solved

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...

1 day ago

Solved

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.

5 days ago

Solved

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...

5 days ago

Solved

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...

6 days ago

Solved

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...

6 days ago

Solved

Special matrix

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

6 days ago

Solved

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 ...

6 days ago

Solved

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; ...

7 days ago

Solved

Pascal's Matrix

Given an integer n ≥ 0, generate the ( _n_+1) × ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...

7 days ago

Solved

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-...

8 days ago

Solved

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...

9 days ago

Solved

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-...

11 days ago

Solved

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...

12 days ago

Solved

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...

12 days ago

Solved

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 ...

14 days ago

Solved

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...

16 days ago

Solved

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 ...

17 days ago

Solved

Identify Wagstaff primes

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

18 days ago

Solved

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 ...

19 days ago

Solved

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...

20 days ago

Solved

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...

21 days ago

Solved

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...

22 days ago

Solved

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...

23 days ago

Solved

Easy Sequences 8: Triangles with integer sides and prime perimeters

The triangle below is special. It has integer sides and a prime perimeter. Given an integer "n" we want to know how many t...

23 days ago

Solved

Easy Sequences 4: Eliminate the Days of Confusion

If a date is written in purely numeric format some dates can be confusing, if we don't know the date format used. For example, "...

24 days ago

Solved

Spherical surface triangulation

Create a triangulation of a spherical surface with approximately-uniform coverage http://www.alfnie.com/software/print_sphere...

30 days ago

Solved

Reduce the logic

We have three logical input, x,y and z. The output is: y = ((x&y)|z)&((z|x&y)|(z&y|x))|((x&z)|z)&((y|x&z)|(z&x|y))|(x|y|z) ...

1 month ago

Solved

How many complete pizzas (number 2)

x is a vector with numbers of pizza slices. A corresponding vector n indicates in how many slices the pizza slices of x were cut...

1 month ago

Solved

make histogram

You probably know the function hist(x,n) to get the histogram. Now try to write the function yourself! For the cheaters wanting...

1 month ago