# William

Semi-retired physicist with interests in numerical modeling and mathematics.

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**Content Feed**

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-...

2 days ago

Solved

Easy Sequences 21: Combinatorial Summations

Create the function S(n), defined by the following summation: The symbol is the combination f...

2 days ago

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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...

5 days ago

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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-...

5 days ago

Solved

The perimeter of a circle

Calculate the perimeter of a circle E.g If input r(radius) = 2 , the output( the perimeter of a circle) = 12.5664.

8 days ago

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Easy Sequences 18: Set Bits of Triple Summations

The function S(n) is defined by the following triple summations: The double brackets mean that th...

9 days ago

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Easy Sequences 16: Volume of Embedded Octahedron

An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure). ...

10 days ago

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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...

12 days ago

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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 ...

13 days ago

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Number of bytes required to store a sparse matrix

The input is always a sparse matrix : x = sparse(100,1000,0.01); >>whos x shows that 8024 bytes ares required . The a...

13 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 ...

14 days ago

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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

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Convert a cell-array of values to MATLAB source code

The MATLAB interpreter loads your code and executes it using the Read-Evaluate-Print-Loop (see REPL). In this problem you will ...

17 days ago

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Modify subscripts

MATLAB supports object-oriented programming. Let's take an advantage of it in cody. This problem starts <http://uk.mathworks....

17 days ago

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List modest numbers up to n

After determining the nude numbers, or the numbers that openly display some of their divisors as their digits, one would think t...

21 days ago

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Count the ways to draw non-intersecting chords between points on a circle

There are 9 ways to draw non-intersecting chords between four points on the perimeter of a circle (including no chords at all). ...

22 days ago

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Determine whether a number is unprimeable

The number 204 is unprimeable because no single digit can be changed to make it prime. In contrast, the number 207 is not unprim...

23 days ago

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Determine whether a number is a fibodiv number

The number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequenc...

24 days ago

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Borderline Connectivity

Compute the connected components of pixel borders. Suppose that h and v together describe a logical labeling of the borders b...

24 days ago

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Find the nth nude number

The number 672 is a nude number because it openly displays three of its divisors: 6, 7, and 2. In other words, a nude number is ...

26 days ago

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Metamorphosis

Inspired by problem <http://www.mathworks.com/matlabcentral/cody/problems/866-community-problem-500 866>. Can you make your c...

27 days ago

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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 days ago

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,...

29 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...

1 month ago

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Circular Segment Area

Let us consider a circle with radius . If we draw an angle (in radians) from the center of the circle, the two radii forming th...

1 month ago

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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...

1 month ago

Solved

Easy Sequences 6: Coefficient sums of derivatives

Consider the polynomial function and its first-order derivative . The sums of the coefficients of P and P', are and , respecti...

1 month ago