William

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

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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...

19 hours ago

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Sum
Sum 1 and 2

4 days ago

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Output the sum of all the odd integers
Example: x = [ 1 2 3 4 5 6 7 8 9 ] y = 25

11 days ago

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Easy Sequences 34: Modified Pascal's Triangle
Consider the integer triangle below: It follows the same ...

15 days ago

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Poly2mask, drawpolygon or patch
Recently, I tried to plot a polygon in matlab, and I found there is a lot of embedded function that can be used. However, some f...

15 days ago

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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...

17 days ago

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Godfather or Goodfather
Recently, I watched the movie called the Godfather. In my opinoin, Vito Corleone is not just a godfather, he is also a good fat...

19 days ago

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Easy Sequences 31: N-N's Sequence
We define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein a appears ...

20 days ago

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

20 days ago

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Easy Sequences 28: Sum of Radicals of Integers
The radical of a positive integer is defined as the product of the distinct prime numbers dividing . For example, the distinct ...

21 days ago

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Easy Sequences 27: Product of Radicals of Integers
The radical of a positive integer is defined as the product of the distinct prime numbers dividing . For example, the distinct ...

21 days ago

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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...

22 days ago

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Plotting Practice
Plot cos(x) vs x as shown in the figure below. Include the appropriate title, x-label, and y-label. Note, it is case sensitive. ...

22 days ago

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Easy Sequences 25: Product of Series
The function 'P(n)' is defined as the series product: where 'T(n)' is the triangular sum: ...

23 days ago

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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 the the points (0...

24 days ago

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Easy Sequences 23: Hat Guessing Game!
Consider the following Game Show: Hats, with numbers written on each, were placed on the heads of the participants. Participant...

24 days ago

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25 days ago

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Convert vector datasets to plot with imagesc instead of scatter
For large datasets this allows much faster plotting. An irregular 2D spatial sampling is provided in x and y vectors with a d...

25 days ago

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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-...

29 days ago

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Easy Sequences 21: Combinatorial Summations
Create the function S(n), defined by the following summation: The symbol is the combination f...

29 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...

1 month ago

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Thank!
. Thank all.

1 month 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-...

1 month ago

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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.

1 month 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...

1 month ago

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Free points!
Products of all elements in x. eg. x = [1 2 3 4 5]; y = 120;

1 month 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). ...

1 month 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...

1 month 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 ...

1 month 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...

1 month ago

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