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Easy Sequences 35: Cutting a donut to Semi-prime pieces

The figure below illustrates how a torus (donut shape) can be cut in pieces with only cuts: ...

2 months ago

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Easy Sequences 36: Hyperbolic Lattice Points

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

2 months 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

2 months ago

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Easy Sequences 34: Modified Pascal's Triangle

Consider the integer triangle below: It follows the same ...

2 months 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...

2 months 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...

2 months 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...

2 months 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 ...

2 months 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 ...

2 months 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 ...

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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 ...

2 months 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...

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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. ...

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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: ...

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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...

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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...

2 months ago

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A SUBSREF variant that accepts the 'end'-operator.

Unfortunately, Matlab's |subsref| function does not support the |end| -operator. The |end| -operator is a powerfull method to re...

2 months 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...

2 months 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-...

3 months 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...

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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...

3 months 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-...

3 months 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.

3 months 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...

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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). ...

3 months 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...

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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 ...

3 months 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...

3 months ago