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Easy Sequences 56: Counting "Ugly" Numbers
A positive integer is called a regular number, if and only if there exist a non-negative integer , such that . For some reason...

2 Tage vor

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Find neighbor triangle indices
First input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corre...

2 Tage vor

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Build edges list
Input T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vert...

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List every vertices neighbor indices
Input T is a triangulation. The purpose of this function is to query at once the cell array N of all vertex neighbor indices......

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Remove duplicated vertices
First input V_in is a vertices list (X Y Z coordinates) which may contain duplicata (identical rows). Second input T_in is the ...

2 Tage vor

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Easy Sequences 60: Almost Cube Root
The almost cube root of an integer , is the largest possible integer , such that and . For example , then , since and since th...

2 Tage vor

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Easy Sequences 59: Almost Twin Primes
A positive integer pair , is called an "almost twin prime pair", if one of the pair is a prime and the other is either a prime o...

2 Tage vor

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Parse me a Lisp
*Description* In Lisp and its variants, function calls are done using parenthesis where the first item in the parenthesis is ...

2 Tage vor

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Easy Sequences 57: "Pretty-gorean" Triangles?
A positive integer is called a regular number, if and only if there exist a non-negative integer , such that . For some reason...

2 Tage vor

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An asteroid and a spacecraft
&#128640 Imagine a non-relativistic simple situation. Assume positions p0, p1, p2, and p3 are three dimensional Cartesian ...

2 Tage vor

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Is this a valid Tic Tac Toe State?
For the game of <https://en.wikipedia.org/wiki/Tic-tac-toe Tic Tac Toe> we will be storing the state of the game in a matrix M. ...

2 Tage vor

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5th Time's a Charm
Write a function that will return the input value. However, your function must fail the first four times, only functioning prope...

2 Tage vor

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Easy Sequences 53: Greatest Proper Divisor
The greatest proper divisor () of an integer is the largest integer , such that and . Furthermore, we define: . Below is the...

2 Tage vor

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The 5th Root
Write a function to find the 5th root of a number. It sounds easy, but the typical functions are not allowed (see the test su...

2 Tage vor

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Easy Sequences 51: Positive Gaussian Primes
A Gaussian Prime is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units...

2 Tage vor

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Sums of Distinct Powers
You will be given three numbers: base, nstart, and nend. Write a MATLAB script that will compute the sum of a sequence of both ...

2 Tage vor

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Digit concentration in Champernowne's constant
Consider the first 50 digits of Champernowne's constant 0.12345678910111213141516171819202122232425262728293... The...

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Acid and water
⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ Assume that there is a 100 liter tank. It is initially fi...

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Easy Sequences 54: Product of Products of Proper Divisors
A divisor of a number that is less than the number is called a "proper divisor". For a given positive integer , we are asked t...

2 Tage vor

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Easy Sequences 52: Non-squarable Rectangles
Any integer-sided rectangle can be cut into unit rectangles () and rearranged into sets of smaller rectangles. For example the ...

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Easy Sequences 50: Blocked Gaussian Integers
A Gaussian Integer is a complex number whose real and imaginary parts are both integers. A gaussian integer is said to be bloc...

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Composing relative poses in 2D: problem 2
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

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Relative points in 2D: problem 3
The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

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Pose interpolation in 2D
Consider two poses represented by homogeneous transformation matrices: |T1| and |T2|. Write an algorithm to interpolate between...

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Castling-03
Given the position of different chess pieces on the chessboard, figure out whether castling is valid or not in the next move (wh...

2 Tage vor

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Relative points in 2D: problem 2
The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A lan...

2 Tage vor

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Checkmate-02
This is an extension of the problem <https://www.mathworks.com/matlabcentral/cody/problems/45238-checkmate> If the king is in...

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Checkmate
* The positions of different chess pieces are given in a cell *p* . * The position of the king is given as *x* Determine i...

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Queen's move - 02
In continuation with the problem-45236 ... In the previous problem, it was assumed that there were no other chess pieces on th...

2 Tage vor

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Twists in 2D
So far we have represented the pose of an object in the plane using a homogeneous transformation, a 3x3 matrix belonging to the ...

2 Tage vor