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Check Legendre's conjecture
Context and problem statement Legendre's conjecture states for a given positive integer n, there always exists at least one pri...

7 months ago

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List the complementary / symetric prime couples
Problem statement For a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n. NB : a number li...

7 months ago

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Linear primes p' = mp + n
Problem statement List the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' < k, k positive in...

7 months ago

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find powers of two
find the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n example: n = 23 result = [1 2 4 16] ...

7 months ago

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q-dimensional Cartesian product
Your mission, should you choose to accept it, is to compute a q-dimensional Cartesian product, as follows. Let the input G be an...

7 months ago

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Compute the tersum
The tersum, which appears in certain mathematical games, involves adding two numbers in base 3 without carry and converting back...

7 months ago

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Moving Movsum
Given a vector (x) and a window (y), calculate the sum s(k) corresponding to k-y(k)+1:k values of x %%Example 1 x = [1 2 3 4...

7 months ago

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Enclosure Matrix
The problem gives you a positive integer n. You need to create a matrix consisting of n layers of natural numbers; the outermost...

7 months ago

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The Classic 8-5-3 Sharing ( Medium )
You have 3 jugs with capacities [8,5,3]. The 8L jug, the others are empty: [8,0,0]. There is no tap and no drain. You can only p...

7 months ago

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Mirror Pair Mean
Given a row or column vector v, create a vector y of the same size where each element is replaced by the average of itself and i...

7 months ago

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Odd Run Sums
Given a row vector x of integers, find every maximal run of consecutive odd numbers and return a row vector containing the sum o...

7 months ago

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Center-of-Mass Index of a Vector
Given a numeric vector x, treat each element x(i) as a mass located at index i. Compute the center-of-mass index idx = sum(i *...

7 months ago

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First Unique Character
Given a character vector s, return the first character that appears exactly once in s. If every character repeats at least once...

7 months ago

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Upper vs Lower Triangle
Create an n × n matrix A such that: Elements strictly above the main diagonal are 1 Elements strictly below the main diagonal ...

7 months ago

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Container With Most Water
You are given an integer array height . There are vertical lines drawn such that the two endpoints of the ith line are (i, 1) an...

7 months ago

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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 ...

7 months ago

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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...

7 months ago

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Pose from bearing angles in 2D
A robot moving on the plane has a sensor that measures the bearing angle to two mapped landmarks, that is, the world frame coord...

7 months ago

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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...

7 months ago

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Composing relative poses in 2D: problem 1
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

7 months ago

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Relative points in 2D: problem 1
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...

7 months ago

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Relative pose 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 is a ...

7 months ago

Solved

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...

7 months ago

Solved

Relative pose in 2D: problem 1
We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

7 months ago

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Divisible by n, Composite Divisors
Pursuant to <http://www.mathworks.com/matlabcentral/cody/problems/42453-divisible-by-n-prime-vs-composite-divisors Divisible by ...

7 months ago

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Divisible by n, Truncated-number Divisors
Some divisors only require a few numbers at the end of the number in question to determine divisibility, no matter how long. Exa...

7 months ago

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Divisible by n, prime divisors (including powers)
For this problem, you will be provided an array of numbers (not necessarily in order). Return the array of numbers with only pri...

7 months ago

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Divisible by n, prime vs. composite divisors
In general, there are two types of divisibility checks; the first involves composite divisors and the second prime divisors, inc...

7 months ago

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Divisible by n, prime divisors from 20 to 200
Pursuant to the previous problem (linked below), this problem requires a function that checks for divisibility of large numbers ...

7 months ago

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Divisible by n, prime divisors - 11, 13, 17, & 19
Divisibility checks against prime numbers can all be accomplished with the same routine, applied recursively, consisting of add ...

7 months ago