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Pattern Recognition 2 - Known Unit Length, Various Array Length (including cell arrays)
You will be given various arrays, composed of numbers or strings, including cell arrays of strings. For this problem, the known ...

3 years ago

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Pattern Recognition 1 - Known Unit Length
You will be given various arrays, composed of numbers or strings. For this problem, the known pattern unit length is three. Writ...

3 years ago

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Twin Primes
Twin primes are pairs of primes that are immediately next to each other (difference of two). The lesser of twin primes are 3, 5,...

3 years ago

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Self-similarity 3 - Every other pair of terms
Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. Se...

3 years ago

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Self-similarity 1 - Every other term
Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. Se...

3 years ago

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Self-similarity 2 - Every third term
Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. Se...

3 years ago

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Mobius function
From wikipedia: For any positive integer n, define μ(n) as the sum of the primitive n-th roots of unity. It has values in {−1, ...

3 years ago

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Not square-free number sequence
Not square-free numbers are all positive integers divisible by a square greater than one: 4, 8, 9, 12, 16, 18, 20, 24, 25, 27, ....

3 years ago

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Sphenic number sequence
Sphenic numbers are positive integers that are products of three distinct prime numbers: 30, 42, 66, 70, 78, 102, 105, 110, 114,...

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Monte-Carlo integration
Write a function that estimates a d-dimensional integral to at least 1% relative precision. Inputs: * d: positive integer....

3 years ago

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Reproduce this plot!
Write a function that will take a dataset (x,y), a best fit model (model), and the upper and lower prediction bounds (lb,ub) for...

3 years ago

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Power Outages Histogram
Create a function that takes power outage data as an input and creates a histogram of the number of outages as a function of Reg...

3 years 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. ...

3 years ago

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Find the next prime number
Find the next prime number or numbers for given n. For example: n = 1; out = 2; or n = [5 7]; out = [7 11]; ...

3 years ago

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Make a vector of prime numbers
Input(n) - length of vector with prime numbers Output(v) - vector of prime numbers Example: * n=1; v=2 * n=3; v=[2 3 5...

3 years ago

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Largest Twin Primes
<http://en.wikipedia.org/wiki/Twin_prime Twin primes> are primes p1, p2 = p1 + 2 such that both p1 and p2 are prime numbers. Giv...

3 years ago

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Mersenne Primes
A Mersenne prime is a prime number of the form M = 2^p - 1, where p is another prime number. For example, 31 is a Mersenne prim...

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Find nearest prime number less than input number
Find nearest prime number less than input number. For example: if the input number is 125, then the nearest prime number whi...

3 years ago

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Sophie Germain prime
In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

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Circular Primes (based on Project Euler, problem 35)
The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime. The...

3 years ago

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Easy Sequences 5: Project Euler Problem 1 - Again!
We are all familiar with Project Euler Problem 1. This time let's try it on bigger multiples and larger range. Find the sum of ...

3 years ago

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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,...

3 years 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...

3 years ago

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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...

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Alternating sum
Given vector x, calculate the alternating sum y = x(1) - x(2) + x(3) - x(4) + ...

3 years ago

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Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)
Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the P...

3 years ago

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"Look and say" sequence
What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...

3 years ago

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Sum the Infinite Series
Given that 0 < x and x < 2*pi where x is in radians, write a function [c,s] = infinite_series(x); that returns with the...

3 years ago

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Golomb's self-describing sequence (based on Euler 341)
The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G...

3 years ago

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