A sophomore student at UET-VNU

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There are 10 types of people in the world

Those who know binary, and those who don't. The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...

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Relative ratio of "1" in binary number

Input(n) is positive integer number Output(r) is (number of "1" in binary input) / (number of bits). Example: * n=0; r=...

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Check that number is whole number

Check that number is whole number Say x=15, then answer is 1. x=15.2 , then answer is 0. <http://en.wikipedia.org/wiki/Whole...

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MATLAB Basic: rounding IV

Do rounding towards plus infinity. Example: -8.8, answer -8 +8.1 answer 9 +8.50 answer 9

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MATLAB Basic: rounding II

Do rounding nearest integer. Example: -8.8, answer -9 +8.1 answer 8 +8.50 answer 9

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MATLAB Basic: rounding III

Do rounding towards minus infinity. Example: -8.8, answer -9 +8.1 answer 8 +8.50 answer 8

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Project Euler: Problem 7, Nth prime

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the Nth prime nu...

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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...

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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...

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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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Multiples of a Number in a Given Range

Given an integer factor _f_ and a range defined by _xlow_ and _xhigh_ inclusive, return a vector of the multiples of _f_ that fa...

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Numbers with prime factors 2, 3 and 5.

Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

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Pi Digit Probability

Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...

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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]; ...

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Pi Estimate 1

Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>

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Factorize THIS, buddy

List the prime factors for the input number, in decreasing order. List each factor only once, even if the factorization includes...

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Smith numbers

Return true if the input is a Smith number in base ten. Otherwise, return false. Read about Smith numbers at <http://en.wikipedi...

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Project Euler: Problem 3, Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

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Is the Point in a Triangle?

Check whether a point or multiple points is/are in a triangle with three corners Points = [x, y]; Triangle = [x1, y1; x...

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Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

If _p_ is the perimeter of a right angle triangle with integral length sides, { _a_, _b_, _c_ }, there are exactly three solutio...

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Calculate the centroid of a triangle

Info: https://en.wikipedia.org/wiki/Centroid Example Input: x = [0 0 1]; % x-coordinate y = [0 1 0]; % y-coordinat...

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Find my daddy long leg (No 's')

Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.

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Height of a right-angled triangle

Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...

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Find the sides of an isosceles triangle when given its area and height from its base to apex

Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and ...

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Can we make a triangle?

Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...

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Approximation of Pi

Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given numbe...

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Find the longest sequence of 1's in a binary sequence.

Given a string such as s = '011110010000000100010111' find the length of the longest string of consecutive 1's. In this examp...

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Binary code (array)

Write a function which calculates the binary code of a number 'n' and gives the result as an array(vector). Example: Inpu...

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Binary numbers

Given a positive, scalar integer n, create a (2^n)-by-n double-precision matrix containing the binary numbers from 0 through 2^n...

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Converting binary to decimals

Convert binary to decimals. Example: 010111 = 23. 110000 = 48.

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