PDRA at Univ of Cambridge

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Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock.

Submit your answer to this problem a multiple of 5 seconds after the hour. Your answer is irrelevant; the only thing that matte...

9 months ago

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Energy of a photon

*⚛ ☢ ⚛ ☢ ⚛ ☢ ⚛* Given the frequency F of a photon in giga hertz. Find energy E of this...

9 months 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]; ...

10 months 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...

10 months 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...

10 months 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...

10 months ago

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Is the paranthesis sequence balanced ?

Quantum mechanics and computer science are interested in <http://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation bra-kets>. Today...

10 months ago

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Morse Code Generator! Try it!

.... . .-.. .-.. --- . ...- . .-. -.-- --- -. . -.-.-- .-.. . - ... -.. --- ... --- -- . -- --...

10 months ago

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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...

10 months 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...

10 months ago

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Mersenne Primes vs. All Primes

A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...

10 months ago

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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...

10 months ago

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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...

10 months ago

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Converting binary to decimals

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

10 months ago

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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...

10 months ago

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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=...

10 months ago

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Bit Reversal

Given an unsigned integer _x_, convert it to binary with _n_ bits, reverse the order of the bits, and convert it back to an inte...

10 months ago

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Find out sum and carry of Binary adder

Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. Examples Previo...

10 months ago

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Convert given decimal number to binary number.

Convert given decimal number to binary number. Example x=10, then answer must be 1010.

10 months ago

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Trace the path of a harmful chemical in an ecological network

An ecological network consists of the cycles of nature, such as the water cycle, the carbon cycle, the oxygen cycle, etc. Due to...

10 months ago

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Squaring Matrix

Square the following matrix using matlab % A = 1 2 3 4 5 6 7 8 So new matrix should display...

10 months ago

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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...

10 months ago

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Given a square and a circle, please decide whether the square covers more area.

You know the side of a square and the diameter of a circle, please decide whether the square covers more area.

10 months ago

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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...

10 months ago

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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>

10 months ago

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Calculate area of sector

A=function(r,seta) r is radius of sector, seta is angle of sector, and A is its area. Area of sector A is defined as 0.5*(r^2...

10 months ago

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Natural numbers in string form

Create a cell array of strings containing the first n natural numbers. _Slightly_ harder than it seems like it should be. Ex...

10 months ago

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Fix the last element of a cell array

Note: this is lifted directly from <http://www.mathworks.com/matlabcentral/answers/82825-puzzler-for-a-monday Puzzler for a Mond...

10 months ago

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String Array Basics, Part 1: Convert Cell Array to String Array; No Missing Values

<http://www.mathworks.com/help/matlab/characters-and-strings.html String array> and cell array are two types of containers for s...

10 months ago