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Determine digits of the Copeland-Erdos constant

<https://www.mathworks.com/matlabcentral/cody/problems/1477-champernowne-constant/solutions/new Cody Problem 1477> asks us to de...

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Pixel density

<https://en.wikipedia.org/wiki/Pixel_density Pixel density> tells us how many pixels we can find within a unit of length. And a...

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Compute Khinchin's constant

Khinchin's constant K_0 = 2.684542001... (also written "Khintchine's constant") has the amazing property that it is the limiting...

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Estimate pi from certain values of the zeta function

Cody Problems <https://www.mathworks.com/matlabcentral/cody/problems/2908-approximation-of-pi 2908> and <https://www.mathworks.c...

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Compute the harmonic numbers

The nth <https://mathworld.wolfram.com/HarmonicNumber.html harmonic number> is defined as the sum of the reciprocals of the inte...

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Evaluate the incomplete elliptic integrals

Elliptic integrals can be used to evaluate integrals whose integrands have the form R(x,sqrt(P(x))), where R(x,y) is a rational ...

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Find the position of planet in solarsystem

Write a funtion named *nthplanet* which takes name of the planet as input string and provides the position of the planet, starti...

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What is the current time in Darwin, Australia?

Traders need to track exchange calendars and trading hours in detail, and account for time zone differences and daylight savings...

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Investigate the frequency of last digits of prime numbers

The last digit of a prime number greater than 5 can be 1, 3, 7, or 9. If the primes are distributed randomly, then these digits ...

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Evaluate the zeta function for real arguments > 1

The <https://en.wikipedia.org/wiki/Riemann_zeta_function Riemann zeta function> is important in number theory. In particular, th...

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Flag a convertible string

If a string is able to be entirely converted to an integer, return a "true" flag. Otherwise, return a false flag. For example: ...

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Compute the perimeter of an ellipse

While the area of an ellipse is straightforward to compute, the perimeter (or circumference) is more complicated. The perimeter ...

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Compute the Bernoulli numbers

The <https://en.wikipedia.org/wiki/Bernoulli_number Bernoulli numbers> appear in several applications in number theory, includin...

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Evaluate the Struve function

The <https://en.wikipedia.org/wiki/Struve_function Struve function> *H*_a(x) is a solution to an inhomogeneous form of Bessel's ...

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How to locate the position of an element in a vector without using the find function

(copy of prob 105 with test for find function) Write a function posX = *locatePos* (x,y) which returns the location o...

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Vector of digits (★★)

Given a positive integer x, construct a vector y with all the digits of x in the order of appearance in x. Thus, if x = 172...

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Function minimization - global minimum

Sequel of problem 45951 <https://www.mathworks.com/matlabcentral/cody/problems/45951> Can you do even better, within the r...

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Compute the nth Pythagorean prime

Pythagorean primes have the form p = 4n+1, where n is an integer, and they can be written as the sum of squares of two integers....

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Function minimization - beat fminsearch!

Sequel of problem 45948 <https://www.mathworks.com/matlabcentral/cody/problems/45948-function-minimization-beat-fminbnd> M...

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Function minimization - beat fminbnd!

Matlab's fminbnd function finds a minimizer of a function within an interval. If often gets stuck in local minima. Can you do...

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Set the Euler-Mascheroni constant with an identity using available MATLAB functions

Cody Problem <https://www.mathworks.com/matlabcentral/cody/problems/42826 42826> asked us to estimate the <https://en.wikipedia....

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counting sequence

A counting sequence is formed by "counting" the entries in a given sequence.

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sumdigits

function [p1,p2] = goldbach(n) for p1 = 1:n if isprime(p1) p2 = n - p1; if isprime(p2) re...

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Upstairs!

The stair has n steps. Every times you can up one or two steps. Give all the different solutions to upstairs. For example n ...

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Sum of terms in a series 1 (★★★)

Given x and n, compute the following sum: |x|+|x|^(1/2)+|x|^(1/3)+|x|^(1/4)+|x|^(1/5) ... + |x|^(1/n) where ||x|| indica...

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