Solved

Padovan Polynomials
Hello there. I'm afraid I bear bad news - Anakin Skywalker is no longer a Jedi. But fear not young Padawan, we shall not falter...

15 days ago

Solved

Stirling Numbers - I
Problems #1388 & #45187 deal with Stirling numbers of the 2nd Kind. Here, generate the Stirling numbers S(n,k) of the 1st kind ...

15 days ago

Solved

Touchard Polynomial
Return the coefficients of nth (n>=0) Touchard polynomials - T1(x) = x; output = [1 0]; T2(x) = x^2 + x; output = [1 1 0]...

15 days ago

Solved

Bernstein Basis Polynomials
Return the coefficients of a Bernstein Basis Polynomial B(v,n) for degree n and order v - %Examples B(2, 5) = 10*x^2*(1-x)...

15 days ago

Solved

Dickson Polynomials
Return the coefficients of nth (n>=0) Dickson polynomial of the 1st kind as follows - 1st row of the output will be the coeffi...

15 days ago

Solved

Hermite Polynomials
Problem 1304 deals with Hermite polynomial of the physicist's type. In this problem, Return the n-th Hermite polynomial of the ...

15 days ago

Solved

Generate Bernoulli polynomials
The Bernoulli polynomial is a polynomial of order with the properties that and for , where the prime denotes differentiat...

15 days ago

Solved

Cyclotomic Polynomials
Given a Natural number (N), return the corresponding Cyclotomic Polynomial.

16 days ago

Solved

Nuemann Polynomials
Return the coefficients of nth (n>=0) Nuemann polynomial, (a sequence in 1/t) as polynomials in alpha. The expected output is a...

16 days ago

Solved

Logistic map
The sequence defined by x_n = 4*r*x_{n-1}*(1-x_{n-1}) and a given 0 < x_1 < 1 turns each x_n into a polynomial of r. Write a fu...

16 days ago

Solved

fractal circles
Create a fractal with circles using the same process as the Sierpinski triangle (https://en.wikipedia.org/wiki/Sierpinski_trian...

17 days ago

Solved

Disjunctive Normal Form
This problem is the companion to Problem <http://www.mathworks.com/matlabcentral/cody/problems/1484 1484>. In Boolean logic, a f...

17 days ago

Solved

Compute the area of a Q
A figure resembling a Q (as in “quadrature”) is constructed in the following way: A right triangle is drawn with the left vertex...

17 days ago

Solved

Compute a sum involving the zeta function
Write a function to compute the sum for , where is the zeta function, the subject of Cody Problems 45939, 45988, and 45997.

17 days ago

Solved

Integrate a power tower
Write a function to compute this integral where . That is, the integrand is (x to the x) to the (x to the x) to the (x to the...

17 days ago

Solved

Count block fountains
A block fountain consists of rows of circles in which each row is a continuous block of circles (i.e., adjacent circles are tang...

17 days ago

Solved

Integrate a product of gamma functions
Write a function to compute the following integral: where and is the gamma function, the subject of Cody Problem 46025.

17 days ago

Solved

List the nth term of Rozhenko’s inventory sequence
Consider a sequence constructed by repeated inventories. A new inventory begins each time a zero is encountered. The first few i...

17 days ago

Solved

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...

17 days ago

Solved

Integer Persistence, Product
Let's construct a sequence as follows: is a given natural number, and is the product of the digits of . The persistence of i...

18 days ago

Solved

Functional inputs
Return an n-dimensional array whose elements are the results of a function over a set of vectors. The (i,j,k, ...n)th element...

18 days ago

Solved

Solve for factorial of X
It gives you the number x, and set y equal to x factorial. Ex. There are 52 cards in a deck, each specific order of all 52 car...

18 days ago

Solved

Calculate Drag Force
Write a MATLAB function to compute the drag force on an object moving through air: where: D is drag force (N) ρ is air de...

18 days ago

Solved

String count
given a string 'str', count the number of the followings - * letters * digits * white space * capital letters * smal...

18 days ago

Solved

Rotate a matrix without using rot90
rotate the input square matrix by certain degrees (e.g. 270 or 450 etc.) without using rot90 or flip function. its an extension...

18 days ago

Solved

another bullseye
create matrix like below -- for x=2, y=[1 1 1 1 1; 1 2 2 2 1; 1 2 3...

18 days ago

Solved

What time can I drive after drinking?
At T o'clock, after a hard day of Matlab, I immediately start drinking and treat myself to N pints of tasty beer. Each beer I dr...

18 days ago

Solved

Seperate array to small section according to its index position
Given a integer n, we can generate a sequence [0,1,2,3,4,..., 2^n-1], then we separate it to two sequence according to their ind...

18 days ago

Solved

AK Sorting according to given order
Conventional ascending order of one digit number is [ 0, 1, 2, ......9]. Now this order is changed and stored in vector a. For e...

18 days ago

Solved

En passant - 01
This is white's turn. The player moves his pawn. The pawn's previous and current positions are given. Determine whether th...

18 days ago