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Find nth triangular number.
Calculate the triangular number of given integer n.

4ヶ月前

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Breaking straight lines
Let P be a point in Oxy plane and let p be a 1×2 array representing an one-degree or zero-degree polynomials, if its first entry...

4ヶ月前

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Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

4ヶ月前

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Shapiro Polynomials
Given an order n, return the coefficients of 1st Shapiro polynomials Pn(x) - %Example P1(x) = x + 1 => Output = [1 1]; P...

4ヶ月前

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Rooky Towers
You are wandering and as you realise something's off, you find yourself lost in a peculiar place - Over a giant field which is ...

4ヶ月前

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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...

4ヶ月前

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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 ...

4ヶ月前

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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]...

4ヶ月前

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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)...

4ヶ月前

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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...

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

4ヶ月前

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

4ヶ月前

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

4ヶ月前

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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...

4ヶ月前

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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...

4ヶ月前

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

4ヶ月前

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

4ヶ月前

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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...

4ヶ月前

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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.

4ヶ月前

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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...

4ヶ月前

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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...

4ヶ月前

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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.

4ヶ月前

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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...

4ヶ月前

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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...

4ヶ月前

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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...

4ヶ月前

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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...

4ヶ月前

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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...

4ヶ月前

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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...

4ヶ月前

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

4ヶ月前

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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...

4ヶ月前