Risultati di ricerca
4 giorni fa · Bessel generating functions. Peter Andreas Hansen (1795--1874), a German astronomer, was the first who discovered in 1843 the generating function for the Bessel functions of the first kind: ex(z−1/z)/2 = ∑n=−∞∞ znJn(x) e x ( z − 1 / z) / 2 = ∑ n = − ∞ ∞ z n J n ( x) Hansen became director of the Seeberg Observatory, near ...
4 giorni fa · FTC chair: AI models could violate antitrust laws. File – Lina Khan, then a nominee for Commissioner of the Federal Trade Commission (FTC), speaks during a hearing, April 21, 2021 in Washington ...
6 giorni fa · Similarly, if f is an even function, then its Legendre series contains only even indexed polynomials. For any integer m, we can expand a smooth function into series with respect to associated Legendre functions. f(x) = ∑n≥manPmn (x), an =(n + 1 2) (n − m)! (n + m)! ∫1 −1 f(x)Pmn (x)dx, n = 0, 1, 2, …. (11) (11) f ( x) = ∑ n ≥ m ...
6 giorni fa · Teammates celebrate a Jordan Roessler (23) of Bishop Eustace goal at Bishop Eustace Preparatory School, in Pennsauken, NJ on Monday, April 8, 2024.
4 giorni fa · Made for New York: Juan Soto's elite skills are worthy of a long-term commitment. SAN DIEGO – Juan Soto would be a big hit in New York, no question. Just ask Pat Roessler, who could naturally ...
5 giorni fa · We convert the pendulum equation with resistance. mℓ2¨θ + c˙θ + mgℓsinθ = 0. to a system of two first order equations by letting x = θ and y = ˙θ: dx dt = y, dy dt = − ω2sinx − γy. Here γ = c / (mℓ), ω2 = g / ℓ are positive constants. Therefore, the above system of differential equations is autonomous.
