(DOWNLOAD) "Translational Bounds for Factorial N and the Factorial Polynomial" by Australian Senior Mathematics Journal * Book PDF Kindle ePub Free

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eBook details

• Title: Translational Bounds for Factorial N and the Factorial Polynomial
• Author : Australian Senior Mathematics Journal
• Release Date : January 01, 2009
• Genre: Education,Books,Professional & Technical,Science & Nature,Mathematics,
• Pages : * pages
• Size : 62 KB

Description

During the period 1729-1826 Bernoulli, Euler, Goldbach and Legendre developed expressions for defining and evaluating n! and the related gamma function. Expressions related to n! and the gamma function are a common feature in computer science and engineering applications. In the modern computer age we live in now, two common tests to determine improved power of new computers are finding new large prime numbers and calculating n! for larger values of n. Therefore it is useful to know how quickly n! grows and what tight bounds exist. Polynomial bounds for n! are typically of degree n. We give below a family of bounds of degree n - k. For example

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