منابع مشابه
Computational Divided Differencing and Divided-Difference Arithmetics
Tools for computational differentiation transform a program that computes a numerical function F(x) into a related program that computes F ′(x) (the derivative of F). This paper describes how techniques similar to those used in computational-differentiation tools can be used to implement other program transformations—in particular, a variety of transformations for computational divided differen...
متن کاملDivided Differences
Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences. “It belongs to the most beautiful I have been able to do.”[Newton 1676]
متن کاملHouse Divided
In the prophetic words of Abraham Lincoln in addressing the antebellum Nation, " A house divided against itself cannot stand. " As physicians, we too live in a house divided. We factionalize along lines of specialty, practice size, practice location, ethnicity, etc. As emergency physicians, we are among the most egregious in splintering the House of Medicine. We have subdivided our small young ...
متن کاملUnified China and Divided Europe
This paper studies the causes and consequences of political centralization and fragmentation in China and Europe. We argue that the severe and unidirectional threat of external invasion fostered political centralization in China while Europe faced a wider variety of smaller external threats and remained politically fragmented. We test our hypothesis using data on the frequency of nomadic attack...
متن کاملA divided difference expansion of a divided difference
A divided difference expansion with remainder for a general divided difference is derived that contains Floater’s recent derivative expansion as a special case. key words divided difference, univariate, remainder, interpolation
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nature
سال: 1979
ISSN: 0028-0836,1476-4687
DOI: 10.1038/280350a0