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The Euler–Maclaurin formula provides expressions for the difference between the sum and the integral in terms of the higher derivatives f(k)(x) evaluated at the endpoints of the interval, that is to say x = m and x = n . Explicitly, for p a positive integer and a function f(x) that is p times continuously differentiable on the interval [m,n ...
Box office. $2.320 billion [4] [5] Avatar: The Way of Water is a 2022 American epic science fiction film directed and co-produced by James Cameron, who co-wrote the screenplay with Rick Jaffa and Amanda Silver from a story the trio wrote with Josh Friedman and Shane Salerno. Distributed by 20th Century Studios, it is the sequel to Avatar (2009 ...
In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealisation of real-life furniture-moving problems and asks for the rigid two-dimensional shape of largest area that can be maneuvered through an L-shaped planar region with legs of unit width. [1] The area thus obtained is referred to as the sofa constant.
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS. It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA). Excel forms part of the Microsoft 365 suite of software.
macOS. The history of macOS, Apple 's current Mac operating system formerly named Mac OS X until 2011 and then OS X until 2016, began with the company's project to replace its "classic" Mac OS. That system, up to and including its final release Mac OS 9, was a direct descendant of the operating system Apple had used in its Mac computers since ...
Mac OS X succeeded classic Mac OS, the primary Macintosh operating system from 1984 to 2001. Its underlying architecture came from NeXT 's NeXTSTEP, as a result of Apple's acquisition of NeXT, which also brought Steve Jobs back to Apple. The first desktop version, Mac OS X 10.0, was released on March 24, 2001.
Child pornography is illegal in most countries, but there is substantial variation in definitions, categories, penalties, and interpretations of laws. Differences include the definition of "child" under the laws, which can vary with the age of sexual consent; the definition of "child pornography" itself, for example on the basis of medium or degree of reality; and which actions are criminal (e ...
Miley Ray Cyrus (/ ˈ m aɪ l i ˈ s aɪ r ə s / MY-lee SY-rəs; born Destiny Hope Cyrus on November 23, 1992) is an American singer, songwriter, and actress. Regarded as a pop icon, Cyrus has been recognized for her evolving artistry and style, having been named as the "Teen Queen" of the 2000s.