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It is decidable whether a given grammar is a regular grammar, [f] as well as whether it is an LL grammar for a given k≥0. [26]: 233 If k is not given, the latter problem is undecidable. [26]: 252 Given a context-free grammar, it is not decidable whether its language is regular, [27] nor whether it is an LL(k) language for a given k.
A class of languages is closed under a particular operation when the operation, applied to languages in the class, always produces a language in the same class again. For instance, the context-free languages are known to be closed under union, concatenation, and intersection with regular languages, but not closed under intersection or complement.
American English dictionaries such as Merriam-Webster, [9] Dictionary.com's Random House Webster's Unabridged Dictionary [10] and the American Heritage Dictionary [11] as well as the British Oxford English Dictionary [4] and the Australian Macquarie Dictionary [12] all include a sense in their entries for acronym equating it with initialism ...
Any real number can be written in the form m × 10 ^ n in many ways: for example, 350 can be written as 3.5 × 10 2 or 35 × 10 1 or 350 × 10 0. In normalized scientific notation (called "standard form" in the United Kingdom), the exponent n is chosen so that the absolute value of m remains at least one but less than ten ( 1 ≤ | m | < 10 ).
The apparent plural form in English goes back to the Latin neuter plural mathematica , based on the Greek plural ta mathēmatiká (τὰ μαθηματικά) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the noun mathematics anew, after the pattern of ...
This is an accepted version of this page This is the latest accepted revision, reviewed on 26 January 2025. Family of Unix-like operating systems This article is about the family of operating systems. For the kernel, see Linux kernel. For other uses, see Linux (disambiguation). Operating system Linux Tux the penguin, the mascot of Linux Developer Community contributors, Linus Torvalds Written ...
A class action lawsuit filed on April 20, 2001, accused Cisco of making misleading statements that "were relied on by purchasers of Cisco stock" and of insider trading. [195] While Cisco denied all allegations in the suit, on August 18, 2006, Cisco's liability insurers, its directors and officers paid the plaintiffs US$91.75 million to settle ...
His solution held the record as the fastest version for over 30 years, and its successor is faster by only 2%. [29] His solution was formalized and published in collaboration with Harvard computer scientist Christos Papadimitriou. [30] Gates remained in contact with Paul Allen and joined him at Honeywell during the summer of 1974. [31]