Complexity Theory - Cryptograp essays

Complexity Theory - Cryptograp essays One important, yet practical, application of complexity theory is cryptography. It has become one of the main tools for privacy, trust, electronic payments, and other forms of security. It is no longer just a military tool and the advantages it provides should be used to the fullest extent. This paper will discuss basic terminology and popular methods of cryptography. Cryptography is the science of scrambling text so that no one can read it except for the intended recipient. The art of breaking ciphers without the proper key is called cryptanalysis. Cryptography deals with the secure message, digital signatures, authentication, and other similar applications. Cryptology is the branch of mathematics that studies the foundation of cryptographic methods. The process of transforming plaintext into a form that is meaningless to anyone that might intercept it is called encryption. The process of decoding the message is called decryption. This can be done by using an encryption algorithm, a decryption algorithm, and a secret or private key. The sender uses the encryption algorithm to encode the message, and the receiver uses the decryption algorithm and the key to decode the message. A third party intercepting the encoded message will have worthless data unless they can figure out the decryption algorithm and obtain a key. To best ensure that the key is kept safely out of the hands of the third party it is never to be sent with the encoded message. The study of cryptography dates back thousands of years to the hieroglyphs of early Egyptian civilization. Cryptography has been used by such figures as Julius Caesar, Charlemagne, Louis XIV and Mary Queen of Scots. More recently, Alan Turing, the inventor of the Turing machine, led a group of British mathematicians who broke the German code used in World War II for sending instructions to U-boats patrolling the Atlantic Ocean. One of the simplest cryptographic algorithms ever ...

Introducing Examples

Introducing Examples Introducing Examples Introducing Examples By Maeve Maddox A reader has asked me about my use of the abbreviation Ex. Does [Ex.] mean for example? Ive only known one abbreviation and thats eg. If that is the case can you please explain where eg came from? Sometimes I use Ex. to mean â€Å"for example† or â€Å"an example.† Sometimes I spell out â€Å"for example.† And when I’m feeling academic, I use e.g. to introduce a list of examples. E.g. is an abbreviation of the Latin phrase exempli gratia, â€Å"for the sake of example.† In US usage, a comma always follows the abbreviation, but in British usage, a comma after e.g. is optional. In this article, e.g. is written in italics because I’m writing about it. In normal use, the abbreviation is written in roman type: e.g. In the old days, before handy Latin shortcuts were perceived as â€Å"elitist and discriminatory, â€Å"writers threw in e.g. without restriction. Nowadays, style guides impose limitations. The Chicago Manual of Style advises that if e.g. is used in â€Å"running text,† it should be â€Å"confined to parentheses or notes.† Writing in 1926, Fowler (Modern English Usage) didn’t put any restrictions on the use of e.g., but in 1965, his editor, Ernest Gowers, added this advice: [The abbreviation e.g.] should be reserved for footnotes or very concise writing; in open prose it is better to write â€Å"for example.† The most unkindest cut of all regarding the use of e.g. and its ilk came to my attention in 2008 when I read an article in the London Telegraph about a movement in Britain to purge English of such long-established Latin shortcuts: Local authorities have ordered employees to stop using [Latin terms] on documents and when communicating with members of the public and to rely on wordier alternatives instead. The terms to be dropped in official documents included bona fide, ad lib, etc., ad hoc, i.e., per se, quid pro quo, vice versa, via, and status quo. Among the replacement recommendations were â€Å"existing condition† or â€Å"state of things† for status quo, and â€Å"for this special purpose† in place of ad hoc. Here’s the rationale offered by Bournemouth Council: Not everyone knows Latin. Many readers do not have English as their first language so using Latin can be particularly difficult. ESL learners shouldn’t have more difficulty than Latinless native speakers when it comes to learning the traditional Latin shortcuts. All they have to do is look them up in an English dictionary. However, we live in an age that bows before ignorance. Governing authorities and schools seem to feel that eliminating â€Å"hard words† is more desirable than taking the trouble to teach them. As for my use of the abbreviations e.g. and Ex., the only time I choose e.g. is in running text to introduce a short list of things or people to illustrate a concept: I especially love the nineteenth-century novelists, e.g., Herman Melville, Mrs. Gaskill, and George Eliot. And I don’t always put the e.g. bit in parentheses. Related post: The Difference Between e.g. and i.e.? Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Style category, check our popular posts, or choose a related post below:10 Rules for Writing Numbers and Numerals11 Writing Exercises to Inspire You and Strengthen Your WritingWriting a Thank You Note