Donald Knuth

Donald Ervin Knuth (/kəˈnuːθ/kə-NOOTH; born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University.

He is the author of the multi-volume work The Art of Computer Programming. Knuth has been called the "father of the analysis of algorithms". He contributed to the development of the rigorous analysis of the computational complexity of algorithms and systematized formal mathematical techniques for it. In the process he also popularized the asymptotic notation. In addition to fundamental contributions in several branches of theoretical computer science, Knuth is the creator of the TeX computer typesetting system, the related METAFONT font definition language and rendering system, and the Computer Modern family of typefaces.

As a writer and scholar, Knuth created the WEB and CWEB computer programming systems designed to encourage and facilitate literate programming, and designed the MIX/MMIX instruction set architectures. As a member of the academic and scientific community, Knuth is strongly opposed to the policy of granting software patents. He has expressed his disagreement directly to both the United States Patent and Trademark Office and European Patent Organization.

Computer programming

Computer programming (often shortened to programming) is a process that leads from an original formulation of a computing problem to executable computer programs. Programming involves activities such as analysis, developing understanding, generating algorithms, verification of requirements of algorithms including their correctness and resources consumption, and implementation (commonly referred to as coding) of algorithms in a target programming language. Source code is written in one or more programming languages. The purpose of programming is to find a sequence of instructions that will automate performing a specific task or solving a given problem. The process of programming thus often requires expertise in many different subjects, including knowledge of the application domain, specialized algorithms and formal logic.

Related tasks include testing, debugging, and maintaining the source code, implementation of the build system, and management of derived artifacts such as machine code of computer programs. These might be considered part of the programming process, but often the term software development is used for this larger process with the term programming, implementation, or coding reserved for the actual writing of source code. Software engineering combines engineering techniques with software development practices.

The Art of Computer Programming

The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.

Knuth began the project, originally conceived as a single book with twelve chapters, in 1962. The first three volumes of what was then expected to be a seven-volume set were published in 1968, 1969, and 1973. The first installment of Volume 4 (a paperback fascicle) was published in 2005. The hardback Volume 4A, combining Volume 4, Fasicles 0-4, was published in 2011. Additional fascicle installments are planned for release approximately biannually; Volume 4, Fascicle 6 ("Satisfiability") was released in December 2015.

History

After winning a Westinghouse Talent Search scholarship, Knuth enrolled at the Case Institute of Technology (now Case Western Reserve University), where his performance was so outstanding that the faculty voted to award him a master of science upon his completion of the baccalaureate degree. During his summer vacations, Knuth was hired to write compilers, earning more in his summer months than full professors did for an entire year. Such exploits made Knuth a topic of discussion among the mathematics department, which included Richard S. Varga.

The Art

The Art (sometimes stylised as THEART) are an Australian Alternative Rock band based in Sydney. They began performing under the name The Follow in 2004. Tasmanian band leader Azaria Byrne was known as an unsuccessful contestant on the reality television series Popstars.

Early highlights for the band's career have been supporting successful bands such as the Pixies, Marilyn Manson, Nine Inch Nails, Sonic Youth and Thirty Seconds to Mars as late as 2010, however this was marred by the crowd booing and calls to "get off the stage".

As band leader Azaria Byrne enters middle age success has so far eluded him despite media attention resulting from his being cuckolded by the even older fading celebrity Bill Corgan.

The other band members have all been described as "dull" but this could also be a result of the attention seeking behavior of their singer.

Members

References

Surreal number

In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share many properties with the reals, including a total order ≤ and the usual arithmetic operations (addition, subtraction, multiplication, and division); as such, they form an ordered field. (Strictly speaking, the surreals are not a set, but a proper class.) If formulated in Von Neumann–Bernays–Gödel set theory, the surreal numbers are the largest possible ordered field; all other ordered fields, such as the rationals, the reals, the rational functions, the Levi-Civita field, the superreal numbers, and the hyperreal numbers, can be realized as subfields of the surreals. It has also been shown (in Von Neumann–Bernays–Gödel set theory) that the maximal class hyperreal field is isomorphic to the maximal class surreal field; in theories without the axiom of global choice, this need not be the case, and in such theories it is not necessarily true that the surreals are the largest ordered field. The surreals also contain all transfinite ordinal numbers; the arithmetic on them is given by the natural operations.