Handbook Of Mathematical Functions With Formulas, Graphs, And Mathematical Tables
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Handbook Of Mathematical Functions With Formulas, Graphs, And Mathematical Tables
''Abramowitz and Stegun'' (''AS'') is the informal name of a 1964 mathematical reference work edited by Milton Abramowitz and Irene Stegun of the United States National Bureau of Standards (NBS), now the ''National Institute of Standards and Technology'' (NIST). Its full title is ''Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables''. A digital successor to the Handbook was released as the "Digital Library of Mathematical Functions" (DLMF) on 11 May 2010, along with a printed version, the ''NIST Handbook of Mathematical Functions'', published by Cambridge University Press. Overview Since it was first published in 1964, the 1046 page ''Handbook'' has been one of the most comprehensive sources of information on special functions, containing definitions, identities, approximations, plots, and tables of values of numerous functions used in virtually all fields of applied mathematics. The notation used in the ''Handbook'' is the ''de facto'' standard f ...
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Common Logarithm
In mathematics, the common logarithm is the logarithm with base 10. It is also known as the decadic logarithm and as the decimal logarithm, named after its base, or Briggsian logarithm, after Henry Briggs, an English mathematician who pioneered its use, as well as standard logarithm. Historically, it was known as ''logarithmus decimalis'' or ''logarithmus decadis''. It is indicated by , , or sometimes with a capital (however, this notation is ambiguous, since it can also mean the complex natural logarithmic multi-valued function). On calculators, it is printed as "log", but mathematicians usually mean natural logarithm (logarithm with base e ≈ 2.71828) rather than common logarithm when they write "log". To mitigate this ambiguity, the ISO 80000 specification recommends that should be written , and should be . Before the early 1970s, handheld electronic calculators were not available, and mechanical calculators capable of multiplication were bulky, expensive and not widely ...
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Federal Government Of The United States
The federal government of the United States (U.S. federal government or U.S. government) is the national government of the United States, a federal republic located primarily in North America, composed of 50 states, a city within a federal district (the city of Washington in the District of Columbia, where most of the federal government is based), five major self-governing territories and several island possessions. The federal government, sometimes simply referred to as Washington, is composed of three distinct branches: legislative, executive, and judicial, whose powers are vested by the U.S. Constitution in the Congress, the president and the federal courts, respectively. The powers and duties of these branches are further defined by acts of Congress, including the creation of executive departments and courts inferior to the Supreme Court. Naming The full name of the republic is "United States of America". No other name appears in the Constitution, and this i ...
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Rubber Book
The ''CRC Handbook of Chemistry and Physics'' is a comprehensive one-volume reference resource for science research. First published in 1914, it is currently () in its 103rd edition, published in 2022. It is sometimes nicknamed the "Rubber Bible" or the "Rubber Book", as CRC originally stood for "Chemical Rubber Company". As late as the 1962–1963 edition (3604 pages) the ''Handbook'' contained myriad information for every branch of science and engineering. Sections in that edition include: Mathematics, Properties and Physical Constants, Chemical Tables, Properties of Matter, Heat, Hygrometric and Barometric Tables, Sound, Quantities and Units, and Miscellaneous. Earlier editions included sections such as "Antidotes of Poisons", "Rules for Naming Organic Compounds", "Surface Tension of Fused Salts", "Percent Composition of Anti-Freeze Solutions", "Spark-gap Voltages", "Greek Alphabet", "Musical Scales", "Pigments and Dyes", "Comparison of Tons and Pounds", "Twist Drill and St ...
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Numerical Analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living ce ...
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Works Progress Administration
The Works Progress Administration (WPA; renamed in 1939 as the Work Projects Administration) was an American New Deal agency that employed millions of jobseekers (mostly men who were not formally educated) to carry out public works projects, including the construction of public buildings and roads. It was set up on May 6, 1935, by presidential order, as a key part of the Second New Deal. The WPA's first appropriation in 1935 was $4.9 billion (about $15 per person in the U.S., around 6.7 percent of the 1935 GDP). Headed by Harry Hopkins, the WPA supplied paid jobs to the unemployed during the Great Depression in the United States, while building up the public infrastructure of the US, such as parks, schools, and roads. Most of the jobs were in construction, building more than 620,000 miles (1,000,000 km) of streets and over 10,000 bridges, in addition to many airports and much housing. The largest single project of the WPA was the Tennessee Valley Authority. At its peak ...
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Mathematical Tables Project
The Mathematical Tables Project was one of the largest and most sophisticated computing organizations that operated prior to the invention of the digital electronic computer. Begun in the United States in 1938 as a project of the Works Progress Administration (WPA), it employed 450 unemployed clerks to tabulate higher mathematical functions, such as exponential functions, logarithms, and trigonometric functions. These tables were eventually published in a 28-volume set by Columbia University Press. History The group was led by a group of mathematicians and physicists, most of whom had been unable to find professional work during the Great Depression. The mathematical leader was Gertrude Blanch, who had just finished her doctorate in mathematics at Cornell University. She had been unable to find a university position and was working at a photographic company before joining the project. The administrative director was Arnold Lowan, who had a degree in physics from Columbia University ...
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Scientific Pocket Calculator
A scientific calculator is an electronic calculator, either desktop or handheld, designed to perform mathematical operations. They have completely replaced slide rules and are used in both educational and professional settings. In some areas of study scientific calculators have been replaced by graphing calculators and financial calculators which have the capabilities of a scientific calculator along with the capability to graph input data. Functions When scientific calculators were originally marketed they normally had only four of five capabilities (addition, subtraction, multiplication, division and square root). Modern scientific calculators generally have many more capabilities than the original four or five function calculator, and the capabilities differ between manufacturers and models. The capabilities of a modern scientific calculator include: * scientific notation * floating-point decimal arithmetic * logarithmic functions, using both base 10 and base e * ...
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Verlag Harri Deutsch
The (VHD, HD) with headquarters in Frankfurt am Main, Germany, as well as in Zürich and Thun, Switzerland, was a German publishing house founded in 1961 and closed in 2013. Overview The ' with headquarters in Frankfurt am Main, Germany, was a German publishing house founded by Harri Deutsch in 1961 as a spin-off of the scientific bookstore Fachbuchhandlung Harri Deutsch (FHD), which had existed for about a decade earlier. Both were situated near Goethe-Universität Frankfurt am Main. Between 1963 and about 1979 the publisher also had an office in Zürich. Around 1974 another branch was opened in Thun. The company's activities focussed mostly on textbooks and encyclopedic works in the areas of mathematics, physics, chemistry and other sciences and technologies, in the first three decades in particular titles licensed from publishers of the former Eastern Bloc including the East-German publishers Edition Leipzig, , Akademie Verlag, VEB Bibliographisches Institut, VEB Verlag ...
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Johann Rafelski
Johann Rafelski (born 19 May 1950) is a German-American theoretical physicist. He is professor of Physics at The University of Arizona in Tucson, guest scientist at CERN (Geneva), and has been LMU-Excellent Guest Professor at the Ludwig Maximilian University of Munich in Munich, Germany. Rafelski's current research interests center around investigation of the vacuum structure of QCD and QED in the presence of strong fields; study of the QCD vacuum structure and deconfinement with strange particle production in deconfined quark–gluon plasma formed in relativistic heavy ion collisions; the formation of matter out of quark–gluon plasma in the hadronization process, also in the early Universe; considering antimatter formation and annihilation. He has also contributed to the physics of table top muon-catalyzed fusion and the ascent of ultrashort laser light pulses as a new tool in this domain of physics. He contributed to understanding of neural nets and artificial intelligence ...
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Michael Danos
Michael may refer to: People * Michael (given name), a given name * Michael (surname), including a list of people with the surname Michael Given name "Michael" * Michael (archangel), ''first'' of God's archangels in the Jewish, Christian and Islamic religions * Michael (bishop elect), English 13th-century Bishop of Hereford elect * Michael (Khoroshy) (1885–1977), cleric of the Ukrainian Orthodox Church of Canada * Michael Donnellan (1915–1985), Irish-born London fashion designer, often referred to simply as "Michael" * Michael (footballer, born 1982), Brazilian footballer * Michael (footballer, born 1983), Brazilian footballer * Michael (footballer, born 1993), Brazilian footballer * Michael (footballer, born February 1996), Brazilian footballer * Michael (footballer, born March 1996), Brazilian footballer * Michael (footballer, born 1999), Brazilian footballer Rulers =Byzantine emperors= *Michael I Rangabe (d. 844), married the daughter of Emperor Nikephoros ...
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Errata
An erratum or corrigendum (plurals: errata, corrigenda) (comes from la, errata corrige) is a correction of a published text. As a general rule, publishers issue an erratum for a production error (i.e., an error introduced during the publishing process) and a corrigendum for an author's error. It is usually bound into the back of a book, but for a single error a slip of paper detailing a corrigendum may be bound in before or after the page on which the error appears. An erratum may also be issued shortly after its original text is published. Etymology Corrigendum is the gerundive form of the Latin compound verb ''corrigo -rexi -rectum'' (from the verb ''rego'', "to make straight, rule", plus the preposition ''cum'', "with"), "to correct", and thus signifiesassuming the full form has added to it the verb ''sum'' or parts thereof, changing the meaning to the idea of necessity or compulsion "(those things) which must be corrected" and in its single form ''Corrigendum'' it means "(that ...
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Print Run
Print circulation is the average number of copies of a publication. The number of copies of a non-periodical publication (such as a book) are usually called print run. Circulation is not always the same as copies sold, often called paid circulation, since some issues are distributed without cost to the reader. Readership figures are usually higher than circulation figures because of the assumption that a typical copy is read by more than one person. Concept Print circulation is a good proxy measure of print readership and is thus one of the principal factors used to set print advertising rates (prices). In many countries, circulations are audited by independent bodies such as the Audit Bureau of Circulations to assure advertisers that a given newspaper does reach the number of people claimed by the publisher. There are international open access directories such as ''Mondo Times'', but these generally rely on numbers reported by newspapers themselves. World newspapers with th ...
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