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Modern and mathematical
Modern theoretical studies involve the use of numerical computation of electronic structure and mathematical tools to understand phenomena such as high-temperature superconductivity, topological phases and gauge symmetries.
Modern group theory — a very active mathematical discipline — studies groups in their own right.
Previously, while the Monotype system, due to its flexibility, was widely used for setting mathematical formulas, the typeface Modern Series 7 was usually used for this purpose.
Modern graphics software has almost completely replaced bitwise operations with more general mathematical operations used for effects such as alpha compositing.
Modern computers and pocket calculators now generate trigonometric function values on demand, using special libraries of mathematical code.
Modern researchers have attempted to incorporate such perceptual effects into mathematical models of vision.
* Modern mathematical logic is at the list of mathematical logic topics page.
Modern stealth aircraft first became possible when Denys Overholser, a mathematician working for Lockheed Aircraft during the 1970s, adopted a mathematical model developed by Petr Ufimtsev, a Russian scientist, to develop a computer program called Echo 1.
Modern usages ( especially in the context of computer science with mathematical software such as model checkers, automated theorem provers, interactive theorem provers ) tend to retain of the notion of formula only the algebraic concept and to leave the question of well-formedness, i. e. of the concrete string representation of formulas ( using this or that symbol for connectives and quantifiers, using this or that parenthesizing convention, using Polish or infix notation, etc.
* Modern mathematical or historical research:
Modern natural law theory saw Grotius and Leibniz also putting morality prior to God's will, comparing moral truths to unchangeable mathematical truths, and engaging voluntarists like Pufendorf in philosophical controversy.
Computer Modern, or variants of it, remain very widely used in scientific publishing, especially in disciplines that make frequent use of mathematical notation.
Euclid and his Modern Rivals is a mathematical book published in 1879 by the English mathematician Charles Lutwidge Dodgson ( 1832 – 1898 ), better known as Lewis Carroll.
Modern mathematical libraries often reduce the domain into many tiny segments and use a low-degree polynomial for each segment.
In Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics ( 1936 ), Waismann argued that mathematical truths are true by convention rather than being necessarily ( or verifiably ) true.
Modern economics is indeed often regarded as a " science of prices ", where economists make mathematical models of how particular prices can be affected by other prices.
Modern applications are also found in a wide gamut of areas including ; Finite geometry, tournament scheduling, lotteries, mathematical biology, algorithm design and analysis, networking, group testing and cryptography.

Modern and cosmology
Modern cosmology developed along tandem tracks of theory and observation.
Modern metaphysical cosmology and cosmogony try to address questions such as:
Modern cosmological ideas follow the development of the scientific discipline of physical cosmology.
Modern physical cosmology as it is currently studied first emerged as a scientific discipline in the period after the Shapley – Curtis debate and discoveries by Edwin Hubble of a cosmic distance ladder when astronomers and physicists had to come to terms with a universe that was of a much larger scale than the previously assumed galactic size.
* $ 5, 000 for Proving the Earth is a Globe, Oct. 1931 article from Modern Mechanics and Inventions about Voliva and his flat earth cosmology.
In Evolution & the Modern Christian ( 1967 ), Morris hoped to " open the minds and hearts of young people to the true Biblical cosmology.
Modern cosmology now suggests that the Planck epoch may have inaugurated a period of unification or Grand unification epoch, and that symmetry breaking then quickly led to the era of cosmic inflation, the Inflationary epoch, during which the universe greatly expanded in scale over a very short period of time.
Modern cosmology is dominated by the Big Bang theory, which attempts to bring together observational astronomy and particle physics.

Modern and is
On the other hand, the bright vision of the future has been directly stated in science fiction concerned with projecting ideal societies -- science fiction, of course, is related, if sometimes distantly, to that utopian literature optimistic about science, literature whose period of greatest vigor in the late nineteenth and early twentieth centuries produced Edward Bellamy's Looking Backward and H. G. Wells's A Modern Utopia.
Modern psychology has shown that paralleling `` the authoritarian personality '' is `` the bigoted personality '' in which insecurity, inferiority, suspicion, and distrust combine to provide a target for antagonism so indispensable that it will be manufactured if it does not exist naturally.
Modern Zen presentation to the West insists on the anti-authoritarian, highly pragmatic nature of the Zen belief -- scriptures are burned to make fire, action is based on direct self-confidence, and so on.
Modern music is available in several facets: raï music is a style typical of Western Algeria with his two fiefs are Oran and Sidi Bel Abbès.
German Alpen is the accusative in origin, but was made the nominative in Modern German, whence also Alm.
: The American style is used by most American newspapers, publishing houses and style guides in the United States and Canada ( including the Modern Language Association's MLA Style Manual, the American Psychological Association's APA Publication Manual, the University of Chicago's The Chicago Manual of Style, the American Institute of Physics's AIP Style Manual, the American Medical Association's AMA Manual of Style, the American Political Science Association's APSA Style Manual, the Associated Press ' The AP Guide to Punctuation and the Canadian Public Works ' The Canadian Style ).
Modern avionics is a substantial portion of military aircraft spending.
Modern analytical chemistry is dominated by instrumental analysis.
* Modern Christians typically believe it is acceptable to play instruments or to attend weddings, funerals, banquets, etc., where instruments are heard.
Modern coastal artillery ( for example, Russia's " Bereg " system ) is often self propelled, ( allowing it to avoid counter-battery fire ) and fully integrated, meaning that each battery has all of the support systems that it requires ( maintenance, targeting radar, etc.
Aegospotami ( Αἰγὸς Ποταμοί ) or Aegospotamos ( i. e. Goat Streams ) is the ancient Greek name for a small river issuing into the Hellespont ( Modern Turkish Çanakkale Boğazı ), northeast of Sestos.
Modern figures give a proper motion of 7 arcseconds / year, distance 30 light years, so the displacement is 3 arcminutes and a half.
: The Sabbath: Its Meaning For Modern Man is a work on the nature and celebration of Shabbat, the Jewish Sabbath.
Modern advertising was created with the innovative techniques introduced with tobacco advertising in the 1920s, most significantly with the campaigns of Edward Bernays, which is often considered the founder of modern, Madison Avenue advertising.
Modern residential chargers permit the user to set the charging times, so the generator is quiet at night.
Modern Megiddo is a town approximately west-southwest of the southern tip of the Sea of Galilee in the Kishon River area.
Modern beadwork is often used as a creative hobby to create jewelry, purses, coasters, and dozens of other crafts.
Modern steal rules were fully implemented in 1898, and steals are now only credited when a runner successfully takes an extra base while the ball is being pitched, but not already hit.
It is written in English, very similar to the Early Modern English linguistic style of the King James Version of the Bible, and has since been fully or partially translated into 108 languages.
Modern Bulgarian was based essentially on the Eastern dialects of the language, but its pronunciation is in many respects a compromise between East and West Bulgarian ( see especially the phonetic sections below ).
Modern cymbals consist of several types of bronze, the most common being B20 bronze, which is roughly 20 % tin, 80 % copper, with traces of silver.
Modern usage uses a ' ten-foot ' pole, but the earliest instances in print involve a forty-foot pole, which is improbably long for operating a barge.
Modern taxonomy is rooted in the work of Carolus Linnaeus, who grouped species according to shared physical characteristics.
In Modern Irish, Oíche Bhealtaine is May Eve, and Lá Bealtaine is May Day.

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