However, the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way, while retaining their essential structural aspects.

Operational amplifiers had their origins in analog computers where they were used to do mathematical operations in many linear, non-linear and frequency-dependent circuits.

Plotnisky here defends Lacan's view " of imaginary numbers as an extension of the idea of rational numbers — both in the general conceptual sense, extending to its ancient mathematical and philosophical origins ... and in the sense of modern algebra.

“ Arkhitektura i mnimosti ”: The origins of Soviet avant-garde rationalist architecture in the Russian mystical-philosophical and mathematical intellectual tradition ”, a dissertation in architecture, University of Pennsylvania

A full description of the origins of the free market economics dating as far back to the conception of natural laws as mathematical, eternal and absolute — a reflection of some perfect mathematical form — derived from ancient Greek philosophers Pythagoras ( 569 – 500 BC ) and Plato, and reinvigorated by the Enlightenment is well beyond the scope of this article, but can be read on Chapter 4, A Brief Account of the Historical Origins of Economic Fundamentalism, in Dr. Lee Boldman's book ( 2007 ).

* Elizabeth C. English, “ Arkhitektura i mnimosti ”: The origins of Soviet avant-garde rationalist architecture in the Russian mystical-philosophical and mathematical intellectual tradition ”, a dissertation in architecture, 264 p., University of Pennsylvania, 2000.

It is generally thought that Jimmu's name and character evolved into their present shape just before the time in which legends about the origins of the Yamato dynasty were chronicled in the Kojiki.

Its origins can be thought to have been with the Zanclean flood of 5. 33 million years ago, described in more detail under Mediterranean basin.

According to a myth thought to be of ancient origins, Iolaus was Heracles ' charioteer and squire.

Pollock's technique of pouring and dripping paint is thought to be one of the origins of the term action painting.

The oldest preserved parts of the text are not thought to be appreciably older than around 400 BCE, though the origins of the story probably fall between the 8th and 9th centuries BCE.

The Miller and Urey experiment ( or Urey – Miller experiment ) was an experiment that simulated the conditions thought at the time to be present on the early Earth, and tested for the occurrence of chemical origins of life.

The Book of Enoch contains references to Satariel, thought also to be Sataniel and Satan ' el ( etymology dating back to Babylonian origins ).

" He was explicit about " the humanistic origins of the ‘ invisible ideal in post-modernist thought '", referencing as well the ironically dystopian Philip K. Dick novel Ubik.

Although Rococo is usually thought of as developing first in the decorative arts and interior design, its origins lie in the late Baroque architectural work of Borromini ( 1599 – 1667 ) mostly in Rome and Guarini ( 1624 – 83 ) mostly in Northern Italy but also in Vienna, Prague, Lisbon, and Paris.

Because thought underlies almost all human actions and interactions, understanding its physical and metaphysical origins, processes, and effects has been a longstanding goal of many academic disciplines including, among others, biology, philosophy, psychology, and sociology.

Humanism, however, was more of an educational reform movement with origins in the Renaissance's revival of classical learning and thought.

The two competing theories concerning the origins of reason are relevant to political and ethical thought because, according to the Aristotelian theory, a best way of living together exists independently of historical circumstances.

A panther can be any of several species of large felids: the term can refer to cougars and jaguars in the American continents but ( given the European origins of the word ) it is largely thought to define the leopard at its source.

The concept of " People's War " which is so central to Maoist thought is directly populist in its origins.

The lines of demarcation between science, magic, and religion all have origins dating to times when established thought processes were challenged.

Phantosmia can also be induced by epilepsy affecting the olfactory cortex and is also thought to possibly have psychiatric origins.

The use of the state of nature to imagine the origins of government, as by Thomas Hobbes and John Locke, may also be considered a thought experiment.

Post-Keynesian economics is a school of economic thought with its origins in The General Theory of John Maynard Keynes, although its subsequent development was influenced to a large degree by Michał Kalecki, Joan Robinson, Nicholas Kaldor and Paul Davidson.

This book has as its goal not only the elucidation of the social origins and function of religion, but also the social origins and impact of society on language and logical thought.

The game has prehistoric origins, has been played for over 3, 000 years, and is thought to be the world's fastest field team game in terms of game play.

Though later Greeks like Herodotus dated Cadmus's role in the founding myth of Thebes to well before the Trojan War ( or, in modern terms, during the Aegean Bronze Age ), this chronology conflicts with most of what is now known or thought to be known about the origins and spread of both the Phoenician and Greek alphabets.

Patrick Henry was once thought to have been of humble origins, but he was born into the middle ranks of the Virginia landed gentry.

This is normal given Orosius ’ s origins, but it can be thought of not only as patriotism but also as Hispanism.

If so, Alcuin's origins may lie in the southern part of what was formerly known as Deira.

The origins of the village lie with its harbour, where the Dour Burn enters the River Forth.

The origins of the building society as an institution lie in late-18th century Birmingham – a town which was undergoing rapid economic and physical expansion driven by a multiplicity of small metalworking firms, whose many highly skilled and prosperous owners readily invested in property.

Its origins lie in the struggle for Irish independence and the pro-Treaty side in the Irish Civil War, identifying in particular Michael Collins as the founder of the movement.

The origins of heraldry lie in the need to distinguish participants in combat when their faces were hidden by iron and steel helmets.

While the game's origins may lie elsewhere, Montreal is at the centre of the development of the modern sport of ice hockey.

The origins of this word lie in the Old Javanese and thus ultimately in the Sanskrit language.

The department's origins lie in the royal collection, but it was augmented by Napoleon's 1798 expeditionary trip with Dominique Vivant, the future director of the Louvre.

Erasmus Darwin in 1770The origins of the Lunar Society lie in a pattern of friendships that emerged in the late 1750s.

Still working for MI6, he goes on to collaborate with Pete Wisdom of MI-13 in facing the Welsh dragon, which had turned amnesiac and become a human crime lord ; Shang Chi had been told by Wisdom that the dragon ( being inherently noble ) would go free once it remembered its true origins, and was embittered to find this had been a lie.

Its origins lie in the elements of the Royal West African Frontier Force that became Nigerian when independence was granted in 1960.

The origins of philately lie in the observation that in a number of apparently similar stamps, closer examination may reveal differences in the printed design, paper, watermark, colour, perforations and other areas of the stamp.

Joel Lidov has criticized this restoration, arguing that the Doricha story is not helpful in restoring any fragment by Sappho and that its origins lie in the work of Cratinus or another of Herodotus ' comic contemporaries.

The evolutionary origins of yellow fever most likely lie in Africa.

The origins of formal wheat breeding lie in the nineteenth century, when single line varieties were created through selection of seed from a single plant noted to have desired properties.

The origins of Britpop lie primarily in the indie scene of the early 1990s, and in particular around a group of bands involved in a vibrant social scene focused in the Camden Town area of London.

Similar to Dutch, the English origins of the word lie in digging a trench and forming the upcast soil into a bank alongside it.

The modern origins of urban planning lie in the movement for urban reform that arose as a reaction against the disorder of the industrial city in the mid-19th century.

The origins of Jansenism lie in the friendship of Cornelius Jansen and Jean du Vergier de Hauranne, who met in the early 17th century when both were studying theology at the University of Leuven.

The origins of ITV lie in the passing of the Television Act 1954, designed to break the monopoly on television held by the BBC Television Service.

The origins of Quebec French actually lie in the 17th-and 18th-century regional varieties ( dialects ) of early modern French, also known as Classical French, and of other Oïl languages ( Saintongeais, Norman, Picard, etc.

Its origins lie in two local governments established at the 10 June 1949 elections: Town of the South Coast, which merged the Town of Coolangatta, Town of Southport and part of the Shire of Nerang ; and the Shire of Albert, which took in a large surrounding region.

While some enthusiasts claim the dish has been consumed since the time of the Vikings, most believe that its origins lie in the 16th-century Netherlands.