Modern mathematics defines an " elliptic integral " as any function which can be expressed in the form

Modern engineering as it is understood today took form during the scientific revolution, though much of the mathematics and science was built on the work of the Greeks, Egyptians, Mesopotamians, Chinese, Indians and Muslims.

Modern usages in mathematics did evolve from a unifying theme, but this may be difficult to recognize.

Whitehead's metaphysical views, which he called process philosophy emerged in The Concept of Nature ( 1920 ) and were expanded in Science and the Modern World ( 1925 ), also an important study in the history of ideas and the role of science and mathematics in the rise of Western civilization.

Some simpler Metafont fonts, such as the calligraphic mathematics fonts in the Computer Modern family, use a single pen stroke with a relatively large pen to define each visual " stroke " of the glyphs.

Modern languages and mathematics remained optional.

Modern mathematics needs to be precise, because ambiguous notations do not allow formal proofs.

As a mathematics educator, Dodgson defended the use of Euclid's Elements as a geometry textbook ; Euclid and his Modern Rivals is a criticism of a reform movement in geometry education lead by the Association for the Improvement of Geometrical Teaching.

He then became a mathematics teacher at Stoke Secondary Modern Boys School, Coventry where he had earned the nickname of ' Jumbo ' amongst the pupils on account of his heavy build.

Concepts of Modern Mathematics is a 1975 book by mathematician and science popularizer Ian Stewart about recent developments in mathematics.

The book arose out of an extramural class that Ian Stewart taught at the University of Warwick about " New math " ( called " Modern mathematics " in the UK ).

Whittaker is remembered as the author of A Course of Modern Analysis ( 1902 ), which in its 1915 second edition in collaboration with George Neville Watson became Whittaker and Watson, one of the handful of mathematics texts of its era to become indispensable.

Modern analysis is a vast and rapidly expanding branch of mathematics that touches almost every other subdivision of the discipline, finding direct and indirect applications in topics as diverse as number theory, cryptography, and abstract algebra.

Modern mathematics can obtain the area using the methods of integral calculus or its more sophisticated offspring, real analysis however the area of circles was studied by the Ancient Greeks.

Modern scholars derive his name from the Luwian compound Priya-muwa -, which means " exceptionally courageous ".

Modern geological analysis of the entire field, apparently, supports an exceptionally old age for Lake Zaysan.

Modern scholars have found little evidence as to whether the marriage was a happy one, but the pair had a considerable number of children in a short space of time, and Philip was exceptionally generous to Joan by the standards of the day.

Modern webbing is typically made from exceptionally high-strength material, and is used in automobile seat belts, furniture manufacturing, transportation, towing, military apparel, cargo fasteners, and many other fields.

Modern Pueblo oral traditions hold that the Pueblo originated to the north of their current settlements, from sipapu, where they emerged from the underworld.

Alexander I ( c. 1078 – 23 April 1124 ), also called Alaxandair mac Maíl Coluim ( Modern Gaelic: Alasdair mac Mhaol Chaluim ) and nicknamed " The Fierce ", was King of the Scots from 1107 to his death.

Alexander II ( Mediaeval Gaelic: Alaxandair mac Uilliam ; Modern Gaelic: Alasdair mac Uilleim ) ( 24 August 1198 – 6 July 1249 ) was King of Scots from

Alexander III ( Medieval Gaelic: Alaxandair mac Alaxandair ; Modern Gaelic: Alasdair mac Alasdair ) ( 4 September 1241 – 19 March 1286 ) was King of Scots from 1249 to his death.

Modern Anah lies from west to east on the right bank along a bend of the river just before it turns south towards Hit, and presents an attractive appearance.

Modern IFVs are well-armed infantry carriers, differencing from earlier APCs by their heavier armament allowing them to give direct-fire support during an assault.

** Early Modern Britain, Britain from the Tudor period, from 1485 to 1707

* Modern Bulgarian – dates from the 16th century onwards, undergoing general grammar and syntax changes in the 18th and 19th centuries.

The historical development of the Bulgarian language can be described as a transition from a highly synthetic language ( Old Bulgarian ) to a typical analytic language ( Modern Bulgarian ) with Middle Bulgarian as a midpoint in this transition.

Modern boomerangs used for sport are often made from carbon fibre-reinforced plastics, thin aircraft plywood, or other high-tech materials.

Dryden: " The rest in shape a beagle's whelp throughout, With broader forehead and a sharper snout " The Cock and the Fox, and again: " About her feet were little beagles seen " in Palamon and Arcite both from Fables, Ancient and Modern ( 1700 )

Modern historians have proposed wide ranging numbers for the infantry, from 20, 000 – 100, 000 with a consensus of perhaps 25, 000 ; estimates for the cavalry are in the range of 1, 000.

Modern Christian churches tend to be much more concerned with how humanity can be saved from a universal condition of sin and death than the question of how both Jews and Gentiles can be in God's family.

The language became recognizable as Modern Khmer, spoken from the 19th century till today.

Modern microprocessors appear in everything from automobiles to cell phones and children's toys.

Modern structural concrete differs from Roman concrete in two important details.

Modern research has located 20, 000 mass graves from the Khmer Rouge era all over Cambodia.

* Spence, Jonathan D. The Search for Modern China ( 1999 ), 876pp ; well written survey from 1644 to 1990s excerpt and text search ; complete edition online at Questia

* Spence, Jonathan D. The Search for Modern China ( 1991 ), 876pp ; well written survey from 1644 to 1980s excerpt and text search ; complete edition online

Modern societies generally regard crimes as offences against the public or the state, as distinguished from torts ( wrongs against private parties that can give rise to a civil cause of action ).

The glossing was probably brought to England as Old French crimne ( 12th century form of Modern French crime ), from Latin crimen ( in the genitive case: criminis ).

Modern calculations in quantum chemistry usually start from ( but ultimately go far beyond ) a molecular orbital rather than a valence bond approach, not because of any intrinsic superiority in the former but rather because the MO approach is more readily adapted to numerical computations.

Examples of cognates in Indo-European languages are the words night ( English ), nuit ( French ), Nacht ( German ), nacht ( Dutch ), nag ( Afrikaans ), nicht ( Scots ), natt ( Swedish, Norwegian ), nat ( Danish ), nátt ( Faroese ), nótt ( Icelandic ), noc ( Czech, Slovak, Polish ), ночь, noch ( Russian ), ноќ, noć ( Macedonian ), нощ, nosht ( Bulgarian ), ніч, nich ( Ukrainian ), ноч, noch / noč ( Belarusian ), noč ( Slovene ), noć ( Serbo-Croatian ), νύξ, nyx ( Ancient Greek, νύχτα / nyhta in Modern Greek ), nox ( Latin ), nakt-( Sanskrit ), natë ( Albanian ), noche ( Spanish ), nos ( Welsh ), nueche ( Asturian ), noite ( Portuguese and Galician ), notte ( Italian ), nit ( Catalan ), noapte ( Romanian ), nakts ( Latvian ) and naktis ( Lithuanian ), all meaning " night " and derived from the Proto-Indo-European ( PIE ), " night ".