For it had turned out, by a further paradox of Cubism, that the means to an illusion of depth and plasticity had now become widely divergent from the means of representation or imaging.

For that reason, the elements of an array data structure are required to have the same size and should use the same data representation.

For example, the pelican, which was believed to tear open its breast to bring its young to life with its own blood, was a living representation of Jesus.

For the first time since 1912, the territory has direct representation.

For the mathematical definition, see Decimal representation.

For example, they allow representation of a directed graph with trees on the nodes.

For example, a fixed-point representation that has seven decimal digits with two decimal places can represent the numbers 12345. 67, 123. 45, 1. 23 and so on, whereas a floating-point representation ( such as the IEEE 754 decimal32 format ) with seven decimal digits could in addition represent 1. 234567, 123456. 7, 0. 00001234567, 1234567000000000, and so on.

: For an elementary introduction to how Lie algebras are related to particle physics, see the article Particle physics and representation theory.

For example Sp ( 8 ) has a representation in terms of 4x4 quaternion unitary matrices which has a 16 dimensional real representation and so might be considered as a candidate for a gauge group.

For compact groups, the Peter – Weyl theorem explains how one may get harmonics by choosing one irreducible representation out of each equivalence class of representations.

For reverse resolution, the IETF reserved the domain, where the name space is hierarchically divided by the 1-digit hexadecimal representation of nibble units ( 4 bits ) of the IPv6 address.

An alternative representation uses degrees and minutes, where parts of a minute are expressed in decimal notation with a fraction, thus: 23 ° 27. 500 ′ E. Degrees may also be expressed as a decimal fraction: 23. 45833 ° E. For calculations, the angular measure may be converted to radians, so longitude may also be expressed in this manner as a signed fraction of π ( pi ), or an unsigned fraction of 2π.

For the unnamed " king of Babylon " a wide range of identifications have been proposed. They include a Babylonian ruler of the prophet Isaiah's own time the later Nebuchadnezzar II, under whom the Babylonian captivity of the Jews began, or Nabonidus, and the Assyrian kings Tiglath-Pileser, Sargon II and Sennacherib, Herbert Wolf held that the " king of Babylon " was not a specific ruler but a generic representation of the whole line of rulers.

For example, the usual decimal representation of whole numbers gives every whole number a unique representation as a finite sequence of digits.

For example, the binary representation for decimal 74 is 1001010, which can be grouped into ( 00 ) 1 001 010 – so the octal representation is 112.

For Perutz, Kuhn's notion that science advances in paradigm shifts that are subject to social and cultural pressures is an unfair representation of modern science.

For this purpose, the upper house may either contain the delegates of state governments, as is the case in the European Union and in Germany and was the case in the United States before 1913, or be elected according to a formula that grants equal representation to states with smaller populations, as is the case in Australia and the modern United States.

For instance, in the article, it is stated, " To put the point starkly: are the citizens of countries of the South and their needs represented in global civil society, or are citizens as well as their needs constructed by practices of representation?

For all of its technical faults, many today view the film as an interesting historical document that captured the band at a particular point in time when its popularity was at its peak, and, on a more general level, as an accurate representation of the excesses of the music and show-business industries in the 1970s.

For instance, in 1929 Emmy Noether at Bryn Mawr wrote on " hypercomplex quantities and representation theory ".

For instance, the transform of a musical chord made up of pure notes ( without overtones ) expressed as amplitude as a function of time, is a mathematical representation of the amplitudes and phases of the individual notes that make it up.

`` For three days now a German reconnaissance plane has been over the city taking pictures.

For a time he was head of Hut 8, the section responsible for German naval cryptanalysis.

For example, the word " Amerika " in German has a one-to-one equivalence to its meaning in modern English: it may denote North America, South America, or both, and in some instances refers to the United States only.

For 600 years, from 936 to 1531, Aachen Cathedral was the church of coronation for 30 German kings and 12 queens.

For example, in German, one possible translation of " the car " is der Wagen.

For example, Baldrick is reduced to making coffee from mud and cooking rats, while General Melchett hatches a plan for the troops to walk very slowly toward the German lines, because " it'll be the last thing Fritz will expect.

For example, the ( discounted ) annual season ticket from London to Brighton ( standard 2nd class ) as of January 2010 costs £ 3, 280 for, while an annual DB ( German ) 100 BahnCard, which allows one year's travel on the entire German rail network, costs almost exactly the same ( 3800 Euros ).

For example ; burgh in Scots and Middle English ; burg in German and Old English, borg in Scandinavian languages ; parcus in Latin and pyrgos in Greek.

For a few illustrative examples: German speakers use " Wasserstoff " ( water substance ) for " hydrogen ", " Sauerstoff " ( acid substance ) for " oxygen " and " Stickstoff " ( smothering substance ) for " nitrogen ", while English and some romance languages use " sodium " for " natrium " and " potassium " for " kalium ", and the French, Italians, Greeks, Portuguese and Poles prefer " azote / azot / azoto " ( from roots meaning " no life ") for " nitrogen ".

For example, consider English starve and Dutch sterven or German sterben (" to die "); these three words all derive from the same Proto-Germanic root, * sterƀ-(" die ").

For instance, manshonyagger derives from the German words " menschen " meaning, in some senses, " men " or " mankind ", and " jäger ", meaning a hunter ; referring to war machines that roam the wild lands between the walled cities and prey on men, except for those they can identify as Germans.

For example, German dictionaries and telephone directories use different approaches.

For example, in German dictionaries the word ökonomisch comes between offenbar and olfaktorisch, while Turkish dictionaries treat o and ö as different letters, placing oyun before öbür.

For instance, in German where two words differ only by an umlaut, the word without it is sorted first in German dictionaries ( e. g. schon and then schön, or fallen and then fällen ).

For example, the letter क is read ka, ( not ' kaah '; similar to German suffix-e, as in Deutsche ) the two letters कन are kana, the three कनय are kanaya, etc.

For the first time in many years, German audiences had free access to cinema from around the world and in this period the films of Charlie Chaplin remained popular, as were melodramas from the United States.

For example, the German and Austrian schuhplattling dance consists of slapping the body and shoes in a fixed pattern, a feature that few other countries ' dances have.

For example, the words preservative ( English ), préservatif ( French ), Präservativ ( German ), prezervativ ( Romanian, Czech, Croatian ), preservativ ( Slovenian ), preservativo ( Italian, Spanish, Portuguese ), prezerwatywa ( Polish ), презерватив " prezervativ " ( Russian, Serbian, Bulgarian ), prezervatif ( Turkish ), præservativ ( Danish ), prezervatyvas ( Lithuanian ), Prezervatīvs ( Latvian ) and preservatiu ( Catalan ) are all derived from the Latin word praeservativum.

For example, German Rat ( pronounced with a long " a ") (= " council ") is cognate with English " read " and German and Dutch Rede (= " speech ", often religious in nature ) ( hence Æthelred the ' Unready ' would not heed the speech of his advisors, and the word ' unready ' is cognate with the Dutch word " onraad " meaning trouble, danger ), while English and Dutch " rat " for the rodent has its German cognate Ratte.

For example, in German: Oldtimer refers to an old car ( or antique aircraft ) rather than an old person, while Handy refers to a mobile phone.

For example, German and Scandinavian " Hund " and Dutch " Hond " are the cognates of English " hound ", but whereas hund and hond refer to dogs in general, in English the sense has been narrowed to dogs used for hunting.