Division (lat. divisio‚ „Teilung“) steht für: die Teilung einer Zahl durch eine andere , siehe Division (Mathematik); eine Operation aus der Datenbanktheorie, siehe. Übersetzung für 'division' im kostenlosen Englisch-Deutsch Wörterbuch von LANGENSCHEIDT – mit Beispielen, Synonymen und Aussprache. Viele übersetzte Beispielsätze mit "division" – Deutsch-Englisch Wörterbuch und Suchmaschine für Millionen von Deutsch-Übersetzungen.
Special Forces , U. Cyanophyta , division Cyanophyta - prokaryotic organisms sometimes considered a class or phylum or subkingdom; coextensive with the Cyanophyceae: Chrysophyta , division Chrysophyta - mostly freshwater eukaryotic algae having the chlorophyll masked by brown or yellow pigment; yellow-green and golden-brown algae and diatoms: Xanthophyceae, Chrysophyceae, Bacillariophyceae; some classification systems superseded or subsumed by Heterokontophyta.
Chlorophyta , division Chlorophyta - large division of chiefly freshwater eukaryotic algae that possess chlorophyll a and b, store food as starch, and cellulose cell walls; classes Chlorophyceae, Ulvophyceae, and Charophyceae; obviously ancestral to land plants.
Cynodontia , division Cynodontia - a division of the order Therapsida from the Triassic period comprising small carnivorous tetrapod reptiles often with mammal-like teeth.
Dicynodontia , division Dicynodontia - a division of Therapsida. Pisces - a group of vertebrates comprising both cartilaginous and bony fishes and sometimes including the jawless vertebrates; not used technically.
Thallophyta - used only in former classifications: Bryophyta , division Bryophyta - a division of nonflowering plants characterized by rhizoids rather than true roots and having little or no organized vascular tissue and showing alternation of generations between gamete-bearing forms and spore-bearing forms; comprises true mosses Bryopsida and liverworts Hepaticopsida and hornworts Anthoceropsida.
Phanerogamae - in former classification systems: Cryptogamia - in former classification systems: Pteropsida , subdivision Pteropsida - used in former classifications to include all ferns and flowering plants and divided into the three classes Filicinae and Gymnospermae and Angiospermae.
Mastigomycota , Mastigomycotina , subdivision Mastigomycota , subdivision Mastigomycotina - fungi in which the spores and gametes are motile; in some systems placed in the Phycomycetes group with the Zygomycota.
Deuteromycota , Deuteromycotina , Fungi imperfecti , subdivision Deuteromycota , subdivision Deuteromycotina - large and heterogeneous form division of fungi comprising forms for which no sexually reproductive stage is known.
Basidiomycota , Basidiomycotina , subdivision Basidiomycota , subdivision Basidiomycotina - comprises fungi bearing the spores on a basidium; includes Gasteromycetes puffballs and Tiliomycetes comprising the orders Ustilaginales smuts and Uredinales rusts and Hymenomycetes mushrooms, toadstools, agarics and bracket fungi ; in some classification systems considered a division of kingdom Fungi.
Ascomycota , Ascomycotina , subdivision Ascomycota , subdivision Ascomycotina - a large subdivision of Eumycota including Hemiascomycetes and Plectomycetes and Pyrenomycetes and Discomycetes; sac fungi; in some classification systems considered a division of the kingdom Fungi.
Lycophyta - used in some classifications for the class Lycopsida: Quotations "If a house be divided against itself, that house cannot stand" Bible: The act or an instance of separating one thing from another: The act of distributing or the condition of being distributed: One of the parts into which something is divided: A component of government that performs a given function: A local unit of a business or an auxiliary controlled by such a business: The condition of being divided, as in opinion: Division Teilung Abteilung Aufteilung Uneinigkeit.
We divided the sweets between us. He belongs to B division of the local police force. The soldier contacted divisional headquarters.
References in classic literature? To a proposal made by General Campan who was to attack the fleches to lead his division through the woods, Napoleon agreed, though the so-called Duke of Elchingen Ney ventured to remark that a movement through the woods was dangerous and might disorder the division.
On the left were the Londoners under Nicholas de Segrave; in the center rode De Clare, with John Fitz-John and William de Monchensy, at the head of a large division which occupied that branch of the hill which descended a gentle, unbroken slope to the town.
Then he requested the Fox to do him the favor to make a division. WHILE a Division Superintendent of a railway was attending closely to his business of placing obstructions on the track and tampering with the switches he received word that the President of the road was about to discharge him for incompetency.
The division into books, like all similar divisions , is probably later than the age of Plato. The causes of atheism are: If the dividend has a fractional part expressed as a decimal fraction , one can continue the algorithm past the ones place as far as desired.
If the divisor has a fractional part, we can restate the problem by moving the decimal to the right in both numbers until the divisor has no fraction.
A person can calculate division with an abacus by repeatedly placing the dividend on the abacus, and then subtracting the divisor the offset of each digit in the result, counting the number of divisions possible at each offset.
A person can calculate division with a slide rule by aligning the divisor on the C scale with the dividend on the D scale. The quotient can be found on the D scale where it is aligned with the left index on the C scale.
The user is responsible, however, for mentally keeping track of the decimal point. Modern computers compute division by methods that are faster than long division.
For division with remainder , see Division algorithm. In modular arithmetic modulo a prime number and for real numbers , nonzero numbers have a multiplicative inverse.
In these cases, a division by x may be computed as the product by the multiplicative inverse of x. This approach is often the most efficient one.
The Euclidean division is the mathematical formulation of the outcome of the usual process of division of integers. Division of integers is not closed.
Apart from division by zero being undefined, the quotient is not an integer unless the dividend is an integer multiple of the divisor. For example, 26 cannot be divided by 11 to give an integer.
Such a case uses one of five approaches:. Dividing integers in a computer program requires special care. Some programming languages , such as C , treat integer division as in case 5 above, so the answer is an integer.
Other languages, such as MATLAB and every computer algebra system return a rational number as the answer, as in case 3 above. These languages also provide functions to get the results of the other cases, either directly or from the result of case 3.
Definitions vary regarding integer division when the dividend or the divisor is negative: Divisibility rules can sometimes be used to quickly determine whether one integer divides exactly into another.
The result of dividing two rational numbers is another rational number when the divisor is not 0. All four quantities are integers, and only p may be 0.
This definition ensures that division is the inverse operation of multiplication. Division of two real numbers results in another real number when the divisor is not 0.
Dividing two complex numbers results in another complex number when the divisor is not 0, which is found using the conjugate of the denominator:.
All four quantities p , q , r , s are real numbers, and r and s may not both be 0. Again all four quantities p , q , r , s are real numbers, and r may not be 0.
One can define the division operation for polynomials in one variable over a field. Then, as in the case of integers, one has a remainder.
See Euclidean division of polynomials , and, for hand-written computation, polynomial long division or synthetic division. One can define a division operation for matrices.
An elementwise division can also be defined in terms of the Hadamard product. Examples include matrix algebras and quaternion algebras.
A quasigroup is a structure in which division is always possible, even without an identity element and hence inverses. In an integral domain , where not every element need have an inverse, division by a cancellative element a can still be performed on elements of the form ab or ca by left or right cancellation, respectively.
If a ring is finite and every nonzero element is cancellative, then by an application of the pigeonhole principle , every nonzero element of the ring is invertible, and division by any nonzero element is possible.
To learn about when algebras in the technical sense have a division operation, refer to the page on division algebras. In particular Bott periodicity can be used to show that any real normed division algebra must be isomorphic to either the real numbers R , the complex numbers C , the quaternions H , or the octonions O.
The derivative of the quotient of two functions is given by the quotient rule:. Division of any number by zero in most mathematical systems is undefined because zero multiplied by any finite number always results in a product of zero.
However, in certain higher level mathematics division by zero is possible by the zero ring and algebras such as wheels. From Wikipedia, the free encyclopedia.
This article is about the arithmetical operation. For other uses, see Division disambiguation. For other uses, see Divided disambiguation.
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