different between division vs order

English

Etymology

From Middle English divisioun, from Old French division, from Latin d?v?si?, d?v?si?nem, noun of process form from perfect passive participle d?v?sus (“divided”), from d?vid? (“divide”). Doublet of divisio.

Pronunciation

• IPA^(key): /d??v???n/
• Rhymes: -???n

Noun

division (countable and uncountable, plural divisions)

1. (uncountable) The act or process of dividing anything.

   Synonyms: split, lith

   Antonyms: combination, fusion, merger, unification
2. Each of the separate parts of something resulting from division.
3. (arithmetic, uncountable) The process of dividing a number by another.

   Antonym: multiplication

4. (arithmetic) A calculation that involves this process.

5. (military) A formation, usually made up of two or three brigades.

   Hyponyms: square division, triangular division

6. A usually high-level section of a large company or conglomerate.
7. (taxonomy) A rank below kingdom and above class, particularly used of plants or fungi, also (particularly of animals) called a phylum; a taxon at that rank.

8. A disagreement; a difference of viewpoint between two sides of an argument.
9. (government) A method by which a legislature is separated into groups in order to take a better estimate of vote than a voice vote.

10. (music) A florid instrumental variation of a melody in the 17th and 18th centuries, originally conceived as the dividing of each of a succession of long notes into several short ones.
11. (music) A set of pipes in a pipe organ which are independently controlled and supplied.
12. (law) A concept whereby a common group of debtors are only responsible for their proportionate sum of the total debt.
13. (computing) Any of the four major parts of a COBOL program source code.

    Hyponyms: identification division, environment division, data division, procedure division

14. (Britain, Eton College) A lesson; a class.

    Synonym: (informal) div

Synonyms

• (taxonomy): divisio, phylum

Derived terms

Related terms

Translations

See also

• separation
• addition, summation: (augend) + (addend) = (summand) × (summand) = (sum, total)
• subtraction: (minuend) ? (subtrahend) = (difference)
• multiplication: (multiplier) × (multiplicand) = (factor) × (factor) = (product)
• division: (dividend) ÷ (divisor) = (quotient), remainder left over if divisor does not divide dividend
• denominator
• fraction
• numerator

Further reading

• division on Wikipedia.Wikipedia

Danish

Noun

division c (singular definite divisionen, plural indefinite divisioner)

1. This term needs a translation to English. Please help out and add a translation, then remove the text {{rfdef}}.

Declension

Further reading

• “division” in Den Danske Ordbog

French

Etymology

From Old French, borrowed from Latin divisio, divisionem, noun of process form from perfect passive participle divisus (“divided”), from d?vid? (“divide”)

Pronunciation

• IPA^(key): /di.vi.zj??/

Noun

division f (plural divisions)

1. division (act or process of dividing)
2. (arithmetic) division
3. (military) division
4. division (subsection)

Related terms

• diviser

Further reading

• “division” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

Middle English

Noun

division

1. Alternative form of divisioun

Swedish

Etymology

Borrowed from Latin divisio, divisionis, noun of process form from perfect passive participle divisus (“divided”), from d?vid? (“divide”)

Noun

division c

1. division; act of dividing (e.g. numbers); large military unit; section of a company
2. (sports) division, league; an organization of sports teams that habitually play against each other for a championship; the level on which a certain team plays, as compared to others

Declension

English

Alternative forms

• ordre (obsolete)

Etymology

From Middle English ordre, from Old French ordre, ordne, ordene (“order, rank”), from Latin ?rdinem, accusative of ?rd? (“row, rank, regular arrangement”, literally “row of threads in a loom”), from Proto-Italic *ored-, *oreð- (“to arrange”), of unknown origin. Related to Latin ?rdior (“begin”, literally “begin to weave”). In sense “request for purchase”, compare bespoke. Doublet of ordo.

Pronunciation

• (Received Pronunciation) IPA^(key): /???d?/
• (General American) IPA^(key): /???d?/, [?????]
• (Indian English) IPA^(key): /???d?(r)/
• Rhymes: -??(?)d?(?)
• Hyphenation: or?der

Noun

order (countable and uncountable, plural orders)

1. (countable) Arrangement, disposition, or sequence.

2. (countable) A position in an arrangement, disposition, or sequence.
   • 1897, T. L. Heath (translator), Eutocius of Ascalon, Extract from a commentary by Eutocius, quoted in 1897 [CUP], T. L. Heath (editor), The Works of Archimedes, 2002, Dover, unnumbered page,

     His attempt I shall also give in its order.
3. (uncountable) The state of being well arranged.

4. (countable) Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.

5. (countable) A command.
6. (countable) A request for some product or service; a commission to purchase, sell, or supply goods.
7. (countable) A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles.

8. (countable) An association of knights.

9. Any group of people with common interests.
10. (countable) A decoration, awarded by a government, a dynastic house, or a religious body to an individual, usually for distinguished service to a nation or to humanity.
11. (countable, biology, taxonomy) A category in the classification of organisms, ranking below class and above family; a taxon at that rank.

12. A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a distinct character, kind, or sort.
    • 1650, Jeremy Taylor, The Rule and Exercises of Holy Living

      They are in equal order to their several ends.

    • 1726, George Granville, The British Enchanters

      Various orders various ensigns bear.

    • […] which, to his order of mind, must have seemed little short of crime.

13. (Christianity) An ecclesiastical rank or position, usually for the sake of ministry, (especially, when plural) holy orders.

14. (architecture) The disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (since the column and entablature are the characteristic features of classical architecture) a style or manner of architectural design.
15. (cricket) The sequence in which a side’s batsmen bat; the batting order.
16. (electronics) A power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.

17. (chemistry) The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
18. (set theory) The cardinality, or number of elements in a set, group, or other structure regardable as a set.
    • 1911 [Cambridge University Press], William Burnside, Theory of Groups of Finite Order, 2nd Edition, Reprint, Dover (Dover Phoenix), 2004, page 222,

      In this case, the conjugate set contains n(n ? 1)/x(x ? 1) distinct sub-groups of order m, and H is therefore self-conjugate in a group K of order x(x ? l)m.

    • 2000, Michael Aschbacher, Finite Group Theory, Cambridge University Press, 2nd Edition, page 260,

      For various reasons it turns out to be better to enlarge this set of invariants to include suitable normalizers of subgroups of odd prime order.

19. (group theory, of an element of a group) For given group G and element g ? G, the smallest positive natural number n, if it exists, such that (using multiplicative notation), gⁿ = e, where e is the identity element of G; if no such number exists, the element is said to be of infinite order (or sometimes zero order).
    • 1997, Frank Celler, C. R. Leedham-Green, Calculating the Order of an Invertible Matrix, Larry Finkelstein, William M. Kantor (editors), Groups and Computation II, American Mathematical Society, page 55,

      The object of this note is to observe that it is possible to calculate the order of an element ${\displaystyle A}$ of ${\displaystyle G={\mathit {GL}}(d,q)}$ on average using ${\displaystyle O(d^{3}{\mathsf {log}}\ q)}$ field operations, assuming that ${\displaystyle q^{i}-1}$ has been factorised for ${\displaystyle i\leq d}$.

    • 1999, A. Ehrenfeucht, T. Harju, G. Rozenberg, The Theory of 2-structures, World Scientific, page 15,

      If ${\displaystyle \Delta }$ is a finite group, its cardinality is called the order of ${\displaystyle \Delta }$. The order of an element ${\displaystyle a\in \Delta }$ is defined as the smallest nonnegative integer ${\displaystyle n}$ such that ${\displaystyle a^{n}=1_{\Delta }}$. The second case of the following result is known as Cauchy's theorem.

      Theorem 1.10 Let ${\displaystyle \Delta }$ be a finite group.

      (i) The order of an element ${\displaystyle a\in \Delta }$ divides the order ${\displaystyle |\Delta |}$ of the group.

      (ii) If a prime number ${\displaystyle p}$ divides ${\displaystyle |\Delta |}$, then there exists an element ${\displaystyle a\in \Delta }$ of order ${\displaystyle p}$.

    • 2010, A. R. Vasishta, A. K. Vasishta, Modern Algebra, Krishna Prakashan Media, 60th Edition, page 180,

      Since in a finite group the order of an element must be a divisor of the order of the group, therefore o (a) cannot be 3 and so we must have o (a)=4=the order of the group G.

20. (graph theory) The number of vertices in a graph.
21. (order theory) A partially ordered set.
22. (order theory) The relation on a partially ordered set that determines that it is, in fact, a partially ordered set.
23. (algebra) The sum of the exponents on the variables in a monomial, or the highest such among all monomials in a polynomial.

24. (finance) A written direction to furnish someone with money or property; compare money order, postal order.
    • 1763, James Boswell, in Gordon Turnbull (ed.), London Journal 1762–1763, Penguin 2014, p. 233:

      I then walked to Cochrane's & got an order on Sir Charles Asgill for my money.

Quotations

• 1611, Bible, King James Version, Luke, 1:i:

  Forasmuch as many have taken in hand to set forth in order a declaration of those things which are most surely believed among us […] .

• 1973, Donald Knuth, The Art of Computer Programming, Volume 3: Sorting and Searching, Addison-Wesley, chapter 8:

  Since only two of our tape drives were in working order, I was ordered to order more tape units in short order, in order to order the data several orders of magnitude faster.

Synonyms

• (taxonomy): ordo

Antonyms

• chaos

Hypernyms

• denomination

Hyponyms

Derived terms

Related terms

Translations

See also

• Appendix:Glossary of order theory

Further reading

• order on Wikipedia.Wikipedia
• Order (group theory) on Wikipedia.Wikipedia
• Cauchy's theorem (group theory) on Wikipedia.Wikipedia
• Lagrange's theorem (group theory) on Wikipedia.Wikipedia
• (taxonomy): Taxonomic rank#Ranks in botany on Wikipedia.Wikipedia

Verb

order (third-person singular simple present orders, present participle ordering, simple past and past participle ordered)

1. (transitive) To set in some sort of order.

2. (transitive) To arrange, set in proper order.

3. (transitive) To issue a command to.

4. (transitive) To request some product or service; to secure by placing an order.

5. To admit to holy orders; to ordain; to receive into the ranks of the ministry.

   • persons presented to be ordered deacons

Conjugation

Synonyms

• (arrange into some sort of order): sort, rank
• (issue a command): command

Derived terms

Translations

Related terms

• ordain
• orderly
• ordinal
• ordinary

Anagrams

• Doerr, Roder, derro, ordre

Dutch

Etymology

Borrowed from Middle French ordre.

Pronunciation

• IPA^(key): /??r.d?r/
• Hyphenation: or?der

Noun

order m or f or n (plural orders)

1. order (command)
2. order (request for product or service)

Derived terms

• dagorder
• legerorder
• orderbrief
• postorder

German

Verb

order

1. inflection of ordern:
   1. first-person singular present
   2. singular imperative

Indonesian

Etymology

From Dutch order, from from Old French ordre, ordne, ordene (“order, rank”), from Latin ?rdinem, accusative of ?rd? (“row, rank, regular arrangement”, literally “row of threads in a loom”). Doublet of orde and ordo.

Pronunciation

• IPA^(key): [??r.d?r]
• Hyphenation: or?dêr

Noun

ordêr (first-person possessive orderku, second-person possessive ordermu, third-person possessive ordernya)

1. order,
   1. a command.
   2. a request for some product or service; a commission to purchase, sell, or supply goods.

      Synonym: pesanan

Derived terms

Further reading

• “order” in Kamus Besar Bahasa Indonesia (KBBI) Daring, Jakarta: Badan Pengembangan dan Pembinaan Bahasa, Kementerian Pendidikan dan Kebudayaan Republik Indonesia, 2016.

Polish

Etymology

From Old French ordre, ordne, ordene (“order, rank”), from Latin ?rdinem, accusative of ?rd? (“row, rank, regular arrangement”, literally “row of threads in a loom”).

Pronunciation

• IPA^(key): /??r.d?r/

Noun

order m inan (diminutive orderek, augmentative orderzysko)

1. order (decoration awarded by government or other authority)

   Synonym: odznaczenie

Declension

Derived terms

• (verbs) orderowa?, uorderowa?, wyorderowa?
• (nouns) orderowiec, orderomania
• (adjective) orderowy

Related terms

• (noun) ordereczek

Further reading

• order in Wielki s?ownik j?zyka polskiego, Instytut J?zyka Polskiego PAN
• order in Polish dictionaries at PWN

Swedish

Pronunciation

• IPA^(key): /??rd?r/

Noun

order c

1. an order; a command
2. an order; a request for some product or service

Declension

Hyponyms

See also

• orden

Anagrams

• roder