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What is the difference between order and degree?

order | degree |

In mathematics terms the difference between order and degree

is that order is the sum of the exponents on the variables in a monomial, or the highest such among all monomials in a polynomial while degree is the sum of the exponents of a term; the order of a polynomial.

In graph theory terms the difference between order and degree

is that order is the number of vertices in a graph while degree is the number of edges that a vertex takes part in; a valency.

As nouns the difference between order and degree

is that order is arrangement, disposition, sequence while degree is a step on a set of stairs; the rung of a ladder.

As a verb order

is to set in some sort of order.

order

English

(wikipedia order)

Alternative forms

* ordre (obsolete)

Noun

  • (uncountable) Arrangement, disposition, sequence.
  • (uncountable) The state of being well arranged.
  • The house is in order'''; the machinery is out of '''order .
  • Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.
  • to preserve order in a community or an assembly
  • (countable) A command.
  • * {{quote-book, year=1907, author=
  • , title=The Dust of Conflict , chapter=30 citation , passage=It was by his order the shattered leading company flung itself into the houses when the Sin Verguenza were met by an enfilading volley as they reeled into the calle.}}
  • (countable) A request for some product or service; a commission to purchase, sell, or supply goods.
  • * {{quote-magazine, title=An internet of airborne things, date=2012-12-01, volume=405, issue=8813, page=3 (Technology Quarterly), magazine=(The Economist) citation
  • , passage=A farmer could place an order for a new tractor part by text message and pay for it by mobile money-transfer.}}
  • (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; as, the Jesuit Order.
  • (countable) An association of knights; as, the Order of the Garter, the Order of the Bath.
  • any group of people with common interests.
  • (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.
  • (countable, biology, taxonomy) A rank in the classification of organisms, below class and above family; a taxon at that rank.
  • * {{quote-magazine, year=2013, month=May-June, author= Katie L. Burke
  • , title= In the News , volume=101, issue=3, page=193, magazine=(American Scientist) , passage=Bats host many high-profile viruses that can infect humans, including severe acute respiratory syndrome and Ebola. A recent study explored the ecological variables that may contribute to bats’ propensity to harbor such zoonotic diseases by comparing them with another order of common reservoir hosts: rodents.}}
  • 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.
  • the higher or lower orders of society
    talent of a high order
  • * Jeremy Taylor
  • They are in equal order to their several ends.
  • * Granville
  • Various orders various ensigns bear.
  • * Hawthorne
  • which, to his order of mind, must have seemed little short of crime.
  • An ecclesiastical grade or rank, as of deacon, priest, or bishop; the office of the Christian ministry; often used in the plural.
  • to take orders''', or to take '''holy orders , that is, to enter some grade of the ministry
  • (architecture) The disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (as the column and entablature are the characteristic features of classical architecture) a style or manner of architectural designing.
  • (cricket) The sequence in which a side’s batsmen bat; the batting order.
  • (electronics) a power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.
  • * a 3-stage cascade of a 2nd-order bandpass Butterworth filter.
  • (chemistry) The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
  • (mathematics) The cardinality, or number of elements in a set or related structure.
  • (graph theory) The number of vertices in a graph.
  • (order theory) A partially ordered set.
  • (order theory) The relation on a partially ordered set that determines that it in fact a partially ordered set.
  • (mathematics) The sum of the exponents on the variables in a monomial, or the highest such among all monomials in a polynomial.
  • Quotations

    * 1611 — 1:1 *: Forasmuch as many have taken in hand to set forth in order a declaration of those things which are most surely believed among us... * Donald Knuth. Volume 3: ''Sorting and Searching, Addison-Wesley, 1973, 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.

    Antonyms

    * chaos

    Derived terms

    * alphabetical order * antisocial behaviour order * Anton Piller order * apple-pie order * back-to-work order * bottom order * court order * doctor's orders * Doric order * executive order * first order stream * fraternal birth order * gagging order * Groceries Order * in order / in order to * in short order * infra-order * interim order * last orders * law-and-order * Mary Bell order * mendicant order * middle order * moral order * New World Order * on the order of * order in council * Order of Australia * order of magnitude * order of operations * order of precedence * order of the day * order stream * out of order * partial order * pecking order * place an order * put one's house in order * purchase order * religious order * restraining order * second order stream * short order * standing order * stop-loss order * superorder * tall order * third order stream * total order * well-order * working order * z-order

    See also

    *

    Verb

    (en verb)
  • To set in some sort of order.
  • To arrange, set in proper order.
  • To issue a command to.
  • to order troops to advance
  • To request some product or service; to secure by placing an order.
  • to order groceries
  • To admit to holy orders; to ordain; to receive into the ranks of the ministry.
  • * Book of Common Prayer
  • persons presented to be ordered deacons
    Synonyms
    * (arrange into some sort of order) sort, rank

    Derived terms

    * just what the doctor ordered * made-to-order * mail-order * order of magnitude * order out * well-order

    Statistics

    *

    degree

    English

    (wikipedia degree)

    Noun

    (en noun)
  • (obsolete, outside, heraldry) A step on a set of stairs; the rung of a ladder.
  • An individual step, or stage, in any process or scale of values.
  • A stage of rank or privilege; social standing.
  • * 1526 , (William Tyndale), trans. Bible , Luke XX:
  • Master, we knowe that thou sayest, and teachest ryght, nether considerest thou eny mannes degre , but techest the waye of god truely.
  • (genealogy) A ‘step’ in genealogical descent.
  • * 2002 , , The Great Nation , Penguin 2003, page 140:
  • Louis created the École militaire in Paris in 1751, in which 500 scholarships were designated for noblemen able to prove four degrees of noble status.
  • * 1851 , (Herman Melville), (Moby-Dick) :
  • If they but knew it, almost all men in their degree , some time or other, cherish very nearly the same feelings towards the ocean with me.
  • The amount that an entity possesses a certain property; relative intensity, extent.
  • *
  • , title=(The Celebrity), chapter=1 , passage=In the old days, to my commonplace and unobserving mind, he gave no evidences of genius whatsoever. He never read me any of his manuscripts, […], and therefore my lack of detection of his promise may in some degree be pardoned.}}
  • A stage of proficiency or qualification in a course of study, now especially an award bestowed by a university or, in some countries, a college, as a certification of academic achievement. (In the United States, can include secondary schools.)
  • (geometry) A unit of measurement of angle equal to 1/360 of a circle's circumference.
  • (physics) A unit of measurement of temperature on any of several scales, such as Celsius or Fahrenheit.
  • (mathematics) The sum of the exponents of a term; the order of a polynomial.
  • (graph theory) The number of edges that a vertex takes part in; a valency.
  • (surveying) The curvature of a circular arc, expressed as the angle subtended by a fixed length of arc or chord.
  • Synonyms

    * (unit of angle) * (unit of temperature)

    Derived terms

    * academic degree * advanced degree * bachelor's degree * degree Celsius * degree centigrade * degree days * degree of frost * degree Fahrenheit * first degree burn * master's degree * second degree burn

    Coordinate terms

    * (l)

    Usage notes

    * A person who is engaged in a course of study leading to the earning of a degree can be described (in the present progressive tense) as "doing a degree" in British English, and as "getting a degree" in American English. For example, in American English, "She is currently getting''' her master's degree at State University."'' In British English, ''"I am still confused about when to use 'an' instead of 'a'. Is it an hour or a hour, and if someone is '''doing a master's degree in arts, is it an MA or a MA?" ( Ask Oxford.Com - Ask the Experts - Frequently Asked Questions (Grammar)).

    Statistics

    *