order

Definitions

  • The Order of Planing a Board
    The Order of Planing a Board
  • WordNet 3.6
    • v order place in a certain order "order the photos chronologically"
    • v order bring order to or into "Order these files"
    • v order assign a rank or rating to "how would you rank these students?","The restaurant is rated highly in the food guide"
    • v order arrange thoughts, ideas, temporal events "arrange my schedule","set up one's life","I put these memories with those of bygone times"
    • v order make a request for something "Order me some flowers","order a work stoppage"
    • v order give instructions to or direct somebody to do something with authority "I said to him to go home","She ordered him to do the shopping","The mother told the child to get dressed"
    • v order issue commands or orders for
    • v order appoint to a clerical posts "he was ordained in the Church"
    • v order bring into conformity with rules or principles or usage; impose regulations "We cannot regulate the way people dress","This town likes to regulate"
    • n order the act of putting things in a sequential arrangement "there were mistakes in the ordering of items on the list"
    • n order (architecture) one of original three styles of Greek architecture distinguished by the type of column and entablature used or a style developed from the original three by the Romans
    • n order a degree in a continuum of size or quantity "it was on the order of a mile","an explosion of a low order of magnitude"
    • n order a commercial document used to request someone to supply something in return for payment and providing specifications and quantities "IBM received an order for a hundred computers"
    • n order a legally binding command or decision entered on the court record (as if issued by a court or judge) "a friend in New Mexico said that the order caused no trouble out there"
    • n order a body of rules followed by an assembly
    • n order (often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed "the British ships dropped anchor and waited for orders from London"
    • n order a request for something to be made, supplied, or served "I gave the waiter my order","the company's products were in such demand that they got more orders than their call center could handle"
    • n order (biology) taxonomic group containing one or more families
    • n order a group of person living under a religious rule "the order of Saint Benedict"
    • n order a formal association of people with similar interests "he joined a golf club","they formed a small lunch society","men from the fraternal order will staff the soup kitchen today"
    • n order logical or comprehensible arrangement of separate elements "we shall consider these questions in the inverse order of their presentation"
    • n Order (usually plural) the status or rank or office of a Christian clergyman in an ecclesiastical hierarchy "theologians still disagree over whether `bishop' should or should not be a separate Order"
    • n order established customary state (especially of society) "order ruled in the streets","law and order"
    • n order a condition of regular or proper arrangement "he put his desk in order","the machine is now in working order"
    • ***

Additional illustrations & photos:

Locations A to E shown in alphabetical order from bottom to top of the plan Locations A to E shown in alphabetical order from bottom to top of the plan
Showing the different elements of the Doric order Showing the different elements of the Doric order
Diagram showing elements of the Ionic order Diagram showing elements of the Ionic order
He gin the nurse strict orders He gin the nurse strict orders
"My magnificent order at the Public House" "My magnificent order at the Public House"
An assortment of glass bottle seals in the Jamestown collection. Some of the wealthy planters had their initials (or other ornamental device) stamped on the shoulders of the wine bottles which they ordered from England An assortment of glass bottle seals in the Jamestown collection. Some of the wealthy planters had their initials (or...
Application by Sidney Brooks for membership in the secret Order of '76 Application by Sidney Brooks for membership in the secret Order of '76
I never ordered it I never ordered it

Webster's Revised Unabridged Dictionary
  • Interesting fact: The three most valuable brand names on earth: Marlboro, Coca Cola, and Budweiser, in that order
    • Order A body of persons having some common honorary distinction or rule of obligation; esp., a body of religious persons or aggregate of convents living under a common rule; as, the Order of the Bath; the Franciscan order. "Find a barefoot brother out,
      One of our order , to associate me."
      "The venerable order of the Knights Templars."
    • Order A command; a mandate; a precept; a direction. "Upon this new fright, an order was made by both houses for disarming all the papists in England."
    • Order 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 group or division of men in the same social or other position; also, a distinct character, kind, or sort; as, the higher or lower orders of society; talent of a high order. "They are in equal order to their several ends.""Various orders various ensigns bear.""Which, to his order of mind, must have seemed little short of crime."
    • Order (Nat. Hist) An assemblage of genera having certain important characters in common; as, the Carnivora and Insectivora are orders of Mammalia.
    • Order An ecclesiastical grade or rank, as of deacon, priest, or bishop; the office of the Christian ministry; -- often used in the plural; as, to take orders, or to take holy orders, that is, to enter some grade of the ministry.
    • Order Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet; as, to preserve order in a community or an assembly.
    • Order Hence: A commission to purchase, sell, or supply goods; a direction, in writing, to pay money, to furnish supplies, to admit to a building, a place of entertainment, or the like; as, orders for blankets are large. "In those days were pit orders beshrew the uncomfortable manager who abolished them."
    • Order Of intellectual notions or ideas, like the topics of a discource.
    • Order Of material things, like the books in a library.
    • Order Of periods of time or occurrences, and the like.
    • Order (Math) Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation.
    • Order Regular arrangement; any methodical or established succession or harmonious relation; method; system
    • Order Right arrangement; a normal, correct, or fit condition; as, the house is in order; the machinery is out of order.
    • Order That which prescribes a method of procedure; a rule or regulation made by competent authority; as, the rules and orders of the senate. "The church hath authority to establish that for an order at one time which at another time it may abolish."
    • Order The customary mode of procedure; established system, as in the conduct of debates or the transaction of business; usage; custom; fashion. "And, pregnant with his grander thought,
      Brought the old order into doubt."
    • Order (Arch) 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.
    • Order (Rhet) The placing of words and members in a sentence in such a manner as to contribute to force and beauty or clearness of expression.
    • Order (Eccl) To admit to holy orders; to ordain; to receive into the ranks of the ministry. "These ordered folk be especially titled to God.""Persons presented to be ordered deacons."
    • Order To give an order for; to secure by an order; as, to order a carriage; to order groceries.
    • Order To give an order to; to command; as, to order troops to advance.
    • v. i Order To give orders; to issue commands.
    • Order To put in order; to reduce to a methodical arrangement; to arrange in a series, or with reference to an end. Hence, to regulate; to dispose; to direct; to rule. "To him that ordereth his conversation aright.""Warriors old with ordered spear and shield."
    • ***
Century Dictionary and Cyclopedia
  • Interesting fact: In 2001, the five most valuable brand names in order were Coca-Cola, Microsoft, IBM, GE, and Nokia
    • n order A row; rank; line.
    • n order A rank, grade, or class of a community or society: as, the higher or the lower orders of the community.
    • n order Specifically— The degree, rank, or status of clergymen.
    • n order One of the several degrees or grades of the clerical office. In the Roman Catholic Church these orders are bishop, priest (presbyter), deacon, subdeacon, acolyte, exorcist, reader, and doorkeeper. Originally the first three were accounted major orders and the others minor orders. Since the twelfth century the order of sub-deacon has been advanced to the rank of a major order, and the number of orders is generally counted as seven, the orders of bishop and presbyter being regarded as one order in so far as the sacerdotal character belongs to both. In the Orthodox Greek and other Oriental churches the major orders are those of bishop, priest, and deacon, and the minor orders are subdeacon, reader (anagnost), and sometimes singer (psaltes). The orders of bishop, priest, and deacon are known not only as major or holy orders, but as apostolic orders. The orders of subdeacon, acolyte, exorcist, and doorkeeper (ostiary) existed in the Western Church before the middle of the third cent ury; those of subdeacon, exorcist, reader, singer, and doorkeeper were as old as the third or fourth century in the Eastern Church. The Anglican Church retains only the orders of bishop, priest, and deacon. Major orders can be conferred by bishops only. Chorepiscopi, abbots, and priests have sometimes, however, been authorized to confer minor orders.
    • n order In the Roman Catholic, Greek, Anglican, and other episcopal churches, the sacrament or rite of ordination, by which ecclesiastics receive the power and grace for the discharge of their several functions: specifically termed holy order, or more commonly holy orders. The bishop alone can administer this rite. Orders as a sacrament or sacramental rite are limited to the major orders.
    • n order The consideration attaching to rank; honor; dignity; state.
    • n order In zoology, that taxonomic group which regularly comes next below the class and next above the family, consisting of one or more families, and forming a division (sometimes the whole) of a class. Like other classiflcatory groups, it has only an arbitrary or conventional taxonomic value. Compare superorder, suborder.
    • n order In botany, the most important unit of classification above the genus, corresponding somewhat closely to family in zoölogy. See family, 6. In phanerogams the term family is not technical or systematic, being sometimes applied to suborders, tribes, or even genera. In cryptogams it is made a subdivision of the order by some authors. See natural order, under natural.
    • n order A number of persons of the same profession, occupation, or pursuits, constituting a separate class in the community, or united by some special interest.
    • n order Specifically— A body or society of persons living by common consent under the same religious, moral, or social regulations; especially, a monastic society or fraternity: as, an order of monks or friars; the Benedictine or Franciscan order.
    • n order An institution, partly imitated from the medieval and crusading orders of military monks, but generally founded by a sovereign, a national legislature, or a prince of high rank, for the purpose of rewarding meritorious service by the conferring of a dignity. Most honorary orders consist of several classes, known as knights companions, officers, commanders, grand officers, and grand commanders, otherwise called grand cross or grand cordon. Many orders have fewer classes, a few having only one. It is customary to divide honorary orders into three ranks: Those which admit only nobles of the highest rank, and among foreigners only sovereign princes or members of reigning families; of this character are the Gulden Fleece (Austria and Spain), the Elephant (Denmark), and the Garter (Great Britain): it is usual to regard these three as the existing orders of highest dignity.
    • n order Those orders which are conferred upon members of noble families only, and sometimes because of the mere fact of noble birth, without special services.
    • n order The orders of merit, which are supposed to be conferred for services only. Of these the Legion of Honor is the best-known type. Two of the orders of merit may be regarded as somewhat exceptional — the first class of the Order of St. George of Russia and the Order of Maria Theresa of Austria. The former is conferred only upon a commanding general who has defeated an army of 50,000 men, or captured the enemy's capital, or brought about an honorable peace. There is now no person living who has gained this distinction regularly, though it has been given to a foreign sovereign. Other orders of merit approach these more or less nearly, as they are conferred with more or less care. The various orders have their appropriate insignia, consisting usually of a collar of design peculiar to the order, a star, cross, jewel, badge, ribbon, or the like. It is common to speak of an order by its name alone, as the Garter, the Bath. An order is said to be conferred or bestowed upon the recipient of its distinction; the recipient is said to be decorated with such an order; and the word order is often applied to the decoration or badge. See bath, garter, knighthood, star, thistle, etc.
    • n order A series or suite; a suit or change (as of apparel).
    • n order Regular sequence or succession; succession of acts or events; course or method of action or occurrence.
    • n order Regulated succession; formal disposition or array; methodical or harmonious arrangement; hence, fit or consistent collocation of parts.
    • n order In rhetoric, the placing of words and members in a sentence in such a manner as to contribute to force and beauty of expression, or to the clear illustration of the subject.
    • n order In classical arch., a column entire (including base, shaft, and capital), with a superincumbent entablature, viewed as forming an architectural whole or the characteristic element of a style. There are five orders — Doric, Ionic, Corinthian, Tuscan, and Composite. (See these adjectives.) Every order consists of two essential parts, a column and an entablature; the column is normally divided into three parts — base, shaft, and capital; the entablature into three parts also — architrave, frieze, and cornice. The character of an order is displayed not only in its column, but in its general form and details, of which the column is, as it were, the regulator. The Tuscan and Composite are Roman orders, the other three are properly Greek, the Roman renderings of them being so different from the originals as to constitute in fact distinct orders. The Corinthian, though of purely Greek origin, did not come into extensive use before Roman authority was established throughout Greek lands.
    • n order In mathematics: In geometry, the degree of a geometrical form considered as a locus of points, or as determined by the degree of a locus of points. Newton introduced the term order as applied to plane curves. Cayley defines the order of a relation in m-dimensional space as follows: add to the conditions as many arbitrary linear conditions as are necessary to make the multiplicity of the relation equal to m; then the number of points satisfying these conditions is the order of the relation. Thus, the order of a plane curve is the number of points (real and imaginary) in which this curve is cut by an arbitrary right line. The order of a non-plane curve is the number of points in which the curve is cut by a plane. The order of a surface is the number of points in which the surface is cut by a right line. The order of a congruence is the number of points in which the congruence-lines lying in an arbitrary plane are cut by an arbitrary plane. The order of a complex is the number of points in which the curve enveloping the lines of the complex lying in an arbitrary plane is cut by an arbitrary plane.
    • n order In analysis, the number of elementary operations contained in a complex operation; also, that character of a quantity which corresponds to the degree of its algebraic expression. See the phrases below, and also equation.
    • n order Established rule, administration, system, or régime.
    • n order Prescribed law; regulation; rule; ordinance.
    • n order Authority; warrant.
    • n order Regular or customary mode of procedure; established usage; conformity to established rule or method of procedure; specifically, prescribed or customary mode of proceeding in debates or discussions, or in the conduct of deliberative or legislative bodies, public meetings, etc., or conformity with the same: as, the order of business; to rise to a point of order; the motion is not in order.
    • n order A proper state or condition; a normal, healthy, or efficient state.
    • n order Eccles., in liturgics, a stated form of divine service, or administration of a rite or ceremony, prescribed by ecclesiastical authority: as, the order of confirmation; also, the service so prescribed.
    • n order Conformity to law or established authority or usage; the desirable condition consequent upon such conformity; absence of revolt, turbulence, or confusion; public tranquillity: as, it is the duty of the government to uphold law and order.
    • n order Suitable action in view of some particular result or end; care; preparation; measures; steps: generally used in the obsolete phrase to take order.
    • n order Authoritative direction; injunction; mandate; command, whether oral or written; instruction: as, to receive orders to march; to disobey orders.
    • n order Specifically — In law, a direction of a court or judge, made or entered in writing, and not included in a judgment. A judgment is the formal determination of a trial; an order is usually the formal determination of a motion.
    • n order A written direction to pay money or deliver property: as, an order on a banker for twenty pounds; pay to A. B. or order; an order to a jeweler to return a necklace to bearer.
    • n order A direction to make, provide, or furnish anything; a commission to make purchases, supply goods, etc.: as, to give an agent an order for groceries; an order for canal stock; the work was done to order.
    • n order A free pass for admission to a theater or other place of entertainment.
    • n order See contact.
    • n order An order given by a customs collector for the storage of foreign merchandise which has not been delivered to the consignees within a certain time after its arrival in port.
    • n order In other churches, the Christian ministry, especially of the Anglican churches.
    • n order See merit.
    • n order An order founded by the duke Charles Eugene of Würtemberg in 1759.
    • n order That order in which the cause comes before the effect.
    • n order A Russian order founded in 1769 by the empress Catherine II. See def. 6 .
    • n order The prevailing rule or custom.
    • n order Not in an efficient condition: as, the watch is out of order.
    • n order In a meeting or legislative assembly, not in accordance with recognized or established rules: as, the motion is out of order.
    • n order Sick; unwell; indisposed.
    • order To put in a row or rank; place in rank or position; range.
    • order To place in the position or office of clergyman; confer clerical rank and authority upon; ordain.
    • order To arrange methodically; dispose formally or fittingly; marshal; array; arrange suitably or harmoniously.
    • order To dispose; adjust; regulate; direct; manage; govern; ordain; establish.
    • order To instruct authoritatively or imperatively; give an order or command to; command; bid: as, the general ordered the troops to advance; to order a person out of the house.
    • order To command to be made, done, issued, etc.; give a commission for; require to be supplied or furnished: as, to order goods through an agent.
    • order To carry on.
    • order To bid, require, instruct.
    • n order Specifically, in the tobacco-trade, same as case, 9.
    • n order In petrography, in the quantitative system of classification (see rock), a taxonomic division of igneous rocks which follows the class and is based on the proportions of the standard mineral subgroups within the preponderant salic or femic group on which the class is based.
    • n order In military tactics, the position of a rifle in a military drill after the command to order arms has been obeyed: as, to load from the order.
    • ***
Chambers's Twentieth Century Dictionary
  • Interesting fact: Certain frogs can reguritate their stomachs, in order to clean them (with their feet)
    • n Order or′dėr regular arrangement, method: degree, rank, or position: rule, regular system or government: command: a class, a society of persons of the same profession, &c.: a religious fraternity: a dignity conferred by a sovereign, &c., giving membership in a body, after the medieval orders of knighthood, also the distinctive insignia thereof: social rank generally: a number of genera having many important points in common: a commission to supply, purchase, or sell something: :
    • v.t Order to arrange: to conduct: to command
    • v.i Order to give command
    • adv Order regularly: methodically
    • n Order a non-commissioned officer who carries official messages for his superior officer, formerly the first sergeant of a company
    • n Order the distance of a point in a curve from a straight line, measured along another straight line at right angles to it—the distance of the point from the other of the two lines is called the abscissa, and the two lines are the axes of co-ordinates
    • n Order or′dėr (archit.) one of the different ways in which the column, with its various parts and its entablature, are moulded and related to each other: due action towards some end, esp. in old phrase 'to take order:' the sacerdotal or clerical function
    • n Order or′dėr (pl.) the several degrees or grades of the Christian ministry
    • ***

Quotations

  • Source Unknown
    Source Unknown
    “In order to change, we must be sick and tired of being sick and tired.”
  • Jean Jacques Rousseau
    Jean%20Jacques%20Rousseau
    “The training of children is a profession, where we must know how to waste time in order to save it”
  • Seneca
    Seneca
    “Fate rules the affairs of men, with no recognizable order.”
  • Ernest Benn
    Ernest Benn
    “Liberty is being free from the things we don't like in order to be slaves of the things we do like.”
  • Leslie Caron
    Leslie Caron
    “In order to have great happiness, you have to have great pain and unhappiness-otherwise how would you know when you're happy?”
  • Norman Schwarzkopf
    Norman Schwarzkopf
    “It doesn't take a hero to order men into battle. It takes a hero to be one of those men who goes into battle.”

Idioms

Apple pie order - Everything is in perfect order and tidy if it is in apple pie order.
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In apple-pie order - If something is in apple-pie order, it is very neat and organised.
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Just what the doctor ordered - If something's just what the doctor ordered, it is precisely what is needed.
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Pecking order - The pecking order is the order of importance or rank.
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Tall order - Something that is likely to be hard to achieve or fulfil is a tall order.
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Etymology

Webster's Revised Unabridged Dictionary
OE. ordre, F. ordre, fr. L. ordo, ordinis,. Cf. Ordain Ordinal
Chambers's Twentieth Century Dictionary
Fr. ordre—L. ordo, -inis.

Usage

In literature:

Wallace, having been ordered to act on the defensive, declined to move without first receiving an order.
"From Fort Henry to Corinth" by Manning Ferguson Force
So far as the question of order is concerned, I cannot see how it is that I am out of order.
"A Report of the Debates and Proceedings in the Secret Sessions of the Conference Convention" by Lucius Eugene Chittenden
In order to better his fortunes Abu Hassan hits upon a strange plan.
"The Standard Operaglass" by Charles Annesley
The sails were now bent, and Murray waited in daily expectation of receiving his sailing orders.
"The Three Commanders" by W.H.G. Kingston
Ordered one day to keep the law; ordered the next day to break the law; hounded by owners and threatened by the government!
"Blow The Man Down" by Holman Day
The order was quickly executed.
"The Three Midshipmen" by W.H.G. Kingston
He ordered him to sound the "Advance," and the command was promptly obeyed.
"A Lieutenant at Eighteen" by Oliver Optic
In order to please him, Bouvard desired to introduce Pecuchet to Barberou.
"Bouvard and Pécuchet" by Gustave Flaubert
Even when most of them had accepted his leadership and were obeying his orders, a handful of desperate men refused to go.
"Famous Sea Fights" by John Richard Hale
The order came suddenly to-day at 8 p.m. and we were ordered to be on board at 10 at V. Beach.
"The Incomparable 29th and the "River Clyde"" by George Davidson
Baker ordered the men to whip him until he loosed his grasp, but Allen stopped the execution of this order.
"The Hero of Ticonderoga" by John de Morgan
In order to give exact patterns the women had before them a piece of wood with every thread of the stripe upon it.
"An Historical Account of the Settlements of Scotch Highlanders in America" by J. P. MacLean
This is why Herr von Bethmann-Hollweg received orders to summon the British Ambassador on the night of the 29th.
"World's War Events, Vol. I" by Various
Now, suppose that there are two species of order, and that these two orders are two contraries within one and the same genus.
"Creative Evolution" by Henri Bergson
They say the order came from his office.
"The Clansman" by Thomas Dixon
He must return through himself, yet must fit into the providential order.
"Homer's Odyssey" by Denton J. Snider
Two years later he received an order to journey to Taianfu in order to arrest some robbers there.
"The Chinese Fairy Book" by Various
The earliest form of social order.
"History of Human Society" by Frank W. Blackmar
There arose in me a feeling of challenge against Germany's order which forbade American ships to sail the ocean.
""And they thought we wouldn't fight"" by Floyd Gibbons
Wise was again ordered down the Peninsula last Saturday; and again ordered back when he got under way.
"A Rebel War Clerk's Diary at the Confederate States Capital" by John Beauchamp Jones
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In poetry:

I wondered why I always felt so cold.
I wondered why the orders seemed so slow,
So slow to come, so whisperingly told,
So whisperingly low.
"Before Action" by Leon Gellert
"All my friends were at your orders:
You, when two years" time had flown,
Were to come to Rome. My warders
Then should take you for their own.
"Twardowski's Wife" by Adam Mickiewicz
"My dear man, take it, 't is but fit,
Of your king's honor be the warder;
On your breast greater grows the Order,
And we who bear it, too, by it."—
"Post Festum" by Bjornstjerne Bjornson
Nathan received his Orders from above,
To go to David and his Crime reprove;
Attend great King! to what I shall unfold,
And briefly thus the well wrought Fable told.
"Part of the Twelfth Chapter of the Second Book of Samuel" by Cornelius Arnold
Drop Thy still dews of quietness,
Till all our strivings cease;
Take from our souls the strain and stress,
And let our ordered lives confess
The beauty of Thy peace.
"The Brewing Of Soma" by John Greenleaf Whittier
I wondered if my packing-straps were tight,
And wondered why I wondered……Sound
went wild………
and order came…… I ran into the night,
wondering why I smiled.
"Before Action" by Leon Gellert

In news:

Via its turkey ordering website, customers can order organic, kosher or locally-raised birds from a variety of providers.
If you spend $25 they'll ship the order for free, so if your order is pretty close to that limit you could spend a little more and pay less overall.
The order includes options for an additional 30 CRJ900s, which would increase the order to $3.29 billion.
The automated customer-demand level scheduling integrates with existing forecasts , work orders and purchase orders.
Sterling Commerce announces its acquisition of Comergent Technologies to marry Comergent's order capturing capabilities with Sterling's order fulfillment software.
David Han, 50, was also ordered ordered by US District Judge Manuel L Real to pay more than $1 million in restitution.
This fast food tortilla grill makes each order fresh as you order it.
We ordered two omelets , and after about 50 minutes we asked the server if he might check on the order.
It's not uncommon to turn on the TV and hear about the obesity issues plaguing the US It is impossible to go to a fast food place and order anything without being asked if you want cheese on that and if you'd like to super size your order.
CLARKSVILLE — When it comes to construction, there are change orders and there are change orders.
After an initial order in June 2011, The Boeing Company has placed an additional order for portable Orbital Drilling equipment for final assembly of the 787 Dreamliner in Everett, USA.
At some point while sales were increasing 10% each year, SKUs were mounting to more than 50,000, and orders were climbing to close to 1,000 per day, time wasted managing orders also grew.
Catalogs place relatively small orders when your product is first tested, so you're not immediately overwhelmed with orders you can't fill.
They can tell which employees placed orders for materials, view order status and track shipments from one location.
Students and alumni who submit transcript requests receive real-time order updates by email, request to receive instant mobile text alerts, and can track their orders online on the transcript ordering site.
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In science:

Thus the order parameter of the absorbing phase transition vanishes in leading order as ρa ∼ δρ, i.e., the order parameter exponent is β = 1.
Absorbing phase transition in a conserved lattice gas with random neighbor particle hopping
For example, for JA = −JF = 2 and p = 0.4, the staggered magnetization for the ↑↓↑↓ order is approximately one order of magnitude smaller than that for the ↑↑↓↓ order.
Random Magnetism in $S=1/2$ Heisenberg Chains with Bond Alternation and Randomness on the Strong Bonds
When dc1 < d < dc2 , the true long-range ordered translational order in Fig.5 has only algebraic one, but true orientational order.
Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system
So QH and WC also have two completely different orders: topological order and translational order.
Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system
Note that the noncrossing partitions are often considered as being ordered by refinement; this order is quite different from the Tamari order.
Tamari lattices and noncrossing partitions in type B and beyond
The first order is in fact equivalent to the size-biased order described above, up to relabeling, and the second order could be also handled by our methods, although the marks Di would have to be defined in a different way, see .
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees
For example, an order parameter converges to a finite value in the ordered phase when the simulation starts from an ordered state.
Uniform Magnetic Order in a Ferromagnetic-Antiferromagnetic Random Alternating Quantum Spin Chain
To leading order it contains terms of second order in the momenta and of first order in the quark mass matrix.
QCD, Chiral Random Matrix Theory and Integrability
The presence of these two marginal operators (at d = 1) however remain decoupled mainly because for directed polymers, higher order interactions (order ≡ number of chains involved) do not renormalize lower order interactions.
Directed polymers and Randomness
The calculation is order by order and so, to one loop order, one cannot determine D2 , which involves u3 (two loop term ).
Directed polymers and Randomness
Considering the higher order terms could result either in appearance of narrow (of order τ ) interval of existence of such phase with second order transition points at its boundaries, or in the overlapping of stability regions of the L = 1 and L = 2 phases9 .
Glassy phases in layered Ising magnets with random interlayer exchange
E is a skewsymmetric matrix of order k , F is a symmetric matrix of order k , P is a matrix of order k × n, Q is a matrix of order n × k and D is a matrix of order n with zero trace.
Simple decompositions of simple Lie superalgebras
X is a matrix of order k with zero trace, P is a matrix of order k × n, Q is a matrix of order n × k , Y is a matrix of order n with zero trace.
Simple decompositions of simple Lie superalgebras
This result was further generalised by the author in , where it was shown that a certain class of order structures on the integers (which might possibly comprise all such order structures giving a simple ordered group) could arise as the ordered K0 -group of a simple nuclear C ∗ -algebra.
Strong perforation in infinitely generated K_0-groups of simple C*-algebras
The main difficulty that we have managed to overcome was in rigorously taking into account of both interactions and band-curvature in the lowest meaningful order of perturbation theory: second order in interactions, i.e. 2−pair excitation continuum, and second order in curvature.
Tails of the dynamical structure factor of 1D spinless fermions beyond the Tomonaga approximation
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