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   Al Aqabah
         n 1: Jordan's port; located in southwestern Jordan on the Gulf
               of Aqaba [syn: {Al Aqabah}, {Aqaba}, {Akaba}]

English Dictionary: Alsophila by the DICT Development Group
From WordNet (r) 3.0 (2006) [wn]:
Al Capone
n
  1. United States gangster who terrorized Chicago during prohibition until arrested for tax evasion (1899-1947)
    Synonym(s): Capone, Al Capone, Alphonse Capone, Scarface
From WordNet (r) 3.0 (2006) [wn]:
al-Asifa
n
  1. a Palestinian political and military organization founded by Yasser Arafat in 1958 to work toward the creation of a Palestinian state; during the 1960s and 1970s trained terrorist and insurgent groups; "al-Fatah carried out numerous acts of international terrorism in western Europe and the Middle East in the 1970s"
    Synonym(s): al-Fatah, Fatah, al-Asifa
From WordNet (r) 3.0 (2006) [wn]:
Alaska fur seal
n
  1. of Pacific coast from Alaska southward to California [syn: Alaska fur seal, Callorhinus ursinus]
From WordNet (r) 3.0 (2006) [wn]:
Alaska Peninsula
n
  1. a peninsula of southwestern Alaska (a continuation of the Aleutian Islands)
From WordNet (r) 3.0 (2006) [wn]:
alcapton
n
  1. an acid formed as an intermediate product of the metabolism of tyrosine and phenylalanine
    Synonym(s): alkapton, alcapton, homogentisic acid
From WordNet (r) 3.0 (2006) [wn]:
alcaptonuria
n
  1. a rare recessive metabolic anomaly marked by ochronosis and the presence of alkapton in the urine
    Synonym(s): alkaptonuria, alcaptonuria
From WordNet (r) 3.0 (2006) [wn]:
Alcibiades
n
  1. ancient Athenian statesman and general in the Peloponnesian War (circa 450-404 BC)
From WordNet (r) 3.0 (2006) [wn]:
alcove
n
  1. a small recess opening off a larger room [syn: alcove, bay]
From WordNet (r) 3.0 (2006) [wn]:
Alex Boncayao Brigade
n
  1. an urban hit squad and guerrilla group of the Communist Party in the Philippines; formed in the 1980s
    Synonym(s): Alex Boncayao Brigade, ABB, Revolutionary Proletarian Army, RPA-ABB
From WordNet (r) 3.0 (2006) [wn]:
algebra
n
  1. the mathematics of generalized arithmetical operations
From WordNet (r) 3.0 (2006) [wn]:
algebraic
adj
  1. of or relating to algebra; "algebraic geometry" [syn: algebraic, algebraical]
From WordNet (r) 3.0 (2006) [wn]:
algebraic language
n
  1. an algorithmic language having statements that resemble algebraic expressions
From WordNet (r) 3.0 (2006) [wn]:
algebraic number
n
  1. root of an algebraic equation with rational coefficients
From WordNet (r) 3.0 (2006) [wn]:
algebraical
adj
  1. of or relating to algebra; "algebraic geometry" [syn: algebraic, algebraical]
From WordNet (r) 3.0 (2006) [wn]:
algebraically
adv
  1. in an algebraic manner; "algebraically determined"
From WordNet (r) 3.0 (2006) [wn]:
algebraist
n
  1. a mathematician whose specialty is algebra
From WordNet (r) 3.0 (2006) [wn]:
algophilia
n
  1. sexual pleasure derived from inflicting or experiencing pain
    Synonym(s): algolagnia, algophilia
From WordNet (r) 3.0 (2006) [wn]:
algophobia
n
  1. a morbid fear of pain
From WordNet (r) 3.0 (2006) [wn]:
algophobic
adj
  1. suffering from algophobia; abnormally afraid of pain
From WordNet (r) 3.0 (2006) [wn]:
Alice B. Toklas
n
  1. United States writer remembered as the secretary and companion of Gertrude Stein (1877-1967)
    Synonym(s): Toklas, Alice B. Toklas
From WordNet (r) 3.0 (2006) [wn]:
Alice Paul
n
  1. United States feminist (1885-1977) [syn: Paul, {Alice Paul}]
From WordNet (r) 3.0 (2006) [wn]:
alkapton
n
  1. an acid formed as an intermediate product of the metabolism of tyrosine and phenylalanine
    Synonym(s): alkapton, alcapton, homogentisic acid
From WordNet (r) 3.0 (2006) [wn]:
alkaptonuria
n
  1. a rare recessive metabolic anomaly marked by ochronosis and the presence of alkapton in the urine
    Synonym(s): alkaptonuria, alcaptonuria
From WordNet (r) 3.0 (2006) [wn]:
allocable
adj
  1. capable of being distributed [syn: allocable, allocatable, apportionable]
From WordNet (r) 3.0 (2006) [wn]:
allspice
n
  1. aromatic West Indian tree that produces allspice berries
    Synonym(s): allspice, allspice tree, pimento tree, Pimenta dioica
  2. deciduous shrubs having aromatic bark; eastern China; southwestern and eastern United States
  3. ground dried berrylike fruit of a West Indian allspice tree; suggesting combined flavors of cinnamon and nutmeg and cloves
From WordNet (r) 3.0 (2006) [wn]:
allspice tree
n
  1. tropical American tree having small white flowers and aromatic berries
    Synonym(s): allspice tree, Pimenta officinalis
  2. aromatic West Indian tree that produces allspice berries
    Synonym(s): allspice, allspice tree, pimento tree, Pimenta dioica
From WordNet (r) 3.0 (2006) [wn]:
allusive
adj
  1. characterized by indirect references; "allusive speech is characterized by allusions"
From WordNet (r) 3.0 (2006) [wn]:
allusiveness
n
  1. a quality characterized by indirect reference
From WordNet (r) 3.0 (2006) [wn]:
Alosa pseudoharengus
n
  1. shad-like food fish that runs rivers to spawn; often salted or smoked; sometimes placed in genus Pomolobus
    Synonym(s): alewife, Alosa pseudoharengus, Pomolobus pseudoharengus
From WordNet (r) 3.0 (2006) [wn]:
Alsobia
n
  1. tropical American herbs sometimes included in genus Episcia
    Synonym(s): Alsobia, genus Alsobia
From WordNet (r) 3.0 (2006) [wn]:
Alsobia dianthiflora
n
  1. low-growing creeping perennial of Central America having deeply fringed white flowers; sometimes placed in genus Episcia
    Synonym(s): lace-flower vine, Alsobia dianthiflora, Episcia dianthiflora
From WordNet (r) 3.0 (2006) [wn]:
Alsophila
n
  1. geometrid moths
    Synonym(s): Alsophila, genus Alsophila
From WordNet (r) 3.0 (2006) [wn]:
Alsophila pometaria
n
  1. North American moth with grey-winged males and wingless females; larvae are fall cankerworms
From WordNet (r) 3.0 (2006) [wn]:
awl-shaped
adj
  1. shaped like an awl
From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alcove \Al"cove\ (?; 277), n. [F. alc[93]ve, Sp. or Pg. alcoba,
      from Ar. al-quobbah arch, vault, tent.]
      1. (Arch.) A recessed portion of a room, or a small room
            opening into a larger one; especially, a recess to contain
            a bed; a lateral recess in a library.
  
      2. A small ornamental building with seats, or an arched seat,
            in a pleasure ground; a garden bower. --Cowper.
  
      3. Any natural recess analogous to an alcove or recess in an
            apartment.
  
                     The youthful wanderers found a wild alcove.
                                                                              --Falconer.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alexipharmac \A*lex`i*phar"mac\, Alexipharmacal
   \A*lex`i*phar"ma*cal\, a. & n. [See {Alexipharmic}.]
      Alexipharmic. [Obs.]

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alexipharmac \A*lex`i*phar"mac\, Alexipharmacal
   \A*lex`i*phar"ma*cal\, a. & n. [See {Alexipharmic}.]
      Alexipharmic. [Obs.]

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alexipharmic \A*lex`i*phar"mic\, Alexipharmical
   \A*lex`i*phar"mic*al\, a. [Gr. [?] keeping off poison; [?] to
      keep off + [?] drug, poison: cf. F. alexipharmaque.] (Med.)
      Expelling or counteracting poison; antidotal.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alexipharmic \A*lex`i*phar"mic\, n. (Med.)
      An antidote against poison or infection; a counterpoison.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alexipharmic \A*lex`i*phar"mic\, Alexipharmical
   \A*lex`i*phar"mic*al\, a. [Gr. [?] keeping off poison; [?] to
      keep off + [?] drug, poison: cf. F. alexipharmaque.] (Med.)
      Expelling or counteracting poison; antidotal.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alexipyretic \A*lex`i*py*ret"ic\, a. [Gr. [?] + [?] burning
      heat, fever, [?] fire.] (Med.)
      Serving to drive off fever; antifebrile. -- n. A febrifuge.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algebra \Al"ge*bra\, n. [LL. algebra, fr. Ar. al-jebr reduction
      of parts to a whole, or fractions to whole numbers, fr.
      jabara to bind together, consolidate; al-jebr
      w'almuq[be]balah reduction and comparison (by equations): cf.
      F. alg[8a]bre, It. & Sp. algebra.]
      1. (Math.) That branch of mathematics which treats of the
            relations and properties of quantity by means of letters
            and other symbols. It is applicable to those relations
            that are true of every kind of magnitude.
  
      2. A treatise on this science.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Mathematics \Math`e*mat"ics\, n. [F. math[82]matiques, pl., L.
      mathematica, sing., Gr. [?] (sc. [?]) science. See
      {Mathematic}, and {-ics}.]
      That science, or class of sciences, which treats of the exact
      relations existing between quantities or magnitudes, and of
      the methods by which, in accordance with these relations,
      quantities sought are deducible from other quantities known
      or supposed; the science of spatial and quantitative
      relations.
  
      Note: Mathematics embraces three departments, namely: 1.
               {Arithmetic}. 2. {Geometry}, including {Trigonometry}
               and {Conic Sections}. 3. {Analysis}, in which letters
               are used, including {Algebra}, {Analytical Geometry},
               and {Calculus}. Each of these divisions is divided into
               pure or abstract, which considers magnitude or quantity
               abstractly, without relation to matter; and mixed or
               applied, which treats of magnitude as subsisting in
               material bodies, and is consequently interwoven with
               physical considerations.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.
      Of or pertaining to algebra; containing an operation of
      algebra, or deduced from such operation; as, algebraic
      characters; algebraical writings.
  
      {Algebraic curve}, a curve such that the equation which
            expresses the relation between the co[94]rdinates of its
            points involves only the ordinary operations of algebra;
            -- opposed to a transcendental curve.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.
      Of or pertaining to algebra; containing an operation of
      algebra, or deduced from such operation; as, algebraic
      characters; algebraical writings.
  
      {Algebraic curve}, a curve such that the equation which
            expresses the relation between the co[94]rdinates of its
            points involves only the ordinary operations of algebra;
            -- opposed to a transcendental curve.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Function \Func"tion\, n. [L. functio, fr. fungi to perform,
      execute, akin to Skr. bhuj to enjoy, have the use of: cf. F.
      fonction. Cf. {Defunct}.]
      1. The act of executing or performing any duty, office, or
            calling; per formance. [bd]In the function of his public
            calling.[b8] --Swift.
  
      2. (Physiol.) The appropriate action of any special organ or
            part of an animal or vegetable organism; as, the function
            of the heart or the limbs; the function of leaves, sap,
            roots, etc.; life is the sum of the functions of the
            various organs and parts of the body.
  
      3. The natural or assigned action of any power or faculty, as
            of the soul, or of the intellect; the exertion of an
            energy of some determinate kind.
  
                     As the mind opens, and its functions spread. --Pope.
  
      4. The course of action which peculiarly pertains to any
            public officer in church or state; the activity
            appropriate to any business or profession.
  
                     Tradesmen . . . going about their functions. --Shak.
  
                     The malady which made him incapable of performing
                     his regal functions.                           --Macaulay.
  
      5. (Math.) A quantity so connected with another quantity,
            that if any alteration be made in the latter there will be
            a consequent alteration in the former. Each quantity is
            said to be a function of the other. Thus, the
            circumference of a circle is a function of the diameter.
            If x be a symbol to which different numerical values can
            be assigned, such expressions as x^{2}, 3^{x}, Log. x, and
            Sin. x, are all functions of x.
  
      {Algebraic function}, a quantity whose connection with the
            variable is expressed by an equation that involves only
            the algebraic operations of addition, subtraction,
            multiplication, division, raising to a given power, and
            extracting a given root; -- opposed to transcendental
            function.
  
      {Arbitrary function}. See under {Arbitrary}.
  
      {Calculus of functions}. See under {Calculus}.
  
      {Carnot's function} (Thermo-dynamics), a relation between the
            amount of heat given off by a source of heat, and the work
            which can be done by it. It is approximately equal to the
            mechanical equivalent of the thermal unit divided by the
            number expressing the temperature in degrees of the air
            thermometer, reckoned from its zero of expansion.
  
      {Circular functions}. See {Inverse trigonometrical functions}
            (below). -- Continuous function, a quantity that has no
            interruption in the continuity of its real values, as the
            variable changes between any specified limits.
  
      {Discontinuous function}. See under {Discontinuous}.
  
      {Elliptic functions}, a large and important class of
            functions, so called because one of the forms expresses
            the relation of the arc of an ellipse to the straight
            lines connected therewith.
  
      {Explicit function}, a quantity directly expressed in terms
            of the independently varying quantity; thus, in the
            equations y = 6x^{2}, y = 10 -x^{3}, the quantity y is an
            explicit function of x.
  
      {Implicit function}, a quantity whose relation to the
            variable is expressed indirectly by an equation; thus, y
            in the equation x^{2} + y^{2} = 100 is an implicit
            function of x.
  
      {Inverse trigonometrical functions}, [or] {Circular
      function}, the lengths of arcs relative to the sines,
            tangents, etc. Thus, AB is the arc whose sine is BD, and
            (if the length of BD is x) is written sin ^{-1}x, and so
            of the other lines. See {Trigonometrical function}
            (below). Other transcendental functions are the
            exponential functions, the elliptic functions, the gamma
            functions, the theta functions, etc.
  
      {One-valued function}, a quantity that has one, and only one,
            value for each value of the variable. -- {Transcendental
      functions}, a quantity whose connection with the variable
            cannot be expressed by algebraic operations; thus, y in
            the equation y = 10^{x} is a transcendental function of x.
            See {Algebraic function} (above). -- {Trigonometrical
      function}, a quantity whose relation to the variable is the
            same as that of a certain straight line drawn in a circle
            whose radius is unity, to the length of a corresponding
            are of the circle. Let AB be an arc in a circle, whose
            radius OA is unity let AC be a quadrant, and let OC, DB,
            and AF be drawnpependicular to OA, and EB and CG parallel
            to OA, and let OB be produced to G and F. E Then BD is the
            sine of the arc AB; OD or EB is the cosine, AF is the
            tangent, CG is the cotangent, OF is the secant OG is the
            cosecant, AD is the versed sine, and CE is the coversed
            sine of the are AB. If the length of AB be represented by
            x (OA being unity) then the lengths of Functions. these
            lines (OA being unity) are the trigonometrical functions
            of x, and are written sin x, cos x, tan x (or tang x), cot
            x, sec x, cosec x, versin x, coversin x. These quantities
            are also considered as functions of the angle BOA.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Sum \Sum\, n. [OE. summe, somme, OF. sume, some, F. somme, L.
      summa, fr. summus highest, a superlative from sub under. See
      {Sub-}, and cf. {Supreme}.]
      1. The aggregate of two or more numbers, magnitudes,
            quantities, or particulars; the amount or whole of any
            number of individuals or particulars added together; as,
            the sum of 5 and 7 is 12.
  
                     Take ye the sum of all the congregation. --Num. i.
                                                                              2.
  
      Note: Sum is now commonly applied to an aggregate of numbers,
               and number to an aggregate of persons or things.
  
      2. A quantity of money or currency; any amount, indefinitely;
            as, a sum of money; a small sum, or a large sum. [bd]The
            sum of forty pound.[b8] --Chaucer.
  
                     With a great sum obtained I this freedom. --Acts
                                                                              xxii. 28.
  
      3. The principal points or thoughts when viewed together; the
            amount; the substance; compendium; as, this is the sum of
            all the evidence in the case; this is the sum and
            substance of his objections.
  
      4. Height; completion; utmost degree.
  
                     Thus have I told thee all my state, and brought My
                     story to the sum of earthly bliss.      --Milton.
  
      5. (Arith.) A problem to be solved, or an example to be
            wrought out. --Macaulay.
  
                     A sum in arithmetic wherein a flaw discovered at a
                     particular point is ipso facto fatal to the whole.
                                                                              --Gladstone.
  
                     A large sheet of paper . . . covered with long sums.
                                                                              --Dickens.
  
      {Algebraic sum}, as distinguished from arithmetical sum, the
            aggregate of two or more numbers or quantities taken with
            regard to their signs, as + or -, according to the rules
            of addition in algebra; thus, the algebraic sum of -2, 8,
            and -1 is 5.
  
      {In sum}, in short; in brief. [Obs.] [bd]In sum, the gospel .
            . . prescribes every virtue to our conduct, and forbids
            every sin.[b8] --Rogers.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.
      Of or pertaining to algebra; containing an operation of
      algebra, or deduced from such operation; as, algebraic
      characters; algebraical writings.
  
      {Algebraic curve}, a curve such that the equation which
            expresses the relation between the co[94]rdinates of its
            points involves only the ordinary operations of algebra;
            -- opposed to a transcendental curve.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algebraically \Al`ge*bra"ic*al*ly\, adv.
      By algebraic process.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algebraist \Al"ge*bra`ist\, n.
      One versed in algebra.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algebraize \Al"ge*bra*ize\, v. t.
      To perform by algebra; to reduce to algebraic form.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Algific \Al*gif"ic\, a. [L. algificus, fr. algus cold + facere
      to make.]
      Producing cold.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Aliseptal \Al`i*sep"tal\, a. [L. ala wing + E. septal.] (Anat.)
      Relating to expansions of the nasal septum.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alisphenoid \Al`i*sphe"noid\, Alisphenoidal \Al`i*sphe*noid"al\,
      a. [L. ala wing + E. sphenoid.] (Anat.)
      Pertaining to or forming the wing of the sphenoid; relating
      to a bone in the base of the skull, which in the adult is
      often consolidated with the sphenoid; as, alisphenoid bone;
      alisphenoid canal.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alisphenoid \Al`i*sphe"noid\, n. (Anat.)
      The alisphenoid bone.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Alisphenoid \Al`i*sphe"noid\, Alisphenoidal \Al`i*sphe*noid"al\,
      a. [L. ala wing + E. sphenoid.] (Anat.)
      Pertaining to or forming the wing of the sphenoid; relating
      to a bone in the base of the skull, which in the adult is
      often consolidated with the sphenoid; as, alisphenoid bone;
      alisphenoid canal.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Allegeable \Al*lege"a*ble\, a.
      Capable of being alleged or affirmed.
  
               The most authentic examples allegeable in the case.
                                                                              --South.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Allspice \All"spice`\, n.
      The berry of the pimento ({Eugenia pimenta}), a tree of the
      West Indies; a spice of a mildly pungent taste, and agreeably
      aromatic; Jamaica pepper; pimento. It has been supposed to
      combine the flavor of cinnamon, nutmegs, and cloves; and
      hence the name. The name is also given to other aromatic
      shrubs; as, the {Carolina allspice} ({Calycanthus floridus});
      {wild allspice} ({Lindera benzoin}), called also {spicebush},
      {spicewood}, and {feverbush}.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Allusive \Al*lu"sive\, a.
      1. Figurative; symbolical.
  
      2. Having reference to something not fully expressed;
            containing an allusion.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Allusively \Al*lu"sive*ly\, adv.
      Figuratively [Obs.]; by way of allusion; by implication,
      suggestion, or insinuation.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Allusiveness \Al*lu"sive*ness\, n.
      The quality of being allusive.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Porbeagle \Por"bea`gle\, n. (Zo[94]l.)
      A species of shark ({Lamna cornubica}), about eight feet
      long, having a pointed nose and a crescent-shaped tail; --
      called also {mackerel shark}. [Written {also probeagle}.]

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Barn \Barn\, n. [OE. bern, AS. berern, bern; bere barley + ern,
      [91]rn, a close place. [?]92. See {Barley}.]
      A covered building used chiefly for storing grain, hay, and
      other productions of a farm. In the United States a part of
      the barn is often used for stables.
  
      {Barn owl} (Zo[94]l.), an owl of Europe and America ({Aluco
            flammeus}, or {Strix flammea}), which frequents barns and
            other buildings.
  
      {Barn swallow} (Zo[94]l.), the common American swallow
            ({Hirundo horreorum}), which attaches its nest of mud to
            the beams and rafters of barns.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Awl-shaped \Awl"-shaped`\, a.
      1. Shaped like an awl.
  
      2. (Nat. Hist.) Subulate. See {Subulate}. --Gray.

From U.S. Gazetteer (1990) [gazetteer]:
   Alcova, WY
      Zip code(s): 82620

From U.S. Gazetteer (1990) [gazetteer]:
   Alcove, NY
      Zip code(s): 12007

From U.S. Gazetteer (1990) [gazetteer]:
   Aliceville, AL (city, FIPS 1228)
      Location: 33.12508 N, 88.15800 W
      Population (1990): 3009 (1293 housing units)
      Area: 11.6 sq km (land), 0.0 sq km (water)
      Zip code(s): 35442

From U.S. Gazetteer (1990) [gazetteer]:
   Aliquippa, PA (city, FIPS 820)
      Location: 40.61740 N, 80.25504 W
      Population (1990): 13374 (6118 housing units)
      Area: 10.6 sq km (land), 1.0 sq km (water)

From U.S. Gazetteer (1990) [gazetteer]:
   Aliso Viejo, CA (CDP, FIPS 947)
      Location: 33.56754 N, 117.72531 W
      Population (1990): 7612 (3884 housing units)
      Area: 25.4 sq km (land), 0.0 sq km (water)
      Zip code(s): 92656

From U.S. Gazetteer (1990) [gazetteer]:
   Alkabo, ND
      Zip code(s): 58845

From U.S. Gazetteer (1990) [gazetteer]:
   Alsip, IL (village, FIPS 1010)
      Location: 41.67035 N, 87.73578 W
      Population (1990): 18227 (7144 housing units)
      Area: 16.3 sq km (land), 0.4 sq km (water)
      Zip code(s): 60658

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   algebra
  
      1. A loose term for an {algebraic
      structure}.
  
      2. A {vector space} that is also a {ring}, where the vector
      space and the ring share the same addition operation and are
      related in certain other ways.
  
      An example algebra is the set of 2x2 {matrices} with {real
      numbers} as entries, with the usual operations of addition and
      matrix multiplication, and the usual {scalar} multiplication.
      Another example is the set of all {polynomials} with real
      coefficients, with the usual operations.
  
      In more detail, we have:
  
      (1) an underlying {set},
  
      (2) a {field} of {scalars},
  
      (3) an operation of scalar multiplication, whose input is a
      scalar and a member of the underlying set and whose output is
      a member of the underlying set, just as in a {vector space},
  
      (4) an operation of addition of members of the underlying set,
      whose input is an {ordered pair} of such members and whose
      output is one such member, just as in a vector space or a
      ring,
  
      (5) an operation of multiplication of members of the
      underlying set, whose input is an ordered pair of such members
      and whose output is one such member, just as in a ring.
  
      This whole thing constitutes an `algebra' iff:
  
      (1) it is a vector space if you discard item (5) and
  
      (2) it is a ring if you discard (2) and (3) and
  
      (3) for any scalar r and any two members A, B of the
      underlying set we have r(AB) = (rA)B = A(rB).   In other words
      it doesn't matter whether you multiply members of the algebra
      first and then multiply by the scalar, or multiply one of them
      by the scalar first and then multiply the two members of the
      algebra.   Note that the A comes before the B because the
      multiplication is in some cases not commutative, e.g. the
      matrix example.
  
      Another example (an example of a {Banach algebra}) is the set
      of all {bounded} {linear operators} on a {Hilbert space}, with
      the usual {norm}.   The multiplication is the operation of
      {composition} of operators, and the addition and scalar
      multiplication are just what you would expect.
  
      Two other examples are {tensor algebras} and {Clifford
      algebras}.
  
      [I. N. Herstein, "Topics_in_Algebra"].
  
      (1999-07-14)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   Algebra of Communicating Processes
  
      (ACP)
  
      Compare {CCS}.
  
      ["Algebra of Communicating Processes with Abstraction",
      J.A. Bergstra & J.W. Klop, Theor Comp Sci 37(1):77-121 1985].
  
      [Summary?]
  
      (1994-11-08)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   algebraic
  
      In {domain theory}, a {complete partial order} is
      algebraic if every element is the {least upper bound} of some
      {chain} of {compact} elements.   If the set of compact elements
      is {countable} it is called {omega-algebraic}.
  
      [Significance?]
  
      (1995-04-25)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   ALGEBRAIC
  
      An early system on {MIT}'s {Whirlwind}.
  
      [CACM 2(5):16 (May 1959)].
  
      (1995-01-24)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   algebraic
  
      In {domain theory}, a {complete partial order} is
      algebraic if every element is the {least upper bound} of some
      {chain} of {compact} elements.   If the set of compact elements
      is {countable} it is called {omega-algebraic}.
  
      [Significance?]
  
      (1995-04-25)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   ALGEBRAIC
  
      An early system on {MIT}'s {Whirlwind}.
  
      [CACM 2(5):16 (May 1959)].
  
      (1995-01-24)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   algebraic data type
  
      (Or "sum of products type") In {functional
      programming}, new types can be defined, each of which has one
      or more {constructor}s.   Such a type is known as an algebraic
      data type.   E.g. in {Haskell} we can define a new type,
      "Tree":
  
      data Tree = Empty | Leaf Int | Node Tree Tree
  
      with constructors "Empty", "Leaf" and "Node".   The
      constructors can be used much like functions in that they can
      be (partially) applied to arguments of the appropriate type.
      For example, the Leaf constructor has the functional type Int
      -> Tree.
  
      A constructor application cannot be reduced (evaluated) like a
      function application though since it is already in {normal
      form}.   Functions which operate on algebraic data types can be
      defined using {pattern matching}:
  
      depth :: Tree -> Int
      depth Empty = 0
      depth (Leaf n) = 1
      depth (Node l r) = 1 + max (depth l) (depth r)
  
      The most common algebraic data type is the list which has
      constructors Nil and Cons, written in Haskell using the
      special syntax "[]" for Nil and infix ":" for Cons.
  
      Special cases of algebraic types are {product type}s (only one
      constructor) and {enumeration type}s (many constructors with
      no arguments).   Algebraic types are one kind of {constructed
      type} (i.e. a type formed by combining other types).
  
      An algebraic data type may also be an {abstract data type}
      (ADT) if it is exported from a {module} without its
      constructors.   Objects of such a type can only be manipulated
      using functions defined in the same {module} as the type
      itself.
  
      In {set theory} the equivalent of an algebraic data type is a
      {discriminated union} - a set whose elements consist of a tag
      (equivalent to a constructor) and an object of a type
      corresponding to the tag (equivalent to the constructor
      arguments).
  
      (1994-11-23)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   Algebraic Interpretive Dialogue
  
      (AID) A version of {Joss} II for the {PDP-10}.
  
      ["AID (Algebraic Interpretive Dialogue)", DEC manual, 1968].
  
      (1995-04-12)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   Algebraic Logic Functional language
  
      (ALF) A language by Rudolf Opalla
      which combines
      {functional programming} and {logic programming} techniques.
  
      ALF is based on {Horn clause} logic with equality which
      consists of {predicate}s and Horn clauses for {logic
      programming}, and functions and equations for {functional
      programming}.   Any functional expression can be used in a
      {goal} literal and arbitrary predicates can occur in
      conditions of equations.   ALF uses {narrowing} and
      {rewriting}.
  
      ALF includes a compiler to {Warren Abstract Machine} code and
      {run-time support}.
  
      {(ftp://ftp.germany.eu.net/pub/programming/languages/LogicFunctional)}.
  
      ["The Implementation of the Functional-Logic Language ALF",
      M. Hanus and A. Schwab].
  
      (1992-10-08)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   Algebraic Manipulation Package
  
      (AMP) A {symbolic mathematics} program
      written in {Modula-2}, seen on {CompuServe}.
  
      (1994-10-19)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   Algebraic Specification Language
  
      1. (ASL)
  
      ["Structured Algebraic Specifications: A Kernel Language",
      M. Wirsing, Theor Comput Sci 42, pp.123-249, Elsevier 1986].
  
      2. (ASF) A language for equational specification of
      {abstract data types}.
  
      ["Algebraic Specification", J.A. Bergstra et al, A-W 1989].
  
      (1995-12-13)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   algebraic structure
  
      Any formal mathematical system consisting of a
      set of objects and operations on those objects.   Examples are
      {Boolean algebra}, numerical algebra, set algebra and matrix
      algebra.
  
      [Is this the most common name for this concept?]
  
      (1997-02-25)
  
  

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   ALJABR
  
      An implementation of {MACSYMA} for the {Macintosh} by
      {Fort Pond Research}.
  
      (1995-02-21)
  
  
No guarantee of accuracy or completeness!
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