English-Thai Dictionary

algebra

N พีชค ณิต  pi-cha-ka-nid

 

algebraic

ADJ เกี่ยวกับ พีชค ณิต  kiao-kab-pi-cha-ka-nid

 

algebraist

N ผู้เชี่ยวชาญ พีชค ณิต 

 

Webster's 1828 Dictionary

ALGEBRA

n.[Ar. the reduction of parts to a whole, or fractions to whole numbers from the verb, which signifies to consolidate; Heb. to be strong. ] The science of quantity in general, or universal arithmetic. Algebra is a general method computation, in which signs and symbols, which are commonly the letters of the alphabet, are made to represent numbers and quantities. It takes an known quantity sought, as if granted; and, by means of one or more quantities given, proceeds till the quantity supposed is discovered, by some other known quantity to which it is equal.
This science was of Oriental discovery; but whether among the Arabians or Indians, is uncertain.

 

ALGEBRAIC, ALGEBRAICAL

a.Pertaining to algebra; containing an operation of Algebra, or deduced from such operation. Algebraic curve, a figure whose intercepted diameters bear always the same proportion to their respective ordinates.

 

ALGEBRAIST

n.One who is versed in the science of algebra.

 

Webster's 1913 Dictionary

ALGEBRA

Al "ge *bra, n. Etym: [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'almuqabalah reduction and comparison (by equations ): cf. F. algèbre, It. & Sp. algebra. ]

 

1. (Math. )

 

Defn: 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.

 

ALGEBRAIC; ALGEBRAICAL

ALGEBRAIC; ALGEBRAICAL Al `ge *bra "ic, Al `ge *bra "ic *al, a.

 

Defn: 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 coördinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.

 

ALGEBRAICALLY

ALGEBRAICALLY Al `ge *bra "ic *al *ly, adv.

 

Defn: By algebraic process.

 

ALGEBRAIST

ALGEBRAIST Al "ge *bra `ist, n.

 

Defn: One versed in algebra.

 

ALGEBRAIZE

ALGEBRAIZE Al "ge *bra *ize, v. t.

 

Defn: To perform by algebra; to reduce to algebraic form.

 

New American Oxford Dictionary

algebra

al ge bra |ˈaljəbrə ˈælʤəbrə | ▶noun the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations. • a system of this based on given axioms. DERIVATIVES al ge bra ist |-ˌbrā -ist |noun ORIGIN late Middle English: from Italian, Spanish, and medieval Latin, from Arabic al-jabr ‘the reunion of broken parts, ’ ‘bone setting, ’ from jabara ‘reunite, restore. ’ The original sense, ‘the surgical treatment of fractures, ’ probably came via Spanish, in which it survives; the mathematical sense comes from the title of a book, ʿilm al-jabr wa'l-muḳābala ‘the science of restoring what is missing and equating like with like, ’ by the mathematician al-Ḵwārizmī (see algorithm ).

 

algebraic

al ge bra ic |ˌaljəˈbrā -ik ˌælʤəˈbreɪɪk | ▶adjective relating to or involving algebra. • (of a mathematical expression or equation ) in which a finite number of symbols is combined using only the operations of addition, subtraction, multiplication, division, and exponentiation with constant rational exponents. Compare with transcendental. DERIVATIVES al ge bra i cal adverb, al ge bra i cal ly adverb

 

Oxford Dictionary

algebra

algebra |ˈaldʒɪbrə | ▶noun [ mass noun ] the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations. • a system of algebra based on given axioms. DERIVATIVES algebraist |ˌaldʒɪˈbreɪɪst |noun ORIGIN late Middle English: from Italian, Spanish, and medieval Latin, from Arabic al-jabr ‘the reunion of broken parts ’, ‘bone-setting ’, from jabara ‘reunite, restore ’. The original sense, ‘the surgical treatment of fractures ’, probably came via Spanish, in which it survives; the mathematical sense comes from the title of a book, ‘ilm al-jabr wa'l-muqābala ‘the science of restoring what is missing and equating like with like ’, by the mathematician al-Ḵwārizmī (see algorithm ).

 

algebraic

al ¦ge |bra ¦ic |ˌaldʒɪˈbreɪɪk | ▶adjective relating to or involving algebra. • denoting a mathematical expression or equation in which a finite number of symbols are combined using only the operations of addition, subtraction, multiplication, division, and exponentiation with constant rational exponents. Compare with transcendental. DERIVATIVES algebraical adjective, algebraically adverb

 

Duden Dictionary

Algebra

Al ge b ra , Al ge bra Substantiv, feminin Mathematik , die |A lgebra österreichisch und schweizerisch alˈgeːbra |die Algebra; Genitiv: der Algebra, Algebren arabisch al-ǧabr, eigentlich = die Einrenkung (gebrochener Teile )a Lehre von den Gleichungen; Theorie der Verknüpfungen mathematischer Strukturen b algebraische Struktur

 

Algebraiker

Al ge b ra i ker Substantiv, maskulin , der |Algebr a iker |der Algebraiker; Genitiv: des Algebraikers, Plural: die Algebraiker jemand, der berufsmäßig Algebra betreibt

 

Algebraikerin

Al ge b ra i ke rin Substantiv, feminin , die |Algebr a ikerin |die Algebraikerin; Genitiv: der Algebraikerin, Plural: die Algebraikerinnen weibliche Form zu Algebraiker

 

algebraisch

al ge b ra isch, al ge bra isch Adjektiv |algebr a isch |die Algebra betreffend eine algebraische Gleichung, Funktion, Zahl | algebraische Struktur (Menge von Elementen mit den zwischen ihnen definierten Verknüpfungen )

 

Spanish Dictionary

álgebra

álgebra nombre femenino Parte de las matemáticas que trata de la cantidad en general, representándola por medio de letras u otros signos :en el álgebra, se generalizan las operaciones aritméticas; los árabes eran maestros del álgebra y de la alquimia .ETIMOLOGÍA Préstamo (s. xv ) del latín algebra y este del árabe alǧabru ‘reducción ’, ‘álgebra matemática ’, derivado de la raíz g-b-r ‘reforzar ’, ‘curar ’, ‘restituir ’, aplicado primero a la técnica de restituir a su lugar los huesos dislocados y después a las matemáticas, para designar la reducción o simplificación de los cálculos con cifras (V.) árabes .En singular se utiliza con los determinantes el, un , salvo que entre el determinante y el nombre haya otra palabra: el álgebra, la propia álgebra .

 

algebraico, -ca

algebraico, -ca adjetivo Del álgebra o relacionado con ella :cálculo algebraico; ecuación algebraica . VÉASE expresión algebraica .

 

Sanseido Wisdom Dictionary

algebra

al ge bra /ǽldʒɪbrə /名詞 1 U 代数 (学 ).2 C 代数教科書 ; 代数学の論文 .al ge bra ic /æ̀ldʒɪbréɪɪk /形容詞 à l ge br á i cal ly 副詞