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algebra 中文解釋 wordnet sense Collocation Usage Collins Definition
Noun
/ˈaljəbrə/,
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algebras, plural;
  1. The part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations

  2. A system of this based on given axioms


  1. the mathematics of generalized arithmetical operations
  2. (algebraic) of or relating to algebra; "algebraic geometry"
  3. Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. ...
  4. The term *-algebra is defined below after first defining a *-ring.
  5. Algebra is one of the main branches of mathematics. The term is also used in other ways.
  6. In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R.
  7. Algebra (Algebra Felicia Blesset, born in 1976 in Atlanta, Georgia) is a contemporary R&B singer.
  8. (Algebraic (logic)) In mathematical logic, an algebraic definition is one that can be given using only equations between terms with free variables. Inequalities and quantifiers are specifically disallowed.
  9. A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols; The study of algebraic structures; A universal algebra; An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that ...
  10. (algebraic) Of, or relating to, algebra; Containing only numbers, letters, and arithmetic operators; Which is a root of some polynomial; Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point ...
  11. (Algebraic) This is the most common, most concise, and most powerful representation: 2x + 6 2x + 6 . Note that in an algebraic representation, the input number is represented as a variable (in this case, an x x ).
  12. A branch of mathematics pioneered by Islamic mathematician al-Khwarizimi in which letters are used to represent unknown numbers to generalize arithmetic.
  13. An algebra is a structure A which is a vector space over a field F, which also has an operation of multiplication, with some obvious rules connecting the scalar multiplication with the algebra multiplication. ...
  14. A branch of mathematics. Originally (and still in high school context), it refers to the art of calculating with unknown quantities, represented by letters. ...
  15. Hold it. If you don't know what algebra is (a bunch of letters like x and y and a bunch of rules for playing around with them), then you shouldn't be taking calculus. Return to GO, do not collect $200.
  16. A form of advanced arithmetic in which letters of the alphabet represent unknown numbers. Children use simple algebra when they solve a problem such as 4 + ? =7 (a problem they would phrase as "4 + x = 7" when they get older and begin to study algebra).
  17. Algebra is a major theme in my research. For further details, click here.
  18. Teacher of mathematics in which arithmetic operations are usually applied with symbols rather than specific numbers. Algebra includes school personnel with the job titles Advanced Algebra and Pre-Algebra.
  19. is a branch of mathematics concerning the study of structure, relation and quantity. The name is derived from the treatise written by the Persian mathematician Muhammad ibn Mūsā al-Khwārizmī titled (in Arabic كتاب الجبر والمقابلة )Al-Kitab al-Jabr wa-l-Muqabala (meaning "The Compendious Book on ...
  20. algebra. From the name of al-Khwarizmi' book Hisab al-jabr w’al-muqabala "The Calculus of Subtraction and Equality."
  21. Algebra is a continuation and extension of the rules of arithmetic into a more general level.
  22. The generalization and representation of symbolic form, usually deals with letters instead of numbers. Algebra is now a general method applicable to all areas of mathematics.
  23. A set of functions A is an algebra if f, g Î A,  J Î \mathbb R Þ f + g Î A,  f ·g Î A,   and   J f Î A.
  24. a problem in which one or more number is unknown.
  25. statements of relations of numbers using symbols and letters to represent values