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单词 algebraic
释义

algebraic

/ˌaldʒɪˈbreɪɪk /
adjective
1Relating to or involving algebra.The papers look at algebraic curves, the Riemann Roch theorem and algebraic polynomials....
  • Betti extended and gave proofs relating to the algebraic concepts of Galois theory.
  • Fermat preferred the algebraic techniques that he used to such devastating effect in number theory.
1.1Denoting 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.The OR gates and AND gates you can read about in books that describe how computers work correspond directly to Boole's algebraic operations of addition and multiplication....
  • It has proved to be the computational method of choice for symbolic manipulation in algebraic geometry, differential equations, and combinatorics.
  • Paniker not only played upon the abstraction of the words and scripts but also incorporated mathematical formulae, algebraic equations and diagrams of horoscopes.

Derivatives

algebraical

adjective ...
  • ‘We may say most aptly that the Analytical Engine weaves algebraical patterns just as the Jacquard loom weaves flowers and leaves’ - Lovelace describing the Analytical Engine in the ‘Notes’.
  • It was unfortunate for him that already in the 1920's the fashion in algebraical research had drastically changed, and his original work on invariants did not receive the recognition which it would have found two decades earlier.
  • Sumner was informed that a learned mathematician had discovered an algebraical demonstration of the existence of God and would present it before the audience.

algebraically

adverb ...
  • The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement.
  • Lagrange's main object was to find out why cubic and quartic equations could be solved algebraically.
  • Some rate Severi's discovery of a base of algebraically independent curves on any surface as his most important contribution.

Rhymes

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更新时间:2025/1/9 21:36:34