algebraic algebra 中文意思是什麼

algebraic algebra 解釋
代數的代數
  • algebraic : adj. 代數的，代數學（上）的。adv. -ically 代數學上。
  • algebra : n. 代數學。
  1. Heron also translated much of the greek geometrical algebra into arithmetic and algebraic processes.

    Heron又把不少希臘的幾何代數翻譯成算術和代數步驟。
  2. Abstract : direct limit and inverse limit are the methods producing new algebra in universal algebra. in order to further study the production of the new algebra, authors define the family of duplicate set and duplicate limit, discuss the algebraic duplicate limit, the characterestics of the once more duplicate direct set and more duplicate direct limit, the family of once more duplicate direct direct algebra and the limit of once more duplicate algebraic set family

    文摘:直極限和逆極限是泛代數中生成新代數的方法，為了進一步研究新代數的生成，筆者給出了重集族和重極限的定義，討論了代數的重極限；其次研究了二重直集族和二重直極限及相應性質，討論了二重直代數族和二重直代數族的極限
  3. Eisenbud, david. commutative algebra with a view toward algebraic geometry. vol. 150, graduate texts in mathematics. new york : springer - verlag, 1994. isbn : 0387942696

    《用代數幾何的觀點的交換代數》 。研究生數學教材第150卷。紐約：斯普林格出版社， 1994年版。書號： 0387942696 。
  4. Difference from other algebraic structures which are introduced for some logic system, implication algebra is a abstraction of one logic connective, i. e. implicative operator, and other operators in it are all introduced by implicative operator. the main results of this paper is given as the following : 1

    特別值得提出的是，與其它為研究邏輯系統而引入的代數結構不同，蘊涵代數是對一個邏輯聯結詞，即蘊涵運算元（蘊涵邏輯聯結詞）抽象而得到的，其它運算元均是由蘊涵運算元誘導而得到。
  5. This paper first illustrated a classification of congruence decomposition on n ( 2, 2, 0 ) algebra, then discussed the algebraic structure of the quotient algebra and a classification of converse image under the natural homomorphism

    摘要對n （ 2 ， 2 ， 0 ）代數給出了一類同余分解，探討了其商代數的代數結構以及自然同態下一類逆象的代數結構。
  6. In this paper, a new type algebra is introduced, it is the algebraic abstract of mpm system just as boolean algebra is the algebraic abstract of 2 - valued propositional calculus. the main purpose of this paper is to investigate the various properties of the new algebra. in addition, this paper constructs an axiom set based on the medium logic propositional calculus system mpm, and gives a proof of its completeness

    本文通過對mpm中介邏輯命題演算系統進行代數抽象，建立了一個新的代數系統，討論了該代數系統的性質，並利用該代數系統的代數性質構造了中介命題演算系統mpm上的一個公理完備集合，使用該公理集合可以方便的推導出mpm上的等值和互推公式，這對于處理不完全信息數據庫的查詢優化有著重要作用。
  7. Fuzzy logic is studied with algebraic tools in this paper. a kind of algebraic abstract of fuzzy logic, implication algebra on a partial ordered set, is given. the relations between implication algebra and other algebraic structures, such as mv - algebra and heyting algebra etc., and the filter and the structure of implication algebra on a partial ordered set are studied

    本文的目的是使用代數工具對模糊邏輯進行研究，給出模糊邏輯的一類代數抽象，即偏序集上的蘊涵代數，研究偏序集上蘊涵代數與其它代數結構，如mv -代數， heyting代數之間的關系，以及偏序集上蘊涵代數的濾子與其結構等。
  8. Lower degree hochschild cohomology group have a very concrete interpretation of classic algebraic structure, especially, there are inner connection between 1 hochschild cohomology group and simply connected algebra

    低次的hochschild上同調群對于典型的代數的結構有具體的解釋，尤其是一次的hochschild上同調群與單連通代數有著內在的聯系。
  9. Lattice implication algebra is an algebraic system combinating lattice with implication algebra. it is first defined by professor xu yang in order to study lattice - valued logic

    格蘊涵代數是徐揚教授為研究格值邏輯把格與蘊涵代數相結合提出的一個代數系統。
  10. Based on the course of " abstract algebra ", this paper aims to discuss how to develop students ' mathematical ability and interests and how to implement the education for all - round development from the following four sides : " establishing algebraic system, studying algebraic system, differentiating algebraic system and using algebraic system "

    摘要從「抽象代數」課程的角度，圍繞「建立代數體系、研究代數體系、區分代數體系、應用代數體系」四個方面，討論教學過程中如何培養學生的數學能力和數學素質，如何實施素質教育。
  11. Linear algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old euclid g eometry. the concept of " linear space " is a kind of algebraic abstract. in many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined

    線性代數主要是研究有限維線性空間及其線性變換這一代數結構的學科，而線性概念究其根源則是來自古老的euclid幾何，線性空間概念是幾何空間的一種代數抽象，在現代工程技術的許多領域里，由於計算機及圖形顯示的強大威力，幾何問題的代數化處理，代數問題的可視化處理，把代數與幾何更加緊密地結合在一起。
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