algebraic geometry 中文意思是什麼
algebraic geometry
解釋
代數幾何學-
It has developed from two sources: algebraic geometry and algebraic member theory.
它由兩個方面發展而來，代數幾何和代數數論。 -
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 。 -
The paper applies algebraic geometry, computational geometry, approximation theory to study the following problems : the nother type theory and the riemann - roch type theory of the piecewise algebraic curve ; the number of real intersection points of piecewise algebraic curves ; the real piecewise algebraic variety and the b - net resultant of polynomials
本文應用代數幾何，計算幾何，函數逼近論等學科的基本理論，分別就分片代數曲線的n （ ? ） ther型與riemann - roch型定理；分片代數曲線的實交點數；實分片代數簇以及多項式的b -網結式進行研究。 -
14 gallo g, mishra b. efficient algorithms and bounds for wu - ritt characteristic sets. effective methods in algebraic geometry, progress in mathematics, 1991, : 119 - 142. 15 gao x s, chou s c. a zero structure theorem for differential parametric systems
本文簡要介紹了代數方程組的特徵列方法及其在幾何定理機器證明發現與含參數代數方程求解中的應用，進一步給出了基於特徵列方法代數閉域上的一階邏輯公式的判定演算法。 -
In this paper, maccormack explicit time - split scheme, baldwin - lomax algebraic turbulent model and two - steps hydrogen - air nonequilibrium chemical kinetics model are employed to simulate the 2 - d flow fields in a fixed geometry scramjet combustor in different injecting way of fuel in different flight conditions. the results show, in the same entrance condition, the operating mode of scramjet combustor is influenced by the control of fuel
本文採用maccormack顯式時間分裂法、 b - l代數渦粘性湍流模型及氫-空氣兩步非平衡化學動力學反應模型，模擬了在不同的飛行馬赫數條件下，固定幾何的雙模態燃燒室在不同供油規律下的二維燃燒流場。 -
The piecewise algebraic curve and the piecewise algebraic variety, as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively, are new and important concepts in algebraic geometry and computational geometry. it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively )
分片代數曲線作為二元樣條函數的零點集合，分片代數簇作為一些多元樣條函數的公共零點集合，它們是代數幾何與計算幾何中一種新的重要概念，顯然也是經典代數曲線與代數簇的推廣。 -
And some other construction methods based on finite geometry, graph theory and group theory are also depicted. an algebraic construction method for ldpc codes with 8 - girth is proposed based on complete residue system. simulation results show that these codes can achieve better performance than randomly constructed regular ldpc codes over awgn channel
最後，在分析、研究現有構造方法的基礎上，基於代數中的完全剩餘系，作者提出了一種代數構造方法，使得ldpc碼對應因子圖上的圍長為8 ，並採用計算機對其性能進行了模擬，結果表明該碼能夠取得比較理想的譯碼性能。 -
Coordinate geometry and algebraic visualizations
坐標幾何和圖解代數部分 -
Second, combining with the construction principle of geometry - goppa codes, we present a kind of new algebraic - geometry code by using the properties of algebraic curves on finite fields. we determine the value of the code - length n and d imension k, and the lower bound of the minimal distances of the new algebraic - geometry code. the new algebraic - geometry code have the following characteristics : ( l ) the new code is the generalization of geometry - goppa codes and the algebraic - geometry code constructed by chaoping xing and san ling in 2000 ( 2 ) compared with brouwer ' table of the best known codes, we find more new codes, there are at least 60 new codes under two - dimension cases
其次，結合幾何goppa碼的構造原理，利用有限域上代數曲線的特點來構造代數幾何碼，確定了新的代數幾何碼的碼長n和維數k的取值，給出了最小距離d的下限，這類碼的特點是： （ 1 ）新的代數幾何碼是幾何goppa碼和新加坡國立大學chaopingxing和sanling在2000年所構造的代數幾何碼的推廣； （ 2 ）這類碼中有許多種碼的參數優于brouwer碼表，僅二維情形時，就有60多種碼優于brouwer碼表。 -
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。 -
This paper mainly study the relations between some algebraic properties of roe algebras and the coarse geometry of metric spaces, and its applications to the reduced crossed product c - algebras and the coarse baum - connes conjecture. the paper consists of two chapters
本文主要研究這類c ~ * -代數的某些性質與底空間幾何之間的聯系及其在交叉積c ~ * -代數和粗baum - connes猜測中的應用。 -
In practical level, the paper puts forward some proposes, such as " using dynamic geometry software ", " extending curriculum ' s extent ", " integrating visual geometry ", " using pattern in algebraic teaching ", " popularizing shape calculator ", " turning teacher ' s teaching concept ", and so on. in theoretical level, the paper puts forward " one base, two bases, four emphases " for our country ' s mathematics curriculum reform. namely, the reform should be based on dialectical materialism, carrying forward the fine traditions of " two bases " and " basic ability ", paying attention to students " emotion and discovering process, integration of technology, the contact between mathematics study and life a, pluralistic evaluate
在操作層面，關于「空間與圖形」內容標準提出「動態幾何軟體的應用」 、 「擴大課程的廣度」和「直觀幾何的整合」的建議，關于「數與代數」標準提出「模式的引入」和「圖形計算器的推廣」的建議，關于「統計與概率」標準提出「數學分支的整合」 、 「轉變教師的教學觀念」和「計算工具的使用」的建議；在理論探索層面，提出「一個基礎，兩個基本點，四個注重」的改革思路，即：以辯證唯物主義為哲學基礎，發揚「雙基」和「基本能力」培養的傳統優勢，注重學生的情感體驗和發現過程，注重技術與數學教學的整合，注重數學學習與學生生活空間的聯系，注重評價方式的多元化。
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