complex algebra 中文意思是什麼
complex algebra
解釋
復代數-
Irreducible representation of the odd - degree complex clifford algebra
代數的不可約表示 -
The analysis of the equilibrium problem of complex system by using the linear algebra
應用線性代數分析復雜體系的平衡問題 -
A proof of the periodicity theorem of complex clifford algebra
代數周期性定理的一個證明 -
The following topics are covered in the course : complex algebra and functions ; analyticity ; contour integration, cauchy ' s theorem ; singularities, taylor and laurent series ; residues, evaluation of integrals ; multivalued functions, potential theory in two dimensions ; fourier analysis and laplace transforms
本課程包含下列各項主題：復數代數與函數；可解析性；輪廓積分；柯西定理；奇異性，泰勒與羅倫茲級數，留數，積分的運算；多值函數，二維的勢能理論；傅立葉分析與拉普拉斯轉換。 -
Abstract : according to the principle of themodynamics and the method of linear algebra, the eqiulibrium criterion and eqiulibrium condition of the complex system have leen discussed systematically. the calculation method of eqiulibrium composition of chemical reaction, phase transfer as well as simultaneous equilibrium in the complex system have been proposed
文摘:根據熱力學原理和線性代數方法，系統地討論了復雜體系的平衡判據和平衡條件，以及復雜體系反應平衡、相變平衡，反應?相變同時平衡條件下平衡組成的計算方法，為研究復雜體系的平衡問題提供了理論依據。 -
Let h be an infinite dimensional complex hilbert space, b ( h ] the banach algebra of all bounded linear operators on h, and s ( h ) the space of all symmetric operators on h. let l be a real linear, weakly continuous rank one preserver of s ( h )
設h是無限維復的hilbert空間， b （ h ）為h上的有界線性運算元全體組成的banach代數， s （ h ）為h上的對稱運算元全體 -
This paper proves that any dipolarization in a real or complex semisimple lie algebra is symmetric. thus a complete answer to the open problem in reference 2 is gaven
本文證明半單李代數上的任何雙極化都是對稱的，從而解決了金行壯二於1993年提出的一個待解的問題.並給出了有關結果的一些應用 -
Abstract : this paper proves that any dipolarization in a real or complex semisimple lie algebra is symmetric. thus a complete answer to the open problem in reference 2 is gaven
文摘:本文證明半單李代數上的任何雙極化都是對稱的，從而解決了金行壯二於1993年提出的一個待解的問題.並給出了有關結果的一些應用 -
In this article, we study the implemetation of fpga for elliptic curve digital signature algorithm. based on number thesis 、 abstract algebra and complex thesis ， integrated information theory 、 cryptography and some specific relevant algorithm ， we ascertain the implementation of ecdsa for hardware project ： according to the design idea of hiberarchy and modularization, we adopt very high speed ic hardware description language ( vhdl ) as design input and simulate the design in every level and every model for the correct of the fundamental design. after finish the top design, we perform the whole simulation. then ， we carry out the timing simulation after the logic synthes and layout
本文從實際應用出發，研究了橢圓曲線數字簽名演算法的fpga的實現：以基本的數論理論、抽象代數和復雜度理論為依據，結合信息論、密碼學的一些知識以及一些具體的相關演算法，確定了ecdsa的硬體實現方案：按照層次化、模塊化的設計思想，採用硬體描述語言vhdl作為設計輸入進行ecdsa的硬體設計；在每個設計層次和每個模塊都進行了模擬驗證，得以保證底層設計的正確性。在確保每個模塊的設計正確后，完成對電路的頂層設計，進行總體的模擬。 -
This result is a generalization of the chevalley basis in case a simply - laced complex simple lie algebra. meanwhile, it generalizes also the corresponding chevalley forms in case affine lie algebras and 2 - extended affine lie algebras
該結果是simply - laced復半單李代數情形下chevalley基的推廣，同時也是仿射李代數和2 -擴大仿射李代數的相應chevalley結構形式的推廣。 -
Some properties of inner derivation on a complex banach algebra
代數上內導子的一些性質 -
Mathematicians are familiar with this ; common problems in algebra are more tractable when considered over the complex numbers than over the reals, even though complex arithmetic is more difficult
數學家對此很熟悉；如果將代數中的常見問題考慮成復數而不是實數時，那麼這些問題就更容易處理，盡管復數演算法較難。 -
In the area of pure mathematics, topics include number theory, abstract algebra, real and complex analysis, functional analysis, differential geometry, topology, and differential equations
在純數學的范疇，可供選讀的科目包括數論、抽象代數、實和復分析、泛函分析、微分幾何、拓撲學及微分方程理論等。 -
Application of complex functions for proving fundamental theorem in algebra
復函數在代數基本定理證明中的應用
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