零代數 的英文怎麼說
中文拼音 [língdàishǔ]
零代數
英文
null algebra; zero algebra-
A very satisfactory answer can be given in terms of the appropriate analytic generalization of the algebraic concept of nilpotence.
將代數學中的冪零元概念作適當的解析學上的推廣,可以繪出一個很滿意回答。Between 1000 b. c. and 1000 a. d. various treatises on mathematics were authored by indian mathematicians in which were set forth for the first time, the concept of zero, the techniques of algebra and algorithm, square root and cube root
在公元前1000年至公元1000年之間,由印度數學家所寫的各種數學論文首次闡明了出來,零的概念,代數和運演算法則的技巧,平方根與立方根都闡明了出來。In this paper, we construct a class of indecomposable solvable lie algebras of dimension 5 with the simplest filiform nilradicals over complex field
摘要構造了復數域上維數為5的以最簡線狀李代數為冪零根基的不可分解可解李代數。On the new singular direction of zero order algebroidal function
關于零級代數體函數的一類新的奇異方向On the new singular direction of zero order algebroidal function in the unit circle
單位圓內零級代數體函數的一類新奇異方向In order to characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility, we first study the case of the binary boolean algebra
為了刻畫強保持冪零的線性運算元和強保持可逆的線性運算元,我們首先研究二元布爾代數上的情況By the means of the extension of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over any boolean algebra
再利用線性擴張這一工具,我們刻畫了在一般布爾代數上強保持冪零的線性運算元和強保持可逆的線性運算元Professor chern was awarded the shaw prize in mathematical sciences 2004 for his initiation of the field of global differential geometry and his continued leadership of the field, resulting in beautiful developments that are at the centre of contemporary mathematics, with deep connections to topology, algebra and analysis, in short, to all major branches of mathematics of the last sixty years
二零零四年邵逸夫數學科學獎授予陳省身教授,以表彰他開辟整體微分幾何學的成就。整體微分幾何學的精妙發展占著當代數學的核心,與拓樸學、代數學和分析學,簡而言之,與過去六十年數學的所有主要范疇都有密切關連。This number is cleared to zero each time a generation zero garbage collection occurs
每次發生零代垃圾回收時將該位元組數清零。This brief note presents an easily conceivable inequality for analytic functions. as an application, a function - theoretic proposition involving the fundamental theorem of algebra ( fta ) is deduced immediately
摘要本文關于解析函數給出了一個可作幾何理解的不等式,由此易得出一個有關解析函數零點的命題,而代數學基本定理成為它的直接推論。The algebraic sum of the through variables associated with the edges incident to any vertex is zero.
關聯于任一頂點的各邊所附帶的流通變量的代數和為零。In this paper, it s applications were explained from seven different fields, the common zeros of two polynomials, the multiplicities of roots and the discrimination of a polynomial, searching the equations suitable for a algebraic number, implicating a rational curve over the plane, computing the zeros of a nonlinear algebraic equation and gathering the discrimination surface of the sas in automated theorem proving on inequalities
本文從7個方面闡述了結式的應用,包括判斷2個多項式的公共零點,判定多項式是否有重根,計算多項式的判別式,尋找代數數滿足的方程,平面有理曲線的隱式化,非線性代數方程組求解和不等式機器證明中半代數系統邊界曲面的獲得等。Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper. the main research contents and achievements are as follow : firstly, we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions, then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties. the existence of a basis of splines with minimal compact supports is demonstrated, and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix
本文主要研究定義在多項式和雙曲函數構成的空間上的樣條曲線,其內容和完成結果如下:一、生成由多項式和雙曲函數構成的空間上的一組典範式ect ( extendedcompletechebychevian )組及其對偶, ,證明非均勻代數雙曲b樣條空間的維數定理和零點定理,直接通過解塊矩陣線性方程組得到具有最小緊支撐的非均勻代數雙曲b樣條函數,進而構造非均勻代數雙曲b樣條曲線,還具體給出低階的表示Therefore, it can be used as an efficient new model for geometric design in the fields of cad / cam. at last, the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained. the applications of the low order are given in details
三、給出代數雙曲周期樣條及自然樣條空間定義,證明其維數定理和零點定理,構造具有最小緊支撐的非均勻代數雙曲周期及自然樣條函數,進而定義非均勻代數雙曲周期及自然樣條曲線,最後具體給出低階的表示和應用We first present the decomposition of finite rank operators and trace class operators in a weakly closed nest algebra algn - module. secondly, the same question for finite rank operators in the preanm ' hilator of an atomic boolean lattice algebra is considered. ( 6 ) let n be a nest on a hilbert space h. and u be any weakly closed algn - module
在第三章中,我們首先討論了弱閉套代數模中的有限秩運算元和跡類運算元的「保跡范數可加性分解」問題,然後研究了原子boolean格代數的預零化子中的有限秩運算元,得到( 6 )設n是hilbert空間h中的一個套, u是任一弱閉algn -模。The nil radical for symplectic ternary algebras
辛三代數的冪零根In chapter 1, we introduce some terminology and notation, and summarize the back - ground and the main contents of this paper. in chapter 2. we discuss the order homomorphisms and preannihilators of reflexive modules over reflexive operator algebras
設a是hilbert空間h上的自反運算元代數, u是任一自反a -模,用u _表示u在跡類運算元空間t ( h )中的預零化子。A classification of certain separable c * - algebras of real rank zero with trivial ki - group is given in second part. we construct all the extensions of cuntz algebras by the compact operators, and compute their k - theory
第二部分討論了某些具有實秩零及平凡的k _ 1群的可分c ~ * -代數的分類,我們先構造出cuntz代數通過緊運算元的所有的擴張,並計算它們的k -群。An operation performed in boolean algebra on two binary digits simultaneously in a way that the result is one if either one or both digits are a one, or zero if both digits are zero. the logic operator is the or operator
布爾代數中的一種運算,它同時對兩個二進制數字進行如下操作:如果一個數或二個數為1 ,則結果為1 ;如果二個數均為零,則結果為零。它的邏輯算符是or運算符。In this paper, we shall characterize the linear operators that strongly preserve nilpotent matrices and that strongly preserve invertible matrices over boolean algebras and antinegative semirings without zero divisors
本文將刻畫在布爾代數和非負無零因子半環上強保持冪零矩陣和可逆矩陣的線性運算元分享友人