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associative     
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  联想
     An extended multi-valued exponential bi-directional associative memory (EMV-eBAM) model is presented in this paper based on Wang抯 MV-eBAM model, which is a special case of EMV-eBAM (extended MV-eBAM).
     推广了Wang的多值指数双向联想记忆(multi-valued exponential bi-directional associative memory,简称MV-eBAM)模型,使其成为所提出的推广的多值指数双向联想记忆 (extended MV-eBAM,简称EMV-eBAM) 模型的一个特例.
短句来源
     An algorithm ispresented for finding a 3-indepondent set of Qn,and 2n-[log2n]-1≤I3(n)≤[2n/(n+1)] is shown. These results are applied to the design of neural associative memories.
     提出了构造Qn的3-独立集的一个算法,证明了2n-[log2n]-1≤I3(n)≤[2n/(n+1)].这些结果被应用于神经联想存储器的设计.
短句来源
     (2) People's associative psychology is the mental bases.
     (2)人们的联想心理,这是同义连用产生的心理基础;
短句来源
     The Synchronization and Associative Memory of Hodgkin-Huxley Neural Network with Randomly Distributed Time Delays
     随机延时Hodgkin-Huxley神经网络的同步与联想记忆
短句来源
     Asymptotic Behavior of Discrete-Time Hopfield Associative Memory Neural Networks
     离散Hopfield联想记忆神经网络的渐近行为
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  结合
     The automorphism group of the derivation algebra of the associative algebra C q X,Y,X -1 ,Y -1 (q n≠1,n∈N,YX=qXY) is given.
     给出了复数域C上结合代数Cq〔X,Y,X-1,Y-1〕(qn≠1,n∈N,YX=qXY)的导子代数的自同构群.
短句来源
     (2)For any x∈X, {(x*h)*h|h∈H} is denoted by H x and {H x|x∈X} is denoted by X/H 2 , * operation is X/H 2 is defined by H x*H y=H x*y . Then (X/H 2,*,H 0) is a generalized associative BCI_algebra.
     (2 ) x∈X ,令Hx={ (x h) h|h∈H} ,X/H2 ={Hx|x∈X} ,定义Hx Hy=Hx y,则 (X/H2 ; ,H0 )是广义结合BCI_代数 .
短句来源
     They are: (1) Let φ be a representation on a finite dimensional associative algebra A, its representative matrix is T_(a) (=aφ∈ F_n, n>1) for any a∈A, and there exists an element a∈Z(A), a≠0, so that T_(a)≠0 and det T_(a) =0, then φ is reducible.
     它们是:若φ是有限维结合代数上的表示,其表示矩阵为aφ=T(a)∈F_n,n>1,并且存在a∈Z(A),a≠0,使得T(a)≠0 而det T(a)=0,则φ是可约的;
短句来源
     It is an associative algebra over R, with parameters Ω = {ω_a ∈ R | a ≥ 0} and u = (u_1,··· , u_m) ∈ R~m.
     这是一类依赖于参数Ω={ω_α∈R|α≥0}以及参数u=(u_1,…,u_m)∈R~m的结合R-代数。
短句来源
     THEOREM 3 A_0 is the commutative associative algebra over R as above, D_0 isit's derivation satisfying (2.2).
     定理3 实数域R上的交换结合代数A_0如上述,D_0为其满足(2.2)式的导子。
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  关联
     Study on Growth and Holographic Associative Memory on Sc:In:Fe:LiNbO_3 Crystals
     Sc:In:Fe:LiNbO_3晶体的生长及全息关联存储的研究
短句来源
     GROWTH OF In :Fe : LiNbO_3 CRYSTALS AND ITS APPLICATION IN HOLOGRAPHIC ASSOCIATIVE STORAGE
     In∶Fe∶LiNbO_3晶体的生长及其在全息关联存储中的应用(英文)
短句来源
     Using an In∶Fe∶LN crystal with an n(Li)/n(Nb) ratio of 1.38 as the recorder medium and an In∶Fe∶LN crystal with an n(Li)/n(Nb) ratio of 1.05 as the phase conjugate mirror, holographic associative storage experiments were conducted.
     采用n(Li)/n(Nb)=1.38的In∶Fe∶LN晶体作记录介质,n(Li)/n(Nb)=1.05的In∶Fe∶LN晶体作位相共轭镜进行全息关联存储实验。
短句来源
     The optical associative memory was obtained in Ce∶Pr∶LiNbO_3 crystals which were used as a storing element.
     以Ce∶Pr∶LiNbO_3晶体作存储元件,实现全息关联存储,图象清晰完整。
短句来源
     Using Cu∶Co∶SBN crystal as a storage element and using Mg∶Fe∶LiNbO 3 crystal as a phase conjugate reflector to gain the feedback system, the associative storage experiment is realized.
     用Cu∶Co∶SBN晶体作为存储元件 ,Mg∶Fe∶LiNbO3晶体为位相共轭反射镜 ,以增益反馈系统 ,实现关联存储实验。
短句来源
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  相联
     A new embedded X-way set associative cache structure
     一种新型的嵌入式X路组相联cache结构
短句来源
     An Improved Associative Memory Learning Control System for Industrial Processes with Unknown Dynamics
     适用于动态特性未知工业过程的改进型相联存储自学习控制系统
短句来源
     JX microprocessor's TLB is organized as a 32-entry fully associative. The TLB supports 4Kbyte pages as well as 4Mbyte pages.
     JX微处理器指令CACHE的TLB采用了32项全相联结构,支持4K和4M两种页面模式。
短句来源
     This paper proposes an improved version of the associative memory learning control system (AMLCS) for industrial processes with almost completely unknown but slowly time-varying dynamics.
     对相联存储自学习控制系统(AMLCS)提出了一种改进方案,可用于动态特性几乎完全未知且慢时变的工业过程。
短句来源
     A new embedded cache structure called X-way set associative cache was proposed. Through an instance of FFT,its principle and structure were introduced and its validity was discussed.
     提出一种新型的嵌入式X路组相联cache,以应用程序FFT为例,讨论了X路组相联cache的原理、结构和有效性.
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  associative
Invariant Theory for Non-Associative Real Two-Dimensional Algebras and Its Applications
      
The set ${\mathcal A}$ of all non-associative algebra structures on a fixed 2-dimensional real vector space $A$ is naturally a ${\mbox{\rm GL}}(2,{\mbox{\bf R}})$-module.
      
We show that the absolute invariants (i.e.,the ${\mbox{\rm GL}}(2, {\mbox{\bf R}})$-invariants in the field of fractions of ${\mathcal P}$) distinguish the isomorphism classes of 2-dimensional non-associative real division algebras.
      
Infinitesimal multiplication of a graded associative algebra is defined and the integrability of infinitesimal multiplication is discussed through the Massey F-product.
      
Coordinates and automorphisms of polynomial and free associative algebras of rank three
      
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In this paper We have discussed the relation between the solvabilityfor all beR (a ring)and the uniqueness of the equation ax = b determined byan element aeR. The above—mentioned R is a general (associative) ring,and in particular, a ring With descending (or ascending) chain conditionfor right—ideals. Thus, We have obtained the relation betWeen the surjectivity and the injectivity of the left multiplication a1 determined by anelement aeR.

在此文中,我们将就一般的(结合)环R,并特别就带有右理想降(升)链条件的环R,讨论元素a∈R所法定的方程ax=b对所有b∈R的可解性与其解的唯一性之间的关系,从而获得环R的元素a所决定的左乘变换a1的遍射性与其内射性之间的关系。

With the rapid development of the semiconductor integrated circuit technology, the cellular computer becomes an important trend for giant computers. There is no doubt that multiprocessor systems, array processor systems and associative array processor systems may be cellulated. But what will be with the more preferable giant vector computers for which the language may be expanded on the basis of the standard languages, the operating rules are similar to the conventional rules, and the efficiency is higher?Can...

With the rapid development of the semiconductor integrated circuit technology, the cellular computer becomes an important trend for giant computers. There is no doubt that multiprocessor systems, array processor systems and associative array processor systems may be cellulated. But what will be with the more preferable giant vector computers for which the language may be expanded on the basis of the standard languages, the operating rules are similar to the conventional rules, and the efficiency is higher?Can they be cellulated? this is what the present article will discuss in detail and the answer is positive. In this paper, some vector expansion of the standard language and an architecture of the vector computer of vertical and horizontal processing are described.Furthermore, the architecture of the normal cellular vector computer, and the architecture of cellular vector computer of vertical and horizontal processing are discussed.Finally, the advantages and the limitations due to which the number of cell-elements of vector computers can't be very large are described.

随着半导体集成工艺的飞跃发展,细胞结构巨型机已成为巨型机的重要方向;其中,多处理机、阵列机、关联阵列机的细胞结构化已没有疑问。但是,对于其语言可在标准语言的基础上加以扩充,其使用规则和常规习惯比较接近,其效率比较高和比较受人们欢迎的向量型巨型机,能否使之细胞结构化?这正是本文所要着重讨论的问题。回答是肯定的。文中介绍了标准语言向量扩充和纵横加工向量机的总体结构,并在此基础上讨论了细胞结构向量机及细胞结构纵横加工向量机总体结构,简要叙述了它们的优点及细胞单元数目不能过多的局限性。

This paper continues to study the theory of the first paper by the author with symbols and notions appearing in this paper the same as in the first one if not specially stated. In order to state our main results, we first introduce some notions.An ideal a is called hypernilpotent, if there exists a finite number of positive intergers n_1, n_2,…, n_r such that a~(n1,n2,…,nr)=0.It is proved that a is hypernilpotent if and only if a is solvable, i.e. there exists an integer m ≥0 such that a~((m)) = 0.From the concept...

This paper continues to study the theory of the first paper by the author with symbols and notions appearing in this paper the same as in the first one if not specially stated. In order to state our main results, we first introduce some notions.An ideal a is called hypernilpotent, if there exists a finite number of positive intergers n_1, n_2,…, n_r such that a~(n1,n2,…,nr)=0.It is proved that a is hypernilpotent if and only if a is solvable, i.e. there exists an integer m ≥0 such that a~((m)) = 0.From the concept of hypernilpotent we can now define a radieal as follows: First, we can see easily that the union of all the hypernilpotent ideals of a non-associative and non-distributive ring R (briefly NAD-ring) may not be hypernilpotent. Furthermore, R may have hypernilpotent ideals. Let be the ideals of R such that is the union of all the hypernilpotent ideals of R In general, for every ordinal a which is not a limit ordinal, we define to be the ideal of R such that is the union of all the hypernilpotent ideals of R if a is a limit ordinal, we define In this way we obtain an ascending chain of ideals We may consider the smallest ordinal τ such that This ideal we shall call the radical of R.Definition 1: An NAD-ring R is called semi-simple,if the radicalThen we can state the following structure theorem.Theorem i: Let R be an NAD-ring with ascending chain condition (briefly a.e.e.) of ideals. Suppose that every prime ideal of R is maximal and R~2= R. ThenR is semi-simple if and only if R = R_1⊕R_2⊕... ⊕R_r,where R_i are non-nilpotent ideals which are simple rings.Theorem 2: Let R be a semi-simple NAD-ring with a. c.c. on ideals of R, then the following conditions are equivalent (i) R can be expressed uniquely as R= R_1⊕R_2⊕... ⊕R_r apart from the order of the R_i, where R_i are n on-nilpotent ideals which are simple rings.(ii) R~2= R, and every prime ideal is maximal.(iii) R~2= R, and every principle ideal (a) of R can be expressed uniquely as R_(i1)⊕R_(i2)⊕…⊕R_(is),where R_(ij) are non-nilpotent ideals, which are simple rings.If one of these prepositions holds, then so does the following.(i) every ideal a of R is principal and a~2 = a.(ii) every prime ideal p can be expressed uniquely as P_i = R_1⊕R_2⊕…⊕R_(i-1) ⊕R_(i+1)⊕…⊕R_r,i = i, 2…, r.(iii) the number of ideals of R is precisely(1r)+ (2r)+…+(rr)while the number of proper prime ideals of R is precisely r.Definition 2: The W-ascending chain conidtion (briefly w- a.c.c.) on ideals of R is said to hold in R, if for a given ascending chain on ideals a_1 a_2 …a_n … there exists a finite number of positive integers n_1,…,n-r and n such that W~(n1,…,nr)∩a_n= W~(n1,…,nr,)∩a_(n+1)=… where W = ∪ a_i.It is clear that every ring satisfying a. c.c. on ideals also satisftes w- a. c.c. on ideals.Theorem 3: The conclusions of theorems 1 and 2 are still valid, if NAD-ring satisfies w-a.c.c, on ideals and a.c.c. (i.e. descending chain condition) on ideals of R instead of a.c.c, on ideals of R.Definition 3: Let m be an ideal of R. An ideal a is called m-hypernilpotent,if there exists a finite number of positive integers n_,…,n_r such that a~(n1,…,nr)m. Otherwise a is called m-nonhypernilpotent.Theorem 4 : Let R be an NAD-ring with w- a. c. c. on ideals then we have the following results: (i) If m is an ideal, then there exists a semi-prime ideal p containing m such that every principal ideal (a) contained in p is m-hypernilpotent. Hence every semiprime ideal p containing m must cantain p.In this case we will say that p is m-semiprime.(ii) If a is an m-nonhypernilpotent ideal, then there exexists at least one anonhypernilpotent prime ideal p_a such that p_a m and that p_a≥p≥m implies p_a=p, where p is prime.In this case we will say that p_a is m-prime.(iii) every m-semiprime ideal p can be expressed as an intersection of m-prime ideals. If R satisfies a.c.c, on ideals, then p=p_1 ∩…∩ p_r where p_i are prime ideals, and then there exist two finite sets of positive integers n_1,…,m_t and k_(1,…,) k_s respectively such that p~(m1,…,m_t) m p~(k,…,k_s

本文继上文(Ⅰ)的理论,共分二节,第一节继续上文的理想理论,引进两非环的半素理想及半准素理想概念,并对它们作基本性质的研究.第二节引进根及半单纯概念建立分解成单纯子环直和的有关诸定理.

 
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