泛函關系 的英文怎麼說
中文拼音 [fànhánguānxì]
泛函關系
英文
function relationship-
We have calculated one - and two - photon absorption cross sections of the lowest excited states of a series of molecules combined with benzene, stilben, thiophene as center attached with amine, diphenylamine, diethylamine as electron - donor and nitryl as electron - acceptor ; the effects of molecular length, n center and electron - donor on two - photon absorption cross sections have been studied and all calculations have been carried out using the density functional theory at an ab initio level. it is found that the molecular length and the one - photon absorption intensity are quite strongly c orrelated factors, and that a corresponding correlation for the two - photon absorption is decreasing. it is also found that a most crucial role for the two - photon absorption is played by the n center
我們分別以苯、二苯乙烯、噻吩為中心，氨基、二苯氨基和二乙氨基為電子給體，硝基為電子受體組合形成的分子為研究對象，在從頭計算的水平上用密度泛函理論計算了這些分子在低激發態下的單、雙光子吸收強度，重點研究了分子的長度、中心和給體的供電子能力對分子單、雙光子吸收的影響。研究結果表明，分子長度與單光子吸收強度之間有密切關系，而在雙光子吸收中這種關系較弱；中心在雙光子吸收中具有重要的作用；在中心和受體一定的情況下，增加給體的供電子能力，可提高雙光子吸收強度。In the third chapter, connected with the cube lattice model, we present the steps of the renormalization group and indicate the corresponding relationship between the fixed points of the renormalization group and the critical points
在第三章中結合立方晶格模型介紹了基於泛函積分的重整化群方法的幾個步驟以及重整化群中的固定點和臨界點的對應關系。Based on the theories of hybrid / mixed finite element method, the generalized energy functional including stress, mechanical displacement, electric displacement, electric field and electric potential is used, with the electric - potential relations and the constitutive equations of piezoelectric materials constrained, hybrid energy functional including mechanical displacement, electric potential and stress is gained. moreover, splitting in - plane components and transverse components, the mixed energy functional in which mechanical displacement, transverse stresses and electric potential as basic variables is derived. with the use of surface stress parameters of sub - elements, the continuity of transverse stress at interfaces between layers is obtained
在回顧雜交混合有限元理論的基礎上，從包括位移、應力、應變、電勢、電位移、電場強度六個未知量的廣義壓電材料能量泛函出發，通過約束電場強度?電勢關系、應力與應變及電場強度的關系，得到僅包括位移、電勢、應力三個未知量的雜交變分泛函，利用一般層合板的雜交混合變分原理，分離面內分量和橫向分量，導出以位移、橫向應力、電勢為未知量的壓電層合板的修正變分泛函，作為壓電層合板的雜交元列式的理論基礎。Equation of state ( eos ) is, in a broad sense, the functional expression which gives the relationship of the vary parameters for the substance system, which shows the properties of the substance in the condition of thermodynamics
從廣義上講，物態方程是泛指描述處于熱力學平衡態的物質系統的各種狀態參量之間關系的函數表達式，用來表達在一定熱力學條件下物質的性狀。The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field
重新定義了有限域上邏輯函數的chrestenson線性譜，考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系，並利用一組對偶基給出了有限域上邏輯函數的反演公式；給出了有限域上隨機變量聯合分佈的分解式，並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究；給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系，探討了它們之間密碼性質的聯系，如平衡性，相關免疫性，擴散性，線性結構以及非線性度等；討論了有限域上邏輯函數各類線性結構之間的關系，並給出了任意點都是線性結構的邏輯函數的全部構造，由此引出了有限域上的「泛仿射函數」的概念；考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系；給出了有限域邏輯函數非線性度的定義，利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系，考察了有限域上邏輯函數的非線性度與線性結構的關系；利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系，揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系，以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。The linear su ( 2 ) nonautonomous quantum system means its hamiltonian is the linear function of su ( 2 ) generators whose coefficients have relation with time
Su （ 2 ）線性非自治量子系統，就是指其哈密頓量為su （ 2 ）生成子的線性泛函而其迭加系數與時間有關。Secondly, the nonlinear optical properties with pna molecule in different solvents are studied through using the polarized continuum model and few states approach on the base of time dependent density functional theory, and the first order nonlinear hyperpolarizabilities in second harmonic generation process are computed
然後在含時密度泛函理論基礎上採用極化連續模型和少態方法研究了不同溶劑中pna分子的非線性光學性質，計算了二次諧波振蕩過程的一階非線性超極化率，並討論了pna分子的非線性光學性質與溶劑極性之間的關系。According to the dirac constrain theory and the extended condition, we deduce the gauge generators, show the brst transformation of ( 1 + 1 ) dimension o ( 3 ) non - linear model under the new general condition. we first gain the new general commutation relations of ghost field, deduce the brst charge from gauge generator, complete the general brst quantization of the model, get green function, connecting green function and generating functional, gain three kinds of ward identities. at last, we complete the brst quantization of o ( 3 ) non - linear model with topological term in ( 1 + 1 ) dimensions space - time
最後依據dirac約束規范理論和推廣的條件，導出了規范生成元，推導出了1 + 1維o （ 3 ）非線性模型的新的一般條件下的brst變換，給出了其brst變換與dirac規范變換的等價性，首次得到了鬼場的一般對易關系，且其一般參數為零時就回到通常的鬼場的對易關系，第一次由規范生成元導出了brst荷，進而完成了此模型的一般的brst量子化，並在此基礎上進一步導出了此系統的green函數、連通green函數生成泛函和正規頂角生成泛函，獲得了三種不同的ward恆等式。Firstly, a two - dimensional decoupling theory is developed when colored noise is included in a nonlinear dynamical system. by a functional analysis, the colored noise is transformed to an effective noise that includes the noise correlation time, the mean dynamical variable, and the original noise strength
首先，我們發展了分析非線性系統中色噪聲的二維退耦理論，通過泛函分析，將二維非線性系統中的色噪聲變換成含有噪聲關聯時間、噪聲強度和系統變量平均值等參量的有效噪聲。On the other hand, as to the time domain methods, based on lyapunov - krasovskii function method, riccati equation method, linear matrix inequality technique, along with the skills of equality and inequality transformations, the robust stabilization and robust h control problems are studied via state feedback for some kinds of uncertain time - delay systems, and delay - independent as well as delay - dependent results are obtained
時域方法方面基於lyapunov - krasovskii泛函方法、 riccati方程方法、線性矩陣不等式（ lmi ）技術，以及代數等式、不等式變換技巧等主要處理手段，通過狀態反饋分別研究了不確定時滯系統的魯棒鎮定及魯棒h控制問題，得到了時滯無關和時滯依賴兩種不同結果。Resolving - transformers is a kind of component that converts the rotor corners to electrical signals, one has sine functional relationship with the rotor - comers, while the other has cosine ones, and this component has been widely used in many fields such as automatic controls, aviation and firepower fields to implement the information transmission of shaft - angle between systems
正餘弦旋轉變壓器是一種將轉子轉角變換成與之成正餘弦函數關系的電信號的元件，被廣泛應用於自動控制、航空、火力控制等領域，以實現系統之間軸角信息的傳輸功能。The study on the stability switches of functional differential difference equations is an important research branch of the stability theories, which of both the theory and its applications has broad prospects. the first part of this paper, chapter 2 and 3, deals with the stability switches for two classes of retarded differential difference systems, respectively. by analyzing the characteristic roots of characteristic equations, some algebraic criteria of stability switches are established, which are useful and easy to verify
穩定性開關是泛函微分方程穩定性理論中的一個重要分支，無論是理論本身還是它的應用都有廣泛的前景，本文的第一部分（第2章、第3章）分別討論兩類二階滯后型微分差分系統的穩定性開關，通過分析特徵方程的特徵根，我們給出了存在穩定性開關現象的實用而又易於驗證的代數判據，並利用計算機模擬驗算了一個具體例子。Steel frame with welding joint easily occur brittle collapse because of having a low ductility at joints then ， a semi - rigid connected steel frame has large the energy absorption capacity which can resist dynamic loads and the using steel qualities of bracing system and joints are small so adopting a semi - rigid jointed steel frame is economical and stable but for semi - rigid connections are complex and variable ， in conventional analysis and design of steel structures ， it is usually assumed that the connections between columns and beams are either rigid or pinned the analysis of steel frames adopting the assumption can simplify the procedure of analysis and design ， but cannot precisely reflect structural practical circumstance and the errors of calculating results are large ， even ， get incorrect conclusions semi - rigid connection was referred to in chinese code for design of steel structures ( 2001 ， 10 ) ， however ， it isn ’ t specified how to apply semi - rigid joints in design in fact it cannot be carry out the purpose of the paper give a calculating method that accords practical engineering and easily put into effect worthwhile it is going to promote the development of semi - rigid jointed steel frame in design and heighten structural stability in the paper ， at first some commonly employed methods for the modeling of connection behavior are introduced richard abbott function modeling of connection is adopted for extended end plate bolted connection by the 34 test data comparing to regression analysis indicate richard - abbott function modeling of connection represents an excellent fit to test data then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring ， base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects ofj ointed flexibility geometric non - linearity and shear forces in the connection deformations have been considered in and fixed - end forces are modified finally, a program for calculating semi - rigid with incremental - iterative method has been
本文的目的就是為半剛性連接鋼框架的設計提供一種既符合工程實際又簡便易行的計算方法，供規范使用過程的補充、延伸或參考；同時，也將促進半剛性連接鋼框架設計技術的發展，為提高結構安全性能、節省工程成本發揮應有的作用。本文首先介紹了常見的幾種應用較為廣泛的樑柱連接彎矩轉角關系模型，在分析比較的基礎上，選用richard ? abbott函數模型作為外伸端板連接彎矩轉角關系模型，通過對34個外伸端板連接的實驗數據與回歸分析得到的參數比較可知，經回歸分析得到的此模型參數與實驗數據符合較好。然後用彈簧表徵連接點的轉動剛度，根據梁的轉角位移方程推導出半剛性連接的剛度矩陣，在單元剛度矩陣中考慮了節點柔性、幾何非線性和剪切變形的影響，並對固端力進行了修正，最後用增量迭代法編制有限元程序進行計算和分析。Different from the above two chapters, in chapter three, we employ the method of lyapunov function coupled with razumikhin technique to investigete the practical stability in terms of two measures of system ( 1 ), obtain some practical stability theorems, such as ( h0, h ) practical stablity, ( h0, h ) uniformly practical stability, ( h0, h ) uniformly practically asymptotical stability and so on
不同於前兩章，在第三章中，我們運用lyapunov函數方法結合razumikhin技巧研究了脈沖泛函微分系統）的關于兩個測度的實際穩定性，得到了一些實際穩定性定理，如巾。入）實際穩定性、 （ h 。 ， h ）一致實際穩定性、幣。The zero dynamics were divided into several types, and the relations between the zero dynamics of general nonlinear system and that of its adjoint system norm were discussed by using functional analysis
摘要將零動態分為幾種類型，運用泛函分析等工具，研究了一般非線性系統與其作為仿射非線性的系統的伴隨系統的零動態之間的關系。In the fifth chapter, we use the the methods of function theory establised a class of analytic reproducing kernel space, we call it a generalized arveson space. we study the relationship of these space, and obtain some intersting results, we also defined toeplitz c * - algebra on the generalized areveson space, obtain some results of toeplitz c * - algebra on the generalized areveson space
在第五章中，我們利用函數論的方法建立了更廣泛的一類解析的再生核空間，稱之為廣義arveson空間，討論了它的一些關系，並得到了一些有趣的結果。還定義了廣義arveson空間上的toeplitzc * -代數，建立了廣義arveson空間上的toeplitzc * -代數的一些性質。By laplace transforming the governing equation of the problem of unidirectional fiber reinforced composite materials, the formulae for predicting the viscoelastic relaxation moduli in laplace transformed domain are obtained. according to correspondence principle of viscoellastic mechanics and elastic, mechanics, the results of effective moduli for several s are obtained by using the finite element method of the homogenization. then effective relaxation moduli should be curve - fitted, according to the viscoelastic relaxation modulus formulae of many viscoelastic materials
首先對單向纖維增強復合材料粘彈性問題的控制方程進行laplace變換，在像空間s中利用均勻化理論建立宏觀鬆弛模量的laplace變換泛函形式，根據粘彈性-彈性對應原理，用均勻化問題的有限元方法預報單向纖維增強復合材料在相空間中多個離散點的本構關系，然後根據典型粘彈性材料的鬆弛模量具有的函數形式進行曲線擬合，再通過對擬合出的函數進行laplace逆變換，從而再回到時間t域，就得到了單向纖維增強復合材料的鬆弛模量。Fde and dde have been extensively developed since 1959, and each branch has been set up a complete theory system. now, more and more scholars study fde and explore further developments. also, fde with infinite delay is one of the fields of great interest to people. in fact, fde with infinite delay has undergone a rapid development since 1870s. hale and kato gave a normal and set up the b phase space theory in 1978. under the basic theory, people studied the stability, boundedness and periodic solution of rfde. for example : in [ 4 ], huang qichang introduced the concept of uniformly forgetful functional, discussed the boundedness and stability of solution ; [ 5 ] - [ 8 ] discussed the existence of periodic solutions, generalized the results of rfde with finite delay. however, for nfde with infinite delay, few people discuss it, and many problems have not been solved. so there are some very interesting developments. lt is worth while generalizing the results of fde with fini te delay or rfde with infinite delay to nfde with infinite delay. because of the difficulty of infinite delay, we may discuss neutral volterra integro - differential equations, and obtain simple results
自1959年以來，無論是一般的泛函微分方程還是具體的微分差分方程，其發展是非常迅速的，在每一分支中都形成了一套完整的理論體系，如今越來越多的學者涉足這一領域探求更新的發展，無窮時滯泛函微分方程就是他們研究的主要對象之一。準確地說，無窮時滯泛函微分方程興起於19世紀七十年代， 1978年hale與kato提出b空間的公理體系。在此體系下建立了方程的基本理論，並研究了解的穩定性、有界性、周期解等問題，如[ 4 ]利用一致健忘的liapunov泛函討論了解的有界性和穩定性， [ 5 ] - [ 8 ]討論了周期解的存在性，推廣了有限時滯的相關結果。4. dicussing soil pressure ( supposed as p ) and level displacement ( supposed as s ) in condition that consideration time performance, the relation is p = ae, when the defomation of wall has evidently effect on the soil pressure. 5. the deformation of wall ( supposed as sw ) leads to soil layer sedimentation ( supposed as pw ), the research find pw = 1. 22sw 6. the artifical neural networks has vast and applied foreground in the information construcion of deep foundation excluding the accidental factor
4 、探討了考慮時間效應的土壓力和位移關系曲線，認為在當墻體的變形對土壓力分佈產生明顯影響時，二者間的關系可用一指數函數來表達： p = ae ~ （ （ / s ） ） 5 、墻體側向變形，導致墻後土體產生沉降，在本次研究中，排除掉基坑降水施工因素的影響，由墻體變形導致的墻後土體沉降，二者具有p _ w = 1 . 22s _ w關系； 6 、將基於時間窗口滾動多步神經網路預測方法和應用於深基坑工程墻體變形的預測工作，具有較高的預測精度，該方法在巖土工程變形預測方法中具有廣泛的應用前景。Secondly, using the relation between the weighted modified k - functional, the weighted modulus of smoothness, the weighted main - part modulus of smoothness. we get the pointwise direct and inverse approximation theorem with jacobi weight for s ' zdsz - kantorovich operator. thus some results on w ( x ) = 0 ( w ( x ) denotes the weight function ), ditzian - totik modulus and classic modulus are extend
其次，引入一種改變的帶權k -泛函，利用帶權光滑模和帶權主部光滑的關系及帶權光滑模與改變帶權k -泛函的等價性，關于sz sz - kantorovich運算元，討論了一階矩不為零的運算元的點態帶jacobi權逼近正定理及等價定理，推廣了已有的權為零及ditzian - totik光滑模和古典光滑模的結果。分享友人