symmetry relation 中文意思是什麼
symmetry relation
解釋
對稱關系-
We study the relation of carleson measure and toeplitz operator on bergman space of bounded symmetry domians, and give a charactering of a composition operator, also give a charactering of bounded and compact weighted composition operator
研究了有界對稱域上bergman空間的carleson測度與toeplitz運算元的關系。研究了有界對稱域上bergman空間上復合運算元的一個特性。給出了加權復合運算元的有界性及緊性的刻畫。 -
The spectral analysis of non - orthogonal functions cannot be obtained by orthogonal integration method. only the spectral analysis of some particular non - orthogonal functions can be realized by integral transformation. thus, the concept of reflection matrix is proposed and the mirror symmetry of spectral analysis for non - orthogonal function is revealed. any element functions whose reflection matrix can be obtained possesses its inverse element function. the spectral vector corresponding to an element function possesses its inverse spectral vector corresponding to the inverse element function. by reflection matrix the mapping relation of element function pair and spectral vector pair can be established. spectral analysis of non - orthogonal functions can be obtained with this symmetry by using the integration method as in the case of orthogonal functions, instead of calculating the inverse matrix as usual. so a convenient and practical method for spectral analysis of non - orthogonal functions is offered
非正交函數不能利用正交積分來實現譜分解.僅有某些特殊的非正交函數可以通過積分變換實現譜分解.本文提出了反射陣的概念，揭示了非正交函數譜分析的鏡像對稱性.任何能夠建立起反射陣的元函數存在著它的逆元函數，並且任何基於該元函數的譜向量同時也存在著基於逆元函數的逆譜向量.元函數對與譜向量對通過反射陣建立映射關系.利用這種對稱性，非正交函數可以象正交函數一樣使用積分方法獲得譜分解結果，而不必使用求解逆陣的方法，從而為非正交函數的譜分解提供了便捷、實用的方法 -
For one - dimensional mesoscopic metal rings system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current relation in mesoscopic metal rings is given by solving the eigenvalue equation of the current, the property of quantum current have been investigated and analysed
摘要針對處于外磁場中的一維介觀環系統，假設在電荷空間中具有變換的對稱性，通過求解電流算符的本徵值方程，給出系統中的量子電流關系，分析和研究一維介觀金屬環中量子電流的性質。 -
What we do at this aspect are : firstly, we describe the permutation symmetry of the structure of some special networks and the corresponding attractor sets with some geometric graphs in euclidean space, which are called attractors graph and geometrized structure graph of the networks respectively ; the geometrizing conditions are also given ; we study the dynamical behavior of the networks using the geometrized structure graph and attractors graph of the network ; moreover, we propose an approach to construct a big - size network with some small - size network with symmetry by the method of direct - sum, direct - produce and semidirect - produce. we also study the dynamical properties " relation between the big - size network and the small - size networks. all those results will provide some theoretical basis for designing a special large - scale network
本文在這方面所做的工作如下：首次將一些特殊網路的結構和吸引子集的置換對稱性用三維歐氏空間中的一些幾何圖來表示，分別稱之為幾何結構圖和吸引子圖；給出了網路對稱性的幾何化條州即相應的對稱性群為可遷群） ：並惜助網路的幾何結構圖和吸弓吁圖分析網路的動力學性質；此外，我們提出了用簡單的具有一定對稱性的小網路按照群的直和、半直積和直積的方式組合成較大的網路的方法，探討了這些小網路和所組成的大網路的一些動力學性質的關系，如穩定態的個數、各穩定態的回憶性質等，為較大網路的設計提供一些理論依據。 -
We also prove the following properties : the stable states of the network in the same sh orbit have a same dynamical behavior, such as the size of attraction basin and the energy ; the relation of the symmetry of two isometric networks h and h ' = g - h is s ' h = g - sh - g ~ } for any isometry g, where sh and s ' h are the symmetry of h and h " respectively ; the isometry will not change the dynamical properties of the stable states set of the corresponding networks ; etc.
） g的對稱性s _ h和s _ n的關系為s _ h = g ? s _ h ? g ~ （ - 1 ） ；等距變換不會改變網路穩定態集的動力學性質等一系列的結論。所有這些研究結果表明了hebb學習法則是通過調整網路的連接矩陣，使得其的結構的對稱性包含存儲樣本集的對稱性這一存儲機理。 -
We define three kinds of generalized pascal matrices ( left, right and symmetry ), and discuss the their relations and the cholesky factorial of generalized symmetry pascal matrix. finally, a close relation is obtained between the diagonal of generalized right pascal matrix and a class of recurrence sequences
定義三類（左、右、對稱）廣義pascal矩陣，討論了它們的相互聯系以及廣義對稱pascal矩陣的cholesky分解，並且得到廣義右pascal矩陣的對角化與一類遞歸序列具有緊密的聯系。 -
The principle, structure and characteristics of the adc system has been discussed and studied, the main conclusions and contributions include : the general perfect reconstruction ( pr ) condition of linear phase prqmf banks is deduced mathematically, which consists of combination relation between analysis filter ' s odd length or even length and its symmetry or antisymmetry, relation of analysis filters " lengths and relation of the coefficients among different analysis filters
從理論上推導出了線性相位prqmf濾波器組理想重建的一般規律，該規律表現為分析濾波器組中： （ 1 ）濾波器對稱性及其長度奇偶性的組合關系； （ 2 ）濾波器的長度應滿足的關系； （ 3 ）非同一濾波器的系數之間應滿足的關系。 -
When analyzing the conditions of monetary cooperation, the dissertation compares east asia with ecu region and south america on financial and exchange rate policies first, and then discusses 6 basic cooperating conditions completely. these conditions are : ( 1 ) the industry and trade related rate and economic open rate among east asia countries ; ( 2 ) diversity degree of products in the region ; when countries in the region can meet the condition of " diversity of low degree products ", operating monetary cooperation may have significant in reality ; ( 3 ) consistence of member states " economy period and symmetry of financial relation among member states ; ( 4 ) inflation rate ' s similarity among member states ; ( 5 ) coordination on policy among member states ; ( 6 ) support of a hard currency in the region. without a hard currency ' s support, monetary cooperation will be destroyed easily by outer speculating capital because of limitation of economy and store capital in the region
在對東亞貨幣合作可行性條件進行分析時，本文首先對東亞和其它貨幣合作區域的金融及匯率制度進行分析，以確定東亞地區在貨幣合作階段上所處的位置；然後對實施東亞貨幣合作的六大基礎條件進行了詳細的論述和分析，分別是門）區域內成員間的產業與貿易關聯度，其值越高，貨幣合作的收益越大：區域內各成員的經濟開放度，外貿依存度較高則合作收益明顯： （ 2 ）區域內產品的多樣化程度，當區域內成員符合「低程度產品多樣化」的條件時，實行貨幣一體化以抵禦外部沖擊才具有現實意義； （ ）區域內各成員之間經濟周期波動的一致性，區域內成員的金融關系及受外界沖擊的對稱性； （ 4 ）區域內各成員間通貨膨脹率的相似性； （ 5 ）區域內各成員在政治上的協調性； （ 6 ）區域內強勢貨幣的支持，缺乏強勢貨幣的支持而建立起來的貨幣同盟會因整體經濟實力和儲備資產的限制而難以擺脫外部投機資本的沖擊。 -
A study of the property of generalized nonlinear unequal - power nj - th power y - squeezing and nj - th power h - squeezing on a new type of multi - mode superposition state of the equal - intensity of symmetry superimposition state with distinguishable two quantum states light field. it was found that two quadrature phase - components of state always present cyclic - changed symmetry - complementary relation ; besides we can abtain that under the condition when nj = n, the result of document 26 and document 27 is only a special circumstance, but the result in this thesis is generalized appearance
結果發現：態， v恩）的兩個正交相位分量的廣義非線性不等冪次n _ j次方y壓縮及n _ j次方h壓縮效應總是呈現出周期性的對稱互補關系：另外，文獻26及文獻27中的研究結果僅僅只是本文的一般性理論結果在壓縮次數n _ j = n （ j = 1 ， 2 ， 3 ， … ， … ， q ）這一條件下的特例。 -
The major content of this thesis is arranged as follows : qa study of the property of arbitrary high - power generdlized nonlinear equal - power n - th power y - squeezing and n - th power h - squeezing of multi - mode superposition state of the differ - intensity of nonsymmetry superimposition state with distinguishable two quantum states in the kind ( ii ). it was found that under certain conditions, two quadrature phase - components of state vj / [ ] b ) always present cyclic - changed symmetry - complementary relation ; and from this we can conclude that equal - intensity of symmetry superposition state with distinguishable two quantum states can present equal - power n - th power y - degenerate - squeezing and equal - power n - th power h - degenerate - squeezing appearance, and differ - intensity of nonsymmetry superposition state with distinguishable two quantum states can remove equal - power n - th power y - degenerate - squeezing and equal - power n - th power h - degenerate - squeezing appearance
結果發現：態， v鏟）的兩個正交相位分量的廣義非線性等冪次n次方y壓縮及n次方h壓縮效應總是呈現出周期性的對稱互補關系；並且得出，強度相等的對稱兩態疊加是導致出現「等冪次n次方y壓縮簡並」及「等冪次n次方h壓縮簡並」的本質原因，而強度不等的非對稱兩態疊加則是消除「等冪次n次方y壓縮簡並」及「等冪次n次方h壓縮簡並」現象的有效途徑。
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