等冪性 的英文怎麼說
中文拼音 [děngmìxìng]
等冪性
英文
idempotence-
Considering the monotony and regularity of euclid arithmetic, the paper proposes a new multiple attribute decision making approach based on the ordinal euclid arithmetic, and the monotony, regularity and metathesis immutability of the ordinal euclid arithmetic are proved too
基於運算元有序性的構建思想,本文提出並構建了基於有序歐幾里德運算元的區間數多屬性決策演算法模型,證明了有序歐幾里德運算元的單調性、齊次性和冪等性。Property for generalized nonlinear unequalled - power difference squeezing in multimode schrodinger cat state light field
光場廣義非線性不等冪次差壓縮特性研究One special feature of this paper is that it provides fast implementation means for the all kinds of modular exponentiation algorithms, which facilitate the implementation of the rsa public key algorithms. the paper improved the sliding window algorithm by largely reducing the space complexity. meanwhile this paper represents an efficient combined algorithm to improve the processing of encryption and decryption
大數模冪乘運算是實現rsa等公鑰密碼的基本運算,其運行效率決定了rsa公鑰密碼的性能,文章主要研究了各種模冪演算法的快速實現方法,提出運用組合演算法的思想來減少演算法運行時間;並對滑動窗口取冪演算法進行了部分改進,用線性表來存儲預計算數據,從而減少了演算法的復雜度,進一步提高了rsa加/解密的效率,並在試驗測試中得到較為滿意的結果。Also, by the means of the pattern of matrix and the pattern of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors
另外,利用矩陣模式和運算元模式等工具,我們在非負無零因子半環上刻畫了強保持冪零的線性運算元和強保持可逆的線性運算元Results the general expressions of equal - power high - power nonlinear difference squeezing in the multimode state light field with any amount of states superposing was given
結果給出了任意多態疊加多模疊加態光場的廣義非線性等冪次高次差壓縮的一般表達式。Aim to find out the squeezing conditions theoretically and the properties of equal - power nonlinear difference squeezing in multimode radiation field with any amount of states superposing studied
摘要目的研究任意多態疊加多模疊加態光場的廣義非線性等冪次差壓縮特性,從理論上導出該光場呈現高次差壓縮的條件。All the contents are developed around a set of scaling laws taking the form of exponentials which relate to almost all the issues of complexity including fractals, chaos, strange attractors, localization, and symmetry breaking, etc. the main work can be summarized as follows : starting from the law of allmetric growth three fractal dimensions in a broad sense are derived, and according to these dimensions, geographical space is divided into three levels, i. e., real space, phase space, and order space, each of which corresponds to a kind of dimension. based on the idea of spatial disaggregation and using the rmi ( relationship - mapping - reversion ) principle, the urban system is formulated as three scaling laws of the three spaces, including number law, size law, and area law, which can be transformed into a set of power laws such as allometric law and zipf ’ s law associated with fractal structure
從異速生長律的縱向、橫向和切向三個角度將地理空間劃分為實空間、相空間和序空間,分別對應于空間系列、時間序列和等級序列三個層面,每個層面的測度各有自己的空間維度。基於「空間循環細分-等級體系-網路結構」的數理等價關系,利用rmi (關系-映射-反演)原則,成功地實現了城市系統宏觀模型的理論抽象,將空間復雜性問題表徵為簡單的指數式標度定律(包括數量律、規模律和尺度律) ,這一組標度律可以與一組冪次定律(包括具有分形性質的規模-數目律、異速生長定律和三參數zipf定律)互為變換。Equivalence theorem about weak convergence of probability measures ' convolution powers on locally compact groups
局部緊群上概率測度卷積冪弱收斂等價性定理In the study of semigroup theory. a very basic problem is that what kind of the semigroup ' s property we can get from its idempotent ' s property
在半群代數理論中,一個非常基本的問題是,從半群的冪等元的性質可以得到該半群的何種性質The first part, the theory and application about wu - ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc. we apply wu - ritt differential characteristic sequence method ( abbr. wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions
本文共分兩部分,第一部分討論微分特徵列法的理論和應用問題,涉及到微分方程,抽象代數,計算機代數等重要學科。將吳方法應用到具有物理意義的線性偏微分方程上去,我們給出了型序,驗證了張鴻慶教授八十年代給出的恰當解的概念,刻劃了解的規模並給出了形式冪級數解。With developing fuzzy mathematics, the importance of set value mapping has been highlighted, so that the upgrade of all kinds of the structures, such as ordered, topological measurable structure, etc, have been considered
模糊數學理論的發展突出了集值映射的重要性,各種數學結構需要由論域向其冪集上提升,如序結構的提升,拓撲結構的提升,可測結構的提升等等。It is found that, tinder certain conditions, the first or the second perpendicular phase component of the multi - mode functional superposition stale ligh field can present any generalized nonlinear equal - power higher - power sum - squeezing effect which changes periodically
結果表明,在一定的條件下,該態的第一正交相位分量(即廣義磁場分量)和第二正交相位分量(即廣義電場分量)分別呈現出周期性變化的廣義非線性等冪次高次和壓縮效應。The results show that under the condition of the squeezing - power - number being an any even number or the pruduct of the squeezing - power - number and the total cavity - mode - number being an any even number, if some certain and fixed conditions are satisfied respectively by the initial phase of each mode in the state or the sum of the initial phase of each mode in the same state mentioned above, by the initial phase difference between any two components in the state, and by the sum of mean photon - numbers, which are modulated by the initial phase of each mode in the state mentioned, of all the single mode coherent states light field, the state can always display the effect of generalized nonlinear equal - power n - th power y - squeezing, or present the effect of generalized nonlinear equal - power n - th power h - squeezing, that changes alternatively and periodically
結果發現:在壓縮次數取偶數或者壓縮次數與腔模總數這兩者之積取偶數的條件下,若各模的初始相位或者各模的初始相位和、態間的初始相位差以及受各模的初始相位調制的各單模相干態光場的平均光子數之總和等分別滿足一定的取值條件,則態| ~ ( ( 4 ) ) _ q的第一和第二這兩個正交相位分量總可分別呈現出周期性變化的、西北人學碩{ _學位論文摘要廣義非線性等冪次n次方y壓縮或者等冪次n次方h壓縮效應。That is how we can maste the structure and the congruences on it through investigating the property of its idempotents
也就是,通過考察半群的冪等元性質能多大程度地把握半群的結構及其上的同余。As a both generalization of orthodox semigroup and regular * - semigroup, ya - mada and sen gave the concept of ( weakly ) p - regular semigroup in [ 5 ], about the p - regular semigroup and ( weakly ) p - regular semigroup, sen ^ ^ seth and rui changxiang m have given a equivalent characterization of idempotet separating congruence lattice on them separately. as a generalize of this, in the forth section, the concept of p - separating congruence on a regualr ^ - semigroup is introduced. and we discuss some properties about it. after introducing the concept of p - normal subset of a regualr * - semigroup, we discribe the lattice of p - separating congruences contained in green ' s relations ? k ) in regular semigroup
和seth及芮昌祥間分別給出了其上冪等元分離同余格的一個等價刻畫作為對此的一個推廣,在第四節中,我們首先引入正則」半群上r分離同余的概念,然後研究其性質和等價刻畫,最後給出包含在二仰)中p分離同余格的一個等價刻畫。定義二:令s為正則」半群, p為s上的」同余By utilizing the multimode squeezed states theory established by yang zhiyong and hou xun and published in acta photonica sinica, the properties of generalized nonlinear equal - power n - th power y - squeezing and n - th power h - squeezing of the state, and the properties of generalized nonlinear unequal - power nj - th power y - squeezing and n j - th power h - squeezing of the state are studied firstly and systematically ; meanwhile the properties of generalized nonlinear equal - power n - th power y - squeezing and n - th power h - squeezing of the state are further studied firstly and systematically
利用多模壓縮態理論,詳細研究了態| _ 5 ~ ( ( 3 ) ) _ q的廣義非線性等冪次n次方y壓縮、等冪次n次方h壓縮、不等冪次n _ j次方y壓縮以及不等冪次n _ j次方h壓縮特性;同時,還進一步詳細研究了態| ~ ( ( 4 ) ) _ q的廣義非線性等冪次n次方y壓縮和等冪次n次方h壓縮特性。Study detailed of the properties of generalized nonlinear equal - power n - th power y - squeezing and n - th power h - squeezing on multi - mode superposition state ) as well as unequal - power nj - th power y - squeezing and nj - th power h - squeezing on multi - mode superposition state j / ^ a series of new definite results was revealed
的廣義非線性等冪次n次方y壓縮與n次方h壓縮特性及態, v恩)的廣義非線性不等冪次n _ j次方y壓縮與n _ j次方h壓縮特性進行了詳細研究。It is found that whether the squeezing - power - number is an odd or even number, or whether the product of the squeezing - power - number and the total cavity - mode - number is an odd or even number, while some fixed conditions are satisfied respectively by the initial phase of each mode in the state or the sum of the initial phase of each mode in the same state, by the initial phase difference between any two components in the state and by the sum of mean photon - numbers, which are modulated by the initial phase of each mode in the state involved, of all the single mode coherent states light field, v the state can always display the effects of generalized nonlinear equal - power n - th power y - squeezing and unequal - power nj - th power y - squeezing, or present the effects of generalized nonlinear equal - power n - th power h - squeezing and unequal - power nj - th power h - squeezing, which changes alternatively and periodically
結果發現:無論壓縮次數或者壓縮次數與腔模總數這兩者之積取奇數還是取偶數,只要各模的初始相位或者各模的初始相位和、態間的初始相位差以及受各模的初始相位調制的各單模相干態光場的平均光子數之總和等分別滿足一定的取值條件,那麼態| _ 5 ~ ( ( 3 ) ) _ q的第一和第二這兩個正交相位分量就可分別呈現出周期性變化的、廣義非線性等冪次n次方y壓縮和不等冪次n _ j次方y壓縮或者等冪次n次方h壓縮和不等冪次n _ j次方h壓縮效應。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。分享友人