辛幾何 的英文怎麼說
中文拼音 [xīnjīhé]
辛幾何
英文
symplectic geometry-
( 2 ) the causation that the caustic phenomena of electromagnetic wave propagation in two - dimension concave reflectors occurs and the types of singularities in caustic fields are investigated, and the conclusion that there are two types of singularities ( fold and cusp ) in caustic fields in two - dimension concave reflectors is obtained ; by symplectic geometrical method, formulations of computing wave fields in and far away from caustic fields in two - dimension concave reflectors are deduced, and the results are plotted in pictures. ( 3 ) the cause of the caustic phenomena of electromagnetic wave propagation in three - dimension concave reflectors and the types of singularities in caustic fields is discussed, and the conclusion that there are three main types of singularities ( fold, cusp and swallowtail ) in caustic fields in three - dimension concave reflectors is obtained ; by symplectic geometrical method, the formulae of computing wave fields in and far away from caustic fields in three - dimension concave reflectors are deduced. particularly, the wave fields in ellipsoid concave reflector are computed, and the results displayed in special sections are given
論文主要包括三個方面： （ 1 ）分析了凹面反射的焦散現象，給出了不同凹面反射的焦散圖； （ 2 ）分析了二維凹面反射波動場焦散現象產生的原因及焦散區奇性的種類，得出了二維凹面反射波動場焦散區奇性主要有折疊（ fold ）和尖點（ cusp ）兩種的結論，利用辛幾何方法構造了圓錐曲面反射波動場非焦散區和焦散區的通用計算公式，並給出了圓柱面、橢圓柱面及雙曲柱面反射的計算結果； （ 3 ）分析了三維凹面反射波動場焦散現象產生的原因及焦散區奇性的種類，得出了三維凹面反射波動場焦散區奇性主要有折疊（ fom 、尖點kusp和燕尾k ）三種的結論，提出了利用辛幾何方法計算三維凹面反射波動場非焦散區和焦散區的計算方法，並給出了三軸不等橢球體凹面反射波動場的計算結果剖面圖。Their size parameters, the largest probability of a successful impersonation attack and the largest probability of a successful substitution attack are computed ; chapter three use sympletic geometry to construct authentication codes with arbitration, some parameters and the largest probability of successful attack are also computed ; chapter four is about lattices generated by transitive sets of subalgebras under finite chevalley groups
並計算了相關參數及成功偽造和成功替換的最大概率；第三章在辛幾何的基礎上構造了具有仲裁的認證碼，亦計算了相關參數及各種攻擊成功的最大概率；第四章討論了有限域上chevalley群作用下的子代數軌道生成的格。Ho chi sing is a conscientious hong kong policeman, and recently he has been busy investigaing a case in which hundred of holiday - makers are robbed
負責偵查本案之探員何志成窮追猛打，幾經艱辛，卒迅速破案。While the new components having the same numbers with these original physical vectors are introduced and the new components are combined with those original physical components to form a new symplectic space, the ray problem of wave propagation in geometrical optics is converted into the problem of lagrange submanifold in the symplectic space
通過引入波向量（慢度向量） ，將物理空間中幾何光學的射線問題轉化為辛空間中的lagrange子流形（超曲面）問題。( 2 ) the symplectic integrator method is applied to the high frequency asymptotic evolution of the wave equation based on maslov symplectic geometrical theory
（ 2 ）將辛演算法運用到基於masiov ?辛幾何理論的求解波動方程的高頻近似方法中。A construction of authentication code with arbitration from characteristic 2 pseudo - symplectic geometry
利用特徵為2的偽辛幾何構作一類新的帶仲裁的認證碼Maslov ' s method can overcome the drawback that the solution in the caustic region cannot be obtained with geometrical optics. the key step of the method is numerical computation of hamiltonian equations, which can be solved by the symplectic algorithm
Maslov理論克服了幾何光學法無法處理焦散現象的缺陷，但應用該理論關鍵的一步是對相空間里hamilton正則方程組的計算，辛演算法的引入使這一問題得以解決。Most will end up walking the 10 miles as petrol has almost run out, and drivers queue for up to seven days, sleeping in their cars as they wait for the pumps to open. " some of the petrol stations, they ask to see your zanu - pf
多數人最終都要走上10哩路進城，因為辛巴威國內現在幾乎沒有任何汽油，駕駛人最多得排上7天的隊，在車子里睡覺，等待加油站開門。Analytical solutions of thin plate with different boundaries under symplectic geometry form
辛幾何形態下不同邊界條件的薄板解析解In chapter 1, the author introduces the theory of symplectic geometry for hamiltonian systems, and summarizes the advantages, the construction ways, and current research situation for symplectic methods
第一章簡要概述了hamilton系統的辛幾何理論及辛演算法的特點、構造途徑和研究現狀。This paper describes a new construction of authentication codes with arbitration using sympletic geometry over finite fields, and their size parameters are computed
筆者給出了利用有限城上的辛幾何構造一個具有仲裁的認證碼，計算了其容量參數。分享友人