辛空間 的英文怎麼說
中文拼音 [xīnkōngjiān]
辛空間
英文
symplectic space-
The asteroids are the most important small bodies in the solarsystem, and they mainly lies in the two locations - a main belt between the mars ' s orbit and the jupiter ' s and the near - earth space. the most feature of the orbits of near - earth asteroids ( neas ) is that the semi - major axes of the orbits are nearly equal to that of the earth or the perihelia distances are approximate to or even less than the mean distance between the sun and the earth, thus they could move into inside of the earth ' s orbit, so that they might close approach or even colliside with the earth ( or other planets, such as the venus, the mars, etc. ). the characteristic brings about some difficulties in the numerical research during their orbital evolution, which leads to the failure of the normalization technique in the general removal impact singularities of celestial mechanics methods and the symplectic algorithm which is successfully applied to the investigation in quality. by comparing the computation effects of several common numerical methods ( including symplectic algorithm ), and considering the nature of the movement of the small bodies, the corresponding treatments are provided here to improve the reliability of the computation
小行星是太陽系最重要的一類小天體，主要分佈在兩個區域；火星和木星軌道之間的一條主帶和近地空間.近地小行星軌道的最大特點是其軌道半長徑與地球軌道半長徑相近，或近日距離接近甚至小於日地平均距離，其運動可深入到地球軌道的內部，這將導致該類小行星與地球（還有金星、火星等）十分靠近甚至發生碰撞.這一特徵給其軌道演化數值研究帶來一些困難，包括天體力學方法中一般消除碰撞奇點的正規化處理以及對定性研究十分成功的辛演算法都將在不同程度上失效.通過對幾種常用數值方法（包括辛演算法）計算效果的比較，根據小天體運動自身的特性，給出了相應處理措施，從而可提高計算結果的可靠性Since the linear or nonlinear electromagnetic field equations can be written as an infinite - dimensional hamiltonian system, whose solution can be viewed as a hamiltonian flow in the phase space which preserves the symplectic structure in the time direction. such important features should not be neglected during the construction of numerical methods for the field equations
由於線性或非線性的電磁場方程可以轉化成無限維的hamilton系統，其結果可以看作是定義在相空間里的時間上保持辛結構的hamilton流，因而在對場方程構造數值演算法時就不應忽略這樣重要的性質。This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory. by realizing an action of the rational loop group on the spaces of corrsponding solutions, we get the backlund transformation and the darboux transformation, and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm
主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入，通過有理loop群在其解空間上的dressing作用，給出b icklund變換和darboux變換的顯式表示，從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。In this paper, two kinds of bilinear functions have been mainly discussed, and symplectic space been only simple introduced
摘要該文旨在闡述二類雙線性函數的聯系、區別，並初步介紹了辛空間的概念。In this paper, the symplectic direct decomposition of complex symplectic linear spaces is given. these results laid foundations for further research on normal forms of complex symplectic matrices
給出了復辛線性空間的辛直和分解，這些結果為將來進一步研究復辛矩陣的標準形打下了基礎By introducing dual variables, the dual governing equations and boundary conditions, which are composed by mixed variables under whole state space, are obtained
引入對偶變量，進一步建立使問題化為在以混合變量組成的全狀態辛空間中的控制正則方程和初邊條件。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。In this paper, by means of the euler systems on the symplectic manifold, the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained. then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint. by means of this and based on the euler - lagrange function and legendre transformations, the reasonable jacobi - ostrogradsky coordinate systems are found, which can also be realized
本文主要通過流形上的euler系統，討論四階特徵值問題所對應的bargmann系統和neumann系統，藉助于lax對非線性化及euler - lagrange方程和legendre變換，構造一組合理的且可實化的jacobi - ostrogradsky坐標系? hamilton正則坐標系，將由lagrange力學描述的動力系統轉化為辛空間（ r ~ （ 8n ） ， ）上的hamillton正則系統。The processing of true colour images is adapted from a software originally developed by the space science and engineering centre of the university of wisconsin - madison, usa
真彩圖像的處理軟體是美國威斯康辛-麥迪遜大學的空間科學與工程中心開發的。Its content may be separated into two parts. the first part contains chapter one and chapter two, which treat of the harmonic maps from surface into symplectic groups and quaternion grassmann manifolds. the second part contains chapter three and chapter four, which treat of local isometric immersions from space forms or riemannian products of space forms into space forms
全文分四章，內容可分為兩部分：第一部分包括第一、二章，主要論涉從曲面到辛群及四元grassmann流形的調和映射；第二部分包括第三、四章，主要論涉從空間形式或空間形式的局部riemann積到空間形式的局部等距浸入。We are standing reverently on the edge of art, guarding the homestead ; we are feeling the development of art with our senses of news, paying attention to the living space of art. we enjoy the development of art and art promote the developing of this new age
我們虔誠地站在藝術的邊緣，守望著辛勞構築的家園；我們以新聞的觸覺感受美術界的動態，關注美術圈門里門外的生存空間，共享美術推動進步，藝術促進繁榮的新時代。The symplectic integrator method is the new time - domain method which is specialized to a hamiltonian system and can preserve the symple ctic structure of the phase space
辛演算法正是用來保持hamilton系統相空間辛結構的一種新的數值方法，並且在計算精度、時間上具有優越性。The accuracy, computational time and required memory of the symplectic prk method are compared with the standard fdtd method. the results show that the symplectic integrator method is promising
本文比較了二維時fdtd法和辛演算法的精度、計算時間和內存空間，結果顯示了辛演算法的優越性。The majority of homes hae built - in closets and sheles, and people spare no pains to add dressers, filing cabinets and closet organizers to maximize their storage space
大多數的家庭都有壁櫥以及架子，人們也不辭辛勞的添加櫥櫃、文件櫃以及壁櫃分隔架來加大儲藏空間。The majority of homes have built - in closets and shelves, and people spare no pains to add dressers, filing cabinets and closet organizers to maximize their storage space
大多數的家庭都有壁櫥以及架子，人們也不辭辛勞的添加櫥櫃、文件櫃以及壁櫃分隔架來加大儲藏空間。Iowa state university horticulture specialist cindy haynes suggests planting the seeds one and one - quarter centimeters deep. they should be planted in rows that are spaced thirty to forty - six centimeters apart
愛荷華州立大學園藝專家辛迪海恩思建議種植甜菜籽1又1 / 4厘米的深度。種植行距空間為30 ? 46厘米。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。" this is the ultimate david versus goliath battle, but here david loses, " said gunther hasinger, of the max planck institute for extraterrestrial physics in germany
「這是大衛和歌利亞的決戰，但是這次大衛輸了。 」德國馬普外層空間物理學院的貢特爾?哈辛格說。By means of the theory and the computational methods and via the laplacian transform, the viscoelastic problem can be come down to fundamental problems under the phase space. then hamiltonian system is introduced into the space
論文採用理論與計算相結合的研究方法，通過拉普拉斯變換將粘彈性力學問題歸結為相空間的基本問題，進一步在相空間中引入辛體系。The accuracies of the different orders symplectic difference schemes are compared and the effect of the spatial discretization methods upon the accuracy is analyzed by simulating the propagation of a one - dimensional wave under the periodic boundary condition
本文用一維波動方程的初邊值問題初步比較了不同階數辛格式的精度，並分析了空間離散格式對精度的影響。分享友人