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邻格
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  adjacent lattice
     The positive definite unimodular lattices,the adjacent lattice relations and the number of adjacent lattice chains of the positive unimodular lattices over Q(8k+1)~(1/2) are given.
     给出了实二次域Q(8k+1)~(1/2)上的正定幺模格种类及其邻格关系和邻格链个数.
短句来源
     Using the generalized adjacent lattice method,all the positive unimodular lattices of rank ≤ 4 over Q(17) ~(1/2)are classified,their representative forms are also given.
     利用推广的邻格方法,对Q(17)~(1/2)上的秩≤4的所有正定幺模格进行了分类,给出了代表格.
短句来源
     Using generalized adjacent lattice methods and Siegel mass formula we get the following result: The class number h(In) of unit lattice In(n ≥4) over real quadratic field F is 3 if and only if F=(?)
     用邻格方法及Siegel mass公式证明了实二次代数域(?) (d~(1/2))上单位格种gen(In)(n≥4)的类数h(In)=3当且仅当(?)
短句来源
     the adjacent lattice methods of Kneser are generalized, some adjacent lattice properties of the positive definite unimodular genera of rank 4n and determinant 1 over Z[/d] are given, and the classification of all the positive unimodular lattices of rank 4 over Z[/3]are obtained.
     推广了Kneser的邻格方法,研究了Z[/d]  上的秩4n判别式1的正定幺模种的邻格性质,完成了Z[/3]上秩4的正定幺模格的分类.
短句来源
     By comprehensive utilizing adjacent lattice mathods and Siegel mass formula, -we obtain the class number of poaitive even unimodular lattices over Q( ) (d is squarefree positive integer) in V In (n≥ 4) is 2 if and only if Q( ),n=4 and Q( ),n=8.
     本文综合利用邻格方法及Siegel mass公式证明了实二次域Q( )上 内的偶幺模 格类数为2当且仅当Q( ),n=4及Q( ). n=8.
短句来源
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  adjacent lattices
     We complete the cassification of unimodular lattices of gen(I\-3) and gen(I\-3⊥<ε>)(ε=8+37) over Z[7]by adjacent lattices method, and obtain h(I\-3)=3,h(I\-3⊥<ε>)=12, and the representative lattices of each class are given.
     利用邻格方法完成了Z[7]上秩 3的单位格种 gen(Ⅰ3 )及秩 4判别式ε=8+37的正定幺模格种W的分类 ,得到了h(Ⅰ3 ) =3,h(W ) =12及每一类的代表格
短句来源
     Using the generalized adjacent lattices method, we get the classification of the genera of definite unimodular lattices with rank 4 over Q(6~(1/2)) which are positive definite over one archimedean spot ∞1 and negetive definite over another archimedean spot ∞2.
     利用推广的邻格方法,完成了Q(6~(1/2))上秩4的在一个阿基米德除子上正定,在另一阿基米德除子上负定的所有幺模格种的分类.
短句来源
     In this paper ,the author first generalizes the adjacent lattices method which is used byLiterature[1],[2],and[3]; then he tries the method to classify his newly-found genuses. And a rather integrated result is obtained.
     本文推广了文献[1]、[2]、[3]中的邻格方法,对一类新的定么模格进行了分类,得到了较完整的结果。
短句来源
  “邻格”译为未确定词的双语例句
     Superconductivity from the Direct Hybridization Mechanism between Nearest-Neighbor Sites
     最近邻格点间直接杂化机制引起的超导电性
短句来源
     Based on the intraatomic electron correlation and the interatomic electron and spin correlation, the local approach has been used to the Hubbard model.
     本文基于同一格点的电子相关和最近邻格点间的电荷相关及自旋相关,把局域方法的级数展开用于Hubbard模型。
短句来源
     As is well known, nearest-neighbor harmonic and cubic, quartic anharmonic interactions may cause nonlinear lattices exhibit series of elementary excitation, which exist not only envelope solitons but also asymmetric intrinsic localized modes: envelope-kink, and envelope-antikink solitons.
     考虑到最近邻格点间谐振和三次方、四次方非谐相互作用,非线性晶格中既存在包络孤子,又存在反对称的内部局域模式——扭状、反扭状包络孤子等一系列非线性元激发。 当计及最近邻格点间的相互作用理论基本成熟后,同时包含高次非谐相互作用和各种长程关联谐振的晶格动力学问题就显得日益重要了。
短句来源
     A discussion is made aboutthe influence of repulsion between electrons at neighbor sites on the ferro-magnetic/antiferromagnetic susceptibility.
     讨论了最近邻格点的电子与电子之间的排斥作用对系统铁磁和反铁磁磁化率的影响。
短句来源
     When the strengths of various couplings are changed, there will exist a critical point of the inter-site electron-electron Coulomb repulsion, and at this point, the system will experience a transformation from strong SDW state to strong SDW one.
     在改变系统内有关耦合参数的情况下 ,均存在一个最近邻格点间的电子 -电子 Coulomb排斥相互作用的临界值 ,在该临界值处 ,系统将发生由强SDW态向强 CDW态的转变
短句来源
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  adjacent lattice
Crystallite-conjugation regions and adjacent lattice regions in polycrystalline iridium: I.
      
Crystallite-conjugation regions and adjacent lattice regions in polycrystalline iridium: II.
      
Crystallite-conjugation regions and adjacent lattice regions in polycrystalline iridium: III.
      
The granule matrix consists of compacted and loosely aggregated fine fibrils and paracrystalline cores made up of rod-like subunits; the superimposed rodlets of adjacent lattice planes intersect at 70 degrees.
      
The average number of steps required for a walker to be trapped is calculated when the probability of stepping to adjacent lattice sites is not symmetrical, and is found to be less than that calculated for a symmetrical walk.
      
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  adjacent lattices
Kneser's method of constructing adjacent lattices will be used to determine class numbers of unimodular positive definite hermitian lattices of rank 2 and 3 over rings of integers in some imaginary quadratic fields.
      
The concept of structural units (SU's) developed in order to describe the atomic structures of twin boundary facets is also used for interphase boundary (IB) facets quasi-parallel to small near-coincident planar cells of the two adjacent lattices.
      
Each lattice has several state variables, and their status is updated depending on the variables on the adjacent lattices.
      
  unimodular lattice
It is proved that for any unimodular lattice Λ with homogeneous minimum L>amp;gt;0 and any set of real numbers α1, α2,..., αn there exists a point (y1, y2,..., yn) of Λ such that
      
We prove that the action of the orthogonal group of an integral, unimodular lattice whose rank and signature satisfy a certain indefiniteness condition acts transitively on pairs of mutually orthogonal elements with the same isometric invariants.
      
An example of a 32-dimensional even unimodular lattice
      
An example is constructed of a 32-dimensional even unimodular lattice without roots.
      
An effective description of (n-1) -dimensional faces is given for a Voronoi parallelohedron formed in an even unimodular lattice of dimension 32 without roots.
      
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In this paper ,the author first generalizes the adjacent lattices method which is used byLiterature[1],[2],and[3];then he tries the method to classify his newly-found genuses.And a rather integrated result is obtained.

本文推广了文献[1]、[2]、[3]中的邻格方法,对一类新的定么模格进行了分类,得到了较完整的结果。

We complete the cassification of unimodular lattices of gen(I\-3) and gen(I\-3⊥<ε>)(ε=8+37) over Z[7]by adjacent lattices method, and obtain h(I\-3)=3,h(I\-3⊥<ε>)=12, and the representative lattices of each class are given.

利用邻格方法完成了Z[7]上秩 3的单位格种 gen(Ⅰ3 )及秩 4判别式ε=8+37的正定幺模格种W的分类 ,得到了h(Ⅰ3 ) =3,h(W ) =12及每一类的代表格

In this paper, the author applies adjacent lattice method and Siegel mass formula to determine the classes of positive definite unimodular lattices of rank 4 over Z , and obtains that the class number of unit genus gen( I 4 ) is nine and the class number of even unimodular lattices is three, and also gives the representative lattices of each class.

本文综合利用邻格方法及Siegelmass公式对Z[(1+ 2 1) /2 ]上秩 4的正定幺模格实现了分类 ,得到了gen(I4 )的类数为 9,偶模格的类数为 3,并且给了代表格

 
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