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 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 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 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
 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 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 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
 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
 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

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 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. 更多
 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. 更多
 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.