critical exponents 中文意思是什麼
critical exponents
解釋
臨界指數-
The main context of this paper is to generalize some rigurous results of " critical exponents " from binary tree to k - nary tree. percolation on the trees is defined as follows. we write t = ( z, e ) for the bond percolation on the tree. we write z for the set of vertices of t. arid e for the set of its edges
K分樹是一種特殊的樹，它是一種規則樹，具體的定義如下：圖t = （ z ， e ）稱為k分樹， （其中z表示點集， e表示邊集）是指除了一個點（稱為頂點） ，與k個邊相連（即該點的度為k ） ，其它各點均與k + 1個邊相連（度為k + 1 ） ，我們可以把該點記為，稱為第0代（或祖先） ，與該頂點相鄰的點稱為第一代。 -
A generalization, n > 4, is given in this paper. in result the critical points of these koch curve with different values of tv by decimation based on ising model are same, but the critical exponents are different. the four ones, , are same, and the other two v, are different
本文對其進行一種推廣，推廣后n 4 ，對于取不同n值的科赫曲線應用重整化群的格點消元法，仍採用ising模型，結果得到同樣的相變點，但是臨界指數不完全相同，其中， ， ，相同，而，不同。 -
The existence of solution for some degenerate elliptic equation with critical exponents
群上具有臨界指數的次橢圓方程解的存在性 -
These values are the critical exponents of three - dimension site - lattice. we study the two - dimension triangular - bond lattice percolation with next - nearest - neighbor interactions on the renormalization group approach as well
另外，我們採用位置空間重整化群方法，對二維次近鄰三角格子鍵滲流模型進行了研究。 -
Similar to percolation, the critical rock fracture model is established by renormalization group theory approach, and the relation between the fracture rules and the critical probability, and the fractal dimension, and the critical exponents is studied
類似與滲流模型，就巖裂模型我們提出巖裂規則系數的概念。在此基礎上，對該模型進行了研究。得到一些有趣的結論。 -
Furthermore, we calculate the kinetic energy, the disorder energy of these systems and give a deep understanding of the thermodynamic characters of the finite systems. the mass ( charge ) distribution of fragments is also studied and the " exponents of power - law " at the " critical temperature " are obtained for a series of systems
類比于熱力學中的一些思想，我們對于體系的無規能量（內能）以及體系的徑向運動動能等進行了研究，探討了體系在相變過程中的動能及內能的變化趨勢與規律。 -
In the field of polymer solutions, a series of high precision measurements of the critical properties of polymer solutions near their critical points by his group has established scaling laws and resolved several long - standing disputes about the exact values of the associated exponents and the relations among them. the results are now benchmark data sets against which various theoretical models are tested
在聚合物溶液的研究領域中，他領導的研究小組完成了一系列有關聚合物在臨界點附近的高精度測量。這些工作導致了一系列標度律的建立並且結束了對有關標度指數數值的長期爭論。這些實驗結果現已成為驗證多種理論模型的基準資料。 -
The existence for some nonlinear elliptic equations with critical sobolev exponents and equivalued value surface boundary conditions
一類具臨界指數和等值面邊值條件橢圓型方程解的存在性
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