The investigation was conducted to know the effect of 2, 4-Dichlorophenoxy acetic acid and inoculation on Para-nodule formation and growth parameters in wheat. Formation of nodular outgrowth on the roots of wheat seed...The investigation was conducted to know the effect of 2, 4-Dichlorophenoxy acetic acid and inoculation on Para-nodule formation and growth parameters in wheat. Formation of nodular outgrowth on the roots of wheat seedlings treated with 2, 4-D commenced in 8-10 days. The maximum Para-nodule formation was found in 1 ppm of 2, 4-D when incubated with bradyrhizobium P-132. Inoculation of the same has helped to increase the number of Para-nodule, but not essential for Para-nodulation. Histological study shows that, these induced Para-nodules originated from the pericycle and these are appeared to be modified lateral roots and Para-nodule structure formations however, it enhanced by bradyrhizobial inoculation.展开更多
We introduce an algebraic structure allowing us to describe subgraphs of a regular rooted tree. Its elements are called structure polynomials, and they are in a one- to-one correspondence with the set of all subgraphs...We introduce an algebraic structure allowing us to describe subgraphs of a regular rooted tree. Its elements are called structure polynomials, and they are in a one- to-one correspondence with the set of all subgraphs of the tree. We define two operations, the sum and the product of structure polynomials, giving a graph interpretation of them. Then we introduce an equivalence relation between polynomials, using the action of the full automorphism group of the tree, and we count equivalence classes of subgraphs modulo this equivalence. We also prove that this action gives rise to symmetric Gelfand pairs. Finally, when the regularity degree of the tree is a prime p, we regard each level of the tree as a finite dimensional vector space over the finite field Fp, and we are able to completely characterize structure polynomials corresponding to subgraphs whose leaf set is a vector subspace.展开更多
Let {Si}li=1 be an iterated function system （IFS） on Rd with attractor K. Let π be the canonical projection. In this paper, we define a new concept called ＂projection pressure＂ Pπ（φ） for φ ∈（Rd） under cer...Let {Si}li=1 be an iterated function system （IFS） on Rd with attractor K. Let π be the canonical projection. In this paper, we define a new concept called ＂projection pressure＂ Pπ（φ） for φ ∈（Rd） under certain arlene IFS, and show the variational principle about the projection pressure. Furthermore, we check that the unique zero root of ＂projection pressure＂ still satisfies Bowen＇s equation when each Si is the similar map with the same compression ratio. Using the root of Bowen＇s equation, we can get the Hausdorff dimension of the attractor K.展开更多
文摘The investigation was conducted to know the effect of 2, 4-Dichlorophenoxy acetic acid and inoculation on Para-nodule formation and growth parameters in wheat. Formation of nodular outgrowth on the roots of wheat seedlings treated with 2, 4-D commenced in 8-10 days. The maximum Para-nodule formation was found in 1 ppm of 2, 4-D when incubated with bradyrhizobium P-132. Inoculation of the same has helped to increase the number of Para-nodule, but not essential for Para-nodulation. Histological study shows that, these induced Para-nodules originated from the pericycle and these are appeared to be modified lateral roots and Para-nodule structure formations however, it enhanced by bradyrhizobial inoculation.
文摘We introduce an algebraic structure allowing us to describe subgraphs of a regular rooted tree. Its elements are called structure polynomials, and they are in a one- to-one correspondence with the set of all subgraphs of the tree. We define two operations, the sum and the product of structure polynomials, giving a graph interpretation of them. Then we introduce an equivalence relation between polynomials, using the action of the full automorphism group of the tree, and we count equivalence classes of subgraphs modulo this equivalence. We also prove that this action gives rise to symmetric Gelfand pairs. Finally, when the regularity degree of the tree is a prime p, we regard each level of the tree as a finite dimensional vector space over the finite field Fp, and we are able to completely characterize structure polynomials corresponding to subgraphs whose leaf set is a vector subspace.
基金supported by National Natural Science Foundation of China (Grant No.10971100)National Basic Research Program of China (973 Program) (Grant No. 2007CB814800)
文摘Let {Si}li=1 be an iterated function system （IFS） on Rd with attractor K. Let π be the canonical projection. In this paper, we define a new concept called ＂projection pressure＂ Pπ（φ） for φ ∈（Rd） under certain arlene IFS, and show the variational principle about the projection pressure. Furthermore, we check that the unique zero root of ＂projection pressure＂ still satisfies Bowen＇s equation when each Si is the similar map with the same compression ratio. Using the root of Bowen＇s equation, we can get the Hausdorff dimension of the attractor K.
