Combinatorial Identities
Mostrando 1-11 de 11 artigos, teses e dissertações.
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1. Demonstrações bijetivas em partições / Bijectives demonstrations in partitions
This work presents some results about partitions of integers numbers and their importance in the history of Mathematics and in the Theory of the Numbers. To find bijective demonstrations in partitions it is not easy. But, after finding them, to understand and to prove some Identities of Partitions becomes agreeable and easy. This work intends to be didatic a
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 17/02/2011
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2. Interpretações combinatórias para identidades envolvendo sobrepartições e partições planas / Combinatorial interpretation for identities envolving overpartitions and plane partitions
Neste trabalho apresentaremos novas provas bijetivas para identidades relacionadas a partições em partes pares e distintas, generalizações das identidades de Rogers-Ramanujan entre outras. Porém o objetivo principal será trabalhar com sobrepartições de inteiros, dando a estes uma nova interpretação em termos de matrizes de três linhas. Exibiremos
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 18/06/2010
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3. Bijectives proofs through new matricial representation for partitions / Provas bijetivas atraves de nova representação matricial para partições
No presente trabalho, apresentamos provas bijetivas para algumas identidades. A principal ferramenta utilizada _e a representação para partições como matrizes de duas linhas introduzida em [9] e [10]. Também apresentamos algumas conseqüências desta representação e a extendemos a outros casos. Uma prova bijetiva para uma identidade envolvendo os Núm
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 21/08/2009
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4. Aspectos combinatorios de identidades do tipo Rogers-Ramanujan / Aspects combinatorics of identities Rogers-Ramanujan type
In this work many of the identities of the Rogers-Ramanujan type given by Slater are considered. In 1985, Andrews, introduced a general method in other to extend to two variables identities of this type in order to get, as special cases, some important functions of Ramanujan. Santos, in 1991, gave conjectures for many of the family of polynomials that appear
Publicado em: 2006
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5. Alguns resultados em teoria de partições e teoria de codigos
This thesis consists of the publications done by the candidate. In these publications we have used many combinatorial to01s inc1uding: generating functions, q-calculus, various properties of sequences of integer numbers etc. were used in the theory of partitions and the coding theory. The thesis consists of six papers: three of them take into consideration c
Publicado em: 2004
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6. PI-Algebras
This dissertation introduces the first notions of the combinatorial study of the theory of algebras that satisfy polynomial identities (the so-called P I -algebras), as well as some of their most important results. We present the theorems due to Kaplansky and Regev, about the tensor product of P 1-algebras. Besides, we describe some results due to Amitsur an
Publicado em: 2003
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7. De novo amyloid proteins from designed combinatorial libraries
Amyloid deposits are associated with several neurodegenerative diseases, including Alzheimer’s disease and the prion diseases. The amyloid fibrils isolated from these different diseases share similar structural features. However, the protein sequences that assemble into these fibrils differ substantially from one disease to another. To probe the relationsh
The National Academy of Sciences.
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8. Establishment of the Deformed expression stripe requires the combinatorial action of coordinate, gap and pair-rule proteins.
In Drosophila embryos, anterior-posterior positional identities are set and maintained by the expression boundaries of homeotic selector genes. The establishment of the initial expression boundaries of the homeotic genes are in turn dependent on earlier acting patterning genes of Drosophila. To define the combinations of early genes that are required to esta
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9. HUA1, a Regulator of Stamen and Carpel Identities in Arabidopsis, Codes for a Nuclear RNA Binding Protein
Stamen and carpel identities are specified by the combinatorial activities of several floral homeotic genes, APETALA3, PISTILLATA, AGAMOUS (AG), SEPALLATA1 (SEP1), SEPALLATA2 (SEP2), and SEPALLATA3 (SEP3), all of which code for MADS domain DNA binding proteins. AG and the SEP genes also control floral determinacy. HUA1 and HUA2 were identified previously as
American Society of Plant Biologists.
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10. Solution structure of a de novo protein from a designed combinatorial library
Combinatorial libraries of de novo amino acid sequences can provide a rich source of diversity for the discovery of novel proteins. Randomly generated sequences, however, rarely fold into well ordered protein-like structures. To enhance the quality of a library, diversity must be focused into those regions of sequence space most likely to yield well folded s
National Academy of Sciences.
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11. Rationally designed mutations convert de novo amyloid-like fibrils into monomeric β-sheet proteins
Amyloid fibrils are associated with a variety of neurodegenerative maladies including Alzheimer's disease and the prion diseases. The structures of amyloid fibrils are composed of β-strands oriented orthogonal to the fibril axis (“cross β” structure). We previously reported the design and characterization of a combinatorial library of de novo β-sheet
The National Academy of Sciences.