951 resultados para Jacobi Symbol


Relevância:

20.00% 20.00%

Publicador:

Resumo:

Denkmal der Schrift von den göttlichen Dingen & des Herrn Friedrich Heinrich Jacobi und der ihm in derselben gemachten Beschuldigung eines absichtlich täuschenden, Lüge redenden Atheismus

Relevância:

20.00% 20.00%

Publicador:

Resumo:

Signatur des Originals: S 36/F04766

Relevância:

20.00% 20.00%

Publicador:

Resumo:

Signatur des Originals: S 36/F04767

Relevância:

20.00% 20.00%

Publicador:

Resumo:

This paper presents an alternative Forward Error Correction scheme, based on Reed-Solomon codes, with the aim of protecting the transmission of RTP-multimedia streams: the inter-packet symbol approach. This scheme is based on an alternative bit structure that allocates each symbol of the Reed-Solomon code in several RTP-media packets. This characteristic permits to exploit better the recovery capability of Reed-Solomon codes against bursty packet losses. The performance of our approach has been studied in terms of encoding/decoding time versus recovery capability, and compared with other proposed schemes in the literature. The theoretical analysis has shown that our approach allows the use of a lower size of the Galois Fields compared to other solutions. This lower size results in a decrease of the required encoding/decoding time while keeping a comparable recovery capability. Finally, experimental results have been carried out to assess the performance of our approach compared to other schemes in a simulated environment, where models for wireless and wireline channels have been considered.

Relevância:

20.00% 20.00%

Publicador:

Resumo:

Hojas imp. por ambas caras

Relevância:

20.00% 20.00%

Publicador:

Resumo:

In this paper, we give two infinite families of explicit exact formulas that generalize Jacobi’s (1829) 4 and 8 squares identities to 4n2 or 4n(n + 1) squares, respectively, without using cusp forms. Our 24 squares identity leads to a different formula for Ramanujan’s tau function τ(n), when n is odd. These results arise in the setting of Jacobi elliptic functions, Jacobi continued fractions, Hankel or Turánian determinants, Fourier series, Lambert series, inclusion/exclusion, Laplace expansion formula for determinants, and Schur functions. We have also obtained many additional infinite families of identities in this same setting that are analogous to the η-function identities in appendix I of Macdonald’s work [Macdonald, I. G. (1972) Invent. Math. 15, 91–143]. A special case of our methods yields a proof of the two conjectured [Kac, V. G. and Wakimoto, M. (1994) in Progress in Mathematics, eds. Brylinski, J.-L., Brylinski, R., Guillemin, V. & Kac, V. (Birkhäuser Boston, Boston, MA), Vol. 123, pp. 415–456] identities involving representing a positive integer by sums of 4n2 or 4n(n + 1) triangular numbers, respectively. Our 16 and 24 squares identities were originally obtained via multiple basic hypergeometric series, Gustafson’s Cℓ nonterminating 6φ5 summation theorem, and Andrews’ basic hypergeometric series proof of Jacobi’s 4 and 8 squares identities. We have (elsewhere) applied symmetry and Schur function techniques to this original approach to prove the existence of similar infinite families of sums of squares identities for n2 or n(n + 1) squares, respectively. Our sums of more than 8 squares identities are not the same as the formulas of Mathews (1895), Glaisher (1907), Ramanujan (1916), Mordell (1917, 1919), Hardy (1918, 1920), Kac and Wakimoto, and many others.

Relevância:

20.00% 20.00%

Publicador:

Resumo:

A rhetorical approach to the fiction of war offers an appropriate vehicle by which one may encounter and interrogate such literature and the cultural metanarratives that exist therein. My project is a critical analysis—one that relies heavily upon Kenneth Burke’s dramatistic method and his concepts of scapegoating, the comic corrective, and hierarchical psychosis—of three war novels published in 2012 (The Yellow Birds by Kevin Powers, FOBBIT by David Abrams, and Billy Lynn’s Long Halftime Walk by Ben Fountain). This analysis assumes a rhetorical screen in order to subvert and redirect the grand narratives the United States perpetuates in art form whenever it goes to war. Kenneth Burke’s concept of ad bellum purificandum (the purification of war) sought to bridge the gap between war experience and the discourse that it creates in both art and criticism. My work extends that project. I examine the symbolic incongruity of convenient symbols that migrate from war to war (“Geronimo” was used as code for Osama bin Laden’s death during the S.E.A.L team raid; “Indian Country” stands for any dangerous land in Iraq; hajji is this generation’s epithet for the enemy other). Such an examination can weaken our cultural “symbol mongering,” to borrow a phrase from Walker Percy. These three books, examined according to Burke’s methodology, exhibit a wide range of approaches to the soldier’s tale. Notably, however, whether they refigure the grand narratives of modern culture or recast the common redemptive war narrative into more complex representations, this examination shows how one can grasp, contend, and transcend the metanarrative of the typical, redemptive war story.