Bambusaceæ Japonicæ. (Continued from p. 81.)

P -adic Continued Fractions

Continued fractions in R have a single definition and algorithms for approximating them are well known. There also exists a well known result which states that √ m, m ∈ Q, always has a periodic continued fraction representation. In Qp, the field of p-adics, however, there are competing and non-equivalent definitions of continued fractions and no single algorithm exists which always produces a p...

Quantum Computation 81 P 68 [ 1 ]

Response to Comment on “ Organics Captured from Comet 81 P / Wild 2 by the Stardust Spacecraft ”

In Sandford et al. (1), we reported that organics found in samples returned by the Stardust spacecraft to Earth from Comet 81P/Wild 2 show a heterogeneous and unequilibrated distribution in both abundance and composition. Portions of the organics show similarities to those in meteorites and interplanetary dust particles (IDPs), but the entire suite of returned organics is more diverse and varie...

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TGFb1 and TGFb3 are partially redundant effectors in brain vascular morphogenesis 508 Polydactyly in the mouse mutant Doublefoot involves altered Gli3 processing and is caused by a large deletion in cis to Indian hedgehog 517 Subtypes of glial cells in the Drosophila embryonic ventral nerve cord as related to lineage and gene expression 542

Continued Fractions and Fermionic Representations for Characters of M(p, p) Minimal models

We present fermionic sum representations of the characters χ (p,p) r,s of the minimal M(p, p) models for all relatively prime integers p > p for some allowed values of r and s. Our starting point is binomial (q-binomial) identities derived from a truncation of the state counting equations of the XXZ spin 1 2 chain of anisotropy −∆ = − cos(π p p′ ). We use the Takahashi-Suzuki method to express ...