We give explicitly in the closed formulae genus zero primary potentials of three 6-dimensional FJRW theories simple-elliptic singularity $\tilde E_7$ with non-maximal symmetry groups. For each these we establish CY/LG correspondence to Gromov-Witten theory orbifold $[\mathcal{E}/ (\mathbb{Z}/2\mathbb{Z})]$ --- quotient elliptic curve by hyperelliptic involution. Namely, Givental's group element...

1 Introduction Covert Robotics is an interesting research problem which we have presented earlier in [Marzouqi and Jarvis, 2003; Marzouqi and Jarvis, 2004]. The aim of the research is to create autonomous mobile robots with the ability to accomplish different types of navigation missions covertly, i.e. without being observed by one or more, possibly hostile, sentries operating within the same e...

ACKNOWLEDGMENT The authors express their appreciation for numerous constructive suggestions, which led to improvements on various phases of the manuscript, to Dr. A high performance multiple data rate burst modem for satellite packet communication, " EASCON Conference Record, Nov. 198 1. A microprocessor-based PSK modem for packet transmission over satellite channels, " IEEE Truns. Abstract-A g...

Natural human embryonic mortality is generally considered to be high. Values of 70% and higher are widely cited. However, it is difficult to determine accurately owing to an absence of direct data quantifying embryo loss between fertilisation and implantation. The best available data for quantifying pregnancy loss come from three published prospective studies (Wilcox, Zinaman and Wang) with dai...

Natural human embryonic mortality is generally considered to be high. Values of 70% and higher are widely cited. However, it is difficult to determine accurately owing to an absence of direct data quantifying embryo loss between fertilisation and implantation. The best available data for quantifying pregnancy loss come from three published prospective studies (Wilcox, Zinaman and Wang) with dai...

Abstract By generalizing the Landau–Ginzburg/Calabi–Yau correspondence for hypersurfaces, we can relate a Calabi–Yau complete intersection to hybrid Landau–Ginzburg model: family of isolated singularities fibered over projective line. In recent years Fan, Jarvis, and Ruan have defined quantum invariants this type, Clader Clader–Ross provided an equivalence between these Gromov–Witten intersecti...

We attach a certain n × n matrix An to the Dirichlet series L(s) = ∑ ∞ k=1 akk . We study the determinant, characteristic polynomial, eigenvalues, and eigenvectors of these matrices. The determinant of An can be understood as a weighted sum of the first n coefficients of the Dirichlet series L(s). We give an interpretation of the partial sum of a Dirichlet series as a product of eigenvalues. In...