25,860 research outputs found
Total embedding distributions of Ringel ladders
The total embedding distributions of a graph is consisted of the orientable
embeddings and non- orientable embeddings and have been know for few classes of
graphs. The genus distribution of Ringel ladders is determined in [Discrete
Mathematics 216 (2000) 235-252] by E.H. Tesar. In this paper, the explicit
formula for non-orientable embeddings of Ringel ladders is obtained
Detecting Floating-Point Errors via Atomic Conditions
This paper tackles the important, difficult problem of detecting program inputs that trigger large floating-point errors in numerical code. It introduces a novel, principled dynamic analysis that leverages the mathematically rigorously analyzed condition numbers for atomic numerical operations, which we call atomic conditions, to effectively guide the search for large floating-point errors. Compared with existing approaches, our work based on atomic conditions has several distinctive benefits: (1) it does not rely on high-precision implementations to act as approximate oracles, which are difficult to obtain in general and computationally costly; and (2) atomic conditions provide accurate, modular search guidance. These benefits in combination lead to a highly effective approach that detects more significant errors in real-world code (e.g., widely-used numerical library functions) and achieves several orders of speedups over the state-of-the-art, thus making error analysis significantly more practical. We expect the methodology and principles behind our approach to benefit other floating-point program analysis tasks such as debugging, repair and synthesis. To facilitate the reproduction of our work, we have made our implementation, evaluation data and results publicly available on GitHub at https://github.com/FP-Analysis/atomic-condition.ISSN:2475-142
Heavy Quark Spin Symmetry Violating Hadronic Transitions of Higher Charmonia
In heavy quarkonia, hadronic transitions serve as an enlightened probe for
the structure and help to establish the understanding of light quark coupling
with a heavy degree of freedom. Moreover, in recent years, hadronic transitions
revealed remarkable discoveries to identify the new conventional heavy
quarkonia and extracting useful information about the so called "XYZ" exotic
states. In this contribution, we present our predictions for heavy quark spin
symmetry (HQSS) breaking hadronic transitions of higher and wave vector
charmonia based on our recently proposed model (inspired by Nambu-Jona-Lasinio
(NJL) model) to create light meson(s) in heavy quarkonium transitions. We also
suggest spectroscopic quantum numbers for several observed
charmoniumlike states. Our analysis indicates that the is most likely
to be a dominant state.Comment: Proceedings of the talk presented at "XVII International Conference
on Hadron Spectroscopy and Structure (Hadron2017)", 25-29 September 2017,
Salamanca, Spai
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