We prove a relation between several easy-to-define numerical invariants of generic knots in H × S, and discuss its implication to contact geometry. 1. Definitions of Invariants The 2-dimensional hyperbolic space H2 is defined to be the upper half plane {(x, y) ∈ R2| y > 0} equipped with the metric ds2 = dx +dy y2 . STH2 is the unit tangent bundle of H2, i.e., the S1-bundle over H2 formed by tan...

This paper introduces an interpolation framework for the weighted-H2 model reduction problem. We obtain a new representation of the weighted-H2 norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H2 norm representation also provides an error expression that motivates a new weighted-H2 model reduction algorithm. Several nu...

To obtain high-yield H2 ion beam, experimental and theoretical study was carried out on the 2.45 GHz Peking University permanent magnet electron cyclotron resonance ion source (PKU PMECRIS). With PMECR II [1], studies on the size of discharge chamber and the operation pressure were carried out to increase H2 ion fraction. Beam analysis results prove that the H2 can reach 47.7% with suitable ope...

Background Redox regulation system protects our body from oxidative stress-injury and keeps redox homeostasis. The hydrogen molecules (H2) exist as stable gas in the ordinal temperature and atmosphere. Recent study reports H2 improve ischemia-reperfusion injury, glaucoma, Parkinson’s disease and atherosclerosis of animal models. It is supposed from these improvement results that H2 participate ...

We present a trust-region approach for optimal H2 model reduction of multiple-input/multiple-output (MIMO) linear dynamical systems. The proposed approach generates a sequence of reduced order models producing monotone improving H2 error norms and is globally convergent to a reduced order model guaranteed to satisfy first-order optimality conditions with respect to H2 error criteria. Unlike exi...

We give definitions and some properties of the shift operator SL(H2) and multiplication operator on L(H ). In addition, we obtain some properties of the commutant of the shift operator SL(H2) and characterize SL(H2)-invariant subspaces.

Escherichia coli uptake hydrogenase 2 (Hyd-2) catalyzes the reversible oxidation of H2 to protons and electrons. Hyd-2 synthesis is strongly upregulated during growth on glycerol or on glycerol-fumarate. Membrane-associated Hyd-2 is an unusual heterotetrameric [NiFe]-hydrogenase that lacks a typical cytochrome b membrane anchor subunit, which transfers electrons to the quinone pool. Instead, Hy...

Introduction: Permanent hearing loss and tinnitus as side-effects from treatment with the anticancer drug cisplatin is a clinical problem. Ototoxicity may be reduced by co-administration of an otoprotective agent, but the results in humans have so far been modest. Aim: The present preclinical in vivo study aimed to explore the protective efficacy of hydrogen (H2) inhalation on ototoxicity induc...

Biologically produced molecular hydrogen (H2) is characterised by a very strong depletion in deuterium. Although the biological source to the atmosphere is small compared to photochemical or combustion sources, it makes an important contribution to the global isotope budget of H2. Large uncertainties exist in the quantification of the individual production and degradation processes that contrib...

During the last years, the Internet Application (Remote Flexible Control and Instrumentation, Telecontrol...) has retained the attention of Control researchers for modeling and studying the congestion control of TCP/IP (Transfer Control Protocol/Internet Protocol) networks. The controllers proposed in the literature such as RED (Random Early Detection) or PID (Proportional Integrate Derivative)...