This paper is devoted to the study of the singularity phenomenon of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$. We find that there are two explicit lightlike self-similar solutions to a graph representation of timelike extremal hypersurfaces in Minkowski spacetime $mathbb{R}^{1+3}$, the geometry of them are two spheres. The linear mode unstable of those lightlike self-similar solutions for the radially symmetric membranes equation is given. After that, we show those self-similar solutions of the radially symmetric membranes equation are nonlinearly stable inside a strictly proper subset of the backward lightcone. This means that the dynamical behavior of those two spheres is as attractors. Meanwhile, we overcome the double roots case (the theorem of Poincar'{e} can't be used) in solving the difference equation by construction of a Newton's polygon when we carry out the analysis of spectrum for the linear operator.

In cite{S 2017}, Suh gave a non-existence theorem for Hopf real hypersurfaces in the complex quadric with parallel normal Jacobi operator. Motivated by this result, in this paper, we introduce some generalized conditions named $mathcal C$-parallel or Reeb parallel normal Jacobi operators. By using such weaker parallelisms of normal Jacobi operator, first we can assert a non-existence theorem of Hopf real hypersurfaces with $mathcal C$-parallel normal Jacobi operator in the complex quadric $Q^{m}$, $m geq 3$. Next, we prove that a Hopf real hypersurface has Reeb parallel normal Jacobi operator if and only if it has an $mathfrak A$-isotropic singular normal vector field.

In this paper, we derive a formula for the sums of powers of the first $n$ positive integers that involves the hyperharmonic numbers and the Stirling numbers of the second kind. Then, using an explicit representation for the hyperharmonic numbers, we generalize this formula to the sums of powers of an arbitrary arithmetic progression. Moreover, as a by-product, we express the Bernoulli polynomials in terms of the hyperharmonic polynomials and the Stirling numbers of the second kind.

We show that every 4-uniform hypergraph with $n$ vertices and minimum pair degree at least $(5/9+o(1))n^2/2$ contains a tight Hamiltonian cycle. This degree condition is asymptotically optimal.

A graph $G=(V,E)$ is $delta$-hyperbolic if for any four vertices $u,v,w,x$, the two larger of the three distance sums $d(u,v)+d(w,x)$, $d(u,w)+d(v,x)$, and $d(u,x)+d(v,w)$ differ by at most $2delta geq 0$. Recent work shows that many real-world graphs have small hyperbolicity $delta$. This paper describes the eccentricity terrain of a $delta$-hyperbolic graph. The eccentricity function $e_G(v)=max{d(v,u) : u in V}$ partitions the vertex set of $G$ into eccentricity layers $C_{k}(G) = {v in V : e(v)=rad(G)+k}$, $k in mathbb{N}$, where $rad(G)=min{e_G(v): vin V}$ is the radius of $G$. The paper studies the eccentricity layers of vertices along shortest paths, identifying such terrain features as hills, plains, valleys, terraces, and plateaus. It introduces the notion of $eta$-pseudoconvexity, which implies Gromov's $epsilon$-quasiconvexity, and illustrates the abundance of pseudoconvex sets in $delta$-hyperbolic graphs. In particular, it shows that all sets $C_{leq k}(G)={vin V : e_G(v) leq rad(G) + k}$, $kin mathbb{N}$, are $(2delta-1)$-pseudoconvex. Additionally, several bounds on the eccentricity of a vertex are obtained which yield a few approaches to efficiently approximating all eccentricities. An $O(delta |E|)$ time eccentricity approximation $hat{e}(v)$, for all $vin V$, is presented that uses distances to two mutually distant vertices and satisfies $e_G(v)-2delta leq hat{e}(v) leq {e_G}(v)$. It also shows existence of two eccentricity approximating spanning trees $T$, one constructible in $O(delta |E|)$ time and the other in $O(|E|)$ time, which satisfy ${e}_G(v) leq e_T(v) leq {e}_G(v)+4delta+1$ and ${e}_G(v) leq e_T(v) leq {e}_G(v)+6delta$, respectively. Thus, the eccentricity terrain of a tree gives a good approximation (up-to an additive error $O(delta))$ of the eccentricity terrain of a $delta$-hyperbolic graph.

We study the specification and verification of hyperproperties for probabilistic systems represented as Markov decision processes (MDPs). Hyperproperties are system properties that describe the correctness of a system as a relation between multiple executions. Hyperproperties generalize trace properties and include information-flow security requirements, like noninterference, as well as requirements like symmetry, partial observation, robustness, and fault tolerance. We introduce the temporal logic PHL, which extends classic probabilistic logics with quantification over schedulers and traces. PHL can express a wide range of hyperproperties for probabilistic systems, including both classical applications, such as differential privacy, and novel applications in areas such as robotics and planning. While the model checking problem for PHL is in general undecidable, we provide methods both for proving and for refuting a class of probabilistic hyperproperties for MDPs.

An aqueous dispersion includes particles at least partially encapsulated in a microgel where the microgel is prepared from a hyperbranched acrylic polymer. In addition, a method for making an aqueous dispersion includes: (1) mixing in an aqueous medium: (a) particles, (b) at least one ethylenically unsaturated monomer, and (c) a water-dispersible hyperbranched acrylic polymer having ethylenic unsaturation; and (2) polymerizing the at least one ethylenically unsaturated monomer and water-dispersible hyperbranched acrylic polymer having ethylenic unsaturation to at least partially encapsulate the particles in a microgel.

A glycerol derivative which is effective to reduce blood pressure and has the formula: ##STR1## wherein R1 is an alkyl group having 10-22 carbon atoms, R2 is a lower acyl group or benzoyl, each of R3 and R4 independently is hydrogen or a straight or branched chain alkyl group having 1-6 carbon atoms; each of R5, R6 and R7 independently is hydrogen, a straight or branched chain alkyl group having 1-6 carbon atoms, an aryl group or an aralkyl group; and each of m and n independently is 0 or a positive integer under the condition of m+n=2-8.

A facile synthesis of amphiphilic hyperbranched polymers consisting of poly(amic acid) and polyimide was developed via “A2+B3” approach from difunctional anhydride and trifunctional hydrophilic poly(oxyalkylene)triamine. Various amphiphilic hyperbranched poly(amic acid)s (HBPAAs) with terminal amine functionalities and amic acid structures were prepared through ring-opening polyaddition at room temperature, followed by thermal imidization process for the formation of hyperbranched polyimides (HBPIs), accordingly. The resulting HBPIs were analyzed by GPC, indicating the molecule weights of 5000˜7000 g/mol with a distribution of polydispersity between 2.0 and 3.8. The amine titration for HBPIs indicated the peripheral total-amine contents to be 8.32˜18.32 mequiv/g dependent on compositions.

A hypervisor and one or more guest operating systems resident in a data processing system and hosted by the hypervisor are configured to selectively enable or disable branch prediction logic through separate hypervisor-mode and guest-mode instructions. By doing so, different branch prediction strategies may be employed for different operating systems and user applications hosted thereby to provide finer grained optimization of the branch prediction logic for different operating scenarios.

Devices, systems and methods are described which control blood pressure and nervous system activity by stimulating baroreceptors. By selectively and controllably activating baroreceptors and/or nerves, the present invention reduces blood pressure and alters the sympathetic nervous system; thereby minimizing deleterious effects on the heart, vasculature and other organs and tissues. A baroreceptor activation device or other sensory activation device is positioned near a dermal bone to provide the treatment.

The present invention relates to the use of selective adenosine A1 agonists, in particular the dicyanopyridines of formula (I), for the treatment and/or prophylaxis of glaucoma and ocular hypertension as well as the their use for the production of a medicament for the treatment and/or prophylaxis of glaucoma and ocular hypertension.

A system for treating heart disease, such as pulmonary hypertension or right heart failure, including an implantable component and external components for monitoring the implantable component is provided. The implantable component may include a compliant member, e.g., balloon, coupled to a reservoir via a conduit. Preferably, the compliant member is adapted to be implanted in a pulmonary artery and the reservoir is adapted to be implanted subcutaneously. The external components may include a clinical controller component, monitoring software configured to run a clinician's computer, a patient monitoring device, and a mobile application configured to run on a patient's mobile device.

Implementing a layered hyperbolic metamaterial in a vertical cavity surface emitting laser (VCSEL) to improve thermal conductivity and thermal dissipation thereby stabilizing optical performance. Improvement in the thermal management and power is expected by replacing the distributed Bragg reflector (DBR) mirrors in the VCSEL. The layered metamaterial structure performs the dual function of the DBR and the heat spreader at the same time.

A hypodermic needle featuring a multi-beveled point geometry is disclosed. In one embodiment, the multi-beveled point features a primary bevel, a pair of tip bevels, and a pair of middle bevels each intermediate the primary bevel and a respective one of the tip bevels. The primary and middle bevels are provided at angles of inclination, measured between the central axis and a reference plane that are substantially identical. The tip bevels are formed at an angle of inclination respective to the central axis which is not equal to the angle of inclination at which the primary and middle bevels are formed. The resulting five-beveled point geometry contributes to a more continuous bevel face free of abrupt intercepts or transitions between the respective bevel faces, lessening the penetration force required to urge the needle point through skin, flesh, or other material.

A group of tertiary amine azides are useful as hypergolic fuels for hypergolic bipropellant mixtures. The fuels provide higher density impulses than monomethyl hydrazine (MMH) but are less toxic and have lower vapor pressures that MMH. In addition, the fuels have shorter ignition delay times than dimethylaminoethylazide (DMAZ) and other potential reduced toxicity replacements for MMH.

Provided is a fuel of catalytic metal-containing ionic liquid (MCIL) and an IL, to spur hypergolic ignition of such liquids upon contact with an oxidizer to define a hypergolic bipropellant.

Reduced toxicity fuels containing hydrocarbons having both strained rings and internal, conjugated triple bonds are disclosed. The fuels described herein are hypergolic with nitrogen tetroxide and/or inhibited red fuming nitric acid.

A spray head for directing water into a spray pattern that includes a casing configured to receive a supply of water and a plurality of nozzles disposed on the casing with each nozzle being configured to emit water in a stream away from the casing. The plurality of streams of water from the plurality of nozzles are configured to form a hyperboloidal shaped spray pattern.

Systems and methods for longevity, anti-aging, fatigue management, obesity, weight loss, weight management, delivery of nutraceuticals, and treating hyperglycemia, Alzheimer's disease, sleep disorders, Parkinson's disease, Attention Deficit Disorder and nicotine addiction involve synchronizing and tailoring the administration of nutraceuticals, medications and other substances in accordance with the body's natural circadian rhythms, meal times and other factors. Improved control of blood glucose levels, extended alertness, and weight control, and counteracting of disease symptoms when they are at their worst are possible. An automated, pre-programmable transdermal administration system is used to provide pulsed doses of medications, pharmaceuticals, hormones, neuropeptides, anorexigens, pro-drugs, stimulants, nutraceuticals, phytochemicals, phytonutrients, enzymes, antioxidants, essential oils, fatty acids, minerals, vitamins, amino acids, coenzymes, or other physiological active ingredient or precursor. The system can utilize a pump, pressurized reservoir, a system for removing depleted carrier solution, or other modulated dispensing actuator, in conjunction with porous membranes or micro-fabricated structures.

North Carolina is a relatively purple state, where voting between the two major parties tends to be close. That might suggest a place of common ground and compromise, but it’s quite the opposite. “A couple of years before the rest of the country got nasty, we started to get nasty,” a North Carolina political scientist tells Charles Bethea. Not long ago, a veto-override vote devolved into a screaming match on the floor, to which the police were called. Bethea, a longtime political reporter based in Atlanta, went to Raleigh to examine how hyper-partisanship plays out on a state capitol, where everyone knows each other, and the political calculations seem to revolve more on who did what to whom, and when, than on who wants to do what now.

Redpaper, published: Thu, 23 Apr 2020

In this paper, we outline some IBM® Spectrum Virtualize HyperSwap® SAN implementation and design best practices for optimum resiliency of the SAN Volume Controller cluster.

Last week, the US announced approval to use a drug named remdesivir, made by Gilead, in people sick with COVID-19.

While the Battle of Bendigo isn't quite as exotic sounding as The Rumble in the Jungle, it's still a bout you should care about, writes Alex McClintock.

Viking claps, giant horns and nostalgic tales of the great 'Green Machine' must be ignored by the underdog Canberra Raiders if they are to have any chance of beating the heavily favoured Roosters in Sunday's NRL grand final, writes Richard Hinds.

Distributed By The Digital Soapbox Network, The Hype Magazine “Live Session” Podcast Is Available Via Some Of The Biggest Streaming Platforms In The Digital Space

The PHP development team announces the immediate availability of PHP 7.2.30. This is a security release.All PHP 7.2 users are encouraged to upgrade to this version.For source downloads of PHP 7.2.30 please visit our downloads page, Windows source and binaries can be found on windows.php.net/download/. The list of changes is recorded in the ChangeLog.

Seizures often herald the clinical appearance of gliomas or appear at later stages. Dissecting their precise evolution and cellular pathogenesis in brain malignancies could inform the development of staged therapies for these highly pharmaco-resistant epilepsies. Studies in immunodeficient xenograft models have identified local interneuron loss and excess glial glutamate release as chief contributors to network disinhibition, but how hyperexcitability in the peritumoral microenvironment evolves in an immunocompetent brain is unclear. We generated gliomas in WT mice via in utero deletion of key tumor suppressor genes and serially monitored cortical epileptogenesis during tumor infiltration with in vivo electrophysiology and GCAMP7 calcium imaging, revealing a reproducible progression from hyperexcitability to convulsive seizures. Long before seizures, coincident with loss of inhibitory cells and their protective scaffolding, gain of glial glutamate antiporter xCT expression, and reactive astrocytosis, we detected local Iba1+ microglial inflammation that intensified and later extended far beyond tumor boundaries. Hitherto unrecognized episodes of cortical spreading depolarization that arose frequently from the peritumoral region may provide a mechanism for transient neurological deficits. Early blockade of glial xCT activity inhibited later seizures, and genomic reduction of host brain excitability by deleting MapT suppressed molecular markers of epileptogenesis and seizures. Our studies confirmed xenograft tumor–driven pathobiology and revealed early and late components of tumor-related epileptogenesis in a genetically tractable, immunocompetent mouse model of glioma, allowing the complex dissection of tumor versus host pathogenic seizure mechanisms.

Erowid Exp113866

IBM and Nutanix today announced a multi-year initiative to bring new workloads to hyperconverged deployments.

Cooler Master has just released an updated version of their Hyper 212 Turbo dual-fan single-tower CPU air cooler, which is being called the Hyper 212 ARGB Turbo.

The post Cooler Master Releases the Hyper 212 ARGB Turbo CPU Cooler appeared first on ThinkComputers.org.

The HyperX x Ducky One 2 Mini mechanical gaming keyboard features HyperX red linear mechanical switches built for performance, longevity and an 80 million lifetime click rating per switch.

The post HyperX Teams up with Ducky and Launches HyperX x Ducky One 2 Mini Mechanical Gaming Keyboard appeared first on ThinkComputers.org.

Exaggeration is the official language of the internet. Only the most strident statements have any impact. Oversteer and oversell, all the time

The other day I was talking to a music fan who’d recently gone to see one of Kate Bush’s widely praised live appearances. Naturally I was keen to hear a first-hand account of this era-defining event, so I asked what it was like.

“The first half was great,” she said. “But the second half got a bit boring.”

They don’t want people bugging out.

President Trump made a grave mistake by heavily and repeatedly promoting COVID-19 products for which there was too little evidence.

They don’t want people bugging out.

A seven-game win streak and a first-place standing has brought a lot of attention to UCLA's basketball team. But the Bruins' focus on their game against USC on Saturday.

L.A. artist replaces the Statue of Liberty and Mr. Rushmore with migrant farmworkers, enslaved domestic workers and interned Japanese Americans.

We all love a good David vs. Goliath story — Ford vs. Ferrari (in 1966, or the 2019 movie version), Steve Jobs vs. Microsoft, Harry Potter vs. Voldemort. Not many, however, feature David going up against two separate Goliaths. Meet Jason Castriota.

Chef Jonathan Brooks knows his new restaurant Beholder has a big act to follow. Milktooth put Indianapolis' food scene on the map.

Margrit Schwarz
Sep 1, 1998; 39:1833-1843
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Thi-Thao-Phuong Hoang, Lili Ju, Wei Leng and Zhu Wang
Math. Comp. 89 (2020), 1807-1842.
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Jungang Li, Guozhen Lu and Qiaohua Yang
Trans. Amer. Math. Soc. 373 (2020), 3483-3513.
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Jeffrey Galkowski and Matthieu Léautaud
Trans. Amer. Math. Soc. 373 (2020), 3177-3233.
Abstract, references and article information

Shi-Zhong Du
Proc. Amer. Math. Soc. 148 (2020), 2631-2643.
Abstract, references and article information

Yingxiang Hu and Shicheng Xu
Proc. Amer. Math. Soc. 148 (2020), 2609-2615.
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Alexander J. Rasmussen
Proc. Amer. Math. Soc. 148 (2020), 2345-2357.
Abstract, references and article information

Sarah Tomasello
Jan 1, 2008; 21:19-25
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Pasquale Passarella
Aug 1, 2018; 31:218-224
From Research to Practice

Abdur Rehman
Nov 1, 2011; 24:234-238
Pharmacy and Therapeutics