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“Large” pieces are very small!! Driftwood was advertised as 2 “Large” pieces. I did receive 2 pieces, but I would in no way call them large. Each piece was about hand sized. Very disappointing. They might be useful in a tiny tank (5 gallons or less).. I will say that they were packed for shipping very well. Wrapped in...
We introduce the Visual Data Management System (VDMS), which enables faster access to big-visual-data and adds support to visual analytics. This is achieved by searching for relevant visual data via metadata stored as a graph, and enabling faster access to visual data through new machine-friendly storage formats. VDM...
For (2+2)-dimensional nonholonomic distributions, the physical information contained into a spacetime (pseudo) Riemannian metric can be encoded equivalently into new types of geometric structures and linear connections constructed as nonholonomic deformations of the Levi-Civita connection. Such deformations and induc...
We give a self-contained proof of the strongest version of Mason's conjecture, namely that for any matroid the sequence of the number of independent sets of given sizes is ultra log-concave. To do this, we introduce a class of polynomials, called completely log-concave polynomials, whose bivariate restrictions have u...
This paper studies hybrid beamforming (HB)-based non-orthogonal multiple access (NOMA) in multiuser millimeter wave (mmWave) communications. HB offers power-efficient and low-complexity precoding for downlink multiuser mmWave systems which increases multiplexing gain and spectral efficiency of the system. Applying NO...
Trump called the previous bill "mean" but he now supports a bill that is equally mean. The Republicans had 7 years to create a "better" replacement for Obamacare and the best they can do after all that time is a weird hack and prune job on Obamacare rather than the "better cheaper health insurance" bill Donald Trump pr...
This text presents a cognitive-psychology analysis of spontaneous, co-speech gestures in a face-to-face architectural design meeting (A1 in DTRS7). The long-term objective is to formulate specifications for remote collaborative-design systems, especially for supporting the use of different semiotic modalities (multi-...
We present a single-dish mapping algorithm with a number of advantages over traditional techniques. (1) Our algorithm makes use of weighted modeling, instead of weighted averaging, to interpolate between signal measurements. This smooths the data, but without blurring the data beyond instrumental resolution. Techniqu...
Bill: I find motivation extremely important. My favorite example comes from Own Wister's "The Virginian" when the Virginian wins a poker hand from the antagonist and the guy calles him a "Son of a B$#%%" (think of what Trump called the players). The Virginian responds "Smile when you sad that." The point is simple:...
How can we edit or transform the geometric or color property of a point cloud? In this study, we propose a neural style transfer method for point clouds which allows us to transfer the style of geometry or color from one point cloud either independently or simultaneously to another. This transfer is achieved by manip...
The hot Jupiter HD 189733b was observed during its primary transit using the Infrared Array Camera on the Spitzer Space Telescope. The transit depths were measured simultaneously at 3.6 and 5.8 microns. Our analysis yields values of 2.356 +- 0.019 % and 2.436 +- 0.020$ % at 3.6 and 5.8 microns respectively, for a uni...
We survey results on the description of stochastically evolving genealogies of populations and marked genealogies of multitype populations or spatial populations via tree-valued Markov processes on (marked) ultrametric measure spaces. In particular we explain the choice of state spaces and their topologies, describe ...
This paper studies a nonlinear fractional implicit differential equation (FIDE) with boundary conditions involving a HilferHadamard type fractional derivative. We establish the equivalence between the Cauchy-type problem (FIDE) and its mixed type integral equation through a variety of tools of some properties of frac...
We study the effect of clustering on the organization of cooperation, by analyzing the evolutionary dynamics of the Prisoner's Dilemma on scale-free networks with a tunable value of clustering. We find that a high value of the clustering coefficient produces an overall enhancement of cooperation in the network, even ...
When I found out there was a movie that had both my favorite actresses Meryl Streep and Wynona Ryder, I went through the roof!But I had a hard fall after watching this lame movie and I still have the bruise.First of all the character that Jeremy Irons (an actor I still admire even after this disappointment)plays was ju...
Pulsars are precision celestial clocks. When being put in a binary, the ticking conveys the secret of underlying spacetime geometrodynamics. We use pulsars to test if the gravitational interaction possesses a tiny deviation from Einstein's General Relativity (GR). In the framework of Standard-Model Extension (SME), w...
We prove a Fredholm criterion for operators in the Banach algebra of singular integral operators with matrix piecewise continuous coefficients acting on a variable Lebesgue space with a radial oscillating weight over a logarithmic Carleson curve. The local spectra of these operators are massive and have a shape of sp...
Kishimoto's tenure at GUSD in Arizona was also pretty rocky. She angered employees, board members, community members and parents. That's why her contract there was also not renewed. My major problem with her appointment however, is that she has never taught in a K12 school classroom. I believe that's a major gap in the...
Weak. Charging indicators are ultra confusing. Nice looking razor that comes with useless instructions.I can't tell if this thing is charged or not. When I got it and plugged it in, the plug symbol was red and there was a blue flashing battery. Flashing on other devices that I have means charging as does red. Usually ...
Complex oxides with tunable structures have many fascinating properties, though high-quality complex oxide epitaxy with precisely controlled composition is still out of reach. Here we have successfully developed solution-based single crystalline epitaxy for multiferroic (1-x)BiTi(1-y)/2FeyMg(1-y)/2O3-(x)CaTiO3 (BTFM-...
In this paper we derive the probability of the radial profiles of spherically symmetric inhomogeneities in order to provide an improved estimation of the number density of primordial black holes (PBHs). We demonstrate that the probability of PBH formation depends sensitively on the radial profile of the initial confi...
Tracking sexual violence is a challenging task. In this paper, we present a supervised learning-based automated sexual violence report tracking model that is more scalable, and reliable than its crowdsource based counterparts. We define the sexual violence report tracking problem by considering victim, perpetrator co...
We analyze the performance of a quantum repeater protocol based on single trapped ions. At each node, single trapped ions embedded into high finesse cavities emit single photons whose polarization is entangled with the ion state. A specific detection of two photons at a central station located half-way between two no...
Zombi 3 has an interesting history in it's making. Firstly, it is a sequel to Fulci's hit Zombi 2, with Zombi 2 itself being of course a marketing ploy to trick people into thinking it was a sequel to George A. Romero's Dawn of the Dead aka Zombi. Confusing enough? Basically, none of the films have anything to do with ...
Riding Giants is an incredible documentary detailing the history and stories of three influential big-wave surfers, Gregg Noll, Jeff Clark, and Laird Hamilton. Stacy Peralta did an amazing job taking on the role of director and should be congratulated for doing such a brilliant job. The structure of the film is edited ...
Spraying is a widely used method to produce a liquid sheet that break up into droplets of a certain size distribution. When spraying simple liquids, it is known which experimental parameters determine the droplet size distribution. For many applications however, surfactants are added, producing a hitherto unknown eff...
Electronic medical record (EMR) is a crucial form of healthcare data, currently drawing a lot of attention. Sharing health data is considered to be a critical approach to improve the quality of healthcare service and reduce medical costs. However, EMRs are fragmented across decentralized hospitals, which hinders data...
When this cartoon first aired I was under the impression that it would be at least half way descent, boy was I wrong. I must admit watching this cartoon is almost as painful as watching Batman and Robin with George Clooney all those years ago. I watched a few episodes and two of them had Batman literally get his ass ki...
Sometimes we need to be reminded that by strict legal definition, probably about 12% of the male population and 5% of the female population have done or otherwise committed some illegal sexual act or situation with at least 1 under aged person. Prosecution to the full extent of the law of this mass of population is si...
Bilevel optimization has been recently revisited for designing and analyzing algorithms in hyperparameter tuning and meta learning tasks. However, due to its nested structure, evaluating exact gradients for high-dimensional problems is computationally challenging. One heuristic to circumvent this difficulty is to use...
The V-Ti alloys are promising materials as alternate to the commercial Nb-based superconductors for high current-high magnetic field applications. However, the critical current density (J_c) of these alloys are somewhat low due to their low grain-boundary density. We show here that grain refinement of the V-Ti alloys...
I threw it in the trash I had heard that ACV can help in reducing blood sugar so I thought I would give it a shot. For two days I would take it in the morning and drink a whole 15 oz water bottle to make sure it was diluted. At the end of the first day I started experiencing nausea, stomach cramps, and diarrhea. The s...
The discovery of the youngest Galactic supernova remnant (SNR) G1.9+0.3 has allowed a look at a stage of SNR evolution never before observed. We analyze the 50 ks Chandra observation with particular regard to spectral variations. The very high column density ($N_H \sim 6 \times 10^{22}$ cm$^{-2}$) implies that dust s...
We consider a thin accretion disc warped due to the Bardeen-Petterson effect, presenting both analytical and numerical solutions for the situation that the two viscosity coefficients vary with radius as power law, with the two power law indices not necessarily equal. The analytical solutions are compared with numeric...
In this talk I present a simple and unified approach to both exact and quasi-exact solvabilities of the one-dimensional Schr\"odinger equation. It is based on the prepotential together with Bethe ansatz equations. This approach gives the potential as well as the eigenfunctions and eigenvalues simultaneously. In this ...
We study central limit theorems for the projected sample mean of independent and identically distributed observations on subsets $\mathcal Q \subset \mathbb R^2$ of the Euclidean plane. It is well-known that two conditions suffice to obtain a parametric rate of convergence for the projected sample mean: $\mathcal Q...
We investigate a matter dominated navigation cosmological model. The influence of a possible drift (wind) in the navigation cosmological model makes the spacetime geometry change from Riemannian to Finslerian. The evolution of the Finslerian Universe is governed by the same gravitational field equation with the famil...
We present a spectroscopic library of late spectral type stellar templates in the near-IR range 2.15-2.42microns, at R=5300-5900 resolution, oriented to support stellar kinematics studies in external galaxies, such as the direct determination of the masses of supermassive black-holes in nearby active (or non-active) ...
The hypothesis on a minimal scale existence in the Universe leads to noncommutative geometry of Spacetime and thence to a modification of the Special Relativity constraint. Sidharth has deduced that this is equivalent to the Lorentz symmetry violation. This latter consideration was also used by Glashow, Coleman and o...
We define the interpolative fusion $T^*_\cup$ of a family $(T_i)_{i \in I}$ of first-order theories over a common reduct $T_\cap$, a notion that generalizes many examples of random or generic structures in the model-theoretic literature. When each $T_i$ is model-complete, $T^*_\cup$ coincides with the model companion...
An analytical theory is developed for parametric interactions in metamaterial multilayer structures with simultaneous nonlinear electronic and magnetic responses and with near-zero refractive-index. We demonstrate theoretically that electromagnetic fields of certain frequencies can be parametrically shielded by a non...
Measurements of transport properties of amorphous insulating indium oxide thin films have been interpreted as evidence of the presence of superconducting islands on the insulating side of a disorder-tuned superconductor-insulator transition. Although the films are not granular, the behavior is similar to that observe...
Iterated dynamical maps offer an ideal setting to investigate quantum dynamical bifurcations and are well adapted to few-qubit quantum computer realisations. We show that a single trapped ion, subject to periodic impulsive forces, exhibits a rich structure of dynamical bifurcations derived from the Jahn-Teller Hamilt...
When will the hurting stop? I never want to see another version of a Christmas Carol again. They keep on making movies with the same story, falling over each other in trying to make the movie better then the rest, but sadly fail to do so, as this is not a good story. Moralistic, old-fashioned, conservative happy-thinki...
In this series of lectures it is illustrated how one can study the strong dynamics of nuclei by means of the electroweak probe. In particular, the most important steps to derive the cross sections in first order perturbation theory are reviewed. In the derivation the focus is put on the main ingredients entering the ...
We report the results of magnetization, non-linear dc susceptibility, electrical transport, and heat capacity measurements on Y-substituted heavy fermion CeNiGe2. Investigations are carried out on the compounds CeNiGe2, Ce0.9Y0.1NiGe2, Ce0.8Y0.2NiGe2 and Ce0.6Y0.4NiGe2. It is observed that with the increase in Y-conc...
Weak brew Will be returning this one. I couldn't make strong enough coffee, even after filling the basket to the top, compacting the grounds, and using a fine espresso grind. I wasn't looking for coffee you can stand a fork up in, just something that didn't taste watery. Tried for 3 days, using more and more grounds a...
We present a general paradigm for dynamic 3D reconstruction from multiple independent and uncontrolled image sources having arbitrary temporal sampling density and distribution. Our graph-theoretic formulation models the Spatio-temporal relationships among our observations in terms of the joint estimation of their 3D...
Automatic Word problem solving has always posed a great challenge for the NLP community. Usually a word problem is a narrative comprising of a few sentences and a question is asked about a quantity referred in the sentences. Solving word problem involves reasoning across sentences, identification of operations, their...
In [AG2] we explored the question what symmetric pairs are Gelfand pairs. We introduced the notion of regular symmetric pair and conjectured that all symmetric pairs are regular. This conjecture would imply that many symmetric pairs are Gelfand pairs, and in particular that any connected symmetric pair over C is a Ge...
Cherenkov telescopes are also sensitive to the atmospheric fluorescence produced by the extensive air showers. However this contribution is neglected by the reconstruction algorithms of imaging air Cherenkov telescopes IACTs and wide-angle Cherenkov detectors WACDs. In this paper we evaluate the fluorescence contamin...
Aspect category detection is an essential task for sentiment analysis and opinion mining. However, the cost of categorical data labeling, e.g., label the review aspect information for a large number of product domains, can be inevitable but unaffordable. In this study, we propose a novel problem, cross-domain aspect ...
We define a notion of total acyclicity for complexes of flat quasi-coherent sheaves over a semi-separated noetherian scheme, generalising complete flat resolutions over a ring. By studying these complexes as objects of the pure derived category of flat sheaves we extend several results about totally acyclic complexes...
This chapter introduces the concepts of polarimetry in the case of low frequency radio astronomy. In this regime radio waves are usually not the signature of atomic or molecular transitions lines, but rather that of unstable particle distribution functions releasing their free energy through electromagnetic radiation...
Disk accretion may be the fundamental astrophysical process. Stars and planets form through the accretion of gas in a disk. Black holes and galaxies co-evolve through efficient disk accretion onto the central supermassive black hole. Indeed, approximately 20 percent of the ionizing radiation in the universe is suppli...
We present XMM-Newton observations of the O supergiant Zeta Orionis (O9.7 Ib). The spectra are rich in emission lines over a wide range of ionization stages. The RGS-spectra show for the first time lines of low ion stages such as C VI, N VI, N VII, and O VII. The line profiles are symmetric and rather broad (FWHM app...
My question is why isn't Canada trying this individual for treason? Under s46 of the Criminal Code, a person commits "high treason" who a) kills, attempts to kill, wounds, imprisons, or restrains the sovereign, b) wages war against Canada or does any act preparatory thereto, or c) assists an enemy at war with Canada or...
The 212 species of structural phase transitions which break macroscopic symmetry are analyzed with respect to the occurrence of time-reversal invariant vector and bidirector order parameters. The possibility of discerning the orientational domain states of the low-symmetry phase by these `vectorlike' physical propert...
i like this product however if using it on the fly ... i just used this for the first time for 36 holes up in stratton vermont. i like this product however if using it on the fly (which is what i did) i believe you will have difficulty editing your shot history and thus your score.
Since Chen's Entity-Relationship (ER) model, conceptual modeling has been playing a fundamental role in relational data design. In this paper we consider an extended ER (EER) model enriched with cardinality constraints, disjointness assertions, and is-a relations among both entities and relationships. In this setting...
(ABRIDGED) We use hydrodynamical simulations of disk galaxies to study relations between star formation and properties of the molecular interstellar medium (ISM). We implement a model for the ISM that includes low-temperature (T<10^4K) cooling, directly ties the star formation rate to the molecular gas density, and a...
The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp boundsare obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequ...
Thanks for this link; it was a good read! ... Not a surprise, but this line caught my eye: "Respondents were asked how they thought the U.S. should react, and also whether they could identify Ukraine on a map. The farther off base they were about the geography, the more likely they were to favor military intervention...
In this paper, we investigate the problem of finding tight linear lower bounding functions for multivariate polynomials over boxes. These functions are obtained by the expansion of polynomials into Bernstein form and using the linear least squares function. Convergence properties of the given polynomials to their low...
For many applications, a method for controlling the optical properties of a solid-state film over a broad wavelength range is highly desirable and could have significant commercial impact. One such application is smart glazing technology where it is necessary to harvest near-infrared solar radiation in the winter and...
Soft robots offer an alternative approach to manipulate inside the constrained space while maintaining the safe interaction with the external environment. Due to its adaptable compliance characteristic, external contact force can easily deform the robot shapes and lead to undesired robot kinematic and dynamic propert...
The dipion transitions $\Upsilon(2S,3S,4S) \to \Upsilon(1S,2S)\pi\pi$ are systematically studied by considering the mechanisms of the hadronization of soft gluons, exchanging the bottomoniumlike $Z_b$ states, and the bottom-meson loops. The strong pion-pion final-state interaction, especially including the channel co...
A quasar search in the region of the active galaxy NGC 1097 yielded 31 quasars in 1984. After completion of the 2dF survey in 2004 the number of catalogued quasars just within 1 degree of the galaxy increased to 142. About 38 $\pm$ 10 of these are in excess of average background values. The evidence in 1984 is conf...
In this thesis we develop a functional analytic framework for shape optimization with elliptic partial differential equation (PDE) constraints in classical function spaces (H\"older spaces). This approach is motivated by shape optimization problems, which are subjected to linear elasticity constraints and involve a s...
Another non sequitur emanating from the "Adult Day Care", To equate IQ with ability to lead the United States is a totally erroneous conclusion. Another famous showman PT Barnum (of Barnum and Bailey Circus fame) was also very intelligent. In fact he was intelligent enough to keep his circus with it's clowns out o...
We propose here a model for solidification of a liquid contents of an elastic bottle in a freezer. The main goal is to explain the occurrence of high stresses inside the bottle. As a by-product, we derive a formula for the undercooling coefficient in terms of the elasticity constants, latent heat, and the phase expan...
I was watching an NFL game and started surfing during a break and found this on one of the HBO type channels. I missed the beginning but when I started watching Deadly Voyage the clicker was put down and not even thought of until the credits rolled. You will find yourself rooting against the villans and on the edge of ...
Vacuum energy in quantum field theory, being the sum of zero-point energies of all field modes, is formally infinite but yet, after regularization or renormalization, can give rise to finite observable effects. One way of understanding how these effects arise is to compute the vacuum energy in an idealized system suc...
The thermal radiation from an isolated finite-length carbon nanotube (CNT) is theoretically investigated both in near- and far-field zones. The formation of the discrete spectrum in metallic CNTs in the terahertz range is demonstrated due to the reflection of strongly slowed-down surface-plasmon modes from CNT ends. ...
Formal specification languages have long languished, due to the grave scalability problems faced by complete verification methods. Runtime verification promises to use formal specifications to automate part of the more scalable art of testing, but has not been widely applied to real systems, and often falters due to ...
Great Quality, just not my preferred switch This kit is pretty good quality. I didnt like that the switch did not have connection for Dash Illumination. This meant that because I wanted power to the Aux Lights while the car was off that my switch would be illuminated 100% of the time. Other than that issue, the qualit...
An operational concept of locality whose quantum violation is indicated independently of any other assumption(s) seems to be lacking in the quantum foundations literature so far. Bell's theorem only shows that quantum correlations violate the conjunction of the ontological assumptions of localism and determinism. Tak...
Recent theoretical developments in the studies of two-photon exchange effects in elastic electron-proton scattering are reviewed. Two-photon exchange mechanism is considered a likely source of discrepancy between polarized and unpolarized experimental measurements of the proton electric form factor at momentum transf...
The Dune miniseries opens with a "flashforward" montage of action sequences. The realisation quickly dawns that these are the *best* scenes out of the 265 minute running time, and they're not good. Not good at all. Oh dear. <br /><br />But let us not judge a book by its cover (even though that's exactly what we're bein...
We reconsider the construction of general derivative self-interactions for a massive Proca field. The constructed Lagrangian is such that the vector field propagates at most three degrees of freedom, thus avoiding the ghostly nature of a fourth polarisation. The construction makes use of the well-known condition for ...
Using the Gaussian-03 for ab initio calculations, we have studied interaction of different acid molecules with a single water molecule. The molecular and supermolecular optimized structures were found with the Becke-3-Lee-Yang-Parr (B3LYP-hybrid potential) calculations of density-functional theory (DFT) methods as we...
I'm very surprised that so many people don't like this movie. I think it's a lot better than most of the teen films that have come out recently - Ten Things I Hate About You ( can we say teeny bopper film and what was with the principle writing those porno novels ? ), Cruel Intentions ( where a character gives up their...
NASA's Kepler mission discovered $\sim700$ planets in multi-planet systems containing 3 or more transiting bodies, many of which are super-Earths and mini-Neptunes in compact configurations. Using $N$-body simulations, we examine the in situ, final stage assembly of multi-planet systems via the collisional accretion ...
The goal of this paper is to classify parametrically parabolic submanifolds in any codimension. First, we describe the ones that are ruled and show that they are the only parabolic submanifolds that admit an isometric immersion as a hypersurface. Then, we classify the nonruled ones by two different means. In fact, we...
The notion of 2--monoidal category used here was introduced by B.~Vallette in 2007 for applications in the operadic context. The starting point for this article was a remark by Yu. Manin that in the category of quadratic algebras (that is, "quantum linear spaces") one can also define 2--monoidal structure(s) with rat...
The present situation of the teaching-learning relationship in astronomy is rarely investigated in our country. This is so, even when it is widely recognized that astronomy is an integral discipline, at the crossroads of advances in physics, geology, chemistry, etc. In this project we aim at contributing with the sit...
We consider the energy-critical stochastic cubic nonlinear Schr\"odinger equation on $\mathbb R^4$ with additive noise, and with the non-vanishing boundary conditions at spatial infinity. By viewing this equation as a perturbation to the energy-critical cubic nonlinear Schr\"odinger equation on $\mathbb R^4$, we prov...
Did not work at all. I bought two of these and NEITHER of them worked. I have a ball python that has a heat mat under his terrarium that works perfectly. I plugged both in programmed it to my desired temperature and left it in for a 24 hour period. The heat in the terrarium never got about 72 degrees F. This is extrem...
Why are no feminist thought leaders agitating to educate men in Muslim majority countries not to beat their wives? So let's say this man didn't meet the Canadian values test and had to stay in his home country. His wife was still getting a beating -- no matter where they lived. Time to step up and shine a light on the ...
We propose an approach for mapping natural language instructions and raw observations to continuous control of a quadcopter drone. Our model predicts interpretable position-visitation distributions indicating where the agent should go during execution and where it should stop, and uses the predicted distributions to ...
Disentangling content and style information of an image has played an important role in recent success in image translation. In this setting, how to inject given style into an input image containing its own content is an important issue, but existing methods followed relatively simple approaches, leaving room for imp...
We show that for many classes of symmetric two-player games, the simple decision rule "imitate-the-best" can hardly be beaten by any other decision rule. We provide necessary and sufficient conditions for imitation to be unbeatable and show that it can only be beaten by much in games that are of the rock-scissors-pap...
Quick to use once u get the hang of it. So much faster and easier than the mascara process Iv been doing until now and so much healthier for my lashes. Once you get the hang of it it's so much fun I can switch them up for night events as well!
I was reluctant to order something so fragile oversesas, but it arrived way earlier than anticipated before xmas, great shape, I really am a satisfied customer, i just ordered another one for myself, very serene, way cheaper and more options than the tranquil turtle would be awesome if had some ocean sounds,,thank you ...
But as we move forward, some of our favourite albums start to get older and older until we sit down and say 'wow, was it really that long ago that I first listened to that?!" Below are a series of albums which turn 10, 15 and 20 in 2020. (The songs below may contain language some could find offensive) 10 years old.....
They work well once you get them out of package ... They work well once you get them out of package. Just hard to grab the buggers a lot of times without ripping pieces off first. Being that they are flushable, I understand, but urgh it gets a little bit aggravating. Would still probably purchase again for the flushab...
In this work we investigate $n$-widths of multiplier operators $\Lambda_*$ and $\Lambda$, defined for functions on the complex sphere $\Omega_d$ of $\mathbb{C}^d$, associated with sequences of multipliers of the type $\{\lambda_{m,n}^*\}_{m,n\in \mathbb{N}}$, $\lambda_{m,n}^*=\lambda(m+n)$ and $\{\lambda_{m,n}\}_{m,n...
The middle levels conjecture asserts that there is a Hamiltonian cycle in the middle two levels of $2k+1$-dimensional hypercube. The conjecture is known to be true for $k \leq 17$ [I.Shields, B.J.Shields and C.D.Savage, Disc. Math., 309, 5271--5277 (2009)]. In this note, we verify that the conjecture is also true for...
In this paper we present a Doob type maximal inequality for stochastic processes satisfying the conditional increment control condition. If we assume, in addition, that the margins of the process have uniform exponential tail decay, we prove that the supremum of the process decays exponentially in the same manner. Th...
In this paper, based on geometric singular perturbation analysis of a quasi-one dimensional Poisson-Nernst-Planck model for ionic flows, we study the problem of zero current condition for ionic flows through membrane channels with a simple profile of permanent charges. For ionic mixtures of multiple ion species, un...