Cardiac alternans describes contraction of the ventricles in a strong-weak-strong-weak sequence at a constant pacing frequency. Clinically, alternans manifests as alternation of the T-wave on the ECG and predisposes individuals to arrhythmia and sudden cardiac death. In this review, we focus on the fundamental dynamical mechanisms of alternans and show how alternans at the cellular level underl...

We study a cyclic proof system C over regular expression types, inspired by linear logic and non-wellfounded theory. Proofs in can be seen as strongly typed goto programs. show that they denote computable total functions we analyse the relative strength of Gödel’s T. In general case, prove two systems capture same on natural numbers. affine i.e., when contraction is removed, precisely primitive...

In this manuscript, common fixed point results for set-valued mapping under generalized ψ , ϕ 1 and id="M2"> 2 weak contraction without using Hausdorff metric are studied endowing with a graph. To demo...

Non-statistical weak measurements yield weak values that are outside the range of eigenvalues and are not rare, suggesting that weak values are a property of every preand-post-selected ensemble. They also extend the applicability and valid regime of weak values.

<p style='text-indent:20px;'>In this paper, we study a class of hyperbolic equations the fourth order with strong damping and logarithmic source terms. Firstly, prove local existence weak solution by using contraction mapping principle. Secondly, in potential well framework, global solutions energy decay estimate are obtained. Finally, give blow up result at finite time under subcritical ...

To compare electrical field stimulation (EFS) with nicotine in the stimulation of excitatory and inhibitory enteric motoneurons (EMN) in the human esophagus, circular lower esophageal sphincter (LES), and circular and longitudinal esophageal body (EB) strips from 20 humans were studied in organ baths. Responses to EFS or nicotine (100 microM) were compared in basal conditions, after N(G)-nitro-...

Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).

We consider a mathematical problem for quasistatic contact between thermo-electro--elastic-viscoplastic body and an obstacle. The is modeled by general normal damped response condition with friction law heat exchange. present variational formulation of the prove existence uniqueness weak solution. proof based on four intermediate problems displacement field, electric potential field temperature...

The linear discrepancy of a poset P is the least k such that there is a linear extension L of P such that if x and y are incomparable, then |hL(x)− hL(y)| ≤ k. Whereas the weak discrepancy is the least k such that there is a weak extension W of P such that if x and y are incomparable, then |hW (x)− hW (y)| ≤ k. This paper resolves a question of Tanenbaum, Trenk, and Fishburn on characterizing w...

Agents need to be able to change their beliefs; in particular, they should be able to contract or remove a certain belief in order to restore consistency to their set of beliefs, and revise their beliefs by incorporating a new belief which may be inconsistent with their previous beliefs. An influential theory of belief change proposed by Alchourron, Gärdenfors and Makinson (AGM) [1] describes p...