Residual Probability Function for Dependent Lifetimes

In this paper, the residual probability function is applied to analyze the survival probability of two used components relative to each other in the case when their lifetimes are dependent. The expression of the function by copulas has been derived along with some examples of particular copulas. The behaviour of the residual probability function in terms of the underlying dependence is also discussed. The residual probability order is also considered in the dependent case. In the class of Archimedean survival copulas, we prove that the residual probability order implies the usual stochastic order in the reversed direction, and the hazard rate order concludes the residual probability order.

Modalities of case assignment: The view from Lithuanian

This paper assesses two competing modalities for the assignment of morphological case. Arguments are provided from Lithuanian against the configurational strategy of Dependent Case (Marantz 1991, Baker 2015) and in favor of case assignment by functional heads (Chomsky 2000, 2001). The first argument comes from a series of Transitive Impersonal constructions in which accusative appears independently, in the absence of a higher, nominative-marked argument, so long as the predicate is two-place and caused, implicating v-Cause as the source of accusative. Further evidence for this analysis comes from the Inferential Evidential, an oblique-subject construction. While the Dependent Case strategy states that nominative automatically shifts to the object if not assigned to the subject, nominative objects are exceedingly rare in the Inferential Evidential, a fact that is entirely consistent with the local, feature-based theory of case advanced in this paper, which relates the appearance of nominative to the Agree relation with Tense.

PSIs with Head-Like Properties

This chapter discusses two main issues that arise from PSIs (polarity-sensitive items) with head-like properties. These PSIs seem to be outside the (immediate) domain of their licensor. The first issue is how these PSIs are licensed in syntax and how a unified analysis can handle their distribution. The author argues that these PSIs are adverbial phrases that do not project a clausal projection and that negation licenses these PSIs either in Spec-NegP or under c-command. This unified analysis does not appeal to the problematic head–complement relation as a putative licensing configuration. Another issue that arises from these NPIs (negative polarity items) with head-like properties is their ability to host clitics with accusative and genitive case marking. This issue raises interesting questions pertaining to case theory and dependent case licensing. The author argues that negation licenses the puzzling accusative case of the pronominal complement, a conclusion with far-reaching implications to dependent case licensing in natural language.

CYSTIC ENDOMETRIAL HYPERPLASIA PADA KUCING DOMESTIK

Cats have their own charms because of the shape of the body, eyes and the color of the fur are diverse with advantages. One of the diseases that can occur in the reproductive tract of cats is cystic endometrial hyperplasia-pyometra complex (CEH-pyometra complex). The purpose of writing the report of the results of the dependent case is to know the premedication and anesthesia used in ovariohysterectomy surgery and can perform the operation. Ovariohysterectomy surgery method resulting from the presence of lumps in the uterus.

A Report of Two Cases: Unlearning Lactic Acidosis

Introduction: The term “lactic acidosis” reinforces the misconception that lactate contributes to acidemia. Although it is common to discover an anion gap acidosis with a concomitant elevated lactate concentration, the two are not mutually dependent. Case Report: Here we describe two patients exhibiting high lactate concentrations in the setting of metabolic alkalemia. Conclusion: Lactate is not necessarily the direct cause of acid-base disturbances, and there is no fixed relationship between lactate and the anion gap or between lactate and pH. The term “metabolic acidosis with hyperlactatemia” is more specific than “lactic acidosis” and thus more appropriate.

From lexical to dependent

In this paper, we discuss the diachronic change in the internal structure of direct and indirect objects in Greek. We do so by comparing the properties of dative and genitive objects in Classical vs. (Standard and Northern) Modern Greek. We argue that there are two distinct modes of dative and genitive objective case assignment: they are either prepositional or dependent (structural) cases, as proposed by Baker & Vinokurova (2010), and Baker (2015). In other words, the change from Classical to Standard Modern Greek must be analyzed as a development from a grammatical system where dative and genitive were lexical/inherent cases, PPs, to a system where genitive is a DP that receives dependent case in the sense of Marantz (1991). By reviewing the diachronic paths of morphological dative, prepositions and prefixes, we propose that the morphological loss of dative from the history of Greek is only indirectly relevant to the diachrony of argumental datives, while change in the case-assigning properties of prepositions played a central role.

Functional limit theorems for power series with rapid decay of moving averages of Hermite processes

We aim to obtain a homogenization theorem for a passive tracer interacting with a fractional, possibly non-Gaussian, noise. To do so, we analyze limit theorems for normalized functionals of Hermite–Volterra processes and extend existing results to cover power series with fast decaying coefficients. We obtain either convergence to a Wiener process, in the short-range dependent case, or to a Hermite process, in the long-range dependent case. Furthermore, we prove convergence in the multivariate case with both, short- and long-range dependent components. Applying this theorem, we obtain a homogenization result for a slow/fast system driven by such Hermite noises.

What determines the varying relation of case and agreement? Evidence from the Ugric languages

Agreement and case assignment can be interdependent, partially independent, or independent of each other (Baker & Vinokurova 2010; Baker 2014, 2015). These parametric options appear to have random distribution across languages. This paper claims on the basis of the comparison of the Ugric languages (Mansi, Khanty, and Hungarian) that the correlation of case and agreement or the lack of it may not be random. A strict correlation of case and agreement is attested in sentence structures displaying a fusion of grammatical functions and discourse roles. When these roles are encoded in distinct clausal domains, case and agreement have separate functions and licensing conditions, with case marking grammatical functions, and agreement associated with discourse roles. At the same time, relics of their former syntactic interdependence may survive in morphology, resulting in a partial correlation between case and agreement. It is shown that dependent case theory can account for the whole range of variation attested in the relation of case and agreement.

Eigenvalues of stochastic Hamiltonian systems with boundary conditions and its application

<p style='text-indent:20px;'>In this paper we solve the eigenvalue problem of stochastic Hamiltonian system with boundary conditions. Firstly, we extend the results in Peng [<xref ref-type="bibr" rid="b12">12</xref>] from time-invariant case to time-dependent case, proving the existence of a series of eigenvalues <inline-formula><tex-math id="M1">\begin{document}$ \{\lambda_m\} $\end{document}</tex-math></inline-formula> and construct corresponding eigenfunctions. Moreover, the order of growth for these <inline-formula><tex-math id="M2">\begin{document}$ \{\lambda_m\} $\end{document}</tex-math></inline-formula> are obtained: <inline-formula><tex-math id="M3">\begin{document}$ \lambda_m\sim m^2 $\end{document}</tex-math></inline-formula>, as <inline-formula><tex-math id="M4">\begin{document}$ m\rightarrow +\infty $\end{document}</tex-math></inline-formula>. As applications, we give an explicit estimation formula about the statistic period of solutions of Forward-Backward SDEs. Besides, by a meticulous example we show the subtle situation in time-dependent case that some eigenvalues appear when the solution of the associated Riccati equation does not blow-up, which does not happen in time-invariant case.</p>

Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis

<abstract><p>We study the existence of global unique classical solution to a density-dependent prey-predator population system with indirect prey-taxis effect. With two Lyapunov functions appropriately constructed, we then show that the solution can asymptotically approach prey-only state or coexistence state of the system under suitable conditions. Moreover, linearized analysis on the system at these two constant steady states shows their linear instability criterion. By numerical simulation we find that some density-dependent prey-taxis and predators' diffusion may either flatten the spatial one-dimensional patterns which exist in non-density-dependent case, or break the spatial two-dimensional distribution similarity which occurs in non-density-dependent case between predators and chemoattractants (released by prey).</p></abstract>