The $k$-essence modified $f(R)$ gravity model, i.e., $f(R,\phi,X)$ theory is studied. question of violation causality, in the framework G\"{o}del-type universes, investigated this gravitational model. Causal and non-causal solutions are allowed. A critical radius for solution calculated. It shown that causality depends on content matter.

For a zero-dimensional topological space X and totally ordered field F with interval topology, Cc(X, F) denotes the ring consisting of field-valued continuous functions countable range on X. This article aims to study investigate rings quotients Cc(X,F). Qc(X,F) (resp. qc(X,F)), maximal classical) Cc(X,F) as modified analogue Q(X) q(X)), C(X) are characterized. It is proved that Qc(S), subring ...

In the context of modified teleparallel f(T, B) theory gravity, we consider a homogeneous and anisotropic background geometry described by Kantowski–Sachs line element. We derive field equations investigate existence exact solutions. Furthermore, evolution trajectories for is studied deriving stationary points at finite infinite regimes. For $$f(T,B)=T+F\left( B\right) $$ theory, prove that spe...

G-quadruplex-forming oligonucleotides containing modified nucleotide chemistries have demonstrated promising pharmaceutical potential. In this work, we systematically investigate the effects of sugar-modified guanosines on the structure and stability of a (4+0) parallel and a (3+1) hybrid G-quadruplex using over 60 modified sequences containing a single-position substitution of 2'-O-4'-C-methyl...

Given a linear iteration of the form x := F (x), we consider modified versions of the form x := F (x + γd), where d is a fixed direction, and γ is chosen to minimize the norm of the residual ‖x + γd − F (x + γd)‖. We propose ways to choose d so that the convergence rate of the modified iteration is governed by the subdominant eigenvalue of the original. In the special case where F relates to a ...

the microplate method of e nzyme-l i nke d i rnmuno s o r be n t a s s ay (elisa) , usi ng alkaline phosphatase anti-human i gg conj ugate , was modified and appl ied in t he dete c t i on of the human b lood specimens among the blood samples prep a r ed fr om human and laborat or y anima l s i n t he form of small dr ied b loodst a i ns on f ilt e r paper . the modi f i e d elisa t e chnique w...

We study the analysis of a joint association between a genetic marker with both binary (case-control) and quantitative (continuous) traits, where the quantitative trait values are only available for the cases due to data sharing and outcome-dependent sampling. Data sharing becomes common in genetic association studies, and the outcome-dependent sampling is the consequence of data sharing, under...

BACKGROUND AND PURPOSE The Capillary Index Score (CIS) is a simple angiography-based scale for assessing viable tissue in the ischemic territory. We retrospectively applied it to Interventional Management of Stroke (IMS) trials I and II to evaluate the predictive value for good outcomes. METHODS CIS was calculated from pretreatment diagnostic cerebral angiograms blinded to outcome. IMS I and ...

Consider now an approach based on a generalization [F2] of Neukirch’s approach [N]. Below is a modified system of axioms of class formations (when applied to topological K -groups) which imposes weaker restrictions than the classical axioms (cf. section 11). (A1). There is a Ẑ-extension of F . In the case of higher local fields let F pur/F be the extension which corresponds to K sep 0 /K0: F pu...

and Applied Analysis 3 Lemma 6. For the construction of a method with nullification of phase lag, amplification error, and their derivatives, onemust satisfy the conditions R(z) = 2 cos(z), Q(z) = 1, R(z) = −2 sin(z), Q(z) = 0. 4. Derivation of the New Modified RKN Method The new method that we are going to develop in this section, is a four-stage explicit Runge-Kutta-Nyström method with the FS...