This article presents a new compact multiplexer structure and its design approach, based on novel resonant manifold. Different from typical transmission-line-based manifold multiplexers, the proposed junction is formed of coupled resonators, so that also contributes to filtering poles selectivity in passbands. The all-resonator configuration achieves more footprint than conventional multiport n...

Similarity solutions play an important role in many fields of science: we consider here similarity in stochastic dynamics. Important issues are not only the existence of stochastic similarity, but also whether a similarity solution is dynamically attractive, and if it is, to what particular solution does the system evolve. By recasting a class of stochastic PDEs in a form to which stochastic ce...

This paper studies the statistical query (SQ) complexity of estimating $d$-dimensional submanifolds in $\mathbb{R}^n$. We propose a purely geometric algorithm called Manifold Propagation, that reduces problem to three natural routines: projection, tangent space estimation, and point detection. then provide constructions these routines SQ framework. Given an adversarial $\mathrm{STAT}(\tau)$ ora...

agricultural training centres (atcs) promote crop and livestock development by providing extension information to farmers and serving as models of improved crop and livestock husbandry practices. although potato farmers in nyandarua county were trained on potato production technologies, their average yield was ≤16 tonnes per hectare compared to the national potential of 30 tonnes. this study th...

This paper is concerned with the existence of multiple positive‎ ‎solutions for a quasilinear elliptic system involving concave-convex‎ ‎nonlinearities‎ ‎and sign-changing weight functions‎. ‎With the help of the Nehari manifold and Palais-Smale condition‎, ‎we prove that the system has at least two nontrivial positive‎ ‎solutions‎, ‎when the pair of parameters $(lambda,mu)$ belongs to a c...

This study concerns the existence and multiplicity of positive weak solutions for a class of semilinear elliptic systems with nonlinear boundary conditions. Our results is depending on the local minimization method on the Nehari manifold and some variational techniques. Also, by using Mountain Pass Lemma, we establish the existence of at least one solution with positive energy.

The object of this paper is to study $(epsilon)$-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of $(epsilon)$-Lorentzian para-Sasakian manifold are investigated. Further, we study globally $phi$-Ricci symmetric and weakly $phi$-Ricci symmetric $(epsilon)$-Lorentzian para-Sasakian manifolds and obtain interesting results.

Today, medical infrastructures are subject to organisational change the world over. The reasons for this are manifold. On the one hand, it can be observed through scientific innovation and gaining of knowledge that a more in-depth specialisation is taking place, which means that medical healthcare providers are able to offer in-depth knowledge in narrowing fields. On the other hand, through inc...

in this work, different types of chaotic 1-manifolds which lie on the chaotic spheres or on a torus are introduced. some types of retractions of the chaotic spheres affect on the 1-chaotic systems, and other types of retractions occur to the geometric manifold but make the 1-chaotic manifold invariant. the existed retractions are discussed through new proved theorems. also we construct diffe...