The aim of the present paper is to investigate of some properties Tooled of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition.We investigate parabolic systems of differential equations using an integral manifolds method of the theory of nonlinear oscillations.We prove the existence of periodic solutions in an
We explore the ways in which animate objects can be used to cue actions as part of coaching in Activities of Daily Living (ADL).In this case, changing the appearance or behavior of a physical object is intended to cue actions which are appropriate for a given Household Essentials context.The context is defined by the intention of the users, the sta
Quantum state designs, by enabling an efficient sampling of random quantum states, play a quintessential role in devising and benchmarking various quantum protocols with broad applications ranging from circuit designs to black hole physics.Symmetries, on the other hand, are expected to reduce the randomness of a state.Despite being ubiquitous, the
This paper introduces a noise augmentation technique designed to enhance the robustness of state-of-the-art (SOTA) deep learning models against degraded image quality, a common challenge in long-term recording systems.Our method, demonstrated through the classification of digital Kits holographic images, utilizes a novel approach to synthesize and
Phenylketonuria (PKU) due to recessively inherited phenylalanine hydroxylase (PAH) deficiency results in hyperphenylalaninemia, which is toxic to the central nervous system.Restriction of dietary phenylalanine intake remains the standard of PKU care and prevents the major neurologic manifestations of the disease, yet shortcomings of dietary therapy