The properties of solutions to an impulse control problem under uncertainty are examined in the class of feedback controls. For a nonlinear problem, the dynamic programming equation is proved to have a unique viscosity solution. For linear systems, the proof is sketched of the existence of a ...
The interface stacking order of twisted graphene can be actively flipped between locally stable states using a mechanical impulse, and this flipping propagates spontaneously through the network in a domino-like fashion. Shuai Zhang , Qiang Xu & Qunyang Li Article | 17 March 2022 Disentangling ...
For use in the design of finite impulse response (FIR) digital filters via the window function method the first integral of the window is required in order to relate transition width, filter order, and maximum passband and stopband error values. Again this relationship for the generalized family...
A new fractional derivative involving the normalized sinc function without singular kernel In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion ...
(NPJc), which contains the cell bodies of baroreceptor neurons. Shear stress from high blood pressure was transformed into an electronic signal through Piezo1/2 channel activation, which was relayed to the medullary cardiovascular center. Subsequently, the efferent impulse contacted its effector organs...
Because of its electrical insulation of the axons, which allows fast, saltatory nerve impulse conduction, myelin is crucial for the proper functioning of the vertebrate nervous system. A subset of myelin-specific proteins is well-defined, but their influence on membrane dynamics, i.e. myelin ...
A Savitzky-Golay (SG) filter, widely used in signal processing applications, is a finite-impulse-response low-pass filter obtained by a local polynomial regression on noisy observations in the least-squares sense. The problem addressed in this paper is one of optimal order (or filter length) ...
Symbol Cycles Operators Shifting Impulse Patterns Depth Overlaps Statistics Volatility VolumeFunction Beta Beta Pearson Correlation Coefficient Linear Regression Linear Regression Angle Linear Regression Intercept Linear Regression Slope Standard Deviation Time Series Forecast Variance Time Period Execute Function...
We then derive the first order optimality conditions of these hyperparameter estimators and their corresponding Oracle counterparts (relying on the true impulse response, see Section 3.2 for details). These first order optimality conditions are then rewritten in a way to better expose their relations,...
Sleep has a complex micro-architecture, encompassing micro-arousals, sleep spindles and transitions between sleep stages. Fragmented sleep impairs memory consolidation, whereas spindle-rich and delta-rich non-rapid eye movement (NREM) sleep and rapid eye