lunar and mars landing is a crucial part of any exploration mission. its importance is manifested by the considerable interest in the past couple of decades. solution of lunar descent can be either numerical or analytical. numerical solutions are iterative and computationally demanding and some of them might not be suitable for on-board implementation. on the other hand, analytical solutions ar...

In the modern digital economy, optimal decision support systems, as well machine learning are becoming an integral part of production processes. Artificial neural network training other engineering problems generate such high dimension that difficult to solve with traditional gradient or conjugate methods. Relaxation subgradient minimization methods (RSMMs) construct a descent direction forms o...

In this paper we consider domino tilings of the Aztec diamond with doubly periodic weightings. particular, a family models which, for any k∈N, includes k smooth regions is analyzed as size tends to infinity. We use nonintersecting paths formulation and give double integral formula correlation kernel finite size. By classical steepest descent analysis kernel, obtain local behavior in rough regio...

We give a new construction of p-adic overconvergent Hilbert modular forms by using Scholze’s perfectoid Shimura varieties at infinite level and the Hodge–Tate period map. The definition is analytic, closely resembling that complex as holomorphic functions satisfying transformation property under congruence subgroups. As special case, we first revisit case elliptic forms, extending recent work C...

This paper studies a receding contact problem of functionally graded layer laminate pressed against coated homogeneous half-plane substrate by rigid flat indenter. The shear modulus the materials with constant Poisson’s ratio is modeled an exponential function which varies along thickness direction. Both governing equations and boundary conditions are converted into pair singular integral using...

In cluster-specific studies, ordinary logistic regression and conditional for binary outcomes provide maximum likelihood estimator (MLE) (CMLE), respectively. this paper, we show that CMLE is approaching to MLE asymptotically when each individual data point replicated infinitely many times. Our theoretical derivation based on the observation a term appearing in average log-likelihood function c...

Feature extraction and classification of EEG signals are core parts of brain computer interfaces (BCIs). Due to the high dimension of the EEG feature vector, an effective feature selection algorithm has become an integral part of research studies. In this paper, we present a new method based on a wrapped Sparse Group Lasso for channel and feature selection of fused EEG signals. The high-dimensi...

This paper considers a longitudinal speed control problem for heavy-duty vehicles equipped with variable compression brake. The use of compression brake reduces the wear of the conventional friction brakes, and it is, thus, a preferred way of controlling the vehicle speed during a steady descent or noncritical braking maneuvers. To perform more aggressive (critical) braking maneuvers or control...

Using first principles, we establish in this paper a connection between the maximum a posteriori (MAP) estimator and the variational formulation of optimizing a given functional subject to some noise constraints. A MAP estimator which uses a Markov or a maximum entropy random field model for a prior distribution can be viewed as a minimizer of a variational problem. Using notions from robust st...

Kontsevich and Segal (K-S) have proposed a criterion to determine which complex metrics should be allowed, based on the requirement that quantum field theories may consistently defined these metrics, Witten has recently suggested their proposal also apply gravity. We explore this in context of gravitational path integrals, simple minisuperspace models, specifically considering de Sitter (dS), n...