Half a century ago, Belinsky and Khalatnikov proposed generic solution of the Einstein equations near their cosmological singularity, based on generalization homogeneous model Bianchi type IX. Consideration evolution most general non-diagonal case this is greatly simplified if it assumed that, when approaching singularity t=0, reduces to so-called asymptotic dynamics, at which inequality (6) ho...

Given an environment with continuous state spaces and discrete actions, we investigate using a Double Deep Q-learning Reinforcement Agent to find optimal policies using the LunarLander-v2 OpenAI gym environment.

Recently, a first-order differentiator based on time-varying gains was introduced in the literature, its non recursive form, for class of differentiable signals $y(t)$, satisfying $|\ddot{y}(t)|\leq L(t-t_0)$, known function $L(t-t_0)$, such that $\frac{1}{L(t-t_0)}\left|\frac{d {L}(t-t_0)}{dt}\right|\leq M$ with constant $M$. It has been shown is globally finite-time convergent. In this paper,...

We interpolate a new family of Teichm\"uller spaces $T_{\sharp}^X$ between the universal space $T$ and its little subspace $T_0$, which we call piecewise symmetric homeomorphisms. This is defined by prescribing subset $X$ unit circle. The inclusion relation induces natural $T_{\sharp}^X$, an approximation given increasing sequence $T_{\sharp}^X$. In this paper, discuss fundamental properties fr...

In this paper, we introduce the concepts of fuzzy pairwise (r, s)-irresolute, fuzzy pairwise (r, s)-presemiopen and fuzzy pairwise (r, s)-presemiclosed mappings in smooth bitopological spaces and then we investigate some of their characteristic properties.

In this paper, we propose Q-learning with adaptive state segmentation (QLASS). QLASS provides an e cient method to construct state space suitable for Q-learning to accomplish the task in a continuous sensor space. In QLASS, the robot starts with single state covering whole sensor space. The sensor space is segmented incrementally based on sensor vectors and reinforcement signals. The segmented ...

In this paper, we define new subclasses ${S}^{*}_{q}(alpha,Phi),$ ${M}_{q}(alpha,Phi)$ and ${L}_{q}(alpha,Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete--Szeg"o inequalities. Further, we discuss the improved ...