We study a general family of space–time discretizations of the KPZ equation and show that they converge to its solution. The approach we follow makes use of basic elements of the theory of regularity structures (Hairer in Invent Math 198(2):269–504, 2014 ) as well as its discrete ...
equation of time n. The difference between time measured from the observed position of the sun and time measured from the position of the mean sun, caused by changes in the earth's orbital speed through the cycle of the seasons. It is the difference between time measured with a sundial and...
Would you be able to leave everything you know and love about our galaxy forever and begin a life of space exploration? Space travel calculator – relativistic rocket equation Now that you know whether interstellar travel is possible and how fast we can travel in space, it's time for some ...
In this article, we establish new and more general traveling wave solutions of space-time fractional Klein–Gordon equation with quadratic nonlinearity and the space-time fractional breaking soliton equations using the modified simple equation method. The proposed method is so powerful and effective to...
The fractional variational principles beside the semi-inverse technique are applied to derive the space–time fractional Boussinesq equation. The semi-inverse method is used to find the Lagrangian of the Boussinesq equation. The classical derivatives in the Lagrangian are replaced by the fractional deriv...
1. The covariant equation of plane motion body in curved space - time is studied.研究弯曲 时空 中平面运动刚体的动力学协变方程.2. The governing equation of a gear system with time - varying meshing stiffness is established.建立了具有时变啮合刚度的二级齿轮系统的动力学方程式.祝学习...
Space–Time Discrete KPZ Equation 523 Almost contemporarily, a different way of making sense of (1.1) has been established. Thanks to the theory of rough paths first [Hai13] (introduced by Lyons in [Lyo98]) and paracontrolled calculus [GP17] (first in [GIP15]), regularity structures [...
Using the essence of Feynman's path integral and the space-time geodesics, an infinity of differentiable paths that follow the geometry of a continuous geodesic are constructed, and a wave function is associated to each path as a probability amplitude identical to the Feynman's probability amplitud...
In this paper we discuss classical aspects of spinor field theory on the coordinate dependent noncommutative space–time. The noncommutative Dirac equation describing spinning particle in an external vector field and the corresponding action principle are proposed. The specific choice of a star product ...
In many real-world situations there is a cost both for more hidden states and for more hidden timesteps. Accordingly, we derive a “space–time” tradeoff between the number of hidden states and the number of hidden timesteps needed to implement any given function....