Rebilas, KrzysztofApeiron: Studies in Infinite Nature
motivating the pursuit of an axiomatic description of entanglement akin to the laws of thermodynamics. A long-standing open problem has been to establish a true second law of entanglement, and in particular a unique function that governs all transformations between entangled systems, mirroring...
Then instantaneously reverse the direction of motion of all particles making up the gas. Assuming classical Newtonian micro-dynamics, the resulting system will show the temporal mirror image of the original behavior. Thus, its entropy will decrease over time, violating the Second Law.1 This thought...
Derivation of the Boussinesq-type approximation In short we state all the steps, though they overlap with [8] (and [10], [11]) to some extent. This is convenient for the reader since we give clear guidance and correct some misprints in [8]. Moreover, we think that this provides a be...
Sound sources in the world are experienced as stable even when intermittently obscured, implying perceptual completion mechanisms that “fill in” missing sensory information. We demonstrate a filling-in phenomenon in which the brain extrapolates the sta
Statistical derivation of the equations of motion of second-order liquidsNo Abstract available for this article.doi:10.1007/BF01066494V. A. SavchenkoT. N. KhazanovichKluwer Academic Publishers-Plenum PublishersTheoretical & Mathematical Physics
Starting from the classical Newton's second law which, according to our\nassumption, is valid in any instantaneous inertial rest frame of body that\nmoves in Minkowskian space-time we get the relativistic equation of motion\n$\\vec{F}=d\\vec{p}/dt$, where $\\vec{p}$ is the ...
It is important to note that the initialization scheme follows a similar energy law as that of (1.1) and the second order finite element method (2.1a)–(2.1b) satisfies a modification of this energy law. Let (ϕh1,μh12)∈Sh×Sh be the unique solution of the initialization scheme (2.3...
However, a simpler second-order tracker such as an 𝛼-𝛽 filter is often required when the number of components and/or the size of hardware is quite limited and the complexity of target motion is predicted to be relatively small (i.e., a constant velocity model assuming a second-order...
These studies also addressed the fault-tolerant control issue in the presence of actuator failures [31,32,33]. However, in current research on hypersonic vehicle controllers, some studies have only focused on controllers for longitudinal models, overlooking the coupling effects of lateral motion. ...