Summation of pulse inputs are considered on the basis of the theory of quasi-periodic functions and nonlinear transformation via relaxation of the self-oscillating system of a neuron. A way of encoding input information is also considered in which the information unit is a pulse sequence, and ...
What Are the Examples of Periodic Function? The examples of periodic functions are the trigonometric functions, inverse trigonometric functions, hyperbolic functions, and all the functions which represent periodic or circular motions in physics.
Beardmore. Lekner summation of coulomb interactions in partially periodic systems. Molecular Physics, 92(5):941- 946, 1997.Gronbech-Jensen N, Hummer G and Beardmore K M 1997 Lekner summation of Coulomb interactions in partially- periodic systems Mol. Phys. 92 941-5...
Noticeably, the narrow band enhancements are still evident in the summations, as highlighted in Figure 5, and these are persistent regardless of window length. Note in the α/p length ODs two additional bands, near 500 and 800 Mm, that were not identified in the Kepko et al. (2020) ...
Fast and spectrally accurate summation of 2-periodic Stokes potentials. arXiv:1111.1815v1 [physics.flu-dyn], 2011. 2, 11, 15D. Lindbo, A.-K. Tornberg, Fast and spectrally accurate summation of 2-periodic Stokes potentials, arXiv:1111.1815v1 [physics.flu-dyn]....
Finite box-size effects in simulations The intensive nature of the calculations in a simulation (particularly the force summation) limits the number of particles that can be included, and therefore the size of the simulation box. To overcome this, simulators use periodic boundary conditions. To inv...
5. O. Costin, On Borel summation and Stokes phenomena for rank one nonlinear systems of ODE's, Duke Math. J. 93:289–344 (1998). O. Costin, R. D. Costin, and J. Lebowitz, Transition to the continuum of a particle in time-periodic potentials, in Advances in Differential Equations an...
waves (having small amplitude) results in a wave that is a point-by-point summation of each individual wave (constructive interference) (destructive interference) Properties of Waves • Traveling waves can both reflect and transmit across a boundary between 2 media –Reflected wave pulse is in...
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Mixing in the components and rearrangements of Tα,β Here the coefficients eyO, τ) are smooth and periodic in R" +1 and satisfy the condition of uniform ellipticity. We omit the summation sign for repeated i... ON Ageev - 《Russian Mathema...
In this paper we are interested in limit laws for infinite horizon planar periodic Lorentz gases with small scatterers. The Lorentz gas, a popular model of mathematical physics introduced by Lorentz in 1905 [23], is a dynamical system on the infinite billiard table obtained by removing strictly ...