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We discuss advantages of numerical simulation based on symbolic presentations of beam line dynamical models. In some previous papers, some of these features were discussed. In this paper, we demonstrate how the symbolic presentation of necessary information can provide an in-depth study of different features of complex systems. For this purpose, we suggest a modular principle for all levels of the...
It is known that accelerator physics technology has made essential contributions to other branches of science and technology. Experiments realized on linear and circular accelerators have made remarkable discoveries about the basic nature of matter. In particular, there are now two accelerator projects. The first of them is already realized — the Large Hadron Collider, the second — the pilot project...
In modern literature, the geometric integration means numerical integration of differential equations that provides an accurate preservation of one or more “geometric” properties within rounding error. Among these properties we have to mention first conservation of energy, of momentum, of angular momentum, of volume of the phase space, of time-reversal symmetry, of symplectic structure (volume conservation)...
In this paper we discuss some problems and corresponding methods for the optimal design of a M/Q separator that can be used to separate highly charged ions. We consider the enough traditional mass-separator structure, consisting of some magnetic and electrostatic devices to obtain a high order achromatic system. The discussed approach is based on the matrix formalism for Lie algebraic methods and...
In this paper we are considering the problem of automated construction of symbolic representations of objects needed for modeling (analytical and numerical) control systems for charged particle beams. The basis of the approach is the matrix formalism for Lie algebraic methods describing the evolution of the particle beam as a collective object in the nonlinear electromagnetic fields.
We present an analytical approach that shows how fringe field aberrations depend on parameters of control elements (dipoles, quadrupoles, and so on). The used approach is based on both analytical presentation of matrix transfer maps and different models for fringe fields. The suggested approach is based on parametric investigations in the symbolic mode for necessary objects. Here we used some automatically...
Large and Deep Convolutional Neural Networks achieve good results in image classification tasks, but they need methods to prevent overfitting. In this paper we compare performance of different regularization techniques on ImageNet Large Scale Visual Recognition Challenge 2013. We show empirically that Dropout works better than DropConnect on ImageNet dataset.
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