Deep neural networks for natural language processing are fragile in the face of adversarial examples---small input perturbations, like synonym substitution or word duplication, which cause a neural network to change its prediction. We present an appr
oach to certifying the robustness of LSTMs (and extensions of LSTMs) and training models that can be efficiently certified. Our approach can certify robustness to intractably large perturbation spaces defined programmatically in a language of string transformations. Our evaluation shows that (1) our approach can train models that are more robust to combinations of string transformations than those produced using existing techniques; (2) our approach can show high certification accuracy of the resulting models.
In this article, we used the generalized Hamilton-Jacoby equation to study the
relative motion of the electron in the arbitrary electromagnetic field, depending on
the action function(the principle of the least action), taking into account the
rel
ationship between the Hamilton and Lagrange functions(H P v L ), starting
with the equations of energy and motion for electron in the theory of special
relativity, where the Lagrangian were chosen so that the principle of variation is
equal to zero, thus the Lagrange equation was verified. The first and second sets of
Hamilton's equations were obtained and then Hamilton's conservation law, ie
electron energy. Study of some applications of the Hamilton-Jacoby equation on the
free motion of the particle, circular motion and the adiabatic transformations was
discussed. Kepler problem of the hydrogen atom was then discussed in relativistic
theory. The equation of the motion path of the electron was calculated and the
energy of the vibration and the frequency of the vibration were calculated.
Housing is an important element of architectural surrounding, that appears to be an
outcome of the interaction of a number of factors whether regarding its age, model,
location, and area. So any building is valued by its aesthetic historic value as
well as its
capacity to satisfy the needs and comfort of its inhabitants.
The research presents an analytical study of the reality of contemporary housing and
its changes in the city of Latakia during the period 1921-2014, to register the most
important transformations that have occurred as a result of political, economic and social
conditions on the architectural level (housing) and urban level (residential complexes).
The research has sum up a set of architectural aspects that have changed in the
design of buildings in Latakia , along with the most important reasons causing this change.
