Air is transported downstream by the water flow in a free-flow spillway tunnel, resulting high negative pressure, which causes gate vibration and cavitation. In this research work, physical model of tunnel was used to investigate effects surface velocity area residual cross sections on air movements. The results demonstrate that distribution forms an S-shaped curve. As increases or decreases, i...

Abstract In supersingular isogeny-based cryptography, the path-finding problem reduces to endomorphism ring problem. Can be reduced knowing just one endomorphism? It is known that a small degree enables polynomial-time and computation (in: Love Boneh, ANTS XIV-Proceedings of Fourteenth Algorithmic Number Theory Symposium, volume 4 Open Book Ser. Math. Sci. Publ., Berkeley, 2020). An gives an ex...

Institutional culture has become a buzzword in recent discussions of higher education in South Africa. Indeed, as references to it proliferate, there is a growing sense that institutional culture may well be the key to the successful transformation of higher education in South Africa. Or – to frame the matter as forcefully as do many recent analysts – it is simply the massive fact and bulk of i...

in this paper we use a class of stochastic functional kolmogorov-type model with jumps to describe the evolutions of population dynamics. by constructing a special lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...

In this paper, a two stages method to determine suitable benchmark and return scale of the decision making units set is presented. At first, all of the efficient reference set in no radial data envelopment analysis (DEA) based on linear programming is found. first, RAM model is introduced and units is investigated using this model, then, to run the given algorithm below steps is performed. At t...