micromixers are one of the most crucial components of lab-on-a-chip devices with the intention of mixing and dispersion of reagents like small molecules and particles. the challenge facing micromixers is typically insufficient mixing efficiency in basic designs, which results in longer microchannels. therefore, it is desirable to increase mixing efficiency, in order to decrease mixing length, w...

In this paper a new four-parameter lifetime distribution named “the Exponentiated gompertz-poisson (E-GP) distribution” has been suggested that it has a decreasing, increasing, bathtub-shaped and inverse bathtub-shape for modeling lifetime data. The Exponentiated gompertz-poisson has applications in economics, actuarial modelling,reliability modeling, lifetime and queuing problems and biologica...

We construct an open bounded star-shaped set Ω ⊂ R 4 whose cylindrical capacity is strictly bigger than its proper displacement energy. We also construct an open bounded set Ω0 ⊂ R 4 whose proper displacement energy is stricly bigger than the displacement energy of its closure.

in this paper, we study the chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. in particular, we prove that if t is a remotal subset of an inner product space h, and f is a star-shaped set at a relative chebyshev centre c of t with respect to f, then llx - qt (x)1i2 2 ilx-cll2 + ilc-qt (c) 112 x e f, where qt : f + t is any choice function s...

Several asteroids are known to be shaped like toy tops. This paper models Top-Shaped Asteroids (TSAs) as Homogeneous Symmetric Lenses (HSLs), and derives their rotational, self-gravitational, total energies functions of mass, density, angular momentum. Then we raise, test, ultimately reject the hypothesis that TSAs take shape lowest energy, subject constraint they keep same momentum, while rema...

‎let $x$ be a real normed  space, then  $c(subseteq x)$  is  functionally  convex  (briefly, $f$-convex), if  $t(c)subseteq bbb r $ is  convex for all bounded linear transformations $tin b(x,r)$; and $k(subseteq x)$  is  functionally   closed (briefly, $f$-closed), if  $t(k)subseteq bbb r $ is  closed  for all bounded linear transformations $tin b(x,r)$. we improve the    krein-milman theorem  ...