We prove a separation between monotone and general arithmetic formulas for polynomials of constant degree. We give an example of a polynomial C in n variables and degree k which is computable by an arithmetic formula of size O(k2n2), but every monotone formula computing C requires size (n/kc)Ω(log k), with c ∈ (0, 1). This also gives a separation between monotone and homogeneous formulas, for p...

in this study, porous scaffolds from poly(d,l-lactic acid) have been prepared via liquid- liquid phase separation method in ternary system of polymer-1,4-dioxane-water. polymer dissolved in dioxane in 1.5, 2.5 and 5 % wt/v and the solvent/non-solvent ratios were 13/87, 15/85 and 17/83. cloud point curves prepared by visual turbidometry. in order to obtain porous scaffolds with inter-connected p...

Daily separation of rat pups from their mothers while the preweaning period has an impact on behavior and stress response of pups. We hypothesized that maternal separation may create a depression-like state in mother rats from which we separate the rat pups and decrease their reproductive function and fertility. Also, we aimed to evaluate the transmission degree of depression and anxiety across...

Compact Fluorescent Lamps (CFLs) are composed of glass, plastic, non-ferrous metal, ferrous metal, paper, plastic, rubber, and so on. In order to separate glass and plastic among CFLs components, air separation unit is applied using the difference in specific gravity. Since specific gravities of glass, plastic, non-ferrous metals, rubber, etc. were widely spread, it can be separated by the diff...

Compressible large-eddy simulations of turbulent flow over a wall-mounted hump with active flow control are performedand comparedwithprevious experiments. Theflow is characterizedby the unsteady separationbefore the steep trailing edge, which naturally reattaches downstream of the hump to form an unsteady turbulent separation bubble. The lowMachnumber large-eddy simulation demonstrated a goodpr...

The selective separation of aromatics (benzene, toluene and p-xylene, BTX) from aliphatic (n-heptane) is investigated using simple permeation and facilitated transport emulsion liquid membrane mechanism. The separation performances, represented by the permeation rate and separation factor, are analyzed systematically by varying the operating parameters. One of the major obstacles to the applica...

Recent work has shown strong separation between the expressive power of depth2 and depth-3 neural networks. These separation results exhibit a function and an input distributions, so that the function is well-approximable in L2-norm on the input distribution by a depth-3 neural network of polynomial size but any depth-2 neural network that well-approximates it requires exponential size. A limit...