liable mode of treating cases of snake-bite. In investigations regarding the action of drugs of a complex nature, it frequently occurs that the physiological action of the drug, considered as a whole, differs from its isolated constituents. Thus, while opium is narcotic, thebaia, one of its constituents, is purely excitant, and in doses of one grain causes tetanic spasms (Farquharson). The expe...

*We have benefited from discussions with Stefan Dercon, Francis Teal and Sharada Weir. However, usual disclaimers apply.

The aim of the present paper is to obtain a number of Kuhn-Tucker type sufficient optimality conditions for a feasible solution to be an efficient solution under the assumptions of the new notions of weak strictly pseudo quasi α-univex, strong pseudo quasi α-univex, and weak strictly pseudo α-univex vector valued functions. We also derive the duality theorems for Mond-Weir and general Mond-Wei...

We characterize, using the Bergman kernel, Carleson measures of Bergman spaces in strongly pseudoconvex bounded domains in C, generalizing to this setting theorems proved by Duren and Weir for the unit ball. We also show that uniformly discrete (with respect to the Kobayashi distance) sequences give examples of Carleson measures, and we compute the speed of escape to the boundary of uniformly d...

⎯In this paper, we construct a pair of Mond-Weir type second order symmetric dual problems, in which the objective function contains support function and is, therefore, nondifferentiable. For this pair of problems, we validate weak, strong and converse duality theorems under pseudobonvexity – pseudoboncavity assumption on the kernel function that appears in the problems. A second order self dua...

Piano key weirs (PKWs) with crown parapet walls effectively manage water levels and maximize storage. However, their efficiency is compromised by interactions between flow submerged outlets during rising levels. This study investigates novel wall designs to improve PKW performance reduce submergence effects. The experiment focuses on a fixed 12.6 cm weir height. Three configurations are tested:...

This experimental study analyzes submerged hydraulic jumps generated in a 1.05-m wide stilling basin that receives overflow rectangular impinging jets, with the vertical distance between sharp-crested weir and bottom of plunge pool being 2.20 m. Five downstream non-developed nappe jets were analyzed, falling distances to break-up length ratios 0.76 0.78. The impingement velocity range was from ...