Continuing the study of the relationship between TC 0 , AC 0 and arithmetic circuits, started by Agrawal et al. 1], we answer a few questions left open in this paper. Our main result is that the classes DiiAC 0 and GapAC 0 coincide, under poly-time, log-space, and log-time uniformity. From that we can derive that under logspace uniformity, the following equalities hold:

In trying to improve Weinstock's results on approximation by holomorphic functions on certain product domains, we are led to estimates in Sobolev spaces for the ∂-operator on polycylinders for (γ, q)-forms. This generalizes our results for the same operator on poly-cylinders previously obtained, and can be applied to a number of other problems such as the Corona problem. 1. Introduction. Had we...

The seeds of the wild Prunus armeniaca L. (wild Apricot) from the Garhwal Region of Uttarakhand (India) was analysed for its proximate compositions and the physico-chemical characteristics of the oil. The elements present in seed oil were also determined which reflected that apricot is rich in Phosphorous, Calcium, Magnesium, Iron and Copper which makes it suitable for edible and commercial oil...