18,724 research outputs found
A Stacked Segmented Adaptive Power Amplifier in 22nm FD-SOI
No full textThis work was supported by Soitec. (Corresponding author: Aritra Banerjee.
The sample complexity of level set approximation
No full textWe study the problem of approximating the level set of an unknown function by sequentially querying its values. We introduce a family of algorithms called Bisect and Approximate through which we reduce the level set approximation problem to a local function approximation problem. We then show how this approach leads to rate-optimal sample complexity guarantees for Hölder functions, and we investigate how such rates improve when additional smoothness or other structural assumptions hold true
Author Exchange
No full textAnthropologist Mukulika Banerjee and political scientist Sushmita Pati have a conversation about their recently published books set in rural Bengal and Delhi’s urban villages, respectively. They situate their analyses of the intersections between democracy, capitalism, urbanization, and globalization in events, relations, and cultures of the everyday. Their exchange offers important insights for how political subjectivities and social ties are differently constituted or, to use Banerjee’s term, “cultivated” in these two settings. The two books offer a fine-grained view of how active citizenship in rural and urban India is refracted through distinct social and institutional structures. India is home to some of the world’s largest cities while more than 900 million people continue to live in the countryside. Its democratic future is therefore inextricably tied to the evolution of political behavior and political economy in both contexts, and, as Banerjee and Pati’s joint response indicates, to how urban and rural dynamics shape each other through (but not only through) migrants and their networks.
Contents:
Review of Mukulika Banerjee’s \u27Cultivating Democracy: Politics and Citizenship in Agrarian India\u27 by Sushmita Pati
Response from Mukulika Banerjee
Review of Sushmita Pati’s \u27Properties of Rent: Community, Capital and Politics in Globalising Delhi\u27 by Mukulika Banerjee
Response from Sushmita Pati
Joint Commentary from Banerjee and Pat
Modica Type Gradient Estimates for Reaction-Diffusion Equations
No full textWe continue the study of Modica type gradient estimates for inhomogeneous parabolic equations initiated in Banerjee and Garofalo (Nonlinear Anal. Theory Appl., to appear). First, we show that for the parabolic minimal surface equation with a semilinear force term if a certain gradient estimate is satisfied at t = 0, then it holds for all later times t > 0. We then establish analogous results for reaction-diffusion equations such as (5) below in Ω × [0, T], where Ω is an epigraph such that the mean curvature of ∂ Ω is nonnegative. We then turn our attention to settings where such gradient estimates are valid without any a priori information on whether the estimate holds at some earlier time. Quite remarkably (see Theorems 4.1, 4.2 and 5.1), this is true for Rn×(−∞,0] and Ω×(−∞,0], where Ω is an epigraph satisfying the geometric assumption mentioned above, and for M×(−∞,0], where M is a connected, compact Riemannian manifold with nonnegative Ricci tensor. As a consequence of the gradient estimate (7), we establish a rigidity result (see Theorem 6.1 below) for solutions to (5) which is the analogue of Theorem 5.1 in Caffarelli et al. (Commun. Pure Appl. Math. 47, 1457–1473, 1994). Finally, motivated by Theorem 6.1, we close the paper by proposing a parabolic version of the famous conjecture of De Giorgi also known as the ε-version of the Bernstein theorem
A new type of lattice gauge theory through self-adjoint extensions
No full textA generalization of Wilsonian lattice gauge theory may be obtained by considering the possible self-adjoint extensions of the electric field operator in the Hamiltonian formalism. In the special case of 3D U(1) gauge theory these are parametrised by a phase θ, and the ordinary Wilson theory is recovered for θ=0. We consider the case θ=π, which, upon dualization, turns into a theory of staggered integer and half-integer height variables. We investigate order parameters for the breaking of the relevant symmetries, and thus study the phase diagram of the theory, which shows evidence of a broken ℤ2 symmetry in the continuum limit, in contrast to the ordinary theory
Theory on mechanism of phase-transformation in electrolytic alloys
No full textIn this paper a brief account has been furnished about Banerjee's theory on mechanism of phase-transformation in electrolytic alloys. Banerjee during the course of his investigation on the influence of various factors on the composition of electro-deposited brass observed a number of interesting phenomena based on which he formulated his theory. Subsequent workers have confirmed Banerjee's view that the phase-structure of an alloy deposit is to be considered in the light of the excess energy imparted to the discharged ion by the imposed cathode potential. The formation of metastable phases in electro-deposited alloys has been found to be in accordance with Banerjee's theory. (Dr. T. Banerjee, Scientist-in-charge, National Metallurgical Laboratory, Jamshedpur
Determination of nitrogen in solid solution in steel by electro-chemical method
No full textThe authors studied the electro-chemical method for determining nitrogen, which is in solid solution potassium tartrate and sodium chloride solution, the metal crystals break down liberating the atomic nitrogen which escapes as gas. Samples of plain carbon steels and low alloy steels were anodically dissolved and the gases liberated were collected and analysed for nitrogen. Reproducible values for nitrogen were obtained with plain carbon and low alloy steels. (Messrs A.N. Chatterjee, Senior Scientific Assistant, N.G. Banerjee Scientist and Dr. T. Banerjee, Scientist, National Metallurgical Laboratory, Jamshedpur
Structure of electrolytic silver-copper alloys
No full textThe solid solubility limits of the electrolytic silver-copper alloys deposited at constant cathode potential over a range of 0.92-94.93 percent copper were studied by the X-ray powder diffraction technique. The existence of the metastable alloy phases at ordinary temperatures and their subsequent transformation on annealing as observed by the authors have been explained on the basis of the postulations advanced earlier by Banerjee in the case of brass. The role of various factors on the deposition of these alloys has also been discussed. (Mr. P.L. Ahuja, Senior Research Fellow and Dr. T. Banerjee, Deputy Director, National Metallurgical Laboratory, Jamshedpur
Banerjee_QSurvey_RawDataSet_PPC
No full textRaw dataset for questionnaire survey study (kinesiology taping_cancer care continuum)Author: Gourav Banerjee et alJournal: Progress in Palliative Care</div
Structure of Electrolytic Alloys
No full textElectrolytic deposition of alloys at constant c.p. indicated that composition of the deposited alloys, remains unaffected during the period of electrolysis carried at c.p. only. Atomic structure of electrolytic alloys such as Cu-Zn, Ag-Cd deposited at c. p. has been compared with those of their thermal counterparts and the mechanism of phase transformation in these electrolytic alloys has been explained on the basis of the discharge of ions in an amorphous condition and in a state of high energy. (Dr. T. Banerjee, Deputy Director, National Metallurgical Laboratory, Jamshedpur
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