REVISION OF THE GENUS CATANTHERA F.v. MUELL. (MELASTOMATACEAE)

A historical sketch of the genus Catantlicra is presented and its relationship with the two allied genera Dissockaeta Bl. and Mediniltu Gaud, is discussed. The 16 species recognised in the genus Cntantkcra are described and a key to the species so far known is presented. The genus Cata-nthera is entirely restricted to Malesia, occuring in New Guinea, Borneo and Sumatra. They are ivy-like climbers which form a canopy in the tropical rain forests. Five new species, Catanthera royenii Nayar, C. pifosa Nayar, C. novoguinevnsis Nayar, C. Hleuineri Nayar and C. peltata Nayar are described and illustrated

The Professional Journey of a Female Mathematician: From India to the United States

This article chronicles the journey of an immigrant female mathematician in the United States. The chronicle encompasses early training, encouragements received, road-blocks encountered and the background while growing up which shaped the core of her being. The loving, supportive and educative background she received early in life provided the strength to withstand the hurdles thrown in the path of her career advancement. These hurdles are not unique to the author; many immigrant professionals face similar situations. The purpose of the article is to bring awareness to these challenges such professionals face and how they still persevere with discipline and focus

Equivalence of Fermat's Last Theorem and Beal's Conjecture

It is proved in this paper that (1){ \bf Fermat's Last Theorem:} If $\pi$ is an odd prime, there are no relatively prime solutions $x, y, z$ to the equation $z^\pi=x^\pi+y^\pi,$ and (2) { \bf Beal's Conjecture :} The equation $z^\xi=x^\mu+y^\nu$ has no solution in relatively prime positive integers $x, y, z$ with $\mu, \xi, \nu$ odd primes at least $3$. It is proved that these two statements are equivalent

A Proof of Beal's Conjecture

{ Beal's Conjecture :} The equation $z^\xi=x^\mu+y^\nu$ has no solution in relatively prime positive integers $x, y, z$ with $\mu, \xi$ and $\nu$ odd primes at least $3$. A proof of this longstanding conjecture is given

Studies on the chemical quality of cured fish products from the west coast of India

Fish curing is one of the oldest industries of the coastal areas of India. It has been estimated that about 50 to 70% of the marine fish catches of India are at present being processed into cured products {Government of India Publication, 1951 a and b). Though fish curing is of this magnitude, it is one of the least developed industries of India, although efforts are being made in some of the maritime States such as Madras, Travancore-Cochin and Bombay, to improve curing by providing better facilities to the fishermen engaged in the industry. The methods practised are generally primitive and the attention paid to cleanliness and sanitation leaves much to be desired. Only 17-3% of the total fish landing is being cured through the Government fish curing yards {Government of India Marketing Report, 1951), the rest being processed in private yards which are not under the supervision of Government agencies

Conductive Strontium Titanate Layers Produced By Boron-ion Implantation

The ion implantation of boron has been found to be an effective method for increasing the conductivity of strontium titanate. A highly conductive layer was formed by implantations at doses of 3.6x1016 to 1.0x1017 ions/cm2, using an accelerating voltage of 100 kV, corresponding to a boron range of about 300 nm. The conductivity of the implanted layer was found to be further enhanced by about four orders of magnitude after annealing at 225 °C. The surface resistivity attained was typically 1000 Ω/square at room temperature. The resistance increased with rising temperature between 77 and 500 K. All samples were found to be n type, as determined by Hall-effect and thermoelectric measurements. The measured Hall mobility range was from 100 cm2/V sec at 77 K, decreasing to 5 cm2/V sec at 300 K. The existence of several defect energy levels can be inferred from the electrical data

Primal-dual coding to probe light transport

We present primal-dual coding, a photography technique that enables direct fine-grain control over which light paths contribute to a photo. We achieve this by projecting a sequence of patterns onto the scene while the sensor is exposed to light. At the same time, a second sequence of patterns, derived from the first and applied in lockstep, modulates the light received at individual sensor pixels. We show that photography in this regime is equivalent to a matrix probing operation in which the elements of the scene's transport matrix are individually re-scaled and then mapped to the photo. This makes it possible to directly acquire photos in which specific light transport paths have been blocked, attenuated or enhanced. We show captured photos for several scenes with challenging light transport effects, including specular inter-reflections, caustics, diffuse inter-reflections and volumetric scattering. A key feature of primal-dual coding is that it operates almost exclusively in the optical domain: our results consist of directly-acquired, unprocessed RAW photos or differences between them.Alfred P. Sloan Foundation (Research Fellowship)United States. Defense Advanced Research Projects Agency (DARPA Young Faculty Award)Massachusetts Institute of Technology. Media Laboratory (Consortium Members