He is our master : Jesus in the Thought of Swami Prabhupada

Now that steam, electricity, and the printing press have brought into closer communication the different races that inhabit the earth, and have expanded the minds of men, tending to dispel the illusion that God Almighty especially favours any particular people, it is time to proclaim to the world, that if a messenger of God appeared in Judea about nineteen hundred years ago, it is no less true that a messenger from the same God appeared in the quiet town of Navadweep (popularly known as Nadia) in Bengal, some fifteen centuries later. The former is known by the name of Jesus Christ; the latter is known in India by the name of Sree Gauranga, Sree Krishna Chaitanya, and several other names. If wonders attended Jesus, so also they attended Sree Gauranga of Nadia. The Christians have conferred an inestimable obligation upon those Hindus whose faith has been affected by Western materialism, by presenting Christ to them; and they, as a grateful return, are anxious to present Sree Krishna and Sree Gauranga to the people of the West. So begins Shishir Kumar Ghose\u27s lengthy biography of Caitanya, published at the turn of the twentieth century

VIEWPOINT: Hinduism and the Academy: Towards a Dialogue Between Scholar and Practitioner

Gupta articlulates a rationale as to why the position of both the academician and the practitioner are necessary for meaningful religious dialog

Output Feedback Invariants

The paper is concerned with the problem of determining a complete set of invariants for output feedback. Using tools from geometric invariant theory it is shown that there exists a quasi-projective variety whose points parameterize the output feedback orbits in a unique way. If the McMillan degree $n\geq mp$, the product of number of inputs and number of outputs, then it is shown that in the closure of every feedback orbit there is exactly one nondegenerate system.Comment: 15 page

Degree of the generalized Pl\"ucker embedding of a Quot scheme and Quantum cohomology

We compute the degree of the generalized Pl\"ucker embedding $\kappa$ of a Quot scheme $X$ over \PP^1. The space $X$ can also be considered as a compactification of the space of algebraic maps of a fixed degree from \PP^1 to the Grassmanian $\rm{Grass}(m,n)$. Then the degree of the embedded variety $\kappa (X)$ can be interpreted as an intersection product of pullbacks of cohomology classes from $\rm{Grass}(m,n)$ through the map $\psi$ that evaluates a map from \PP^1 at a point x\in \PP^1. We show that our formula for the degree verifies the formula for these intersection products predicted by physicists through Quantum cohomology~\cite{va92}~\cite{in91}~\cite{wi94}. We arrive at the degree by proving a version of the classical Pieri's formula on the variety $X$, using a cell decomposition of a space that lies in between $X$ and $\kappa (X)$.Comment: 18 pages, Latex documen

Monami as an oscillatory hydrodynamic instability in a submerged sea grass bed

The onset of monami ~-- the synchronous waving of sea grass beds driven by a steady flow -- is modeled as a linear instability of the flow. Unlike previous works, our model considers the drag exerted by the grass in establishing the steady flow profile, and in damping out perturbations to it. We find two distinct modes of instability, which we label Mode 1 and Mode 2. Mode 1 is closely related to Kelvin-Helmholtz instability modified by vegetation drag, whereas Mode 2 is unrelated to Kelvin-Helmholtz and arises from an interaction between the flow in the vegetated and unvegetated layers. The vegetation damping, according to our model, leads to a finite threshold flow for both these modes. Experimental observations for the onset and frequency of waving compare well with model predictions for the instability onset criteria and the imaginary part of the complex growth rate respectively, but experiments lie in a parameter regime where the two modes can not be distinguished. % The inclusion of vegetation drag differentiates our mechanism from the previous linear stability analyses of monami.Comment: 4 figures, 13 page