2,619 research outputs found
Kalyanapuram Parthasarathy
No full textNOTE: to view these items please visit http://dynkincollection.library.cornell.eduRecollections of Kalyanapuram Rangachari Parthasarathy recorded by Eugene Dynkin on January 15, 1982 at K. R. Parthasarathy's home in Delhi, India
Radiowave absorption and connected phenomena in the auroral zone, in relation to primary particles and magnetosphere
No full textUAG R-168, Final Report. Preface excerpt: This report presents the results of a program intended to explore the relations between ground-based auroral observations at College and satellite-based observations of the auroral primary particles, the radiation belt and the magnetosphere. The radio wave absorption aspects of the auroral phenomenon were given major emphasis.The investigation was financially supported by the National Science Foundation Grant GP 2779.Preface – Ch.1. Auroral zone electron flux and its relation to broadbeam radiowave absorption by R. Parthasarathy, F. T. Berkey, and D. Venkatesan – Ch.2. State of the magnetosphere during the breakup phase of the auroras by R. Parthasarathy and T. N. Davis – Ch.3. Diurnal variation of energetic trapped electrons and magnetic activity by J. L. Hook and R. Parthasarathy
EXACT TRANSIENT SOLUTION OF A STATE-DEPENDENT BIRTH-DEATH PROCESS
No full textA power series expression in closed form for the transient probabilities of a state-depen-dent birth-death process is presented with suitable illustrations. Copyright © 2006 P. R. Parthasarathy and R. Sudhesh. This is an open access article dis-tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is prop-erly cited. 1
On Lipschitzian Q0 and INS matrices
No full textAbstractA problem posed by Murthy, Parthasarathy, and Sriparna is settled in this note, viz., a nondegenerate matrix satisfying Property (∗∗) introduced by Murthy, Parthasarathy, and Sabatini is shown to be a Lipschitizian matrix. The analysis is based on the results recently derived on INS matrices. We also prove that the class INS under the assumption of nondegeneracy is complete
From quantum stochastic differential equations to Gisin-Percival state diffusion
No full textStarting from the quantum stochastic differential equations of Hudson and Parthasarathy Commun. Math. Phys. 93, 301 (1984) and exploiting the Wiener-Itô-Segal isomorphism between the boson Fock reservoir space �(L2(�+)�(�n��n)) and the Hilbert space L2(μ), where μ is the Wiener probability measure of a complex n-dimensional vector-valued standard Brownian motion (B(t),t�0), we derive a non-linear stochastic Schrödinger equation describing a classical diffusion of states of a quantum system, driven by the Brownian motion B. Changing this Brownian motion by an appropriate Girsanov transformation, we arrive at the Gisin-Percival state diffusion equation N. Gisin and J. Percival, J. Phys. A 167, 315 (1992). This approach also yields an explicit solution of the Gisin-Percival equation, in terms of the Hudson-Parthasarathy unitary process and a randomized Weyl displacement process. Irreversible dynamics of system density operators described by the well-known Gorini-Kossakowski-Sudarshan-Lindblad master equation is unraveled by coarse-graining over the Gisin-Percival quantum state trajectories. © 2017 Author(s)
A martingale characterization of canonical commutation and anticommutation relations
No full textUsing a martingale condition and some restrictions on moments up to fourth order the characterisation problem of boson, fermion, and classical brownian motions is studied from a unified point of view entirely within the framework of elementary operator theory. Global commutation and anticommutation rules turn out to be consequences of corresponding commutation and anticommutation rules between past and future observables
Comparison Of Fibers Properties Of Azadirachta Indica And Acacia Arabica Plant For Lightweight Composite Application
No full textIn this paper, the bark of Azadirachta Indica and Acacia Arabica plant is analysed for investigating and comparing. The aim is to investigate the potential use of these fibres as reinforcements in polymeric materials. The physicochemical properties of Azadirachta Indica fibres (AIFs) and Acacia Arabica fibres (AAFs) are examined by chemical constitutions, X-ray diffraction, thermogravimetry analysis, Fourier transform infrared spectroscopy analysis, and surface morphological analysis. AIF has a cellulose content of 68.42 wt.%, density of 740 kgm–3, crystallinity index of 65.04%; AAF has a cellulose content up to 68.1 wt.%, density equal to 1028 kgm–3 and crystallinity index of 51.72% respectively. The maximum peak temperature obtained in differential thermogravimetry (DTG) curve is 321.2°C for AIF, and 345.1°C for AAF. The physicochemical results confirm the structural application of AIF and AAF for several industrial fields
Assessment of sleep in ventilator-supported critically III patients
No full textOBJECTIVES:
In critically ill patients, sleep derangements are reported to be severe using Rechtschaffen and Kales (R&K) methodology; however, whether such methodology can reliably assess sleep during critical illness is unknown. We set out to determine the reproducibility of 4 different sleep-assessment methods (3 manual and 1 computer-based) for ventilator-supported critically ill patients and also to quantify the extent to which the reproducibility of the manual methods for measuring sleep differed between critically ill and ambulatory (control) patients.
DESIGN:
Observational methodologic study.
SETTING:
Academic center.
PATIENTS:
Critically ill patients receiving mechanical ventilation and age-matched controls underwent polysomnography.
INTERVENTIONS:
None.
MEASUREMENTS AND RESULTS:
Reproducibility for the computer-based method (spectral analysis of electroencephalography [EEG]) was better than that for the manual methods: R&K methodology and sleep-wakefulness organization pattern (P = 0.03). In critically ill patients, the proportion of misclassifications for measurements using spectral analysis, sleep-wakefulness organization pattern, and R&K methodology were 0%, 36%, and 53%, respectively (P < 0.0001). The EEG pattern of burst suppression was not observed. Interobserver and intraobserver reliability of the manual sleep-assessment methods for critically ill patients (kappa = 0.52 +/- 0.23) was worse than that for control patients (kappa = 0.89 +/- 0.13; P = 0.03). In critically ill patients, the overall reliability of the R&K methodology was relatively low for assessing sleep (kappa = 0.19), but detection of rapid eye movement sleep revealed good agreement (kappa = 0.70).
CONCLUSIONS:
Reproducibility for spectral analysis of EEG was better than that for the manual methods: R&K methodology and sleep-wakefulness organization pattern. For assessment of sleep in critically ill patients, the use of spectral analysis, sleep-wakefulness organization state, or rapid eye movement sleep alone may be preferred over the R&K methodology
Viscous streaming-enhanced inertial particle transport
No full textFluidic devices operating at the micro- and milli-meter scales employ several fundamental tasks involving pumping, mixing, separation, sorting, storing and transport of different fluids (or) species. An attractive fluid mechanism that can be leveraged to fulfill these wide range of tasks is viscous streaming, a non-linear effect characteristic of the scales above. In this thesis, we first show that numerical simulations based on the Remeshed Vortex Method (RVM) can accurately and efficiently capture viscous streaming dynamics. We test this algorithm on a wide variety of settings while simultaneously exhibiting the resultant streaming flow--structures, demonstrating both streaming's capability of effecting flow control and our solver's robustness in capturing these structures. We then consider the problem of an idealized two-dimensional inertial particle transport and prove that transport can be augmented by sensibly utilizing the streaming mechanism. We then successfully perform a forward--design study to devise shapes capable of enhanced transport using this mechanism, capitalizing on the insights gained from our demonstrations above. We envison such transport applications in the emergent technology of miniature robots, capable of traversing our blood stream to deliver payloads of therapeutical drugs.Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2020-12-01The student, Tejaswin Parthasarathy, accepted the attached license on 2018-12-12 at 17:19.The student, Tejaswin Parthasarathy, submitted this Thesis for approval on 2018-12-12 at 17:27.This Thesis was approved for publication on 2018-12-13 at 16:32.DSpace SAF Submission Ingestion Package generated from Vireo submission #13309 on 2019-02-08 at 11:42:06Made available in DSpace on 2019-02-08T18:44:46Z (GMT). No. of bitstreams: 2
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Previous issue date: 2018-12-13Embargo set by: Seth Robbins for item 109991
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