The Advantage of Foraging Myopically

We study the dynamics of a \emph{myopic} forager that randomly wanders on a lattice in which each site contains one unit of food. Upon encountering a food-containing site, the forager eats all the food at this site with probability $p<1$; otherwise, the food is left undisturbed. When the forager eats, it can wander $\mathcal{S}$ additional steps without food before starving to death. When the forager does not eat, either by not detecting food on a full site or by encountering an empty site, the forager goes hungry and comes one time unit closer to starvation. As the forager wanders, a multiply connected spatial region where food has been consumed---a desert---is created. The forager lifetime depends non-monotonically on its degree of myopia $p$, and at the optimal myopia $p=p^*(\mathcal{S})$, the forager lives much longer than a normal forager that always eats when it encounters food. This optimal lifetime grows as $\mathcal{S}^2/\ln\mathcal{S}$ in one dimension and faster than a power law in $\mathcal{S}$ in two and higher dimensions.Comment: 10 pages, 1o figure

Densification and Structural Transitions in Networks that Grow by Node Copying

We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors of the target with copying probability $p$. When $p<\frac{1}{2}$, this algorithm generates sparse networks, in which the average node degree is finite. A power-law degree distribution also arises, with a non-universal exponent whose value is determined by a transcendental equation in $p$. In the sparse regime, the network is "normal", e.g., the relative fluctuations in the number of links are asymptotically negligible. For $p\geq \frac{1}{2}$, the emergent networks are dense (the average degree increases with the number of nodes $N$) and they exhibit intriguing structural behaviors. In particular, the $N$-dependence of the number of $m$-cliques (complete subgraphs of $m$ nodes) undergoes $m-1$ transitions from normal to progressively more anomalous behavior at a $m$-dependent critical values of $p$. Different realizations of the network, which start from the same initial state, exhibit macroscopic fluctuations in the thermodynamic limit---absence of self averaging. When linking to second neighbors of the target node can occur, the number of links asymptotically grows as $N^2$ as $N\to\infty$, so that the network is effectively complete as $N\to \infty$.Comment: 15 pages, 12 figure

A COMPARATIVE CLINICAL STUDY ON THE EFFECTIVENESS OF RASONA TAILA AND GANDHARVAHASTADI ERANDA TAILA IN GRIDHRASI (SCIATICA)

Gridhrasi is a Vyadhi characterized by Stambha (stiffness), Ruk (pain), Toda (pricking pain), Spandana (twitching) etc. Though it is of two types – Vataja and Vatakaphaja, Vata being the prime cause for this condition has to be tackled to gain relief. Gridhrasi, according to its signs and symptoms can be compared to sciatica in modern medical science which is a painful condition in which pain commences from the buttock and radiates into the lower extremity along its posterior or lateral aspect, more or less comprising of the area of distribution of the sciatic nerve. Thus, this study was taken up to evaluate the efficacy of Rasona taila and Gandharvahastadi eranda taila in the management of Gridhrasi (Sciatica). Methods: In the present study, 60 subjects diagnosed with Gridhrasi were randomly selected and assigned into two equal groups Group A and Group B comprising 30 subjects each. Subjects of Group A received Rasona taila 10ml orally in morning before food and subjects of Group B received Gandharvahastadi eranda taila 10 ml orally in morning before food, both for duration of 21 days. The data obtained in both the groups were recorded, tabulated and statistically analyzed using appropriate statistical methods. Results: After obtaining all the necessary data, the results were formulated by applying suitable statistical tests. Group A showed better results statistically when compared to Group B. Conclusion: Rasona taila has better effects than Gandharvahastadi eranda taila both clinically and statistically in reducing the signs and symptoms of Gridhrasi

Decoding Strategies at the Relay with Physical-Layer Network Coding

Cataloged from PDF version of article.A two-way relay channel is considered where two users exchange information via a common relay in two transmission phases using physical-layer network coding (PNC). We consider an optimal decoding strategy at the relay to decode the network coded sequence during the first transmission phase, which is approximately implemented using a list decoding (LD) algorithm. The algorithm jointly decodes the codewords transmitted by the two users and sorts the L most likely pair of sequences in the order of decreasing a-posteriori probabilities, based on which, estimates of the most likely network coded sequences and the decoding results are obtained. Using several examples, it is observed that a lower complexity alternative, that jointly decodes the two transmitted codewords, has a performance similar to the LD based decoding and offers a near-optimal performance in terms of the error rates corresponding to the XOR of the two decoded sequences. To analyze the error rate at the relay, an analytical approximation of the word-error rate using the joint decoding (JD) scheme is evaluated over an AWGN channel using an approach that remains valid for the general case of two users adopting different codebooks and using different power levels. We further extend our study to frequency selective channels where two decoding approaches at the relay are investigated, namely; a trellis based joint channel detector/physical-layer network coded sequence decoder (JCD/PNCD) which is shown to offer a near-optimal performance, and a reduced complexity channel detection based on a linear receiver with minimum mean squared error (MMSE) criterion which is particularly useful where the number of channel taps is large

ROLE OF VIRECHANA IN PSORIASIS (KITIBHA KUSHTA) – A CASE STUDY

Psoriasis is a common chronic, recurrent, autoimmune disease of the skin and joints. It can have a significant negative impact on the physical, emotional and psychosocial well-being of affected patients. The use of modern medicine has greatly improved psoriasis treatment by providing symptomatic relief. However, some individuals fail to respond to treatment or lose initial efficacy, and it may be difficult to find the optimal treatment for these patients. Also, modern medicines have their own side effects in long course. The Ayurvedic diagnosis is considered as Kitibhakushta, which is a Vata-kapha predominant Kushta. Here, an effort was made to treat a forty-nine years old male diagnosed with long standing moderate to severe erythrodermic psoriasis who had received systemic therapies in modern medicine without sufficient response previously, by classical Ayurvedic regimen. As the principle of treatment of all types of Kushta is Samshodhana along with Samshamana drugs, in this study, Virechana was given followed by which Samshamana drugs were given for 30 days. Assessment of skin lesions were done at the end of treatment

Length Weight Relationship of Whip Fin Silver Biddy Gerres Filamentosus (Cuvier) from Sharavathi Estuary, Central West Coast Of India

The length weight relationship and relative condition factors were studied between Jan. and Dec. 2008. Length weight relationship of Gerres filamentosus did not differ significantly between the sexes and combined equation is given by W= 0.000001663 L3.1675. The highest Kn value in female was in June (1.0950) and lowest in July (1.0950). Similarly the highest Kn value in male was in Dec (1.0587) and lowest in July (0.8994). Both in males and females the Kn value was highest in the size of 101-110 mm which can be attributed to feeding