Reducing Memory Cost of Exact Diagonalization using Singular Value Decomposition

We present a modified Lanczos algorithm to diagonalize lattice Hamiltonians with dramatically reduced memory requirements, {\em without restricting to variational ansatzes}. The lattice of size $N$ is partitioned into two subclusters. At each iteration the Lanczos vector is projected into two sets of $n_{{\rm svd}}$ smaller subcluster vectors using singular value decomposition. For low entanglement entropy $S_{ee}$, (satisfied by short range Hamiltonians), the truncation error is expected to vanish as $\exp(-n_{{\rm svd}}^{1/S_{ee}})$. Convergence is tested for the Heisenberg model on Kagom\'e clusters of 24, 30 and 36 sites, with no lattice symmetries exploited, using less than 15GB of dynamical memory. Generalization of the Lanczos-SVD algorithm to multiple partitioning is discussed, and comparisons to other techniques are given.Comment: 7 pages, 8 figure

Deduplication Systems Using The Ramp Secret Sharing Scheme

Deduplication systems are ensured as far as the definitions specific in the security display, document level deduplication, which discover redundancies flanked by various records and take these redundancies to decline limit requests, and square level deduplication, which finds and take away redundancies between information pieces. The document can be isolated intosmaller settled size or variable-estimate squares. By method for changeless size squares make more straightforward the calculations of piece limits, while utilizing variable-estimate squares gives better deduplication fitness

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Not AvailableExperiments were conducted at ICAR-CTCRI during 2016 and 2017 to study the rooting pattern of elephant foot yam, variety Gajendra under drip irrigation and rainfed conditions, by growing the crop in semi permanent cement tanks and periodical uprooting. The root system, emerging from the newly developing corms, was shallow growing to a maximum depth of 30-40 cm, but spread horizontally upto 1.2 m.The pattern of rooting was more or less similar during both the seasons. Number of roots, length and root biomass increased gradually from sprouting, and reached maximum at full canopy development stage or 3 MAP. These parameters declined with corm bulking and reached minimum at crop senescence. Both number of roots, root dry matter and depth of rooting were less under limited soil moisture. However, rainfed crop retained more number of lengthy roots, and biomass towards later stages than irrigated crop.Not Availabl

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Not AvailablePTD has shown success in Chinese potato and farmers realised better yield.Not Availabl

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Not AvailableCultivation of improved varieties of chinese potato increase the farmers income.Not Availabl