Random sampling of signals concentrated on compact set in localized reproducing kernel subspace of Lp(Rn)L^p({\mathbb R}^n)

The paper is devoted to studying the stability of random sampling in a localized reproducing kernel space. We show that if the sampling set on $\Omega$ (compact) discretizes the integral norm of simple functions up to a given error, then the sampling set is stable for the set of functions concentrated on $\Omega$. Moreover, we prove with an overwhelming probability that ${\mathcal O}(\mu(\Omega)(\log \mu(\Omega))^3)$ many random points uniformly distributed over $\Omega$ yield a stable set of sampling for functions concentrated on $\Omega$.Comment: 17 page

Ethnobotanical Studies on Timber Resources of Himachal Pradesh (H.P.), India

Timber is one of the most important resources in the life of ethnic communities and villagers. Timber resources are used by the ethnic communities and the villagers for various purposes i.e. house construction, furniture, and agricultural implements; for making walking sticks, musical instruments and packing cases etc. Timber is the most important forest resource along with shelter, food and clothes used by any community in Himachal Pradesh as well as in any part of the country and it has contributed a lot in the development of various civilizations from time immortal. This paper deals with the 61 timber resources of H.P. belonging to 47 genera and 26 families as well as their various uses by the ethnic communities and villagers. The timber resources have been divided in all the three ranges of ‘Himachal Himalayas’

Indigenous Traditional Method for Making Liquid Detergent “Chhoa” from Zea mays Linn. in Shivalik Hills (Himachal Pradesh), India

In the past, herbal liquid detergent was in regular use but with modernization this traditional indigenous knowledge depleted and at present is in use to a limited extent in some rural pockets of Shivalik hills. Dried maize (Zea mays Linn.) stems are burnt to ash and are put into a bamboo basket with a bottom layer of paddy straw. After pouring boiling water over ash, herbal liquid detergent is obtained as a final product. It is eco-friendly and a classic example of sustainability concept

Random Sampling of Mellin Band-limited Signals

In this paper, we address the random sampling problem for the class of Mellin band-limited functions BT which is concentrated on a bounded cube. It is established that any function in BT can be approximated by an element in a finite-dimensional subspace of BT. Utilizing the notion of covering number and Bernstein's inequality to the sum of independent random variables, we prove that the random sampling inequality holds with an overwhelming probability provided the sampling size is large enough

Effects of Row Spacings and Varieties on Grain Yield and Economics of Maize

Maize is the second most important crop of Nepal. The yield of the crop is low due to lack of appropriate plant density for the varieties. The field experiment was carried out to study the effect of different row spacings on different maize varieties at Deupur, Lamahi municipality of the dang district in province No. 5, Nepal during the rainy season from June to September, 2018. Four levels of spacings (boardcasting and three row spacings of 45, 60 and 75 cm) and two maize varieties (Rampur Composite and Arun-2) were evaluated using randomized complete block design with three replications. The highest grain yield was found in Rampur Composite and Arun-2 while they were planted with row spacing of 60 cm with plant to plant spacing of 25 cm. The highest grain yield, cob length, cob circumference, number of rows per cob, thousand grain weight  were reported when maize was planted in the  row spacing 60×25cm. Among the maize varieties, Rampur Composite produced the highest grain yield, cob length, cob circumference, number of rows per cob as compared to Arun-2. This study suggested that maize production can be maximized by cultivating maize varieties with row spacing of 60 cm with plant to plant spacing of 25 cm

Ethnobotanical Studies on Dental Hygiene in District Hamirpur, Himachal Pradesh (H.P.), India

The present study was carried out to assess and document ethnobotanical knowledge of plants of District Hamirpur (H.P.) used for dental care, as the area has diverse flora and high ethnobotanical potential. It was found that 32 different plant species belonging to 24 families were used for dental hygiene. The studies reveal the use of 18 trees, 9 shrubs, 2 under-shrubs and 5 herbs for dental hygiene

Ethnobotanical Studies on Dental Hygiene in District Hamipur, Himachal Pradesh (H.P.), India

The present study was carried out to assess and document ethnobotanical knowledge of plants of District Hamirpur (H.P.) used for dental care, as the area has diverse flora and high ethnobotanical potential. It was found that 32 different plant species belonging to 24 families are used for dental hygiene. The studies reveal the use of 18 trees, 9 shrubs, 2 under-shrubs and 5 herbs for dental hygiene