The phenomena of least area problems

2001 ◽  
pp. 1-13 ◽  
Author(s):  
Frederick Almgren
Keyword(s):  
Least Area

scholarly journals Identifying Dominant Runoff Processes at a Regional Scale – A GIS - Based Approach

2017 ◽  
Vol 11 (2) ◽  
pp. 19-33
Author(s):  
Fagbohun Babatunde Joseph ◽  
Olabode Oluwaseun Franklin ◽  
Adebola Abiodun Olufemi
Keyword(s):  
Overland Flow ◽  
Expert Knowledge ◽  
Regional Scale ◽  
Field Investigation ◽  
Deep Percolation ◽  
Flood Prediction ◽  
Percolation Process ◽  
Least Area ◽  
Expected Increase

Abstract Identifying landscapes with similar hydrological characteristics is useful for the determination of dominant runoff process (DRP) and flood prediction. Several approaches used for DRP-mapping differ in respect to time and data requirement. Manual approaches based on field investigation and expert knowledge are time consuming and difficult to implement at regional scale. Automatic GIS-based approach on the other hand require simplification of data but are easier to implement and it is applicable on regional scale. In this study, GIS-based automated approach was used to identify the DRPs in Anambra area. The result showed that Hortonian Overland Flow (HOF) has the highest coverage of 1508.3 Km2 (33.5%) followed by Deep Percolation (DP) with coverage of 1455.3 Km2 (32.3%). Subsurface Flow (SSF) is the third dominant runoff process covering 920.6 Km2 (20.4%) while Saturated Overland Flow (SOF) covers the least area of 618.4 Km2 (13.7%) of the study area. The result reveal that considerable amount of precipitated water would be infiltrated into the subsurface through deep percolation process contributing to groundwater recharge in the study area. However, it is envisaged that HOF and SOF will continue to increase due to the continuous expansion of built-up area. With the expected increase in HOF and SOF and the change in rainfall pattern associated with perpetual problem of climate change, it is paramount that groundwater conservation practices be considered to ensure continued sustainable utilization of groundwater in the study area.

scholarly journals Minimal hypersurfaces of least area

2017 ◽  
Vol 106 (2) ◽  
pp. 283-316 ◽  
Author(s):  
Laurent Mazet ◽  
Harold Rosenberg
Keyword(s):  
Minimal Hypersurfaces ◽  
Least Area

scholarly journals SPATIAL EVALUATION OF LAND AND SOIL PROPERTIES IN THE EXAMPLE OF NEVŞEHİR PROVINCE, TURKEY

2021 ◽  
Vol 8 (7) ◽  
pp. 90-102
Author(s):  
M. Cüneyt Bagdatlı ◽  
Esra Can
Keyword(s):  
Soil Properties ◽  
Research Area ◽  
Central Anatolia ◽  
Land Uses ◽  
Arc Gis ◽  
Dry Farming ◽  
Gis Software ◽  
Least Area ◽  
Large Soil ◽  
Soil Groups

In this study, some land and soil properties were spatially evaluated with the help of 1/25.000 scaled digital soil maps belonging to Center of province in the Central Anatolia Region, Turkey. Land use capability, large soil groups, soil depths, erosion, slope and spatial distributions of current land uses were carried out in the research. Arc GIS 10.3.1 software, which is one of the Geographic Information Systems (GIS) software, was used for spatial analysis. With a maximum of 262518 in the study area, VI. class lands. Class I cover an area of ​​247 . In terms of large soil groups, and soils are dominant and the area covered by these soils is 450187 . The least area was found to be reddish brown soils with 124 . It has been determined that the least area in the depth classes is A class (greater than 150 cm) soils. In the study area, it is the soil with the maximum C class (50-90 cm) depth. When the land was examined in terms of slope, it was determined that the land with the highest 3rd degree slope (12-20%) was formed. The research area consists of soil structure that can be exposed to the 2nd degree erosion class at most. When the current land uses are examined, it is the garden area with the least usage area in the region and the area it covers is 3400 . It has been observed that the most dry farming areas are located in the study area. It is thought that the results obtained as a result of the study will be the basis for the agricultural studies to be carried out in Center of province.

scholarly journals Least area incompressible surfaces in 3-manifolds

1983 ◽  
Vol 71 (3) ◽  
pp. 609-642 ◽  
Author(s):  
Michael Freedman ◽  
Joel Hass ◽  
Peter Scott
Keyword(s):  
Incompressible Surfaces ◽  
Least Area

scholarly journals FPGA Modeling and Optimization of a SIMON Lightweight Block Cipher

Sensors ◽  
2019 ◽  
Vol 19 (4) ◽  
pp. 913 ◽  
Author(s):  
Sa’ed Abed ◽  
Reem Jaffal ◽  
Bassam Mohd ◽  
Mohammad Alshayeji
Keyword(s):  
Block Cipher ◽  
Sensitive Data ◽  
Hardware Implementations ◽  
Balancing Energy ◽  
Field Programmable ◽  
Constrained Environments ◽  
Continuous Stream ◽  
Lightweight Block Cipher ◽  
The One ◽  
Least Area

Security of sensitive data exchanged between devices is essential. Low-resource devices (LRDs), designed for constrained environments, are increasingly becoming ubiquitous. Lightweight block ciphers provide confidentiality for LRDs by balancing the required security with minimal resource overhead. SIMON is a lightweight block cipher targeted for hardware implementations. The objective of this research is to implement, optimize, and model SIMON cipher design for LRDs, with an emphasis on energy and power, which are critical metrics for LRDs. Various implementations use field-programmable gate array (FPGA) technology. Two types of design implementations are examined: scalar and pipelined. Results show that scalar implementations require 39% less resources and 45% less power consumption. The pipelined implementations demonstrate 12 times the throughput and consume 31% less energy. Moreover, the most energy-efficient and optimum design is a two-round pipelined implementation, which consumes 31% of the best scalar’s implementation energy. The scalar design that consumes the least energy is a four-round implementation. The scalar design that uses the least area and power is the one-round implementation. Balancing energy and area, the two-round pipelined implementation is optimal for a continuous stream of data. One-round and two-round scalar implementations are recommended for intermittent data applications.

scholarly journals Ontogenetic structure of lichen populations as the index of the condition of the urbanized territories

2019 ◽  
Vol 138 ◽  
pp. 01023
Author(s):  
Valentina Il’ina ◽  
Anna Mitroshenkova ◽  
Irina Nalivayko ◽  
Ludmila Husnutdinova
Keyword(s):  
Environmental Pollution ◽  
Tree Species ◽  
Tree Mortality ◽  
Population Monitoring ◽  
Ulmus Pumila ◽  
Ontogenetic Structure ◽  
Xanthoria Parietina ◽  
The City ◽  
Least Area ◽  
Lichen Indication

The results of population monitoring in lichen indication promote the detection of resistance of lichen species to the pollution of environment. The population of Xanthoria parietina (L.) Th. Fr. on the territory of the city of Samara and in the neighborhood of the Bolshaya Glushitsa settlement (Bolsheglushitsky district, Samara region) (Russia) were studied. For identification of ontogenetic conditions of talluses, the approaches and a nomenclature of population and ontogenetic researches of Magnoliophyta were used. Taking into account the exposition, the projective cover of Ulmus pumila trunks with Xanthoria parietina talluses was revealed. On Ulmus pumila tree stems in the Bolshechernigovsky municipal district of Samara region the prevailing ontogenetic group in populations of Xanthoria parietina is young generative group, within the city it is mature generative group. Talluses in the same course of ontogenetic development have the least area, and then, the vitality, on the western part of a trunk, and the greatest on the south side. At the same time the vital level of tallus directly depends on the level of environmental pollution. The decrease in the number of talluses is related to indexes of density, illumination, natural tree mortality, cuttings, fires, diseases of tree species.

Computing Least Area Hypersurfaces Spanning Arbitrary Boundaries

1997 ◽  
Vol 18 (3) ◽  
pp. 886-917 ◽  
Author(s):  
Harold R. Parks ◽  
Jon T. Pitts
Keyword(s):  
Least Area

scholarly journals Existence of least area planes in hyperbolic 3-space with co-compact metric

Topology ◽  
2004 ◽  
Vol 43 (3) ◽  
pp. 705-716 ◽  
Author(s):  
Teruhiko Soma
Keyword(s):  
Least Area
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