scholarly journals The length and area principle for a function on an abstract surface over a domain of a Carnot group

2021 ◽  
Vol 18 (2) ◽  
pp. 1720-1734
Author(s):  
M. V. Tryamkin
Keyword(s):  
Carnot Group ◽  
Length And Area

scholarly journals Empirical α–β runout modelling of snow avalanches in the Catalan Pyrenees

2021 ◽  
pp. 1-12
Author(s):  
Pere Oller ◽  
Cristina Baeza ◽  
Glòria Furdada
Keyword(s):  
Comparative Analysis ◽  
Regression Model ◽  
Extreme Values ◽  
Multiple Linear Regression Model ◽  
Present Knowledge ◽  
Snow Avalanches ◽  
Independent Variables ◽  
Horizontal Length ◽  
Length And Area ◽  
Runout Modelling

Abstract A variation in the α−β model which is a regression model that allows a deterministic prediction of the extreme runout to be expected in a given path, was applied for calculating avalanche runout in the Catalan Pyrenees. Present knowledge of major avalanche activity in this region and current mapping tools were used. The model was derived using a dataset of 97 ‘extreme’ avalanches that occurred from the end of 19th century to the beginning of 21st century. A multiple linear regression model was obtained using three independent variables: inclination of the avalanche path, horizontal length and area of the starting zone, with a good fit of the function (R2 = 0.81). A larger starting zone increases the runout and a larger length of the path reduces the runout. The new updated equation predicts avalanche runout for a return period of ~100 years. To study which terrain variables explain the extreme values of the avalanche dataset, a comparative analysis of variables that influence a longer or shorter runout was performed. The most extreme avalanches were treated. The size of the avalanche path and the aspect of the starting zone showed certain association between avalanches with longer or shorter runouts.

UNITS OF LENGTH AND AREA, III

1942 ◽  
Vol 6 (44) ◽  
pp. 339-340
Author(s):  
Keyword(s):  
Length And Area

scholarly journals Spectra of length and area in (2   1) Lorentzian loop quantum gravity

2003 ◽  
Vol 20 (8) ◽  
pp. 1463-1478 ◽  
Author(s):  
Laurent Freidel ◽  
Etera R Livine ◽  
Carlo Rovelli
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Length And Area

Comparative analysis of productive qualities of Sables without gray hair and with different degrees of gray hair in JSC «Plemzverosovkhoz» Saltykovsky»

2020 ◽  
Vol 1 (4) ◽  
pp. 63-67
Author(s):  
N. N. Shumilina ◽  
◽  
E. E. Larina ◽  
Keyword(s):  
Comparative Analysis ◽  
Entire Range ◽  
Comparative Assessment ◽  
Positive Correlation ◽  
Gray Hair ◽  
In Captivity ◽  
Males And Females ◽  
Length And Area ◽  
Common Defect

The pride of Russia has always been sable. Sable is unique not only in the quality of its fur, but also in the fact that almost the entire range of its habitat is located on the territory of our country. It was in our country that this animal was first bred in captivity. In this regard, Russia has long had a monopoly on the production of sable skins. In 1969, the black sable breed was approved, and in 1998, the «Saltykov» type of sable was approved. JSC «Saltykovsky Breeding farm» has created a unique herd of dark Sables with evenly spaced gray hair, the skins of which are valued at auctions by 10–30% more expensive [2]. The article presents the results of a comparative assessment of the productive qualities of Sables without gray hair and with different degrees of gray created in JSC «Plemzverosovkhoz » Saltykovsky» livestock. As a result of the analysis, it was found that Sables with gray hair have higher bonitirovki scores (more than 50%). Analyzing the indicators of bonitirovki in males and females with different degrees of gray hair, it was found that the quality of pubescence and color of males with bright gray hair is significantly superior to individuals without gray hair, the same trend is observed in females. In addition, a positive correlation was found (0,79) between the weight of skins in grams, their length and area both in Sables without gray hair, and in individuals with different degrees of gray hair. The most common defect on skins without gray hair is soaking.

Universal inequalities for a horizontal Laplacian version of the clamped plate problem on Carnot group

2017 ◽  
Vol 37 (5) ◽  
pp. 1536-1544
Author(s):  
Feng DU ◽  
Chuanxi WU ◽  
Guanghan LI ◽  
Changyu XIA
Keyword(s):  
Carnot Group ◽  
Clamped Plate ◽  
Universal Inequalities

Microscopic vs. macroscopic deformation of the pulmonary alveolar duct

1992 ◽  
Vol 72 (4) ◽  
pp. 1348-1354 ◽  
Author(s):  
D. Yager ◽  
H. Feldman ◽  
Y. C. Fung
Keyword(s):  
Human Lung ◽  
Lung Parenchyma ◽  
Stretch Ratio ◽  
Area Ratio ◽  
Force Balance ◽  
Load Carrying ◽  
Macroscopic Deformation ◽  
Alveolar Duct ◽  
Deformed State ◽  
Length And Area

The stretch of the perimeters of alveolar ducts was measured at the surface of saline-filled specimens of human and dog lung parenchyma that were stretched biaxially. The microscopic stretch of these ducts was measured at several levels of isotropic biaxial macroscopic stretch of the parenchyma with stretch ratio (lambda x = lambda y) in the range of 1.20–1.40, which roughly corresponds to tidal breathing in humans and dogs. Alveolar walls were found to be load-carrying elements in the saline-filled lung, as seen by their straightness at all levels of stretch. Quantitatively, let l, A, L, and S denote, respectively, the duct perimeter length and area and the parenchymal target perimeter and area in the deformed state and lo, Ao, Lo, and So the corresponding variables in the undeformed state. The microscopic stretch ratio of the ducts (l/lo) was found to be approximately 4% larger than the macroscopic stretch ratio (L/Lo) in human lung and approximately 10% larger in dog lung. The microscopic area ratio of the ducts (A/Ao) was found to be approximately 10% larger than the macroscopic area ratio (S/So) in human lung and approximately 22% larger in dog lung. Ducts within human parenchyma were seen to be about twice as stiff as ducts within dog parenchyma over the range of macroscopic stretch studied. This correlates with the volume fractions of collagen and elastin being higher in the human lung than in dog lung. The observed nonuniformity in strain field at the microstructural level suggests the need to include a force balance between alveolar ducts and septal walls when modeling the mechanics of saline-filled parenchyma.

Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group

2019 ◽  
Vol 30 (6) ◽  
pp. 453-470 ◽  
Author(s):  
Vagif Guliyev ◽  
Ismail Ekincioglu ◽  
Esra Kaya ◽  
Zaman Safarov
Keyword(s):  
Carnot Group ◽  
Morrey Spaces ◽  
Generalized Morrey Spaces

scholarly journals Allocation of added selenium in lettuce and its impact on roots

2003 ◽  
Vol 12 (3-4) ◽  
pp. 155-164 ◽  
Author(s):  
A. SIMOJOKI ◽  
T. XUE ◽  
K. LUKKARI
Keyword(s):  
Root Morphology ◽  
Specific Volume ◽  
Dry Matter ◽  
Lateral Roots ◽  
Large Scatter ◽  
Growth Responses ◽  
Endogenous Ethylene ◽  
Morphological Variables ◽  
Length And Area ◽  
Growing Conditions

Allocation of selenium (Se) in lettuce and its impact on root morphology were studied to better understand the growth responses of plants to added Se. Lettuce was grown in vermiculite under controlled growing conditions for seven weeks, and the allocation in the shoots and roots of selenate added in increasing dosages (0, 1, 10, 100, 500 and 1000 µg Se per 3.5-litre pot) as well as morphological variables of the roots were determined. The intermediate additions of 100 and 500 µg Se per pot seemed to produce the highest biomasses, although this was nearly masked by large scatter in the data. The Se contents both in roots and shoots increased roughly proportionally to the amount of Se added. However, at small additions Se was preferentially allocated to roots, whereas at larger additions the contents in roots and shoots (mg kg-1 dry matter) were roughly equal. Se treatments did not change the morphology of hypocotyls. On the contrary, the specific length and area of basal and lateral roots were smallest at intermediate Se additions, whereas the specific volume was largest at the largest Se addition. These effects of Se on root morphology were, however, not unambiguously related to plant growth. As the Se contents in roots increased, the roots grew thicker and the specific volume of lateral roots increased in agreement with a hypothesis of increased endogenous ethylene production.;

scholarly journals A new glacier inventory on southern Baffin Island, Canada, from ASTER data: I. Applied methods, challenges and solutions

2009 ◽  
Vol 50 (53) ◽  
pp. 11-21 ◽  
Author(s):  
Felix Svoboda ◽  
Frank Paul
Keyword(s):  
Climate Change Impacts ◽  
Ice Age ◽  
Baffin Island ◽  
Glacier Inventory ◽  
Ice Caps ◽  
Digital Elevation ◽  
Glacier Length ◽  
Length And Area ◽  
Shortwave Infrared ◽  
Glacier Mapping

AbstractThe quantitative assessment of glacier changes as well as improved modeling of climate-change impacts on glaciers requires digital vector outlines of individual glacier entities. Unfortunately, such a glacier inventory is still lacking in many remote but extensively glacierized gions such as the Canadian Arctic. Multispectral satellite data in combination with digital elevation models (DEMs) a particularly useful for creating detailed glacier inventory data including topographic information for each entity. In this study, we extracted glacier outlines and a DEM using two adjacent Terra ASTER scenes acquired in August 2000 for a remote region on southern Baffin Island, Canada. Additionally, Little Ice Age (LIA) extents we digitized from trimlines and moraines visible on the ASTER scenes, and Landsat MSS and TM scenes from the years 1975 and 1990 we used to assess changes in glacier length and area. Because automated delineation of glaciers is based on a band in the shortwave infrared, we have developed a new semi-automated glacier-mapping approach for the MSS sensor. Wrongly classified debris-coved glaciers, water bodies and attached snowfields we corrected manually for both ASTER and MSS. Glacier drainage divides we manually digitized by combining visual interptation with DEM information. In this first paper, we describe the applied methods for glacier mapping and the glaciological challenges encounted (e.g. data voids, snow cover, ice caps, tributaries), while the second paper ports the data analyses and the derived changes.

scholarly journals Unravelling the evolution of Zmuttgletscher and its debris cover since the end of the Little Ice Age

2019 ◽  
Vol 13 (7) ◽  
pp. 1889-1909 ◽  
Author(s):  
Nico Mölg ◽  
Tobias Bolch ◽  
Andrea Walter ◽  
Andreas Vieli
Keyword(s):  
Mass Balance ◽  
Ice Age ◽  
Aerial Photographs ◽  
Dynamic Interactions ◽  
Glacier Surface ◽  
Ablation Area ◽  
Debris Cover ◽  
Historic Maps ◽  
Length And Area ◽  
Flow Velocities

Abstract. Debris-covered glaciers generally exhibit large, gently sloping, slow-flowing tongues. At present, many of these glaciers show high thinning rates despite thick debris cover. Due to the lack of observations, most existing studies have neglected the dynamic interactions between debris cover and glacier evolution over longer time periods. The main aim of this study is to reveal such interactions by reconstructing changes of debris cover, glacier geometry, flow velocities, and surface features of Zmuttgletscher (Switzerland), based on historic maps, satellite images, aerial photographs, and field observations. We show that debris cover extent has increased from ∼13 % to ∼32 % of the total glacier surface since 1859 and that in 2017 the debris is sufficiently thick to reduce ablation compared to bare ice over much of the ablation area. Despite the debris cover, the glacier-wide mass balance of Zmuttgletscher is comparable to that of debris-free glaciers located in similar settings, whereas changes in length and area have been small and delayed by comparison. Increased ice mass input in the 1970s and 1980s resulted in a temporary velocity increase, which led to a local decrease in debris cover extent, a lowering of the upper boundary of the ice-cliff zone, and a strong reduction in ice-cliff area, indicating a dynamic link between flow velocities, debris cover, and surface morphology. Since 2005, the lowermost 1.5 km of the glacier has been quasi-stagnant, despite a slight increase in the surface slope of the glacier tongue. We conclude that the long-term glacier-wide mass balance is mainly governed by climate. The debris cover governs the spatial pattern of elevation change without changing its glacier-wide magnitude, which we explain by the extended ablation area and the enhanced thinning in regions with thin debris further up-glacier and in areas with abundant meltwater channels and ice cliffs. At the same time rising temperatures lead to increasing debris cover and decreasing ice flux, thereby attenuating length and area losses.

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