scholarly journals Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms

2020 ◽  
Vol 18 (1) ◽  
pp. 1064-1075
Author(s):  
Xia Zhao ◽  
Weidong Wang ◽  
Youjiang Lin
Keyword(s):  
Negative Answer ◽  
Positive Form ◽  
Dual Quermassintegrals ◽  
Monotonic Inequality ◽  
Star Bodies

Abstract In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial Blaschke-Minkowski homomorphisms. In addition, we consider its Shephard-type problems and give a positive form and a negative answer, respectively.

Singularities

2018 ◽  
Author(s):  
S. G. Rajeev
Keyword(s):  
Stokes Equations ◽  
Negative Answer ◽  
Three Dimensions ◽  
Picard Iteration ◽  
Navier Stokes ◽  
Scale Invariant ◽  
Navier Stokes Equations ◽  
L2 Norm ◽  
Two Dimensional Flow ◽  
Physical Consequences

The initial value problem of the incompressible Navier–Stokes equations is explained. Leray’s classic study of it (using Picard iteration) is simplified and described in the language of physics. The ideas of Lebesgue and Sobolev norms are explained. The L2 norm being the energy, cannot increase. This gives sufficient control to establish existence, regularity and uniqueness in two-dimensional flow. The L3 norm is not guaranteed to decrease, so this strategy fails in three dimensions. Leray’s proof of regularity for a finite time is outlined. His attempts to construct a scale-invariant singular solution, and modern work showing this is impossible, are then explained. The physical consequences of a negative answer to the regularity of Navier–Stokes solutions are explained. This chapter is meant as an introduction, for physicists, to a difficult field of analysis.

Toward Peace

2020 ◽  
Vol 34 (1) ◽  
pp. 77-84
Author(s):  
A. C. Grayling
Keyword(s):  
Global Scale ◽  
Military Expenditure ◽  
World Peace ◽  
Cultural Understanding ◽  
Positive Form ◽  
Ideal State

AbstractAs part of the roundtable “World Peace (And How We Can Achieve It),” this essay argues that an ideal state of peace might not be attainable, but a positive form of peace could be achieved on a global scale if states and peoples made a serious investment—comparable to their investment in military expenditure—in promoting the kind of mutual cultural understanding that reduces tensions and divisions and fosters cooperation. Peacemaking usually focuses on diplomatic and military détente; the argument in this essay is that these endeavors, though obviously important, are not by themselves enough for the best attainable kind of peace, for which the further and even more important aim of cultural entente is essential. This implies that peacemaking activities need to apply vastly more effort to intercultural and interpersonal exchange and education.

Where did Italian peasants live?

1979 ◽  
Vol 25 ◽  
pp. 1-25 ◽  
Author(s):  
P.D.A. Garnsey
Keyword(s):  
Characteristic Feature ◽  
Rural Economy ◽  
Negative Answer ◽  
Second Century ◽  
Small Farmers ◽  
Scholarly Literature ◽  
Wage Labour ◽  
Economic Forces ◽  
Tenant Farmers ◽  
The Impact

Until recently this was a question that was not asked. It was not asked because there was a prior question that was asked, and that received a negative answer: Did peasant proprietors survive in significant numbers in the late Republic or early Empire?The consensus of opinion has been that they were always to be found, but that they were relatively few. As the traditional rural economy of which they had been the characteristic feature gave way under the impact of new economic forces, they became a residual phenomenon. Moreover, this development had already occurred by the late second century B.C.It is to be noted that peasant proprietors, small farmers working the land they owned, rather than free cultivators as a whole, have usually been the object of inquiry. The roles of tenancy in the late Republic and of wage labour in all periods have rarely been positively evaluated. Again, the idea that small ownercultivators, tenant-farmers and day-labourers were overlapping categories in ancient Italy has been little developed in the scholarly literature.

Reliability, Validity, and Factor Structure of the Geriatric Depression Scale in Turkish Elderly: Are There Different Factor Structures for Different Cultures?

2000 ◽  
Vol 12 (2) ◽  
pp. 163-172 ◽  
Author(s):  
Turan Ertan ◽  
Engin Eker
Keyword(s):  
Factor Structure ◽  
Internal Consistency ◽  
Discriminant Validity ◽  
Geriatric Depression Scale ◽  
Depression Scale ◽  
Principal Component ◽  
Community Dwelling ◽  
Geriatric Depression ◽  
Reasonable Time ◽  
Positive Form

The purpose of this study was to examine the Geriatric Depression Scale (GDS) translated into Turkish for its reliability, discriminant validity, and factor structure in a sample of 276 community-dwelling elderly and 30 patients with major depression. One item (Item 5) was discovered to have conceptual difficulty for Turkish elderly and was transformed to negative form. Item 2 was transformed to positive form to keep the number of positive and negative items equal to that in the original GDS. A reasonable time stability with 1-week interval (r:.74) and a high level of internal consistency (α = .91) were observed. Student's t test resulted in a significant discriminant validity for the scale total score. Factor study with principal component analysis and varimax rotation gave rise to a structure with seven factors. Results of the same analysis with two factors were found to be easier to interpret. The first factor was composed of 19 items reflecting “depressive affect and thought content.” The other 11 items representing “decrease in motivation and cognitive functions” loaded in the second factor. In conclusion, the Turkish GDS was found to have reasonable time reliability, high internal consistency, and discriminant validity for Turkish elderly. Its two-factor structure can be used as an informative instrument for epidemiological studies, reflecting two main dimensions of depression in the elderly.

scholarly journals KHINTCHINE'S THEOREM AND TRANSFERENCE PRINCIPLE FOR STAR BODIES

2006 ◽  
Vol 02 (03) ◽  
pp. 431-453
Author(s):  
M. M. DODSON ◽  
S. KRISTENSEN
Keyword(s):  
Distance Function ◽  
Diophantine Approximation ◽  
Direct Proof ◽  
Distance Functions ◽  
Transference Principle ◽  
Simultaneous Diophantine Approximation ◽  
Star Bodies

Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved with the classical height replaced by fairly general planar distance functions or equivalently star bodies. Khintchine's transference principle is discussed for distance functions and a direct proof for the multiplicative version is given. A transference principle is also established for a different distance function.

DEAP-HUS: Deficiency of CFHR plasma proteins and autoantibody-positive form of hemolytic uremic syndrome

2010 ◽  
Vol 25 (10) ◽  
pp. 2009-2019 ◽  
Author(s):  
Peter F. Zipfel ◽  
◽  
Christoph Mache ◽  
Dominik Müller ◽  
Christoph Licht ◽  
...  
Keyword(s):  
Hemolytic Uremic Syndrome ◽  
Plasma Proteins ◽  
Positive Form ◽  
Uremic Syndrome

Kallikrein blood system in acute respiratory diseases with bronchial obstruction syndrome in children

1982 ◽  
Vol 63 (4) ◽  
pp. 26-29
Author(s):  
V. A. Anokhin
Keyword(s):  
Respiratory Tract ◽  
Respiratory Diseases ◽  
Inhibitory Effect ◽  
Negative Answer ◽  
Blood System ◽  
Pulmonary Mechanics ◽  
Bronchial Obstruction ◽  
Ciliated Epithelium ◽  
Kinin System ◽  
Acute Respiratory Diseases

The activation of the kinin system of the blood in diseases of the respiratory system leads to an increase in the inflammatory response in the respiratory tract, causes bronchospasm to a large extent, and has an inhibitory effect on the function of the ciliated epithelium. There are no unequivocal judgments about the therapeutic effect of prednisolone in obstructive bronchitis and bronchiolitis in the literature. There is a negative answer to this question. At the same time, the beneficial effect of corticosteroids on pulmonary mechanics in bronchiolitis was noted.

A Massive System of Microtubules Associated with Cytoplasmic Movement in Telotrophic Ovarioles

1970 ◽  
Vol 6 (2) ◽  
pp. 431-449
Author(s):  
H. C. MACGREGOR ◽  
H. STEBBINGS
Keyword(s):  
Electron Micrographs ◽  
Thin Sections ◽  
Positive Form ◽  
Form Birefringence ◽  
Terminal Filament ◽  
Telotrophic Ovary ◽  
Oocyte Cytoplasm ◽  
Heavy Labelling

The telotrophic ovary of Notonecta glauca glauca consists of 7 ovarioles. Each ovariole comprises, from front to rear, a terminal filament, a trophic region, a prefollicular region, and a series of 10-15 follicles of progressively increasing size The trophic region is largely syncytial and is made up of polyploid trophic nuclei packed around a central trophic core The cytoplasm of the trophic core is continuous with the cytoplasm of each oocyte through a system of trophic tubes. There is one trophic tube per oocyte. The trophic nuclei have large nucleoli. There are a few small nucleoli in the oocyte nuclei The cytoplasm of the trophic core, the trophic tubes, and the oocytes is rich in RNA. Autoradiographs of sections of ovarioles fixed 2 h after injection of [3H]uridine into animals show label over the trophic nuclei only. Eight-hour autoradiographs show heavy labelling of the trophic region and label over the front ends of the trophic tubes, but little label over the posterior regions of the tubes or the oocyte cytoplasm. Later autoradiographs mdicate that label gradually spreads backwards from the trophic core, along the trophic tubes, and progressively builds up in the oocyte cytoplasm These observations are thought to indicate synthesis of RNA in the trophic region and movement of RNA from the trophic core along the trophic tubes to the oocytes The trophic core and tubes show brilliant positive form birefringence with respect to their lengths. This birefringence can be reduced by keeping animals at 2 °C for 12 h, and eliminated by placing ovarioles in 1 % colchicine for 6 h. Electron micrographs of thin sections of ovarioles show that trophic core and tubes are densely and uniformly packed with ribosomes and microtubules The latter are lined up along the trophic tubes. There are about 30000 microtubules evident in a TS through a trophic tube 15µm wide. Lengths of microtubules up to 2µm have been observed. Ribosomes are packed between the microtubules but are excluded from regions where the spacing between adjacent microtubules is less than 25 nm The contribution of the trophic region to the oocytes and the role of the microtubules in maintaining or facilitating the movement of ribosomes along the trophic tubes is discussed

Why Perfect Tests May Not Be Worth Waiting For: Information as a Commodity

2021 ◽  
Author(s):  
K. Drakopoulos ◽  
R. S. Randhawa
Keyword(s):  
Operations Management ◽  
Heterogeneous Agents ◽  
Negative Answer ◽  
Social Planner ◽  
Test Accuracy ◽  
Medical Testing ◽  
Additional Information ◽  
Course Of Action ◽  
Information Products ◽  
Limited Supply

Information products provide agents with additional information that can be used to update actions. In many situations, access to such products can be quite limited. For instance, in epidemics, there tends to be a limited supply of medical testing kits, or tests. These tests are information products because their output of a positive or a negative answer informs individuals and authorities on the underlying state and the appropriate course of action. In this paper, using an analytical model, we show how the accuracy of a test in detecting the underlying state affects the demand for the information product differentially across heterogeneous agents. Correspondingly, the test accuracy can serve as a rationing device to ensure that the limited supply of information products is appropriately allocated to the heterogeneous agents. When test availability is low and the social planner is unable to allocate tests in a targeted manner to the agents, we find that moderately good tests can outperform perfect tests in terms of social outcome. This paper was accepted by Charles Corbett, operations management.

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