Basic properties and classification of Mueller matrices derived from their statistical definition

2017 ◽  
Vol 34 (9) ◽  
pp. 1727 ◽  
Author(s):  
Razvigor Ossikovski ◽  
José J. Gil
Author(s):  
F. Cantrijn ◽  
A. Ibort ◽  
M. De León

AbstractA multisymplectic structure on a manifold is defined by a closed differential form with zero characteristic distribution. Starting from the linear case, some of the basic properties of multisymplectic structures are described. Various examples of multisymplectic manifolds are considered, and special attention is paid to the canonical multisymplectic structure living on a bundle of exterior k-forms on a manifold. For a class of multisymplectic manifolds admitting a ‘Lagrangian’ fibration, a general structure theorem is given which, in particular, leads to a classification of these manifolds in terms of a prescribed family of cohomology classes.


2021 ◽  
Vol 18 (4) ◽  
pp. 445-459
Author(s):  
V. I. Balko

The relevance and novelty of the topic of the article is connected with the fact that for the first time the improved classification of the properties of human papillary patterns and their displays and the dynamic trend of expanding the legal base of fingerprint registration in the world are considered. The goal is to systematize the properties of human papillary patterns and their representations. General scientific and special methods were used. The analysis of the literature and the author's practice allow us to identify and consider the following properties of papillary patterns and their mappings, which were divided into three groups for cognitive purposes: their own properties, the properties of mappings, and the properties of the fat-rich substance of the human papillary pattern and its trace. For the first time, the properties of the poly-fat substance of the human papillary pattern and its trace are presented, which is important in view of the trend in the development of complex fingerprint examination. For the first time, the first and second groups are conditionally divided into four subgroups: for solving identification, diagnostic, classification and situational problems. For the first time, the third group is further conditionally divided into four subgroups: according to the interaction of the human body fat with the carrier object; according to the isolation of the human body fat trace; according to the dynamics of the preservation and contrast of the display of the fat-free substance of the human papillary pattern. On the other hand, the properties of papillary patterns themselves are divided into basic properties and properties for solving identification and non-identification problems, respectively. The author's definition of the following concepts is presented: "basic properties of human papillary patterns" and "properties of human papillary patterns", "basic properties of human papillary patterns mappings" and "properties of human papillary patterns mappings", "basic properties of human papillary matter" and "properties of human papillary matter", "basic properties of human papillary matter" and" properties of human papillary matter". This provides an opportunity for specialists and teachers to improve their cognitive and practical activities, and for those responsible and competent for the organization of examinations to consider creating a center for comprehensive fingerprint examination.


Author(s):  
Kristin DeVleming ◽  
David Stapleton

Motivated by the study of rationally connected fibrations, we study different notions of birationally simple fibrations. Our main result is the construction of maximal Chow constant and cohomologically constant fibrations. This paper is largely self-contained and we prove a number of basic properties of these fibrations. One application is to the classification of “rationalizations of singularities of cones.” We also consider consequences for the Chow groups of the generic fiber of a Chow constant fibration.


PEDIATRICS ◽  
1970 ◽  
Vol 46 (1) ◽  
pp. 7-8
Author(s):  
Göran Sterky

The classification of newborn infants according to intra-uterine growth must take into account gestational age as well as birth weight. Also important is the intrauterine growth pattern of the population from which individual and epidemiological data are derived and to which they are to be compared. In constructing a definition of "normal" intra-uterine growth, the only practical approach now seems to be a statistical definition from data on live born infants of supposedly normal pregnancies. In Sweden it has been possible to collect such information from material compiled primarily for forensic purposes. Because the resultant curves have been published only in Swedish1, and because the birth weight at term in Sweden has been said to be the highest so far obtained2, the curves are presented here for readers from other countries. The Swedish National Board of Health instructed all maternity wards to report certain data on all infants born from July 1, 1956, to June 30, 1957. Due to various reasons, some small hospitals could not take part. After an intense correspondence to complete the reports, the material included 92,348 infants (51.7% boys). It was calculated that about 110,000 infants were born in the whole country during the period in question. Stillborn and malformed infants were excluded, as were those born to mothers with clinical diabetes mellitus and toxemia (proteinuria at two separate occasions and/or resting systolic blood pressure above 150 mm Hg). Only single births were included. The material now contained 82,011 infants (51.0% boys). Before constructing the curves, it was also decided that the normal menstrual pattern of the mothers had to be known and had to be regular with intervals within 21 to 35 days.


2015 ◽  
Vol 23 (4) ◽  
pp. 333-349 ◽  
Author(s):  
Christoph Schwarzweller ◽  
Artur Korniłowicz

Summary The notion of the characteristic of rings and its basic properties are formalized [14], [39], [20]. Classification of prime fields in terms of isomorphisms with appropriate fields (ℚ or ℤ/p) are presented. To facilitate reasonings within the field of rational numbers, values of numerators and denominators of basic operations over rationals are computed.


2021 ◽  
Author(s):  
Оleksandr A. Kyrychenko ◽  
◽  
Julia О. Lantsedova ◽  
Tuntula Оleksandra S ◽  

The monograph draws attention to the innovative nature, functions and system of anti-offenses bodies in ensuring the legality in the field of transport and transport technologies. The basic properties of deviant behavior of individuals and the powers of anti-tortists to overcome it are described. An innovative species division of legal facts, offenses and juridical liability in the context of ensuring legality in the field of transport and transport technologies is proposed. An innovative understanding of the reliability of information and their sources as a basis for juridical and other competence in this area is revealed. The basic values of law and the tasks of jurisprudence and other doctrinal basis of the innovative nature of the transport branch of law and code are considered. The essence of the ratio of legal acts in the field of transport and transport technologies by legal force is clarified. The essence of the nature and bases of the transport branch of law according to the innovative classification of juridical sciences on the basis of their basic hypertasks is revealed. An innovative eleven-level procedure for transporting basic and related juridical and other education by carriers is outlined. It can be useful for anyone interested in innovations in jurisprudence and legality in the field of transport and transport technologies.


Leonardo ◽  
2006 ◽  
Vol 39 (1) ◽  
pp. 51-57 ◽  
Author(s):  
György Darvas ◽  
Tamás F. Farkas

The paper presents remarks by a physicist and a graphic artist on an artwork series produced by the artist. They associate the colors and twists represented in these graphics with the properties of subatomic particles—their structures and connections. The authors use graphical representation to visualize the inner structure of atoms, the classification of quarks and the metaphorical names of abstract physical properties. No textbooks that make visible these basic properties by means of art are currently available. Artistic visualization brings these “mysterious” physical objects closer to the understanding of students and the general public and leaves physicists better able to discover new secrets of the internal structure of quarks and their properties.


2007 ◽  
Vol 363 (1490) ◽  
pp. 341-361 ◽  
Author(s):  
Matthew J Paul ◽  
Irving Zucker ◽  
William J Schwartz

Animals have evolved many season-specific behavioural and physiological adaptations that allow them to both cope with and exploit the cyclic annual environment. Two classes of endogenous annual timekeeping mechanisms enable animals to track, anticipate and prepare for the seasons: a timer that measures an interval of several months and a clock that oscillates with a period of approximately a year. Here, we discuss the basic properties and biological substrates of these timekeeping mechanisms, as well as their reliance on, and encoding of environmental cues to accurately time seasonal events. While the separate classification of interval timers and circannual clocks has elucidated important differences in their underlying properties, comparative physiological investigations, especially those regarding seasonal prolactin secretions, hint at the possibility of common substrates.


1966 ◽  
Vol 24 ◽  
pp. 21-23
Author(s):  
Y. Fujita

We have investigated the spectrograms (dispersion: 8Å/mm) in the photographic infrared region fromλ7500 toλ9000 of some carbon stars obtained by the coudé spectrograph of the 74-inch reflector attached to the Okayama Astrophysical Observatory. The names of the stars investigated are listed in Table 1.


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