2,275 research outputs found
Chow Theorem and structure of Carnot-Caratheodory balls
No full textopenThis thesis is meant to be a study on the role of the C-C metrics in the Chow theorem and on the structure of C-C balls.
It opens with a section in which we give the definitions of vector field and bracket and we state the properties of the latter.
Then we give the definition of the most important object of this work: the Carnot-Caratheodory metrics and we state some basic propositions on its behavior, hinting also to some metrics which are equivalent to it.
We now proceed giving preliminary notions about exponential maps on a compact set of R^n, we state the Campbell-Hausdorff formula for two smooth vector fields and we introduce an object defined as a composition of exponentials E(J,t).
We finally state the Chow theorem for m smooth vector fields in R^n satisfying the Chow-Hoermander condition. We prove it using the Campbell-Hausdorff formula and defining through E(J,t) n approximated exponential maps whose composition provides us with a local diffeomorphism.
This theorem is particularly important because it tells us that under Chow-Hoermander condition we can regain directions that would be otherwise prohibited.
We introduce the doubling metric spaces and in particular we state a theorem on the structure of C-C balls: the Nagel-Stein-Wainger theorem, which provides us with the size of the C-C balls and tells us they are represented as the image of rectangles under the exponential map.
At last, we close this work with a variant of the structure theorem.This thesis is meant to be a study on the role of the C-C metrics in the Chow theorem and on the structure of C-C balls.
It opens with a section in which we give the definitions of vector field and bracket and we state the properties of the latter.
Then we give the definition of the most important object of this work: the Carnot-Caratheodory metrics and we state some basic propositions on its behavior, hinting also to some metrics which are equivalent to it.
We now proceed giving preliminary notions about exponential maps on a compact set of R^n, we state the Campbell-Hausdorff formula for two smooth vector fields and we introduce an object defined as a composition of exponentials E(J,t).
We finally state the Chow theorem for m smooth vector fields in R^n satisfying the Chow-Hoermander condition. We prove it using the Campbell-Hausdorff formula and defining through E(J,t) n approximated exponential maps whose composition provides us with a local diffeomorphism.
This theorem is particularly important because it tells us that under Chow-Hoermander condition we can regain directions that would be otherwise prohibited.
We introduce the doubling metric spaces and in particular we state a theorem on the structure of C-C balls: the Nagel-Stein-Wainger theorem, which provides us with the size of the C-C balls and tells us they are represented as the image of rectangles under the exponential map.
At last, we close this work with a variant of the structure theorem
Body mass from chow, HFD and HFD DM+ mice during 8 month of analysis.
No full textBody mass from chow, HFD and HFD DM+ mice during 8 month of analysis.</p
Urban heat island research in Phoenix, Arizona: Theoretical contributions and policy applications
No full textabstract: This review investigates the possible reasons and motivations underpinning the large body of work, as well as summarizing specific themes, approaches, and theoretical contributions arising from such study.Corresponding Author:
Winston T. L. Chow
Arizona State University
[email protected]
On Chow weight structures for cdh-motives with integral coeffcients
No full textThe main goal of this paper is to define a certain {\it Chow weight
structure} on the category
of (constructible) -motives over an equicharacteristic
scheme . In contrast to the
previous papers of D.~H\'ebert and the first author on weights for
relative motives (with rational coefficients), we can achieve our goal for motives
with integral coefficients (if ; if then we
consider motives with -coefficients). We prove that the
properties of the Chow weight structures that were previously
established for -linear motives can be carried over to this "integral"
context (and we generalize some of them using certain new methods). In this paper we mostly study
the version of defined via "gluing from strata"; this enables
us to define Chow weight structures for a wide class of base schemes.
As a consequence, we certainly obtain certain (Chow)-weight spectral
sequences and filtrations on any (co)homology of motives.The work is supported by RFBR (grants no. 14-01-00393A and 15-01-03034A). The first author is also grateful to the Dmitry Zimin's Foundation "Dynasty"
Misja salezjańska Chiu Chow w Chinach
No full textThis article tells the story of Shiu Chow\u27s Salesian Mission in China (1918–1951), became Apostolic Vicariate (1920) and then diocese (1948). The Mission had lived a enormous development under the three Salesian bishops: Msgr. Versiglia (1918–1930), first Vicar Apostolic and Salesian protomartyr, Monk. Canazei (1930–1946), the Inspector in China and then Vicar Apostolic of Shiu Chow, Msgr. Arduino (1948–1951), director of the Salesian schools in Shanghai and first bishop of the diocese of Shiu Chow. Thriving mission activity and development closes the expulsion of the Salesian missionaries, the FMA nuns and Msgr. Arduino (December 2, 1951) from China from the Communists. The last part is dedicated to the Polish Salesian missionaries working in Shiu Chow Mission: coad. J. Urban, Ps. W. Spinek, sac. T. Szeliga, priest W. Wieczorek. The material for the article I found in the books of don. M. Rassiga, missionary and chronicler of Shiu Chow mission, I kindly offers to the author himself.Ten artykuł opowiada historię misji salezjańskiej Shiu Chow w Chinach (1918–1951), został wikariatem apostolskim (1920), a następnie diecezją (1948). Misja żyła a ogromny rozwój pod rządami trzech biskupów salezjańskich: ks. Versiglia (1918-1930), pierwszy wikariusz Pierwszy męczennik apostolski i salezjański, ks. Canazei (1930–1946), inspektor w Chinach, a następnie wikariusz Apostolski Shiu Chow, ks. Arduino (1948-1951), dyrektor szkół salezjańskich w Szanghaju i pierwszy biskup diecezji Shiu Chow. Prężnie rozwijająca się działalność i rozwój misji dobiegają końca wypędzenie salezjanów misjonarzy, sióstr CMW i ks. Arduino (2 grudnia 1951) od Chiny od komunistów. Ostatnia część poświęcona jest polskim misjonarzom salezjańskim pracującym w Polsce Misja Shiu Chow: dowódca. J. Urban, Ps. W. Spinek, sac. T. Szeligi, ks W. Wieczorek. The materiał do artykułu znalazłem w księgach dona. M. Rassiga, misjonarz i kronikarz Misję Shiu Chow, uprzejmie ofiarowuję samemu autorowi
Livonia Chow Mein
No full textLivonia Chow Mein tells the story of a Chinese American restaurant-owning family in Brownsville, Brooklyn over the course of four generations and as the neighborhood faces urban renewal, white flight, ghettoization and gentrification. Restaurant owner Chin Koon Lai ambitions to raise his village out of poverty, but he finds his aims frustrated by China's political upheaval and Brownsville's transformation. His son Richard longs for acceptance from his Jewish peers and for his own chance at the American Dream, but his struggles cause him to scapegoat his Black and Puerto Rican neighbors—and to make a terrible mistake with ramifications for all of Brownsville. Richard’s son Jason, in an effort to flout society's expectations, throws himself into the bohemian counterculture of the 1970s, but he eventually finds himself an unwilling participant in Brooklyn's gentrification. Jason’s half-white daughter Sadie returns to Brownsville as a journalist and desires to be perceived as a “person of color” but must confront the ways both she and her ancestors have perpetuated anti-Blackness. Meanwhile, activist and artist Letitia Rodriguez Armstrong, a tenant of Richard Chin's, wages a lifelong fight for community control that first challenges and then remakes the Chins. Livonia Chow Mein is thus also the story of Letitia's struggle to become a better activist and to remain resilient in the face of structural racism and systemic violence. The book depicts urban policy in Brooklyn over the course of the 20th century and explores the relationships between Jewish, Black, and Chinese communities in the borough.M.F.A.Includes bibliographical reference
Serum androgens as a continuing index of adequacy of treatment of congenital adrenal hyperplasia.
No full textOn the algebraicity of projective analytic varieties
No full textopenScopo principale di questa tesi è dimostrare il teorema di Chow per sottovarietà analitiche chiuse e lisce dello spazio proiettivo complesso, attraverso uno studio del campo delle funzioni meromorfe su una varietà complessa compatta. Tale risultato si inquadra nella questione più generale dell'algebricità delle varietà analitiche, di cui viene fornita un'introduzione. L'elaborato procede infine con una trattazione specifica del caso delle superfici di Riemann compatte e in particolare dei tori complessi
Multigraded Cayley-Chow Forms
No full textWe introduce a theory of multigraded Cayley-Chow forms associated to subvarieties of products of projective spaces. Two new phenomena arise: first, the construction turns out to require certain inequalities on the dimensions of projections; and second, in positive characteristic the multigraded Cayley-Chow forms can have higher multiplicities. The theory also provides a natural framework for understanding multifocal tensors in computer vision
The Chow Motives of Relative Fulton-Macpherson Space
No full textSuppose that is a complex nonsingular projective variety and is a smooth divisor. Compactifications of configuration spaces of distinct and non-distinct points in away from were constructed by the author and B. Kim in "A generalization of Fulton-MacPherson configuration spaces" by using the method of wonderful compactification. In this paper, we give explicit presentations of Chow motives and Chow groups of these configuration spaces
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