نتایج جستجو برای: lipschitz involution

تعداد نتایج: 12168  

2017
LARRY GUTH

We discuss recent work of Chambers, Dotterrer, Ferry, Manin, and Weinberger, which resolved a fundamental question in quantitative topology: if f : Sm → Sn is a contractible map with Lipschitz constant L, what can we say about the Lipschitz constant of a null-homotopy of f? In the mid-90s, Gromov wrote an article on quantitative topology [G], raising a number of interesting questions. We will f...

Journal: :Journal of Algebra 2021

We introduce a generalization of the Euclidean algorithm for rings equipped with an involution, and completely enumerate all isomorphism classes orders over definite, rational quaternion algebras orthogonal involution that admit such algorithm. give two applications: first, any order admits has class number 1; second, we show how existence relates to problem constructing explicit Dirichlet doma...

Journal: :Cancer prevention research 2016
Gretchen L Gierach Deesha A Patel Ruth M Pfeiffer Jonine D Figueroa Laura Linville Daphne Papathomas Jason M Johnson Rachael E Chicoine Sally D Herschorn John A Shepherd Jeff Wang Serghei Malkov Pamela M Vacek Donald L Weaver Bo Fan Amir Pasha Mahmoudzadeh Maya Palakal Jackie Xiang Hannah Oh Hisani N Horne Brian L Sprague Stephen M Hewitt Louise A Brinton Mark E Sherman

Elevated mammographic density (MD) is an established breast cancer risk factor. Reduced involution of terminal duct lobular units (TDLU), the histologic source of most breast cancers, has been associated with higher MD and breast cancer risk. We investigated relationships of TDLU involution with area and volumetric MD, measured throughout the breast and surrounding biopsy targets (perilesional)...

2018
Joshua B Benoit Veronika Michalkova Elise M Didion Yanyu Xiao Aaron A Baumann Geoffrey M Attardo Serap Aksoy

Tsetse flies are important vectors of human and animal trypanosomiasis. Ability to reduce tsetse populations is an effective means of disease control. Lactation is an essential component of tsetse's viviparous reproductive physiology and requires a dramatic increase in the expression and synthesis of milk proteins by the milk gland organ in order to nurture larval growth. In between each gonotr...

Journal: :CoRR 2014
Kashyap Dixit

We consider the problem of Lp-testing of class of bounded derivative properties over hypergrid domain with points distributed according to some product distribution. This class includes monotonicity, the Lipschitz property, (α, β)-generalized Lipschitz and many more properties. Previous results for Lp testing on [n] d for this class were known for monotonicity and c-Lipschitz properties over un...

Journal: :The Journal of Cell Biology 1992
R S Talhouk M J Bissell Z Werb

Extracellular matrix (ECM) plays an important role in the maintenance of mammary epithelial differentiation in culture. We asked whether changes in mouse mammary specific function in vivo correlate with changes in the ECM. We showed, using expression of beta-casein as a marker, that the temporal expression of ECM-degrading proteinases and their inhibitors during lactation and involution are inv...

2006
Joseph P.S. Kung Xinyu Sun Catherine Yan

We describe an involution on a set of sequences associated with lattice paths with north or east steps constrained to lie between two arbitrary boundaries. This involution yields recursions (from which determinantal formulas can be derived) for the number and area enumerator of such paths. An analogous involution can be defined for parking functions with arbitrary lower and upper bounds. From t...

2014
Sevan Evren Jason W. H. Wen Olivia Luu Erich W. Damm Martina Nagel Rudolf Winklbauer

Xenopus provides a well-studied model of vertebrate gastrulation, but a central feature, the movement of the mesoderm to the interior of the embryo, has received little attention. Here, we analyze mesoderm involution at the Xenopus dorsal blastopore lip. We show that a phase of rapid involution – peak involution – is intimately linked to an early stage of convergent extension, which involves di...

Journal: :Illinois Journal of Mathematics 2005

Journal: :Proceedings of the National Academy of Sciences of the United States of America 1959
S Bochner

On a Lebesgue measure space with measure element do, and total measure finite or infinite, we consider the complex-valued measurable functions f, y, so, ., each determined only a.e., and each belonging to all L,-classes simultaneously, 1<r< a. We donote (i) by F = {f} a ring of functions with complex constants and ordinary multiplication and closed under the involution: if f -= f + if2 e F then...

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