10 ENGLISH BOOKS RELATING TO «SYMMETRIZATION»
Discover the use of
symmetrization in the following bibliographical selection. Books relating to
symmetrization and brief extracts from same to provide context of its use in English literature.
1
Symmetrization and Applications
The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications. The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently.
2
The Geometry of Domains in Space
Chapter. 7. Steiner. Symmetrization. 7.1. Basic. Properties. The Swiss geometer
Jakob Steiner (1796 - 1863) devoted much of his energy to seeking simple
principles from which theorems in geometry could be derived in a natural way.
Steven G. Krantz, Harold R. Parks, 1999
3
Isoperimetric Inequalities in Mathematical Physics
Symmetrization 1.7. Space . Symmetrization is a geometric operation invented by
Jacob Steiner. Symmetrization with respect to the plane P changes the solid B
Into another solid B characterized as follows: (I) B Is symmetric with respect to P.
George Pólya, Gábor Szegő, 1951
4
Moduli of Families of Curves for Conformal and ...
A good collection of results about symmetrization and polarization is the contents
of the survey by V. Dubinin [30] and the series of articles by A. Solynin [133]-[136]
. Here we present only a part of them that we will apply further. 2.5.1 Circular ...
5
Partial Differential Equations of Elliptic Type: Cortona, 1992
If / : ft — > R is a fin- measurable function for which /(-,y) satisfies (1.1) for a.e. y for
which ft(y) ^ 0, then its (k,n)- Steiner symmetrization /* is the R- valued function
denned /jn-a.e. on ft* by Schwarz symmetrizing /(-,y) on a.e. ft(y). For t £ R the set
...
Angelo Alvino, E. B. Fabes, Giorgio Talenti, 1994
6
Calculus of Variations and Nonlinear Partial Differential ...
1. Sets. of. finite. perimeter. Symmetrization is one of the most powerful
mathematical tools with several applications both in Analysis and Geometry.
Probably the most remarkable application of Steiner symmetrization of sets is the
De Giorgi ...
Bernard Dacorogna, Paolo Marcellini, 2008
7
Extremum Problems for Eigenvalues of Elliptic Operators: ...
We define, as in the case of Schwarz rearrangement, the Steiner symmetrization
of u. Definition 2.2.3 (Steiner symmetrization of functions). Let u be a non-
negative measurable function defined on Q, which vanishes on on. We denote by
Q(c) ...
8
Probability for Statisticians
3. Maximal. Inequalities. and. Symmetrization. Sums of independent random
variables play an important role in probability and statistics. Our goal initially in
this section is to develop probability bounds for the maximum of the first n partial
sums ...
9
Handbook of Complex Analysis: Geometric Function Theory
There arise of course new complications because of the geometric nature of
boundary arcs of G. 19. Symmetrization and other geometric transformations
Beside the change of conformal module under quasiconformal mappings (cf.
Section 22) ...
10
Selecta: Selected Papers of D. C. Spencer
This surface bounds together with the hyperplanes x = ±fc, 2 = 0 and z = th/'l a
certain 4-dimensional region A. Symmetrization of this region in the (y, 9, e)-
hyperplane induces a symmetriza- tion u* of u and a symmetrization B* of R.
Since u is ...
Donald Clayton Spencer, 1985
10 NEWS ITEMS WHICH INCLUDE THE TERM «SYMMETRIZATION»
Find out what the national and international press are talking about and how the term
symmetrization is used in the context of the following news items.
Self-Healing Robots Inspired From Nature
Symmetrization may provide valuable insight to further research in the field of soft robotics and lead to ways of designing a greater freedom of movement in soft ... «iTech Post, Jul 15»
Science briefs
The newly discovered process, called symmetrization, involves the restoration of an ordered body plan after disruption to it caused by damage. The studies were ... «The Manitoban, Jul 15»
Animals in the News June 2015, What Chimps Teach Us, Awesome …
Recently, scientists discovered the amazing ability of Moon Jelly Fish in rearranging their anatomy in the case of losing legs that is called symmetrization. «BizTek Mojo, Jun 15»
Self-Repairing System In Moon Jellyfish Helps Them Regain …
Never before observed, the method of natural self-repair the scientists have dubbed "symmetrization" likely helps the jellies survive in the wild, where they are a ... «Tech Times, Jun 15»
Moon Jellyfish: 3 Things You Should Know About This Amazing …
Moon jellies use "symmetrization" in fixing their injuries. Symmetrization is the process of re-arranging the entire body to stay semmitrical whenever a limb is lost. «Chinatopix, Jun 15»
Moon jelly found able to rearrange remaining arms after one is lost …
... published in Proceedings of the National Academy of Sciences, the rearranging process, which they call symmetrization, is the first ever seen in any animal. «Phys.Org, Jun 15»
The Surprising Way Jellyfish Put Themselves Back Together
Giving the moon jellies a muscle relaxant made them unable to complete the symmetrization process. On the other hand, when the team increased the muscular ... «National Geographic, Jun 15»
PEACETALK: Achieving comprehensive Peace with BBL Part 2 …
... is not to use different forms of words to say the same thing; in critical context, it is negatively understood as another process of re-symmetrization. Congress is ... «Minda News, May 15»
Viewpoint: Sending Messages with a Quantum Seal
To prevent Alice from repudiating the message, both copies are sent to a symmetrization unit, which consists of a set of beam splitters that nondestructively ... «Physics, Jul 14»
Vive la Différence!
... between Two Electrons,” arXiv:1312.4881 (2013); C. R. Bowers and D. P. Weitekamp, “Transformation of Symmetrization Order to Nuclear-Spin Magnetization ... «Physics, Feb 14»
