Carathéodory's theorem on boundary elements of an arbitrary plane region
نویسندگان
چکیده
منابع مشابه
A Proof of the Uniformization Theorem for Arbitrary Plane Domains
We present a simple constructive proof of the Uniformization Theorem which works for plane domains. The proof is a combination of covering space theory and Koebe's constructive proof of the Riemann mapping theorem, and the resulting algorithm can be used to estimate the Poincar6 metric for the domain.
متن کاملTHE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE
This paper is concerned with the effect of pure shear on the reflection from a plane boundary of infinitesimal plane waves propagating in a half-space of incompressible isotropic elastic material. For a special class of constitutive laws it is shown that an incident plane harmonic wave propagating in the considered plane gives rise to a surface wave in addition to a reflected wave (with angle o...
متن کاملFreiman’s Theorem in an Arbitrary Abelian Group
A famous result of Freiman describes the structure of finite sets A ⊆ Z with small doubling property. If |A + A| 6 K|A| then A is contained within a multidimensional arithmetic progression of dimension d(K) and size f(K)|A|. Here we prove an analogous statement valid for subsets of an arbitrary abelian group.
متن کاملBending Analysis of Laminated Composite Plates with Arbitrary Boundary Conditions
It is well known that for laminated composite plates a Levy-type solution exists only for cross-ply and antisymmetric angle-ply laminates. Numerous investigators have used the Levy method to solve the governing equations of various equivalent single-layer plate theories. It is the intension of the present study to introduce a method for analytical solutions of laminated composite plates with ar...
متن کاملAn Eilenberg Theorem for Arbitrary Languages
In algebraic language theory one investigates formal languages by relating them to finite algebras. The most important result along these lines is Eilenberg’s celebrated variety theorem [7]: varieties of languages (classes of regular finite-word languages closed under boolean operations, derivatives and preimages of monoid morphisms) correspond bijectively to pseudovarieties of monoids (classes...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1969
ISSN: 0386-5991
DOI: 10.2996/kmj/1138845988