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Isotopy classes for 3‐periodic net embeddings

Acta Crystallographica Section A, Volume 76, Issue 3, Page 275-301, May 2020., 2020
Entangled embedded periodic nets and crystal frameworks are defined, along with their dimension type, homogeneity type, adjacency depth and periodic isotopy type.Entangled embedded periodic nets and crystal frameworks are defined, along with their dimension type, homogeneity type, adjacency depth and periodic isotopy type.
Stephen C. Power, Igor A. Baburin, Davide M. Proserpio +2 more
wiley +1 more source

Techniques and Methods for Detection and Diagnosis of Oral Premalignant and Malignant Lesions [PDF]

Pull-Out Test and the Effects Ð¾f Using Different Types Ð¾f Cements and Upgrading Systems Ð¾n Endodontic Treated Teeth [PDF]

Dark Energy from the Gas of Wormholes

Journal of Astrophysics, Volume 2013, Issue 1, 2013., 2013
We assume the space‐time foam picture in which the vacuum is filled with a gas of virtual wormholes. It is shown that virtual wormholes form a finite (of the Planckian order) value of the energy density of zero‐point fluctuations. However such a huge value is compensated by the contribution of virtual wormholes to the mean curvature and the observed ...
A. A. Kirillov +4 more
wiley +1 more source

Some Comments on Rigorous Finite‐Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme

Advances in Mathematical Physics, Volume 2011, Issue 1, 2011., 2011
Through the systematic use of the Minlos theorem on the support of cylindrical measures on R∞, we produce several mathematically rigorous finite‐volume euclidean path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of finite‐volume Laplacian operator.
Luiz C. L. Botelho, Klaus Kirsten
wiley +1 more source

Optimal Estimators for Threshold‐Based Quality Measures

Journal of Probability and Statistics, Volume 2010, Issue 1, 2010., 2010
We consider a problem in parametric estimation: given n samples from an unknown distribution, we want to estimate which distribution, from a given one‐parameter family, produced the data. Following Schulman and Vazirani (2005), we evaluate an estimator in terms of the chance of being within a specified tolerance of the correct answer, in the worst case.
Aaron Abrams +6 more
wiley +1 more source

Ergodic sequences of probability measures on commutative hypergroups

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 335-343, 2004., 2004
We study conditions on a sequence of probability measures {μn}n on a commutative hypergroup K, which ensure that, for any representation π of K on a Hilbert space ℋπ and for any ξ ∈ ℋπ, (∫Kπx(ξ)dμn(x)) n converges to a π‐invariant member of ℋπ.
Liliana Pavel
wiley +1 more source

Absolutely continuous measures and compact composition operator on spaces of Cauchy transforms

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2937-2945, 2004., 2004
The analytic self‐map of the unit disk D, φ is said to induce a composition operator Cφ from the Banach space X to the Banach space Y if Cφ(f) = f∘φ ∈ Y for all f ∈ X. For z ∈ D and α > 0, the families of weighted Cauchy transforms Fα are defined by f(z)=∫TKxα(z)dμ(x), where μ(x) is complex Borel measure, x belongs to the unit circle T, and the kernel ...
Yusuf Abu Muhanna, El-Bachir Yallaoui
wiley +1 more source

On vector‐valued Hardy martingales and a generalized Jensen′s inequality

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 527-532, 2003., 2003
We establish a generalized Jensen′s inequality for analytic vector‐valued functions on 𝕋N using a monotonicity property of vector‐valued Hardy martingales. We then discuss how this result extends to functions on a compact abelian group G, which are analytic with respect to an order on the dual group.
Annela R. Kelly, Brian P. Kelly
wiley +1 more source

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