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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

ÐœÐ•Ð–Ð‘Ð®Ð”Ð–Ð•Ð¢Ð�Ð«Ð• ÐžÐ¢Ð�ÐžÐ¨Ð•Ð�Ð˜Ð¯ Ð˜ ÐžÐ¡Ð�ÐžÐ’Ð�Ð«Ð• Ð�Ð�ÐŸÐ Ð�Ð’Ð›Ð•Ð�Ð˜Ð¯ Ð˜Ð¥ Ð¡ÐžÐ’Ð•Ð Ð¨Ð•Ð�Ð¡Ð¢Ð’ÐžÐ’Ð�Ð�Ð˜Ð¯ (Ð�Ð� ÐŸÐ Ð˜ÐœÐ•Ð Ð• Ð“Ð Ð£Ð—Ð˜Ð˜) [PDF]

, 2017
The paper considers inter-budgetary relations as one of the most complex and ambiguous spheres of functioning of state institutions of Georgia. The aim is to identify the problematic aspects of Georgia's budget policy and formulate the key directions for
Abuselidze, George
core +3 more sources

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

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

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

Screening for Diabetes Type 2 in Primary Health Care [PDF]

, 2015
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Iliev, Darko, Ilieva, Natasha, Mishevska, Petranka +2 more
core +2 more sources

A note on Hammersley′s inequality for estimating the normal integer mean

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 34, Page 2147-2156, 2003., 2003
Let X1, X2, …, Xn be a random sample from a normal N(θ, σ2) distribution with an unknown mean θ = 0, ±1, ±2, …. Hammersley (1950) proposed the maximum likelihood estimator (MLE) d=[X¯n], nearest integer to the sample mean, as an unbiased estimator of θ and extended the Cramér‐Rao inequality.
Rasul A. Khan
wiley +1 more source

A Historical Writing Apprenticeship for Adolescents: Integrating Disciplinary Learning With Cognitive Strategies [PDF]

, 2016
This study explored the extent to which an 18â day history and writing curriculum intervention, taught over the course of one year, helped culturally and academically diverse adolescents achieve important disciplinary literacy learning in history ...
Croninger, Robert +5 more
core +1 more source