ing from (2.6), we obtain that ∫ M ( H1Hr −Hr+1 〈N ,a〉dV = 0. (3.1) We know from Newton inequality [2] that Hr−1Hr+1 ≤ H2 r , where the equality implies that k1 = ··· = kn. Hence Hr−1 ( H1Hr −Hr+1 ≥Hr ( H1Hr−1−Hr ) . (3.2) It derives from Lemma 2.1 that 0≤H1/r r ≤H1/r−1 r−1 ≤ ··· ≤H1/2 2 ≤H1. (3.3) Thus we conclude that Hr−1 ( H1Hr −Hr+1 ≥Hr ( H1Hr1 −Hr ≥ 0, (3.4) and if r ≥ 2, the equalities h...

is precompact in the C1,α topology. Here R denotes the Riemann curvature tensor, vol the volume and diam the diameter of (M,g). Thus, for any sequence of metrics gi on n-manifolds Mi satisfying (1.1), there is a subsequence, also called gi, and diffeomorphisms φi : M∞ → Mi such that the metrics φi gi converge in the C 1,α topology to a limit metric g∞ onM∞, for any α < 1. In particular, there a...

Suppose that M is a compact Riemannian manifold with boundary and u is an L-normalized Dirichlet eigenfunction with eigenvalue λ. Let ψ be its normal derivative at the boundary. Scaling considerations lead one to expect that the L norm of ψ will grow as λ1/2 as λ → ∞. We prove an upper bound of the form ‖ψ‖ 2 ≤ Cλ for any Riemannian manifold, and a lower bound cλ ≤ ‖ψ‖ 2 provided that M has no ...

It is generally thought that space-time block codes (STBCs) can obtain no more than full space diversity. In this paper, we propose a new construction method of joint orthogonal STBCs based onM dimensional lattice constellations for obtaining space and time diversities simultaneously. By deriving the Chernoff bound of error probability, we prove the exact diversity gain of the proposed code is ...

In the homework, you developed the theory of absolute integrability for top-degree differential forms on smooth manifolds M with constant positive dimension n > 0, in both the oriented and non-oriented cases (though the integration operator ∫ M |ω| in the non-oriented case is not linear in ω). You also proved that in the oriented case, if ω is such an absolutely integrable form then | ∫ M,μ ω| ...

In Multipregnancies, The careful control of Number of follicles in stimulation cycles and Number of embryos transferred in ART cycles is so important. Just twin pregnancies are reason for racial death (12- 15%). The risk for CP in twin pregnancies is 8 times more and for Triple is 47 times more than simple ones.Approximately all prenatal problems increase in multiple pregnancies and therefore t...

The role of imaging in female infertility has undergone a revolution over the past few decades .Sonography plays an integral role in the evaluation of gynecologic disease. It can determine the organ or site of abnormality and provide a diagnosis or short differential in the vast majority of patients. Both the transabdominal and transvaginal approaches are now well –established techniques for as...

Background: Infertility & Obesity have often been linked among of reproductive age. Obesity results in an increased production of Estrogen and Androgen, these hormonal imbalances interfere with ovulation, which of course is the basis of successful conception. Obesity is a characteristic of polycystic ovary syndrome (PCOS). Obesity is linked to several health conditions, including cardiovascular...

Background: In spite of the great deal of research in assisted reproductive techniques, more than 80% of transferred embryos by IVF/ICSI methods fail to be implanted. The causes for repeated implantation failures (RIF) may be reduced endometrial receptivity or other various uterine pathologies, such as thin endometrium, altered expression of adhesive molecules or immunological factors; whereas ...

Background Ginseng is often referred to as the King of all herbs, and is found to be a promising agent to improve general well-being. Ginseng has also been reputed as an aphrodisiac, a disused to treat sexual dysfunction as well as to enhance sexual behavior. MaterialsAndMethods In this trial, thirty three adult male rats were divided into three groups. Experimental groups received gensing oral...