PURPOSE The purpose of this study is to identify risk factors for severe thyroid-associated orbitopathy (TAO) and compressive optic neuropathy in Korean patients. METHODS This study was a retrospective comparative case series. All TAO patients who were first seen at our institution between 2005 and 2009 and who had follow-up periods of at least 6 months were included. Patients were divided in...

THE PREVALENCE AND CLINICAL CHARACTERISTICS OF JAPANESE PATIENTS WITH BUERGER DISEASE (THROMBOANGIITIS OBLITERANS: TAO) were analyzed based on the Ministry of Health, Labour and Welfare (MHLW) database in 2009. A total of 129 new patients and 3639 patients in follow-up were selected according to the clinical criteria of TAO. The current number of patients with TAO in Japan is estimated at about...

PURPOSE To describe the change of lacrimal gland volumes in Korean patients with thyroid-associated ophthalmopathy (TAO) via computed tomography (CT). METHODS A retrospective review of CT images from 217 TAO patients and 135 control subjects was performed. The TAO patients were diagnosed between May 2005 and May 2014 and had a CT performed on initial presentation (330 orbital CT scans). These...

There exists an absolute constant δ > 0 such that for all q and all subsets A ⊆ Fq of the finite field with q elements, if |A| > q2/3−δ , then |(A−A)(A−A)| = |{(a− b)(c − d) : a, b, c, d ∈ A}| > q 2 . Any δ < 1/13, 542 suffices for sufficiently large q. This improves the condition |A| > q2/3, due to Bennett, Hart, Iosevich, Pakianathan, and Rudnev, that is typical for such questions. Our proof ...

We prove that spectral projections of Laplace-Beltrami operator on the m-complex unit sphere E∆ S2m−1 ([0, R)) are uniformly bounded as an operator from H(S) to L(S) for all p ∈ (1,∞). We also show that the Bochner-Riesz conjecture is true when restricted to cylindrically symmetric functions on R × R. Suppose that L is a positive definite, self-adjoint operator acting on L(X,μ), where X is a me...

Notes on the sum-product estimates of Bourgain-Katz-Tao and BourgainKonyagin.

A discussion of the relationship between these two different systems of ideas leading to a synthesis.