We consider natural variants of Lehmer's unresolved conjecture that Ramanujan's tau-function never vanishes. Namely, for n>1 we prove thatτ(n)∉{±1,±3,±5,±7,±691}. This result is an example general theorems (see Theorems 1.2 and 1.3 [2]) newforms with trivial mod 2 residual Galois representation. well-known congruences τ(n) allow the simplified proof in these special cases. make use theory Lucas...

Sa‘dî Şirâzî’nin (öl. 691/1292) Gülistân’ı üzerine 20. yüzyıla kadar otuzu aşkın Türkçe şerh yazılmıştır. 19. yüzyılda yaşamış Farsça muallimi Ca‘fer-i Tayyâr’ın yazdığı Rehber-i Gülistân şerhi, son dönem şerhlerinden olup pek tanınmamıştır. Tayyâr, bu eserinde kelime tercüme etmiş, Arapça ve kelimelerin aldıkları harf ekleri gramer bakımından açıklamış manalarını vermiştir. içerisinde yeri gel...

Forty-two patients with the clinical diagnosis of multiple sclerosis were examined by proton magnetic resonance imaging (MRI) at 0.5 T. An extensive protocol was used to facilitate a comparison of the efficacy of different pulse techniques. Results were also compared in 39 cases with high-resolution x-ray computed tomography (CT). MRI revealed characteristic abnormalities in each case, whereas ...

Rapid MR imaging using the stimulated echo acquisition mode (STEAM) technique yields single-shot images without any sensitivity to resonance offset effects. However, the absence of susceptibility-induced signal voids or geometric distortions is at the expense of a somewhat lower signal-to-noise ratio than EPI. As a consequence, the achievable spatial resolution is limited when using conventiona...

Introduction: Whole rocks, chondrules and matrix from the same chondrite group typically have the same or very similar oxygen-isotopic compositions [e.g., 1]. Among the three major clans of chondrites, enstatite chondrites (ECs) have the most uniform oxygen isotopic compositions (Fig. 1). In order to study oxygen-isotopic heterogeneity of ECs in microscale, we carried out SIMS measurements on c...

How people perceive major life events changes over time. We examined the longitudinal interplay between perceived event characteristics and subjective well-being (SWB) using two short-term studies (NStudy1 = 619; NStudy2 691). In both studies, SWB were assessed at measurement occasions 3 months apart. Perceiving as increasingly externally controlled social status threatening time was consistent...

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1. Mariën G, Vranken G, Demuylder M, Blanckaert N, Bossuyt X. Clinical capillary zone electrophoresis of serum proteins: balancing high sensitivity and high specificity. Clin Chem 2003;49:1419–20. 2. Abu-Lebdeh HS, Hodge DO, Nguyen TT. Predictors of macrovascular disease in patients with type 2 diabetes mellitus. Mayo Clin Proc 2001; 76:707–12. 3. Kanters SD, Frijns RC, Beutler JJ, Fijnheer R. ...

We provide a deterministic algorithm that constructs small point sets exhibiting a low star discrepancy. The algorithm is based on bracketing and on recent results on randomized roundings respecting hard constraints. It is structurally much simpler than the previous algorithm presented for this problem in [B. Doerr, M. Gnewuch, A. Srivastav. Bounds and constructions for the star discrepancy via...

Methods Study Design: Retrospective observational study. Population: A total of 3553 patients (2862 females, 691 males), aged between 10 and 21 years were included; each one had at least a clinical evaluation by our physicians and spinal X-rays. Methods: The two groups of females and males were separately divided into five subgroups according to Risser sign, (R0, R1, R2, R3, R4, R5), in order t...