Abstract In recent era, debates around the inconsistency in the apparent meaning of Suras and Verses of the Quran has been abundant among the contemporary Quran researchers. On the other hand, many Islamic scientists and non-Islamic researchers have striven to prove the consistency of the apparent meaning of the Verses of the Quran and have put forward theories from which we may mention the “th...

1890 1. Die SehstSrungen nach Verletzung der Grosshimrinde. Nach Versuchen am Hunde. I, Arch. ges. Physiol., 1884, xxxiv, 67-114. 2. Die Sehst6rungen nach Verletzung der Grosshirnrinde. Nach Versuchen am Hunde. II. Die Natur der Sehst6rungen, Arch. ges. Physiol., 1884, xxxiv, 115-172. 3. Die elementaren St6rungen einfacher Funktionen nach oberfl~chlicher, umschriebener Verletzung des Grosshirns...

Armand Borel As I Knew Him. I do not remember exactly when I first met Armand Borel. It may have been in Paris in 1949 or in Zürich in 1950. After that we often met, and we soon became good friends. He liked to recall jokingly that he was the one from whom I learned that there existed five exceptional simple Lie groups, the study of which became for a while, shortly afterward, my special trade....

Richard W. Aldrich Seth L. Alper Bruce P. Bean Ted Begenisich Philip M. Best Francisco Bezanilla Steven Block Michael D. Cahalan Stephen C. Cannon Michael Caplan William A. Catterall W. Knox Chandler Tsung-Yu Chen David E. Clapham Torben Clausen Fredric S. Cohen Ira S. Cohen David Colquhoun John A. Dani David C. Dawson Paul De Weer Carol J. Deutsch Kathleen Dunlap Joseph J. Falke Robert A. Farl...

We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results of [4]. As an application of our main result we complete and simplify the analysis in [6], showing that in a 4-dimensional subRiemannian structure suggested by Agrachev and Gauthier all length-minimizing curves are smooth.

Landau gave a lower estimate for the radius of a schlicht disk centered at the origin and contained in the image of the unit disk under a bounded holomorphic function f normalized by f(0) = f ′(0)− 1 = 1. Chen, Gauthier, and Hengartner established analogous versions for bounded harmonic functions. We improve upon their estimates.

Physics) Direct Observation of Optical Precursors in a Cold Potassium Gas by Heejeong Jeong Department of Physics Duke University Date: Approved: Dr. Daniel J. Gauthier, Supervisor