In this paper it is shown that any regular critical point of the Mumford-Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the L1 -topology.

The objectives of this article are to study the sum IS(d) and to find some upper din bounds for Smarandache's function. This sum is proved to satisfy the inequality IS(d) ~ n at most all the composite numbers, Using this inequality, some new din upper bounds for Smarandache's function are found. These bounds improve the well-known inequality Sen) ~ n.

Toplumun temel kurumlarından bir tanesi de dindir. Din, insanlık tarihi ile başlamış ve yaşıt evrensel olgudur. Tarihin her döneminde toplumda var olmuş, günümüzde varlığını en canlı şekilde hissettiren önemli hassas kurumdur. Antropoloji bilimi tarih boyunca bireysel olarak inanmayan kişiler olmakla beraber top yekûn dinsiz topluma rastlanmadığını haber vermektedir. İnsanların huzur mutluluğun...

We developed a HPLC/MS method for the identification and determination of solanine in plants. This method was applied for samples of Solanum dulcamara (from Iaşi and Vânători Neamţ areas in Romania) and Physalis alkekengi (from Bucium and Breazu, Iaşi, Romania) during August-September 2009. Isolation of solanine was performed by extraction with a mixture consisting of water/methanol/acetic acid...

PURPOSE The aim of this work was to implement, validate, and compare two procedures for routine image quality (IQ) assurance in dental cone-beam computed tomography (CBCT): 1. the German standard DIN 6868 - 161 introduced in 2013 and 2. the established standard IEC 61,223 - 3-5 for clinical CT x-ray equipment referenced as "DIN" and "IEC" below. MATERIALS AND METHODS The approximated in-plane...