and Applied Analysis 3 From the ideas of Theorem D to Theorem F, it is natural to ask whether the values a, b in Theorem C can be replaced by two polynomials Q1, Q2. The main purpose of this paper is to investigate this problem. We prove the following result. Theorem 1.2. Let Q1 z a1z a1,p−1zp−1 · · · a1,0 and Q2 z a2z a2,p−1zp−1 · · · a2,0 be two polynomials such that degQ1 z degQ2 z p (where ...

We have used time-lapse video microscopy to study the behavior of a neuron, Q1, that pioneers the posterior commissure of the embryonic grasshopper. Our goal is to use time-lapse video as a tool to acquire a precise picture of normal development over time, and thereby identify stereotypic activities that might indicate important interactions necessary for proper formation of the commissure. We ...

Astrid Oberson, Else K. Bünemann, Dennis K. Friesen, I.M. Rao, Paul C. Smithson, Benjamin L. Turner, and Emmanuel Frossard, Institute of Plant Sciences, Swiss Federal Institute of Technology, Zurich, Switzerland School of Earth and Environmental Sciences, University of Adelaide, Adelaide, Australia International Center for the Improvement of Maize and Wheat (CIMMYT) and International Q1 Fertili...

در این پژوهش سعی می‌­شود مدلی برای شبیه‌­سازی چرخه عمر صنعت برق با استفاده از شبیه‌سازی عامل­بنیان ارائه شود، مدل، 5 عامل استخراج شد و شبیه­‌سازی به کمک نرم‌افزار Anylogic صورت پذیرفت. بهینه‌­سازی مدل چهار سناریو نظر خبرگان شد. سناریوی نخست، جذابیت نیروگاه گازی سیکل ترکیبی کاهش یافت بر دو دیگر افزوده نتیجه افزایش تولید آبی است که توجه کمبود منابع کشور به‌صرفه نیست. دوم ورود یک فناوری جدید میزان...

MOTIVATION Gene class testing (GCT) is a statistical approach to determine whether some functionally predefined classes of genes express differently under two experimental conditions. GCT computes the P-value of each gene class based on the null distribution and the gene classes are ranked for importance in accordance with their P-values. Currently, two null hypotheses have been considered: the...

Let the functions q1 be analytic and let q2 be analytic univalent in the unit disk. Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function f are obtained so that either q1 z ≺ zf ′ z /f z ≺ q2 z or q1 z ≺ 1 zf ′′ z /f ′ z ≺ q2 z . As applications, sufficient conditions are determined relati...

Strategic games: simultaneous choices of 2 or more players • 2 firms: P1 sets q1 and maximizes payoff π1(q1, q2), P2 sets q2 and maximizes payoff π2(q1, q2). Want simultaneous optimal choices given the other player’s choice. • Chapters 2: Finite number of choices for each player • Chapters 3: Continuous choice of quantity for each player • Chapter 4: Play choices probabilistically, mixed strate...