The Clarkson-McLeod solutions of the fourth Painlevé equation behave like κDα−122(2x) as x→+∞, where κ is some real constant and Dα−12(x) parabolic cylinder function. Using Deift-Zhou nonlinear steepest descent method, we derive asymptotic behaviors for this class x→−∞. This completes a proof Clarkson McLeod's conjecture on asymptotics family solutions. total integrals approximations σ-form are...

We prove several inequalities for trace norms of sums of n operators with roots of unity coefficients. When n = 2 these reduce to the classical Clarkson inequalities and their non-commutative analogues.

IDENTIFICATION OF A POTENTIAL TUMOR DIFFERENTIATION FACTOR (TDF) RECEPTOR FROM STEROID-RESPONSIVE AND STEROID-RESISTANT BREAST CANCER CELLS Izabela Sokolowska, Alisa G. Woods, Mary Ann Gawinowicz, Urmi Roy and Costel C. Darie From Department of Chemistry & Biomolecular Science, Biochemistry & Proteomics Group, Clarkson University, 8 Clarkson Avenue, Potsdam, NY, 13699-5810 and Protein Core Faci...

We consider the Clarkson-McLeod solutions of fourth Painlev\'e equation. This family behave like $\kappa D_{\alpha-\frac{1}{2}}^2(\sqrt{2}x)$ as $x\rightarrow +\infty$, where $ is an arbitrary real constant and $D_{\alpha-\frac{1}{2}}(x)$ parabolic cylinder function. Using Deift-Zhou nonlinear steepest descent method, we obtain singular asymptotics $x\to-\infty$ when \left( \kappa -\kappa ^*\ri...

From February 2020, the COVID-19 pandemic led to closures of educational institutions reduce spread infectious disease. This forced U.S. education system into a massive experiment with online education. Despite conducting bioethics for nearly twenty years, our program, joint endeavor Clarkson University and Icahn School Medicine at Mount Sinai, was not immune this disruption because curriculum ...