We give a type free formula for the expansion of k-Schur functions indexed by fundamental coweights within the affine nilCoxeter algebra. Explicit combinatorics are developed in affine type C.
(Dual-)promotion and (dual-)evacuation are bijections on SY T (λ) for any partition λ. Let c r denote the rectangular partition (c,. .. , c) of height r, and let sc k (k > 2) denote the staircase partition (k, k−1,. .. , 1). We demonstrate a promotion-and evacuation-preserving embedding of SY T (sc k) into SY T (k k+1). We hope that this result, together… (More)
BACKGROUND Physicians caring for children with serious acute neurologic disease must process overwhelming amounts of physiological and medical information. Strategies to optimize real time display of this information are understudied. OBJECTIVES Our goal was to engage clinical and engineering experts to develop guiding principles for creating a pediatric… (More)
Status epilepticus is a common neurologic emergency in children. Pediatric medical centers often develop protocols to standardize care. Widespread adoption of electronic health records by hospitals affords the opportunity for clinicians to rapidly, and electronically evaluate protocol adherence. We reviewed the clinical data of a small sample of 7 children… (More)
We review several newer modalities to monitor the brain in children with acute neurologic disease in the pediatric intensive care unit, such as partial brain tissue oxygen tension (PbtO2), jugular venous oxygen saturation (SjvO2), near infrared spectroscopy (NIRS), thermal diffusion measurement of cerebral blood flow, cerebral microdialysis, and EEG. We… (More)
Schubert polynomials were …rst introduced in 1982 by Lascoux and Schutzen-berger. They are of great interest in mathematics, as they relate to combinatorics, representation theory and geometry. For example, they form a natural basis of the cohomology ring H (G=B). They are also related to ‡ag varieties and Grassman-nians, etc.