Solar-cycle Changes in Sunspot **Umbral** Intensity M.J. Penn National Solar Observatory 1,950 NCherryAve, Tucson, AZ 85718 R.K.D. MacDonald Astronomy Department, Box 351580, University of Washington, Seattle, WA, 98195-1580 ABSTRACT The minimum intensities of sunspot umbrae were measured from 1992 ...

APPLICATIONS OF THE CLASSICAL **UMBRAL** CALCULUS IRAM. GESSEL Dedicated to the memory of Gian-Carlo Rota Abstract. We describe applications of the classical **umbral** calculus to bilinear generat-ingfunctionsfor polynomial sequences, identities for Bernoulliand related numbers, and Kummer congruences.

Formal calculus and **umbral** calculus ThomasJ. Robinson Department of Mathematics Rutgers University, New Brunswick/Piscataway, USA thomasro@math.rutgers.edu Submitted: Mar 12,2010; Accepted: Jun 28,2010; Published: Jul 10,2010 Mathematics Subject Classification: 05A40,17B69 Abstract We use the ...

A Selected Survey of **Umbral** Calculus A. Di Bucchianic o † Technische Universiteit Eindhoven Department of Technology Management and EURANDOM P.O. Box 513 5600 MBEindhoven, The Netherlands A.d.Bucchianico@tm.tue.nl URL: http://www.tm.tue.nl/vakgr/ppk/bucchianico.htm D. Loeb ‡ DanielH.

Subject headings: Sun: activity—Sun: infrared—Sun: magnetic fields —sunspots

transactions of the american mathematical society volume 309, number 1, september 1988 **umbral** calculus, binomial enumeration and chromatic polynomials nigel ray abstract.

Lattice PathEnumeration and **Umbral** Calculus Heinrich Niederhausen Florida Atlantic University, Boca Raton 1997 (with corrections) 1 Introduction Twenty yeas ago, when I saw the"Finite Operator Calculus"[11]for the…rsttime, Iwas captivated by its beauty and inspired by all the roads it opened ...

22 "WhatIsItLiketoBeaBat?" Thomas Nagel Philosophy is ... infected by a broader tendency of contemporary intellectual life; scientism. Scientism is actually a special form of idealism, for it puts one

The Oslo observers P. Maltby and others ( 6 ), using a simple pinhole photometer with filters, discovered that **umbral** brightness varies with the activity cycle.

At the Threshold of Something Different Throughout the 20th century fine arts in Venezuela have stood out in the Latin American scene because of their great variety and their unquestionable quality.