Zum 10. September 1897

Lösungsvorschläge zum 10. Übungsblatt

Ist x k := k n für k = 0, 1, . . . , n gesetzt, so ist Zn := {x (n) 0 , x (n) 1 , . . . , x (n) n } = {0, 1 n , . . . , n−1 n , 1} eine Zerlegung von [0, 1] und ξ(n) := (x 1 , x (n) 2 , . . . , x (n) n ) = ( 1 n , 2 n , . . . , 1) ein zu Zn passender Zwischenvektor. Wir definieren f : [0, 1] → R, x 7→ e−x und erhalten eine Riemann-Summe σf (ξ(n), Zn) := ∑n k=1(x (n) k − x (n) k−1)f(x (n) k ) = ...

Biol. Pharm. Bull. 28(10) 1897—1902 (2005)

herb–drug interactions are recognized as a clinically important problem. Recently, various clinical and non-clinical studies including in vitro studies related to pharmacokinetic interactions between herbs and new drugs have been reported. Durr et al. reported that the administration of St. John’s Wort (Hypericum perforatum) extract to 8 healthy male volunteers during 14 d resulted in an 18% de...

Planting Trouble Update – September 10 , 2003

On June 19, 2003, the Center for Science in the Public Interest (CSPI) issued “Planting Trouble: Are Farmers Squandering Bt Corn Technology?” That report presented data from the United States Department of Agriculture (USDA) that found significant noncompliance by farmers in Iowa (IA), Minnesota (MN) and Nebraska (NE) with the Environmental Protection Agency’s (EPA) refuge requirements for corn...

Draft : September 10 , 2008 Learning Permutations with Exponential Weights ∗

We give an algorithm for the on-line learning of permutations. The algorithm maintains its uncertainty about the target permutation as a doubly stochastic weight matrix, and uses an efficient method for decomposing the weight matrix as a convex combination of permutations to make predictions. The weight matrix is updated by multiplying the current matrix entries by exponential factors, and an i...

Montague Maizels, 30 September 1899--10 February 1976.