Miscellaneous Notes on the Erysiphaceae (II)

7 Notes for Miscellaneous Lectures

Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious. 1 Nemirovski Estimate of Mean of Arbitrary Distributions with Bounded Variance The popular Chernoff bounds assume severe restrictions on distribution: it must be...

A STUDY ON THE IDENTIFICATION OF ERYSIPHACEAE IN GILAN PROVINCE, IRAN (II)

This paper is in line with the previous publication on the powdery mildew fungi from Gilan province (Iran). This part deals with two new species to Iran and provides some information on the distribution, host range and morphology of a few other. For generic identification, the authors have followed the generic concepts that have recently been introducd by BRAUN (1999) and BRAUN  and TAKAMATSU (...

Notes on the Proof of Weil Ii

1.1. Fundamental groups. Let FET/X be the category of schemes finite étale over X. Choose x̄ a geometric point of X. The fiber functor Fx̄ : FET → SET is defined as Fx̄(Y ) = HomX(x̄, Y ). Then the étale fundamental group is defined as π1(X, x̄) = AutFx̄ π1(X, x̄) is a profinite group. If f : X → Y is a morphism, then it induces f∗ : π1(X, x̄) → π1(Y, f(x̄)). In the following, we will often omit the ”ba...

Notes on Sandflies. Part II

Lecture Notes on Acoustics II

Cumulative spectral decay of a loudspeaker showing the transient behavior.