Inductive McKay Condition in defining Characteristic

We reformulate the inductive McKay condition, from Isaacs-Malle-Navarro, and apply the new criterion to simple groups of Lie type, when the prime is the defining characteristic p. Thereby we make use of a recent result of Maslowski. This proves that these simple group satisfy the inductive McKay condition for p. In the non simply-laced types and non-classical types this reproves earlier results by Brunat and Brunat-Himstedt.Comment: 12 page

Sooty blotch of apple: Efficacy of different application strategies

Sooty blotch causes heavy losses in Lake Constance organic apple production. In the last five years research has been done at the research station for fruit growing (Kompetenzzentrum Obstbau – Bodensee) on strategies to control Sooty blotch on organic grown pome fruit. Different control strategies with lime sulphur, coconut soap and potassium bicarbonate with different application rates, application times were tested in several trials on the cultivar ‘Topaz’. Over the years the results show that lime sulphur has significant effects in controlling Sooty blotch. In a first trial potassium bicarbonate showed a promising efficacy against Sooty blotch. Concerning the right application times we need further investigations. The problem is that Sooty blotch is a disease complex caused by several fungi and it is likely that the fungi that are a part of the complex differ from area to area

Spartacus - Männermuskeln, Heldenbilder oder: die Befreiung der Moral

"Spartacus", das ist der Mann mit dem entschlossenen Blick aus stahlblauen Augen, ein Gesicht mit klassisch-gerader Nase und darunter ein eckiges Kinn mit unübersehbarem Grübchen, ein Körper mit muskolösen nackten Armen und Schenkeln - "Spartacus" ist für viele der Filmschauspieler Kirk Douglas in einer seiner bekanntesten Rollen, in Spartacus von Stanley Kubrick (USA, 1960)

Invariant blocks under coprime actions

If a finite group $A$ acts coprimely as automorphisms on a finite group $G$, then the $A$-invariant Brauer $p$-blocks of $G$ are exactly those that contain $A$-invariant irreducible characters

Least squares fitting with rotated paraboloids

In [1] the problem of estimating the parameters of a rotated parabola fitted to measured points in the plane was examined. The corresponding method, also used in [2,3], is extended here to the case of a rotated paraboloid. Fitting by such a surface occurs in computational metrology e.g. when some parabolic reflector will be checked to be a good one

Least-squares fitting of parametric curves with a linear function of several variables as argument

We discuss fitting of a parametric curve in the plane in the least-squares sense when the independent variable is a linear function of several variables with unknown coefficients. A general numerical method is recommended. For two special models the algorithmic details and numerical examples are given

Fitting affine and orthogonal transformations between two sets of points

Let two point sets P and Q be given in $R^n$. We determine a translation and an affine transformation or an isometry such that the image of Q approximates P as best as possible in the least squares sense