An arrangement of pseudocircles is a collection of simple closed curves on the sphere or in the plane such that every pair is either disjoint or intersects in exactly two crossing points. We call an arrangement intersecting if every pair of pseudocircles intersects twice. An arrangement is circularizable if there is a combinatorially equivalent arrangement of circles. Kang and Müller showed tha...

Three experiments examine how the type of language used to describe in-group and out-group behaviors contributes to the transmission and persistence of social stereotypes. Two experiments tested the hypothesis that people encode and communicate desirable in-group and undesirable out-group behaviors more abstractly than undesirable in-group and desirable out-group behaviors. Experiment 1 provide...

Objectives There is today ample evidence that negative aging stereotypes impair healthy older adults' performance on cognitive tasks. Here, we tested whether these stereotypes also decrease performance during the screening for predementia on short cognitive tests widely used in primary care. Method An experiment was conducted on 80 healthy older adults taking the Mini Mental State Examination...

Prejudice towards obese people is widespread and has negative consequences for individuals with obesity. The present study covertly examined whether participants spontaneously generate different written transcript content (i.e., more negative stereotypes) when presented with a picture of an obese person or a normal-weight person. Two pictures of young women were computer generated to appear ide...

We consider the triple (A,A′,AH) of hyperplane arrangements and the division of their characteristic polynomials. We show that the freeness of A and the division of χ(A; t) by χ(A ; t) confirm the freeness ofA. The key ingredient of this “division theorem” on freeness is the fact that, if χ(A ; t) divides χ(A; t), then the same holds for the localization at the codimension three flat in H. This...

The module of derivations D(1)(A) of a hyperplane arrangement A ∈ C (henceforth called an n-arrangement) is an interesting and much studied object [10, 9, 8]. In particular, the question whether this module is free, for various classes of arrangements, has received great attention. On the other hand, the module of higher differential operators D(m)(A) received their first incisive treatment in ...

We consider arrangements of axis-aligned rectangles in the plane. A geometric arrangement specifies the coordinates of all rectangles, while a combinatorial arrangement specifies only the respective intersection type in which each pair of rectangles intersects. First, we investigate combinatorial contact arrangements, i.e., arrangements of interior-disjoint rectangles, with a triangle-free inte...