Lotta Lemmata: A Sour Harvest

Three Kneser Lemmata

This note contains three versions of a result which is sometimes referred to as Kneser’s lemma and states that (with respect to a fixed triangulation) there is a bound on the number of disjointly embedded normal surfaces in a 3–manifold which satisfy an extra non–triviality condition. One often stipulates that no two of the surfaces be parallel in M . We relax this condition and merely assume t...

Lemmata zum Hurwitz-Kriterium

Lotta Jussila and Kari Alitalo

[PDF] [Full Text] [Abstract] , October 1, 2007; 103 (4): 1395-1401. J Appl Physiol R. Kivela, H. Kyrolainen, H. Selanne, P. V. Komi, H. Kainulainen and V. Vihko Cyr61/CCN1 and CTGF/CCN2 in human skeletal muscle A single bout of exercise with high mechanical loading induces the expression of [PDF] [Full Text] [Abstract] , October 1, 2007; 77 (4): 601-608. Am J Trop Med Hyg Adjei, A. Hoerauf ...

Some Algebraic Structures with Iteration Lemmata

This paper deals with solutions of algebraic, linear, and rational systems of equations over an !-complete semiring, and their iteration lemmata. These are guaranteed if the underlying structure has an associative multiplicative operation, and its elements have a norm. A number of such structures like words, vectors, traces, trees, graphs, are presented.

Valiant-Vazirani Lemmata for Various Logics

We show analogues of a theorem due to Valiant and Vazirani [16] for intractable parameterized complexity classes such as W[P], W[SAT] and the classes of the W-hierarchy as well as those of the A-hierarchy. We do so by proving a general “logical” version of it which may be of independent interest.