Abstract In this article, the cosymplectic analogue of symplectic flux homomorphism a compact connected manifold ( M , η ω ) \left(M,\eta ,\omega ) with ∂ = ∅ \partial M=\varnothing is studied. Thi...

‎in this paper, we study some kinds of majorizations on $textbf{m}_{n}$ and their linear or strong linear preservers. also, we find the structure of linear or strong linear preservers which are multiplicative, i.e.  linear or strong linear preservers like $phi $ with the property $phi (ab)=phi (a)phi (b)$ for every $a,bin textbf{m}_{n}$.

Acid extrusion is essential for osteoclast (OC) activity. We examined Na+ and HCO3(-)-independent H+ extrusion in rat- and mouse OCs by measuring intracellular pH (pHi) changes, with the pHi indicator BCECF (biscarboxyethyl-5-(6) carboxyfluorescein) after H+ loading with an ammonium pulse. 90% of OCs attached to glass do not possess HCO3- and Na(+)-independent H(+)-extrusion (rate of pHi recove...

Exact squares in Cat are not necessarily absolute (i.e. preserved by any 2-functor Cat→ Cat), or even preserved by any 2-functor given by exponentiation (−)I : Cat → Cat: if a square is preserved by exponentiation it will be called a contractible exact square. We will characterize diagrammatically these contractible squares, and among them the contractible categories, and the so called fibering...

The following theorem is surprising because it says that if A is a suspension, then for any map A→ X, the homotopy fiber of the cofiber Fib(X → X/A) and A have unstably quite a lot in common (see corollary 8.9): Theorem. Let A→ X → X/A be a cofibration sequence of pointed and connected spaces and Y be a pointed space. If A is weakly equivalent to a suspension of a connected space, then the foll...

Chemotaxis of sperm is an important step toward fertilization. During chemotaxis, sperm change their swimming behavior in a gradient of the chemoattractant that is released by the eggs, and finally sperm accumulate near the eggs. A well established model to study chemotaxis is the sea urchin Arbacia punctulata. Resact, the chemoattractant of Arbacia, is a peptide that binds to a receptor guanyl...

Let d be a positive integer and U ⊂ ℤd finite. We study $$\beta (U): = \mathop {\inf }\limits_{\mathop {A,B \ne \phi }\limits_{{\rm{finite}}} } {{\left| {A + B U} \right|} \over {{{\left| A \right|}^{1/2}}{{\left| \right|}^{1/2}}}},$$ other related quantities. employ tensorization, which is not available for the doubling constant, ∣U U∣/∣U∣. For instance, we show (U) \left| \right|,$$ whenever ...

This paper analyzes Bayesian normal form games in which players write contracts that condition their actions on the contracts of other players. These contracts are required to be representable in a formal language. This is accomplished by constructing contracts which are de…nable functions of the Godel code of every other player’s contract. We provide a complete characterization of the set of a...

Let G be a 3-connected graph on more than 4 vertices. We show that every depth-first-search tree of G contains a contractible edge. Moreover, we show that if G is 3-regular or does not have two disjoint pairs of adjacent degree-3 vertices, every spanning tree of G contains a contractible edge.