S i n c e i t s introduction for use in r e p e l l i n g b i r d s , a number of people have found that Av-Alarm is effective for control of certain mammals. T h i s includes not only those f a m i l i a r to North Americans (deer, e l k , coyotes), but a l s o various less f a m i l i a r species, even anthropoids (baboons) and bats. A number of example cases are described. A concept theory i...

We introduce a $C^*$-algebra $\mathscr{A}_V$ of variety $V$ over the number field $K$ and $\mathscr{A}_G$ reductive group $G$ ring adeles $K$. Using Pimsner's Theorem we construct an embedding $\mathscr{A}_V\hookrightarrow \mathscr{A}_G$, where is $G$-coherent variety, e.g. Shimura $G$. The analog Langlands reciprocity for $C^*$-algebras. It follows from $K$-theory inclusion $\mathscr{A}_V\subs...

The local structure theory (G utowitz et al. ISJ) is an analyt ica l method for the determination of the statistical properties of cellular automaton evolution. In this paper we develop the local structure theory for mult i-dimens ional Euclidean lattices. The local st ructure theory for the Game of Life [1] is st udied in detail. Some statistica l properties of this cellular automaton are well...

Lie subalgebras of $ L = \mathfrak{g}(\!(x)\!) \times \mathfrak{g}[x]/x^n\mathfrak{g}[x] $, complementary to the diagonal embedding $\Delta$ \mathfrak{g}[\![x]\!] and Lagrangian with respect some particular form, are in bijection formal classical $r$-matrices topological bialgebra structures on algebra power series $. In this work we consider arbitrary subspaces associate them so-called type (n...

We develop a theory of stratified $LM$-filters which generalizes the theory of stratified $L$-filters. Our stratification condition explicitly depends on a suitable mapping between the lattices $L$ and $M$. If $L$ and $M$ are identical and the mapping is the identity mapping, then we obtain the theory of stratified $L$-filters. Based on the stratified $LM$-filters, a general theory of lattice-v...

We show the existence of an infinite monothetic Polish topological group G with the fixed point on compacta property. Such a group provides a positive answer to a question of Mitchell who asked whether such groups exist, and a negative answer to a problem of R. Ellis on the isomorphism of L(G), the universal point transitive G-system (for discrete G this is the same as PG the Stonetech compacti...