We present an approach applicable to certain instances of the generalized Baues problem of Billera, Kapranov, and Sturmfels. This approach involves two applications of Alexander/Spanier-Whitehead duality. We use this to show that the generalized Baues problem has a positive answer for the surjective map of cyclic polytopes C (n; d) ! C (n; 2) if n < 2d + 2 and d 9.

for all x ∈ C, p ∈ F T and n ≥ 1. It is clear that if F T is nonempty, then the asymptotically nonexpansive mapping, the asymptotically quasi-nonexpansive mapping, and the generalized quasi-nonexpansive mapping are all the generalized asymptotically quasi-nonexpansive mapping. Recall also that a mapping T : C → C is said to be asymptotically quasi-nonexpasnive in the intermediate sense provided...

In this note we show that an unbounded regular operator t on Hilbert C∗modules over an arbitrary C∗ algebra A has polar decomposition if and only if the closures of the ranges of t and |t| are orthogonally complemented, if and only if the operators t and t∗ have unbounded regular generalized inverses. For a given C∗-algebra A any densely defined A-linear closed operator t between Hilbert C∗-mod...

  Background Seizures may occur in as many as 1% of children. The most urgent type of seizures is generalized tonic-clonic seizures (GTCS). N-terminal prohormone of brain natriuretic peptide (NT‐proBNP) has been considered as a promising biomarker in numerous acute illnesses. We aimed to evaluate usefulness of NT‐proBNP for diagnosis of g...

in this paper, we give some determinantal and permanental representations of generalized lucas polynomials, which are a general form of generalized bivariate lucas p-polynomials, ordinary lucas and perrin sequences etc., by using various hessenberg matrices. in addition, we show that determinant and permanent of these hessenberg matrices can be obtained by using combinations. then we show, the ...

It is shown for a simple ODE that it has many symmetry groups beyond its usual Lie group symmetries, when its generalized solutions are considered within the nowhere dense differential algebra of generalized functions. 0. Idea and Motivation The standard Lie group theory applied to symmetries of solutions of PDEs, Olver [1-3], deals with classical, and specifically, C-smooth solutions of such e...

A variable c(t) has been previously proposed as an alternative to dark energy as the cause for the apparent acceleration of the universe found with supernovae Ia on high red-shift galaxies, but without an analytic expression for c(t). We have herein derived a variable photon velocity from the assumption of anisotropic and homogeneous universe which is consistent with being the physical photon v...

T*-categories are introduced as a ternary generalization of C*-categories. Their linking C*-categories constructed and the Gelfand-Naimark representation theorems Zettl for C*-ternary rings W*-ternary rings, generalized to T*-categories. Biduals considered.

IV. Automata and generalized urn logic 11 A. Partition logic 13 B. Generalized urn models 13 C. Automaton models 13 D. Proof of logical equivalence 14 1. Direct construction of automaton models from generalized urn models 14 2. Direct construction of generalized urn models from automaton models 14 3. Schemes using dispersion-free states 14 4. Example 1: The generalized urn logic L12 16 5. Examp...

As a generalization of countably C-approximating posets, the concept of countably QC-approximating posets is introduced. With the countably QC-approximating property, some characterizations of generalized completely distributive lattices and generalized countably approximating posets are given. The main results are as follows: (1) a complete lattice is generalized completely distributive if and...