$A$-genus and differentiable imbedding

A Generalized Parameter Imbedding Method

The parameter imbedding method for the Fredholm equation converts it into an initial value problem in its parameter λ. We establish the method for general operator equations of the form [I + ˆ f (λ)]ψ = φ. It is particularly useful for studying spontaneous symmetry breaking problems, such as contained in the nonlinear Schwinger-Dyson equation.

Generalized Invariant Imbedding Relation.

Imbedding nonlocality in a relativistic chronology

An alternative description imbedding nonlocality in a relativistic chronology is proposed. It is argued that vindication of Quantum Mechanics in experiments with moving beam-splitters would mean that there is no real time ordering behind the nonlocal correlations PACS numbers : 03.65.Bz, 03.30.+p, 03.67.Hk, 42.79.J The relationship between Quantum Mechanics and Relativity has been object of vas...

The Imbedding Sum of a Graph

The automorphisms of a graph act naturally on its set of labeled imbeddings to produce its unlabeled imbeddings. The imbedding sum of a graph is a polynomial that contains useful information about a graph’s labeled and unlabeled imbeddings. In particular, the polynomial enumerates the number of different ways the unlabeled imbeddings can be vertex colored and enumerates the labeled and unlabele...

A Rough Differentiable Function

A real-valued continuously differentiable function f on the unit interval is constructed such that ∞ ∑ k=1 βf (x, 2 −k) = ∞ holds for every x ∈ [0, 1]. Here βf (x, 2−k) measures the distance of f to the best approximating linear function at scale 2−k around x.