Selected remarks about RDE test

Remarks about Euclidean Domains

We will call (1) the d-inequality. Sometimes it is expressed in a different way: for nonzero a and b, if a|b then d(a) ≤ d(b). This is equivalent to the d-inequality, taking into account of course the different roles of a and b in the two descriptions. Examples of Euclidean domains are Z (with d(n) = |n|), F [T ] for any field F (with d(f) = deg f ; this example is the reason that one doesn’t a...

Remarks about Schlumprecht space

Let S denote the Schlumprecht space. We prove that 1. l∞ is finitely disjointly respresentable in S; 2. S contains an l1-spreading model; 3. for any sequence (nk) of natural numbers, S is isomorphic to the space ( ∑∞ k=1⊕ lnk ∞ ) S . Let (ei) ∞ i=1 be the standard basis of the linear space c00, the set of all finitely supported sequences. For x = ∞ ∑ i=1 aiei ∈ c00, suppx denotes the set {i ∈ N...

Remarks about metastability

some remarks about m. c. f. and other methods of complement fixation test for syphilis

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Selected Remarks about Computer Processing in Terms of Flow Control and Statistical Mechanics

Despite the fact that much has been said about processing in computer science, it seems that there is still much to do. A classical approach assumes that the computations done by computers are a kind of mathematical operation (calculations of functions values) and have no special relations to energy transformation and flow. However, there is a possibility to get a new view on selected topics, a...