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An example of a database state in the lextensive category of finite sets, for the EA sketch of our school data specification is provided by any database which models the

We construct a cofibrantly generated model structure on the category of flows such that any flow is fibrant and such that two cofibrant flows are homotopy equivalent for this

In [6], Chen and Saloff-Coste compare the total variation cutoffs between the continuous time chains and lazy discrete time chains, while the next proposition also provides a

The category of (not necessarily unital) commutative von Neumann regular rings satisfies the amalgamation

Incidentally, it is worth pointing out that an infinite discrete object (such as N) cannot have a weak uniformity since a compact space cannot contain an infinite (uniformly)

Here we do not consider the case where the discontinuity curve is the conic (DL), because first in [11, 13] it was proved that discontinuous piecewise linear differential

The main theorem of this section counts the total number of paths, in three-dimensional cube, of length m that end in the horizontal plane.. Again the proof uses

Classical Sturm oscillation theory states that the number of oscillations of the fundamental solutions of a regular Sturm-Liouville equation at energy E and over a (possibly