Once justified, definition by transfinite induction can be used as the basis for completely general definitions of the arithmetic operations on ordinal numbers, for the definition of the aleph numbers, and so on.
For more general definitions, one can see, e.g., [[12], Definition 8.2].
For all general definitions we refer to [20, 26] or [27].
However, for this paper, individual conceptions of privacy are more important than general definitions.
For the more general definitions, involving different kinds of weight functions, both in the time and the frequency variables, we refer the readers to [13].
These promising results could open new avenues for the identification of novel genes for a general definition of MO/macrophage activation patterns and for pathways activated or blocked during different stages of the disease or therapy-induced remission in RA.
Our result holds for a general definition of survivability and for any norm whose ball is specified by a piecewise algebraic curve of bounded degree and with a bounded number of pieces.
In order to sketch the general theory in metric spaces, first we need to give (or recall) general definitions for the three main objects that we need in the EDE and EVI properties, characterizing gradient flows: the notion of speed of a curve, that of slope of a function (somehow the modulus of its gradient) and that of (geodesic) convexity.
As the above illustration of an abstract concept suggests, and as the editors of the ODO should recognise, giving examples, to quote Wittgenstein again, "is not an indirect means of explaining … For any general definition can be misunderstood too".
For the general definition of spaces, their relationships and the passage between them, a simple graph can be sufficient.
Both terms largely refer to the production process and thus above all to input, throughput, and output (for a general definition, see, e.g. Ahn and Dyckhoff 2004).
