Sentence examples for generality in the from inspiring English sources
It is shown that under fairly general conditions such restrictions are without loss of generality in the following sense: If a mechanism M implements a social choice function f on a type space X, then M implements f assuming only that the agentsʼ k-order beliefs are among those described by an open set B containing X, while higher-order beliefs are completely unrestricted.
Hence, these approaches lack generality in the sense that they cannot be used as a general, "knowledge blind" tool for astronomical PSF field estimation.
Without loss of generality, in the following, we consider a receiving array immersed in the field generated by a plurality of remote sources (ideally, located at infinite distance from the array) distributed over the horizon.
Perhaps Ionesco deliberately eschewed Camus' specificity and embraced generality in the hope that for all its antic lack of sophistication, bluster, bustle and loquaciousness, Rhinoceros would remain contemporary and universal.
Without loss of generality, in the following, we assume equals.
This is the first result in full generality in the direction of Bouleau Hirsch conjecture.
Thus, for the sake of generality in this study, the following invariant is used for rotation at the j th node of the i th mode shape.
Therefore, without losing generality, in this section the error threshold is obtained by equating x m (t → ∞) to zero, because in the single-peak landscape the fitness threshold and the wildtype threshold coincide.
For simplicity and without loss of generality, in this paper we consider the case where the inhomogeneous penetrable obstacle is buried in a stratified medium with two layers.
However, at different times, the problem has been studied by different disciplines within the science and engineering fields, and there is a lack of consistency and generality in addressing the various phenomena associated with the problem.
Note that these are generalities — in the real world, much more usually goes into the process of determining whether a certain investment is a wise idea.
