Brentano's rejection of the mathematicians' attempts to construct it in discrete terms is thus hardly surprising.
This estimator is computationally complex but manageable in practice due to the one-dimensional pdfs (cf. discrete terms (28), (31)).
Despite the great success of Weierstrass, Dedekind and Cantor in constructing the continuum from arithmetical materials, a number of thinkers of the late 19th and early 20th centuries remained opposed, in varying degrees, to the idea of explicating the continuum concept entirely in discrete terms.
In discrete terms (see Figure 1), given the digital input image I k1, k2) (where k1 and k2 are the discrete versions of x and y, respectively), the application of an analytic extension generates an "analytic signal" of the form: I AS (k1, k2).
Specific steps used in the development of each questionnaire varied (Table 1) and are described in discrete terms below.
The VAS was selected as the measurement instrument, as opposed to the Likert Scale, because participants' responses did not have to be categorized or were not qualified in discrete terms [ 14].
It was suggested that the definition be split into two discrete terms: "biodiscovery", i.e. the first phase of scientific research into a region's biodiversity, and "bioprospecting", i.e. the second and subsequent phases of the re-collection of biological resources for the purposes of further investigation.
This will allow you to consider the discrete terms of your disclaimer.
Furthermore, we show that this method introduces a new discrete Coriolis term which is based on the interface mass fluxes instead of on straightforward cell-centered evaluation of the source term.
In this paper, we significantly extend the applicability of state-of-the-art ELDP (equations for linearizing discrete product terms) method by providing a new linearization to handle more complicated non-linear terms involving both of discrete and bounded continuous variables.
