On Characterizing Derivatives

ON CHARACTERIZING DERIVATIVES D . preiss and m . tartaglia

We show that the set of derivatives of real functions of a real variable can be characterized by prescribing, for each subset of the real line, the set of its possible inverse images. For a long time various authors have studied problems whose solutions would bring us closer to a characterization of those functions which are derivatives of a real-valued function of a real variable. The developm...

The Problem of Characterizing Derivatives Revisited

“It will be noticed . . . we have adopted as one of our assumptions the condition that the integrand should be a differential coefficient with respect to one of the variables . . . In the present state of our knowledge we cannot give any but very special sets of sufficient conditions that a function should have the property of being a differential coefficient, so that the introduction of a cond...

synthesis and characterizing radiosensitizing effect of nitroimidazole derivatives and 5-fu in hypoxic ht-29 cell

Characterizing sub-topical functions

In this paper, we first give a characterization of sub-topical functions with respect to their lower level sets and epigraph. Next, by using two different classes of elementary functions, we present a characterization of sub-topical functions with respect to their polar functions, and investigate the relation between polar functions and support sets of this class of functions. Finally, we obtai...

On Characterizing the Physical∗

In previous work (Wilson forthcoming), I have endorsed an account of the physical according to which an entity is physical just in case it is (approximately accurately) treated by current or future (in the limit of inquiry, ideal) physics, and is not fundamentally mental. Call this account of the physical the physics-based NFM (“no fundamental mentality”) account. The physics-based NFM account ...