1 The Problem of Instantaneous Rates of Change The concept of the instantaneous rate of change of some physical quantity, position most strikingly, poses a significant philosophical dilemma. Notoriously, Zeno argued, in his arrow paradox, that the very concept of an instantaneous rate of change in position is both unavoidable in the explanation of motion and incoherent. Recently worries about i...

Zeno argued that since at any instant an arrow does not change its location, the arrow does not move at any time, and hence motion is impossible. I discuss the following three views that one could take in view of Zeno’s argument: I) the ‘at-at’ theory, according to which there is no such thing as instantaneous velocity, while motion in the sense of the occupation of different locations at diffe...

We show two universal, Boolean, deterministic logic schemes based on binary noise timefunctions that can be realized without time-averaging units. The first scheme is based on a new bipolar random telegraph wave scheme and the second one makes use of the recent noise-based logic which is conjectured to be the brain’s method of logic operations [Physics Letters A 373 (2009) 2338-2342]. Error pro...

Estimation of the magnitude and frequency of maximum instantaneous discharges and hydrographs are used for a variety of purposes, such as the design of bridges, culverts, flood-control structures; and the management and regulation of floodplains. Fuller (1914), developed a flood-frequency formula based on analysis of flood peaks in hundred of streams to provide simple methods of estimating maxi...

The author of the paper [1] should be commended for his continuous contributions pointing out the deficiencies of many of the available power theories. We fully agree with the author that the instantaneous p-q theory has important deficiencies when it comes to the physical interpretations of the power components. In [2], the author properly states that the main objectives of a power theory incl...

estimation of the magnitude and frequency of maximum instantaneous discharges and hydrographs are used for a variety of purposes, such as the design of bridges, culverts, flood-control structures; and the management and regulation of floodplains. fuller (1914), developed a flood-frequency formula based on analysis of flood peaks in hundred of streams to provide simple methods of estimating maxi...

proper inventory control policy and the optimal price for the items has always been one of the main topics of scientific research and industry. on the other hand, there are many products in the market witch are classified as deteriorating items. therefore the problem of determining optimal price and optimal inventory policy for this type of items is very important. in this paper a 3 echelon sup...

I f an integrable classical Hamiltonian H describing bound motion depends on parameters which are changed very slowly then the adiabatic theorem states that the action variables I of the motion are conserved. Here the fate of the angle uarinbles is analysed. Because of the unavoidable arbitrariness in their definition, angle variables belonging to distinct initial and final Hamiltonians cannot ...

The two-dimensional phase unwrapping problem is studied. Using the minimum Lp-norm approach, we apply three different nonlinear multigrid algorithms for reconstructing surfaces from their “wrapped” values—two classical approaches and a novel Multilevel Nonlinear Method (MNM). The methods prove to be efficient even for difficult problems with noisy and discontinuous original images. The new meth...

We point out that the conventional de"nition of instantaneous amplitude and frequency, namely as the magnitude and derivative of the phase, respectively, of a complex representation of the signal, sometimes contains an ambiguity, even for a unique complex representation (e.g., the analytic signal). There are at least two choices for resolving this ambiguity when it arises. One choice yields a n...