In recent years probability theory has been formulated mathematically as measure theory; in the case of stochastic processes depending upon a continuous parameter the measures considered are defined on certain subspaces of the space of all functions of a real variable.! This formulation of stochastic processes depending upon a continuous parameter gives rise to certain measurability problems, a...

One can prove the following propositions: (1) For all extended real numbers x, y holds |x− y| = |y − x|. (2) For all extended real numbers x, y holds y − x ≤ |x− y|. (3) Let x, y be extended real numbers and e be a real number. Suppose |x − y| < e and x 6= +∞ or y 6= +∞ but x 6= −∞ or y 6= −∞. Then x 6= +∞ and x 6= −∞ and y 6= +∞ and y 6= −∞. (4) For all extended real numbers x, y such that for...

1 Motivation and Background Due to high market pressure, development of industrial software has to become cheaper, more exible, more reliable, and more eecient. Thus for all software development projects, improvement of the software development process has become an important objective. In order to be able to speak about and to reach improvement, two prerequisites have to be fulllled. First, ex...

amsppt.styFSp90a.tex Pointwise compact and stable sets of measurable functions Introduction In a series of papers culminating in [Ta84], M.Talagrand, the second author and others investigated at length the properties and structure of pointwise compact sets of measurable functions. A number of problems, interesting in themselves and important for the theory of Pettis integration, were solved sub...

Part of the scientific enterprise is to measure the material world and to explain its dynamics by means of models. However, not only is measurability of the world limited, analyzability of models is so, too. Most often, computer simulations offer a way out of this epistemic bottleneck. They instantiate the model and may help to analyze it. In relation to the material world a simulation may be r...

This white paper targets power supply engineers and managers alike by providing measurable data in favor of switching to digital power supplies. A power supply designer will find novel implementation ideas to easily achieve and exceed design objectives. Based on the many benefits of digital power described in this white paper, engineering managers will be able to make an informed decision and c...

Diamond photoconductive detectors have previously been shown to be suitable for detection of deep ultraviolet nanosecond-scale pulses from excimer lasers, which are to be used in next generation lithographic systems. Using simple test circuitry and low bias voltages easily measurable responses were observed when these detectors were illuminated with laser pulses at typical laser fluence levels....