Van der Pol’s expressions for the gamma function

A Pseudo Upper Bound for the van der Waerden Function

For each positive integer n, let the set of all 2-colorings of the interval [1;n] = f1;2; : : : ;ng be given the uniform probability distribution, that is, each of the 2n colorings is assigned probability 2 n. Let f be any function such that f (k)= logk!∞ as k!∞. For convenience we assume that f (k)2k is always a positive integer. We show that the probability that a random 2-coloring of [1; f (...

گزارش یک مورد سندرم VAN DER WOUDE

On the Growth of a Van Der Waerden-like Function

Let W (3, k) denote the largest integer w such that there is a red/blue coloring of {1, 2, . . . , w} which has no red 3-term arithmetic progression and no block of k consecutive blue integers. We show that for some absolute constant c, W (3, k) ≥ k log k for all k. AMS Mathematics Subject Classification: 05D10

The van der Waals interaction

The interaction between charged particles via the Coulomb interaction is one of the most important features in physics and is familiar to any student of the subject. The way in which electrons and protons bind to form the hydrogen atom is also well known and is a staple of any quantum mechanics course. However, less familiar is the interaction between such bound systems at separation R, which i...

Abstract van der Stelt

Bei Springer blicken wir inzwischen auf eine dreijährige Open-Access Erfahrung zurück. In meinem Beitrag werde ich das spezifische Springer-Modell unter dem Namen Open Choice kurz darstellen und erläutern, wie es im wissenschaftlichen Umfeld angenommen und genutzt wird. Ich werde auch am konkreten Beispiel der Max-Planck-Gesellschaft umreißen, wie wir in einem Pilotprojekt Zeitschriftenabonneme...