𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Infinitary Polynomial van der Waerden Theorem

✍ Scribed by Randall McCutcheon

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
169 KB
Volume
86
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

✦ Synopsis

In the spirit of Hindman's theorem, we prove a joint extension of an infinitary van der Waerden theorem of Furstenberg and a polynomial van der Waerden theorem of Bergelson and Leibman.

1999 Academic Press

FS((n

(0.1) (FS stands for ``finite sums''.)

πŸ“œ SIMILAR VOLUMES

A quintessential proof of van der Waerde
A quintessential proof of van der Waerden's theorem on arithmetic progressions
✍ George Mills πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 362 KB

A particularly well suited induction hypothesis is employed to give a short and relatively direct formulation of van der Waerden's argument which establishes that for any partition of the natural numbers into two classes, one of the classes contains arbitrarily long arithmetic progressions.

Use of injectable calcium-phosphate ceme
Use of injectable calcium-phosphate cement for the fixation of titanium implants: An experimental study in goats
✍ Ooms, E. M. ;Wolke, J. G. C. ;van der Waerden, J. P. C. M. ;Jansen, J. A. πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 530 KB

## Abstract This __in vivo__ study evaluated the fixation of two types of titanium implants with the use of an injectable calcium‐phosphate (CaP) cement. The cement was either used to create a cement mantle (Type A implant) or as an additive to press‐fit placed titanium plasma sprayed implants (Typ