On Fields with Finite Information Density

The existence of a natural ultraviolet cutoff at the Planck scale is widely expected. In a previous Letter, it has been proposed to model this cutoff as an information density bound by utilizing suitably generalized methods from the mathematical theory of communication. Here, we prove the mathematical conjectures that were made in this Letter.Comment: 31 pages, to appear in Phys.Rev.

Kemampuan Komunikasi Matematis Siswa Dikaji dari Teori Bruner dalam Materi Trigonometri di SMA

This research aims to explain students' mathematical comunnication ablity studied on Bruner's Theory in materials trigonometry. research methods used is descriptive method within survey studies. This research was conducted at SMA Negeri 02 Pontianak with 34 students as subjects. The results of studied mathematical communication ability test on bruner's theory and interview showed that mathematical communication ability studied on Bruner's Theory in materials trigonometry in SMA Negeri 02 pontianak classified as moderate with a percentage of 75% or can be seen from each group mathematical communication ability studied on Bruner's Theory on each category exist five students (17.70%) at the high category, twenty one students (61.77%) are in medium category, and eight students (23.53%) are in the low category