Taming the Cantor fence

Jumping over the fence

The nuclear envelope forms a cocoon that surrounds the cellular genome keeping it out of harm's way and can be utilized by the cell as a means of functionally regulating chromatin structure and gene expression. At the same time, this double-layered membrane system constitutes a formidable obstacle to the unimpeded flow of genetic information between the genome and the rest of the cell. The nucl...

The Cantor Set

Analysis is the science of measure and optimization. As a collection of mathematical fields, it contains real and complex analysis, functional analysis, harmonic analysis and calculus of variations. Analysis has relations to calculus, geometry, topology, probability theory and dynamics. We will focus mostly on ”the geometry of fractals” today. Examples are Julia sets which belong to the subfiel...

The Cantor Set 1

The articles [10], [4], [12], [11], [7], [13], [2], [3], [6], [8], [5], [1], and [9] provide the notation and terminology for this paper. Let Y be a set and let x be a non empty set. Note that Y 7−→ x is non-empty. Let X be a set and let A be a family of subsets of X . The functor UniCl(A) yields a family of subsets of X and is defined as follows: (Def. 1) For every subset x of X holds x ∈ UniC...

Taming the White Bear

Previous research indicates that prior information about a target feature, such as its color, can speed search. Can search also be speeded by knowing what a target will not look like? In the two experiments reported here, participants searched for target letters. Prior to viewing search displays, participants were prompted either with the color in which one or more nontarget letters would appea...

Taming the Quanta