Introduction Compressed Sensing (CS) [1,2] suggests that using nonlinear reconstruction algorithms based on convex optimization an accurate signal reconstruction can be obtained from a number of samples much lower than required by the Nyquist limit. Recently, CS was demonstrated for MR imaging from undersampled data [3, 4]. Prerequisites for a good image reconstruction are the image compressibi...

golden ratio Adam B. Hopkins, Frank H. Stillinger, and Salvatore Torquato Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA Department of Physics, Princeton University, Princeton, New Jersey 08544, USA Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA School of Natural Sciences, Institute for Advanced Study, Princeton,...

The Golden ratio is an irrational number that has a tendency to appear in many different scientific and artistic fields. It may be found natural phenomena across vast range of length scales; from galactic atomic. In this review, the mathematical properties are discussed before exploring where nature it claimed appear; beginning at astronomical scales progressing smaller lengths, until reaching ...

We consider the scheduling problem of minimizing the average weighted job completion time on a single machine under precedence constraints. We show that this problem with arbitrary job weights, the special case of the problem where all job weights are one, and several other special cases of the problem all have the same approximability threshold with respect to polynomial time approximation alg...

OBJECTIVES To obtain maxillary anterior tooth dimension and proportion values for the Central Chinese population and to evaluate the existence of sexual dimorphism, any consistent relationships between the tooth ratios, and the presence of golden proportions. METHODS Tooth dimensions and proportions of six maxillary anterior teeth were recorded on gypsum casts obtained from 147 subjects (82 w...