It is well known that the Haar and Shannon wavelets in L2(R) are at opposite extremes, in the sense that the Haar wavelet is localized in time but not in frequency, whereas the Shannon wavelet is localized in freqency but not in time. We present a rich setting where the Haar and Shannon wavelets coincide and are localized both in time and in frequency. More generally, if R is replaced by a grou...

Journal of Natural History Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713192031 Larval and early juvenile development in Paralomis granulosa (Jacquinot) (Decapoda: Anomura: Paguroidea: Lithodidae), with emphasis on abdominal changes in megalopal and crab stages P. A. McLAUGHLIN a; K. Anger b; A. Kaffenber...

ABSTRACT First Person is a series of interviews with the first authors selection papers published in Journal Cell Science, helping early-career researchers promote themselves alongside their papers. Shannon McMahon author on ‘DNAJB chaperones suppress destabilised protein aggregation via region distinct from that used to inhibit amyloidogenesis’, JCS. PhD student lab Heath Ecroyd at Molecular H...

Based on the local Shannon entropy concept in information theory, a new measure of aromaticity is introduced. This index, which describes the probability of electronic charge distribution between atoms in a given ring, is called Shannon aromaticity (SA). Using B3LYP method and different basis sets (6-31G**, 6-31+G** and 6-311++G**), the SA values of some five-membered heterocycles, C(4)H(4)X, a...

Shannon wavelets are used to define a method for the solution of integrodifferential equations. This method is based on 1 the Galerking method, 2 the Shannon wavelet representation, 3 the decorrelation of the generalized Shannon sampling theorem, and 4 the definition of connection coefficients. The Shannon sampling theorem is considered in a more general approach suitable for analysing function...

In this paper, informational (Shannon) measures of symmetry are introduced and analyzed for patterns built 1D 2D shapes. The measure Hsym(G) characterizes the averaged uncertainty in presence elements from group G a given pattern, whereas Shannon-like Ωsym(G) quantifies appearance shapes possessing total n belonging to pattern. Hsym(G1)=Ωsym(G1)=0 irregular, non-symmetric shapes, where G1 is id...