On the Equivalence of Multiparameter Gaussian Processes

Our purpose is to characterize the multiparameter Gaussian processes, that is Gaussian sheets, that are equivalent in law to the Brownian sheet and to the fractional Brownian sheet. We survey multiparameter analogues of the Hitsuda, Girsanov and Shepp representations. As an application, we study a special type of stochastic equation with linear noise.      

Imaging the cardiovascular system: seeing is believing.

From the basic light microscope through high-end imaging systems such as multiphoton confocal microscopy and electron microscopes, microscopy has been and will continue to be an essential tool in developing an understanding of cardiovascular development, function, and disease. In this review we briefly touch on a number of studies that illustrate the importance of these forms of microscopy in studying cardiovascular biology. We also briefly review a number of imaging modalities such as computed tomography (CT), magnetic resonance imaging (MRI), ultrasound, and positron emission tomography (PET) that, although they do not fall under the realm of microscopy, are imaging modalities that greatly complement microscopy. Finally we examine the role of proper imaging system calibration and the potential importance of calibration in understanding biological tissues, such as the cardiovascular system, that continually undergo deformation in response to strain.     

Aza-Michael reaction: selective mono- versus bis-addition under environmentally-friendly conditions

Aza-Michael reactions between primary amines and methyl propenoate have been investigated under environmentally-friendly solventless heterogeneous catalysis in order to obtain the mono- or the bis-adduct. The reaction conditions can be altered so as to maximise the yields of the required product with high selectivity.     

Optical sensing of parameters crucial for Japanese woodblock print making

Traditional Japanese woodblock printing is a centuries old art form. This time-honoured form of art is at risk of extinction as a consequence of the increasing lack of availability of wild cherry trees, which are a traditionally used woodblock material. Solutions for this material problem have been investigated for several years, but none of the tested materials has been sufficient when compared with the watercolour print quality imprinted by wild cherry woodblocks. To contribute to overcoming this material problem, we have investigated the physical properties of heat-treated woodblock materials made from different wood species. The International Commission on Illumination (CIE) tristimulus values, the CIELAB coordinates, the total reflectance, and the gloss, as well as, the water contact angle from the woodblock surface is observed to have a strong relation to the surface treatment of a woodblock. The surface treatment of a woodblock, in turn, relates to its water delivery, which is the basis for watercolour printing.     

The Katona cycle proof of the Erdős–Ko–Rado theorem and its possibilities

In this paper we give a framework for applying Katona’s cycle proof of the Erd?s–Ko–Rado theorem to other objects. We also show how this method can be realized as a result using homomorphisms of graphs.     

Transient FTIR spectroelectrochemical and stopped-flow detection of a mixed valence (Fe(I)-Fe(II)) bridging carbonyl intermediate with structural elements and spectroscopic characteristics of the di-iron sub-site of all-iron hydrogenase

Iron(I) in biology?: one-electron oxidation of an (Fe(I)-Fe(I)) carbonyl cyanide precursor bearing a proximal thioether group leads to an (Fe(I)-Fe(II)) bridging carbonyl transient with spectral features similar to the di-iron sub-site of the CO inhibited paramagnetic centre of all-iron hydrogenase.     

Isospin breaking in $K\to3\pi$ decays II: radiative corrections

The five different CP conserving amplitudes for the decays are calculated using Chiral Perturbation Theory. The calculation is made to next-to-leading order and includes full isospin breaking. The squared amplitudes are compared with the corresponding ones in the isospin limit to estimate the size of the isospin breaking effects. In this paper we add the radiative corrections to the earlier calculated m _u -m _d and local electromagnetic effects. We find corrections of order 5-10 percent. Received: 8 November 2004, Published online: 18 January 2005 PACS: 13.20.Eb; 12.39.Fe; 14.40.Aq; 11.30.Rd