Let F be a graph and k be a positive integer. With a graph G, we associate the quantity ck,F (G), the number of k-colorings of the edge set of G with no monochromatic copy of F . Consider the function ck,F : N −→ N given by ck,F (n) = max{ck,F (G) : |V (G)| = n}, the maximum of ck,F (G) over all graphs G on n vertices. In this paper we study the asymptotic behavior of ck,F and describe the extr...

The prevalence of circulating macromolecular creatine kinase type 1 (macro CK type 1 or CK-immunoglobulin complexes) is significantly higher in a patient population selected for CK isoenzyme assay than in age- and sex-matched blood donors (n = 1304). In greater than 8000 patients studied, 49 individuals with macro CK type 1 were identified, yielding an overall prevalence of 0.61%. Macro CK type...

The automated (CK)MB1,2/MM1,2,3 isoform measurement, based on electrophoresis, has been simplified to the point that it has become possible to perform this analysis on a 24-h routine basis. We studied analytical aspects of this analysis and its clinical relevance in relation to other biochemical markers (CK total, CKMB activity, CKMB mass, myoglobin, Troponin I and Troponin T) in patients with ...

Monoclonal antibodies have been raised against human heart- and brain-type creatine kinase (CK-MB and CK-BB). We used a low-affinity monoclonal antibody to develop a simple two-step immunoaffinity purification procedure for native CK-MB. Antibodies of higher affinity were used to construct specific two-site immunoradiometric assays for CK-MB and CK-BB. In the assay for CK-MB we used an 125I-lab...

Cytokinins (CKs) are involved in the regulation of plant development including plastid differentiation and function. Partial location of CK biosynthetic pathways in plastids suggests the importance of CKs for chloroplast development. The impact of genetically modified CK metabolism on endogenous CK, indole-3-acetic acid, and abscisic acid contents in leaves and isolated intact chloroplasts of N...

in this paper we get some results and applications for duals and approximate duals of g-frames in hilbert spaces. in particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of hilbert spaces. we also obtain some results for perturbations of approximate duals.

in this paper, g-dual function-valued frames in l2(0;1) are in-troduced. we can achieve more reconstruction formulas to ob-tain signals in l2(0;1) by applying g-dual function-valued framesin l2(0;1).