The first general Zagreb index is defined as $M_1^lambda(G)=sum_{vin V(G)}d_{G}(v)^lambda$. The case $lambda=3$, is called F-index. Similarly, reformulated first general Zagreb index is defined in terms of edge-drees as $EM_1^lambda(G)=sum_{ein E(G)}d_{G}(e)^lambda$ and the reformulated F-index is $RF(G)=sum_{ein E(G)}d_{G}(e)^3$. In this paper, we compute the reformulated F-index for some grap...

 Let $P(lambda)$ be an $n$-square complex matrix polynomial, and $1 leq k leq n$ be a positive integer. In this paper, some algebraic and geometrical properties of the $k$-numerical range of $P(lambda)$ are investigated. In particular, the relationship between the $k$-numerical range of $P(lambda)$ and the $k$-numerical range of its companion linearization is stated. Moreover, the $k$-numerical...

Using the zero-phonon line (ZPL) emission of a single molecule, we realized a triggered source of near-infra-red (lambda = 785 nm) single photons at a high repetition rate. A Weierstrass solid immersion lens is used to image single molecules with an optical resolution of 300 nm (approximately 0.4lambda) and a high collection efficiency. Because dephasing of the transition dipole due to phonons ...

A series of four large deletions that removed a total of ca. 36 kb of DNA from the ca. 70-kb Yersinia pestis pCD1 virulence plasmid were constructed using lambda Red-mediated recombination. Escherichia coli hha deletion mutants carrying the virulence plasmid with the deletions expressed a functional calcium-regulated type III secretion system. The E. coli hha/pCD1 system should facilitate molec...

Production of recombinant DNA in bacterial cells is an essential technique in molecular biology. Plasmids are usually maintained in an E. coli host by antibiotic selection. However, there are only a few antibiotic-resistance markers available in common use. Here we report the adoption of a novel selection marker, mfabI (mutant fabI) for plasmid propagation in E. coli. mfabI expands the limited ...

Precarthamin, a yellow precursor of carthamin, was efficiently isolated from the yellow petals of safflower (Carthamus tinctorius L. ) with Sephadex LH-20 column chromatography and preparative HPLC, and identified with UV-vis and NMR spectrometry. The UV-vis spectrum of precarthamin showed lambda(max) of 238 and 406 nm in MeOH. The molar extinction coefficients of precarthamin at 406 nm in MeOH...

A rapid and sensitive spectrophotometric method is proposed for determination of metronidazole and secnidazole. The method depends on the reduction of metronidazole and secnidazole molecule with zinc dust and hydrochloric acid flowed by diazotization and coupling with 8-quinolinol to give red colored chromogens easily measured spectrophotometrically which has lambda(max) = 500 nm. The experimen...

Dye-sensitized solar cells (DSSCs) were assembled by using the bougainvillea flowers, red turnip and the purple wild Sicilian prickly pear fruit juice extracts as natural sensitizers of TiO(2) films. The yellow orange indicaxanthin and the red purple betacyanins are the main components in the cocktail of natural dyes obtained from these natural products. The best overall solar energy conversion...

Congo red staining is rarely the source of false positives for amyloid. On the other hand, the heat artifact due to cautery in surgical specimens adopts some hyaline features, which can mimic amyloid deposits many times. Therefore, we decided to investigate the behavior of these artifacted areas with some of the ancillary techniques that are commonly used when diagnosing amyloidosis: Congo red ...