The problem of dynamic connectivity in graphs has been extensively studied in the cell probe model. The task is to design a data structure that supports addition of edges and checks connectivity between arbitrary pair of vertices. Let w, tq, tu denote the word size, expected query time and worst case update time of a data structure for connectivity on graphs of size n. We provide simplified pro...

Consider a linear regression model with unknown regression parameters 0 and independent errors of unknown distribution. Block the observations into q groups whose independent variables have a common value and measure the homogeneity of the blocks of residuals by a Cramér-von Mises q-sample statistic Tq( ). This statistic is designed so that its expected value as a function of the chosen regress...

Nigella sativa seeds have wide therapeutic effects and have been reported to have significant effects against many ailments such as skin diseases, jaundice, gastrointestinal problems, anorexia, conjunctivitis, dyspepsia, rheumatism, diabetes, hypertension, intrinsic hemorrhage, paralysis, amenorrhea, anorexia, asthma, cough, bronchitis, headache, fever, influenza and eczema. Thymoquinone (TQ) i...

Luminescent materials often suffer from thermal quenching (TQ), limiting the continuation of their applications under high temperatures up to 473 K. The formation defect levels could suppress TQ, but rational synthesis and deep understanding multiple defects-regulated luminescent working in such a wide temperature range still remain challenging. Here, we prepare negative (NTQ) phosphor LiTaO3 :...

Context. Two candidate mechanisms have recently been considered for the nonlinear modulation of solar cycle amplitudes. Tilt quenching (TQ) is a negative feedback between amplitude and mean tilt angle bipolar active regions relative to azimuthal direction; latitude (LQ) consists in positive correlation average emergence regions. Aims. Here we explore importance determining factors behind LQ TQ ...

Let Tq+1 be the q + 1-regular tree and let G be a group of autormophisms acting transitively on the vertices and on the boundary of Tq+1. We give an upper bound for the growth of cocycles with values in any unitary representation of the group G. This bound is optimal by projecting the Haagerup cocycle onto the subspace of the kernel of the divergence. We also obtain a description of functions c...

Glutathione (GSH) plays an important role in maintaining redox homeostasis inside cells. Currently, there are no methods available to quantitatively assess the GSH concentration in live cells. Live cell fluorescence imaging revolutionized the field of cell biology and has become an indispensable tool in current biological studies. In order to minimize the disturbance to the biological system in...

PURPOSE To assess the extent to which glaucomatous damage of the macula can be detected using the summary statistics of a commercial report based upon the circumpapillary retinal nerve fiber layer (cpRNFL) thickness obtained with frequency domain optical coherence tomography (fdOCT). METHODS One hundred forty-three eyes of 143 open-angle glaucoma patients and suspects (56.4 ± 13.8 years) had ...