A strong coloring on a cardinal $\kappa$ is function $f:[\kappa]^2\to \kappa$ such that for every $A\subseteq of full size $\kappa$, color $\gamma<\kappa$ attained by $f\upharpoonright[A]^2$. The symbol $\kappa\nrightarrow [\kappa]^2_\kappa$ asserts the existence $\kappa$. We introduce $\kappa\nrightarrow_p[\kappa]^2_\kappa$ which over partition $p:[\kappa]^2\to\theta$. $f$ $p$ if $A\in [\kappa...

OBJECTIVE This investigation aims to evaluate the validity of a Persian Tanner Stages Self-Assessment Questionnaire. METHODS In this cross sectional study, 190 male students aged 8-16 years selected from three layers of different regions of Tehran (North, Central and South) were enrolled. A Persian questionnaire illustrated with Tanner stages of puberty (genital development and pubic hair dis...

For many gamma-ray bursts (GRBs), hardness-intensity correlation (HIC) can be described by a power-law function, $E_{\rm p}\propto F^{\kappa}$, where p}$ is the peak energy of $\nu F_{\nu}$ spectrum, and $F$ instantaneous flux. In this paper, HIC non-dissipative photospheric emission from structured jet studied in different regimes. An intermediate photosphere, which contains both unsaturated s...

The fuel layer density of an imploding laser-driven spherical shell is inferred from framed x-ray radiographs. The density distribution is determined by using Abel inversion to compute the radial distribution of the opacity kappa from the observed optical depth tau. With the additional assumption of the mass of the remaining fuel, the absolute density distribution is determined. This is demonst...

we characterize strictly diagonal type of embeddings offinitary symmetric groups in terms of cardinality and the characteristic. namely, we prove thefollowing.let $kappa$ be an infinite cardinal. if$g=underset{i=1}{stackrel{infty}bigcup} g_i,$ where $ g_i=fsym(kappa n_i)$,$(h=underset{i=1}{stackrel{infty}bigcup}h_i, $ where $ h_i=alt(kappa n_i) ), $ is a group of strictly diagonal type and$xi=(...

OBJECTIVE To date, no information on the distribution of periodontal microorganisms among family members of Chinese patients with aggressive peridontitis (AgP) is available. The aim of the present study was to investigate the probability of transmission of eight periodontal microorganisms between patients with aggressive periodontitis and their family members. DESIGN Saliva and pooled subging...

Transfer-matrix methods are used to study the probability distributions of spin-spin correlation functions G in the two-dimensional random-field Ising model, on long strips of width L=3-15 sites, for binary field distributions at generic distance R, temperature T, and field intensity h(0). For moderately high T, and h(0) of the order of magnitude used in most experiments, the distributions are ...