BACKGROUND AND OBJECTIVES Serum beta(2)-microglobulin (s beta(2)m) is an established prognostic factor for multiple myeloma and non-Hodgkin's lymphoma, but only limited data suggest an adverse prognostic significance for Hodgkin's lymphoma (HL). This study was undertaken to examine the impact of s beta(2)m on the prognosis of patients with HL. DESIGN AND METHODS s beta(2)m was measured by a r...

The statistical properties of spectra quantum systems within the framework random matrix theory is widely used in many areas physics. These are affected, if two or more sets superposed, resulting from discrete symmetries present system. Superposition $m$ such circular orthogonal, unitary and symplectic ensembles studied numerically using higher-order spacing ratios. For given Dyson index $\beta...

The modified $F(R)$ gravity theory with the function $F(R)=-(1/\beta)\ln(1-\beta R)$ is studied. action at small coupling $\beta$ becomes Einstein--Hilbert action. bound on parameter from local tests $\beta\leq 2\times 10^{-6}$ cm$^2$. We find constant curvature solutions and it was shown that de Sitter space unstable but a solution zero Ricci scalar stable. potential mass of field (scalaron) a...

in this paper, we consider singular and degenerate parabolic equations$$u_t =(x^alpha u_x)_x +u^m (x_0,t)v^{n} (x_0,t),quadv_t =(x^beta v_x)_x +u^q (x_0,t)v^{p} (x_0,t),$$ in $(0,a)times (0,t)$, subject to nulldirichlet boundary conditions, where $m,n, p,qge 0$, $alpha, betain [0,2)$ and $x_0in (0,a)$. the optimal classification of non-simultaneous and simultaneous blow-up solutions is determin...

Transforming growth factor-beta 1 (TGF-beta 1) selectively modulates hematopoietic cell proliferation. The proliferation of FDC-P1 clone MAC-11, a factor-dependent murine myeloid progenitor cell line, was inhibited differentially by TGF-beta 1: strongly in macrophage colony-stimulating factor (M-CSF), mildly in interleukin-3, and not at all in granulocyte-macrophage-CSF (GM-CSF). Flow cytometry...

Robin’s criterion states that the Riemann hypothesis is true if and only inequality $$\sigma (n) < e^{\gamma } \times n \log n$$ holds for all natural numbers $$n > 5040$$ , where (n)$$ sum-of-divisors function of $$\gamma \approx 0.57721$$ Euler–Mascheroni constant. We show Robin are not divisible by some prime between 2 1771559. prove when $$\frac{\pi ^{2}}{6} n' \le $$n>5040$$ $$n'$$ square ...

Scalar-field dark matter (SFDM) halos exhibit a core-envelope structure with soliton-like cores and cold-dark matter(CDM)-like envelopes. Simulations without self-interaction (free-field case) have reported core-halo mass relation of the form ${M}_{c}\ensuremath{\propto}{M}_{h}^{\ensuremath{\beta}}$, either $\ensuremath{\beta}=1/3$ or $\ensuremath{\beta}=5/9$. These results can be understood if...