Let p 6= 1 be a positive real number. We determine all real numbers α = α(p) and β = β(p) such that the inequalities [1− e−βx p ] < 1 Γ(1 + 1/p) ∫ x 0 e−t p dt < [1− e−αx p ] are valid for all x > 0. And, we determine all real numbers a and b such that − log(1− e−ax) ≤ ∫ ∞ x e−t t dt ≤ − log(1− e−bx)

Porosity is a key parameter for reservoir evaluation. Inferring the porosity from seismic data often challenging and prone to uncertainties due number of factors. The main aim this paper show applicability inversion on old vintage map spatial at level. 3D-seismic wireline log are used properties Lower Goru productive sands in Gambat Latif block, Central Indus Basin, Pakistan. formation was inte...

We discuss petrophysical analysis of wireline logs, methods for formation evaluation and issues in evaluating tight sandstone formations. The main concerns of log interpretation in tight gas sandstones include porosity interpretation, understanding the effect of clay on the log responses, accurate computation of water saturation, and permeability determination (Kukal et al., 1985). Moreover, va...

BACKGROUND We evaluated the possible use of prostate-specific antigen doubling time (PSA-DT) before chemotherapy initiation as a surrogate marker of survival in hormone-refractory prostate cancer (HRPC) patients. PATIENTS AND METHODS Data from 250 consecutive metastatic HRPC patients treated with chemotherapy between February 2000 and November 2006 were retrospectively analysed. At least thre...

We establish some inequalities involving $\log(1+x)$ using elementary techniques. Using these inequalities, we show an alternate approach to evaluate the integral $\int\limits_1^\infty \frac{\log t}{t^2}\,dt$. This is later used asymptotic value of a logarithmic sum.

PURPOSE to use complementary cine EPID and gimbals log file analysis for in-vivo tracking accuracy monitoring. METHODS A clinical prototype of dynamic tracking (DT) was installed on the Vero SBRT system. This prototype version allowed tumor tracking by gimballed linac rotations using an internal-external correspondence model. The DT prototype software allowed the detailed logging of all appli...

A set of positive integers is said to be primitive if no element of the set is a multiple of another. If S is a primitive set and S(x) is the number of elements of S not exceeding x, then a result of Erdős implies that ∫∞ 2 (S(t)/t log t) dt converges. We establish an approximate converse to this theorem, showing that if F satisfies some mild conditions and ∫∞ 2 (F (t)/t log t) dt converges, th...