Let P d denote the space of all real polynomials of degree at most d. It is an old result of Stein and Wainger [4] that sup P ∈P d ˛ ˛ ˛ ˛ p.v. Z R e iP (t) dt t ˛ ˛ ˛ ˛ ≤ C d for some constant C d depending only on d. On the other hand, Carbery, Wainger and Wright in [2] claim that the true order of magnitude of the above principal value integral is log d. We prove that sup P ∈P d ˛ ˛ ˛ ˛ p.v....

Several identities for the Riemann zeta-function ζ(s) are proved. For example, if s = σ + it and σ > 0, then ∞ −∞ (1 − 2 1−s)ζ(s) s 2 dt = π σ (1 − 2 1−2σ)ζ(2σ). Let as usual ζ(s) = ∞ n=1 n −s (ℜe s > 1) denote the Riemann zeta-function. The motivation for this note is the quest to evaluate explicitly integrals of |ζ(1 2 + it)| 2k , k ∈ N, weighted by suitable functions. In particular, the prob...

Gas and oil reservoirs have been the focus of modeling efforts for decades as an attempt to locate zones with high volumes. Certain subsurface layers and layer sequences, such as those containing shale, are known to be impermeable to gas and/or liquid. Oil and natural gas then become trapped by these layers, making it possible to drill wells to reach the supply, and extract for use. The drillin...

Resiko terjadinya blowout akibat tekanan pori yang berlebih pada proses pengeboran di industri minyak dan gas bumi semakin tinggi. Prediksi keberadaan overpressure menjadi sangat penting untuk dilakukan guna mengantisipasi hal tersebut terjadi. Cekungan Jawa Timur sebagai lokasi penelitian merupakan salah satu cekungan sedimen penghasil hidrokarbon utama Indonesia akan tetapi juga sering ditemu...

Many innovative approaches to using data to make inferences about aspects of the natural world necessitate the calculation and appraisal of large numbers of alternative models or the repeated sampling of a multi-parameter solution space. While this is not new to science, it has hitherto been restricted to either very simple models, or to institutions with powerful computing infrastructure. Such...

The merger of Cingular and AT&T Wireless created the single largest national-footprint wireless carrier within the U.S. Two Regional Bell Operating Companies (RBOCs), SBC and BellSouth, wholly own and control the merged entity. In addition, the second-largest wireless firm post-merger, Verizon Wireless, is also an affiliate of another RBOC. Evidence raised in the public record indicates that th...

Using multi-frequency cross-correlation fluorometry, the monomer fluorescence lifetime of 1-palmitoyl-2-[10-(1-pyrenyl)decanoyl)phosphatidylcholine (Py-PC) was employed to determine the lateral diffusion constant (DT) of dioleoylphosphatidylethanolamine (DOPE) in both the lamellar (L alpha) and the inverted hexagonal (HII) phases. The values of DT increased with temperature in both phases. Howe...

this paper estimates demand functions for wireless and wireline phone, using almost ideal demand system (aids) and attempts to test the hypothesis of substitutability between wireless and wireline in iran. the results indicate that the number of mobile subscribers has been growing more than the number of wireline subscribers over studied period. this maybe because of lower price of mobile acces...

In order increase capacity in the wireless domain, the signals from several distributed receivers may be combined. The combining of these signals typically requires transmission over a wireline network. In the wireline domain, signals may be transmitted to a single centralized processing node or may be processed in a distributed fashion at several nodes in the network. We compare, for white Gau...

Let ∆(x) denote the error term in the Dirichlet divisor problem, and E(T) the error term in the asymptotic formula for the mean square of |ζ(1 2 + it)|. If E * (t) = E(t) − 2π∆ * (t/2π) with ∆ * (x) = −∆(x) + 2∆(2x) − 1 2 ∆(4x) and we set T 0 E * (t) dt = 3πT /4 + R(T), then we obtain R(T) = O ε (T 593/912+ε), T 0 R 4 (t) dt ≪ ε T 3+ε , and T 0 R 2 (t) dt = T 2 P 3 (log T) + O ε (T 11/6+ε), whe...