排序方式: 共有19条查询结果,搜索用时 31 毫秒
11.
Bush CE Goldston RJ Scott SD Fredrickson ED McGuire K Schivell J Taylor G Barnes CW Bell MG Boivin RL Bretz N Budny RV Cavallo A Efthimion PC Grek B Hawryluk R Hill K Hulse RA Janos A Johnson DW Kilpatrick S Manos DM Mansfield DK Meade DM Park H Ramsey AT Stratton B Synakowski EJ Towner HH Wieland RM Zarnstorff MC Zweben S 《Physical review letters》1990,65(4):424-427
12.
Eich T Sieglin B Scarabosio A Fundamenski W Goldston RJ Herrmann A;ASDEX Upgrade Team 《Physical review letters》2011,107(21):215001
Experimental measurements of the SOL power decay length (λ(q)) estimated from analysis of fully attached divertor heat load profiles from two tokamaks, JET and ASDEX Upgrade, are presented. Data was measured by means of infrared thermography. An empirical scaling reveals parametric dependency λ(q) in mm = 0.73B(T)(-0.78)q(cyl)(1.2)P(SOL)(0.1)R(geo)(0), where B(T)(T) describes the toroidal magnetic field, q(cyl) the cylindrical safety factor, P(SOL)(MW) the power crossing the separatrix and R(geo)(m) the major radius of the device. A comparison of these measurements to a heuristic particle drift-based model shows satisfactory agreement in both absolute magnitude and scaling. Extrapolation to ITER gives λ(q) ? 1 mm. 相似文献
13.
We prove thatwhere p n denotes the nth prime. Since on average p n+1?p n is asymptotically log n , this shows that we can always find pairs of primes much closer together than the average. We actually prove a more general result concerning the set of values taken on by the differences p?p′ between primes which includes the small gap result above.
相似文献
$ \mathop{ \lim \inf}\limits_{n \rightarrow \infty} \frac{p_{n+1}-p_{n}}{\sqrt{\log p_{n}} \left(\log \log p_{n}\right)^{2}}< \infty, $
14.
Archiv der Mathematik - In this paper, we obtain bounds on the $$L^1$$ -norm of the sum $$\sum _{n\le x}\tau (n)e(\alpha n)$$ where $$\tau (n)$$ is the divisor function. 相似文献
15.
Jhaveri SD Mauro JM Goldston HM Schauer CL Tender LM Trammell SA 《Chemical communications (Cambridge, England)》2003,(3):338-339
Apo-myoglobin, labeled with the environmentally sensitive redox probe RuII(NH3)4(1,10-phenanthroline-5-maleimide)2+, was immobilized onto gold electrodes modified with 11-mercaptoundecanoic acid and subsequently labeled with biotin; avidin binding to the immobilized biotin was specifically and quantitatively detected by a change in cyclic voltammetry of the co-immobilized probe. 相似文献
16.
Let S(t) denote the argument of the Riemann zeta-function atthe point 1/2 + it. Assuming the Riemann hypothesis, we sharpenthe constant in the best currently known bounds for S(t) andfor the change of S(t) in intervals. We then deduce estimatesfor the largest multiplicity of a zero of the zeta-function,and for the largest gap between the zeros. 相似文献
17.
Goldston HM Scribner AN Trammell SA Tender LM 《Chemical communications (Cambridge, England)》2002,(5):416-417
Electrode-immobilized microperoxidase-11 exhibited a titratable potentiometric response to imidazole, demonstrating both molecular recognition and the capability for "switchable" changes in the affinity of an immobilized redox-receptor for a target ligand. 相似文献
18.
Goldston D. A.; Gonek S. M.; Ozluk A. E.; Snyder C. 《Proceedings London Mathematical Society》2000,80(1):31-49
To study the distribution of pairs of zeros of the Riemann zeta-function,Montgomery introduced the function
where is real and T 2, and ' denote the imaginary parts ofzeros of the Riemann zeta-function, and w(u) = 4/(4 + u2). Assumingthe Riemann Hypothesis, Montgomery proved an asymptotic formulafor F() when || 1, and made the conjecture that F() = 1 + o(1)as T for any bounded with || 1. In this paper we use anapproximation for the prime indicator function together witha new mean value theorem for long Dirichlet polynomials andtails of Dirichlet series to prove that, assuming the GeneralizedRiemann Hypothesis for all Dirichlet L-functions, then for any > 0 we have
uniformlyfor and all T T0(). 1991Mathematics Subject Classification: primary 11M26; secondary11P32. 相似文献
19.
We calculate the triple correlations for the truncated divisorsum R(n). The R(n) behave over certain averages just as theprime counting von Mangoldt function (n) does or is conjecturedto do. We also calculate the mixed (with a factor of (n)) correlations.The results for the moments up to the third degree, and thereforethe implications for the distribution of primes in short intervals,are the same as those we obtained (in the first paper with thistitle) by using the simpler approximation R(n). However, whenR(n) is used, the error in the singular series approximationis often much smaller than what R(n) allows. Assuming the GeneralizedRiemann Hypothesis (GRH) for Dirichlet L-functions, we obtainan ±-result for the variation of the error term in theprime number theorem. Formerly, our knowledge under GRH wasrestricted to -results for the absolute value of this variation.An important ingredient in the last part of this work is a recentresult due to Montgomery and Soundararajan which makes it possiblefor us to dispense with a large error term in the evaluationof a certain singular series average. We believe that our resultson the sums R(n) and R(n) can be employed in diverse problemsconcerning primes. 相似文献