A series of the form {eq}\sum\limits_{n = 0}^\infty a{{r^n}} = a + ar + a{r^2} + a{r^3} + \cdots {/eq} is called a geometric series with a common ratio, {eq}r {/eq}. The series is convergent for {eq}\left| r \right| < 1 {/eq} and the s...
The exact expressions for the sum rules are obtained by properly "renormalizing" the series, excluding the divergent contribution of the vanishing lowest eigenvalue. For a non--trivial example of a variable density we have applied our formulas to calculate the exact sum rules of order two and ...
The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators In this paper we derive the asymptotic properties of within groups (WG), GMM, and LIML estimators for an autoregressive model with random effects when both... AM Arellano - 《Econometrica》 被引量: 710发表: 2010年...
The Mesopotamian system of sexagesimal counting numbers was based on the progressive series of units 1, 10, 1·60, 10·60, …. It may have bee
Asymptotic series expansions for the bias and mean square error of the logit estimator are developed. In addition, an estimator of the bias and asymptotic ... WELLS,GEORGE,ANTHONY. - The University of Western Ontario (Canada). 被引量: 0发表: 0年 On the Many‐Particle Structure of Green's...
their graphical representations) that couple the tetraquark toMM,\(D\bar{D}\)and\(q\bar{q}\)states, respectively. The kernel of Eq. (7) (term in square brackets) consists of two parts: (i) the kernel\({{\mathcal {V}}}\), defined formally as the sum of the infinite series ...
We read every piece of feedback, and take your input very seriously. Include my email address so I can be contacted Cancel Submit feedback Saved searches Use saved searches to filter your results more quickly Cancel Create saved search Sign in Sign up Reseting focus {...
The alternative series expressions for the evolution operator are reconstructed from the same integral representation, the spectral expansion (when exists) and the sum over classical paths. For noncompact groups, the latter can be interpreted as the (exact) semiclassical approximation, like in the ...
Rahaman. Exact synthesis of reversible circuits using A* algorithm. Journal of Institution of Engineers (Series B), 96(2):121-130, 2015.Datta K, Rathi G K, Sengupta I, et al. Exact Synthesis of Reversible Circuits Using A* Algorithm[J]. Journal of the Institution of Engineers, 2014, ...
In doing so, a series of comparisons of rank sums (i.e., rank sum difference tests) is performed, adjusting the significance level using a Bonferroni correction or more powerful approaches to control the familywise Type-I error rate [3, 4]. Preferably one should use the exact null ...