Results 111 to 120 of about 1,950,938 (331)
Forum of Mathematics, SigmaWe study the timelike asymptotics for global solutions to a scalar quasilinear wave equation satisfying the weak null condition. Given a global solution u to the scalar wave equation with sufficiently small $C_c^\infty $ initial data, we derive an
Dongxiao Yu
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Asymptotic unboundedness of the norms of delayed matrix sine and cosine
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper, the asymptotic properties of recently defined special matrix functions called delayed matrix sine and delayed matrix cosine are studied. The asymptotic unboundedness of their norms is proved.
Zdenek Svoboda
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Predicting cervical cancer DNA methylation from genetic data using multivariate CMMP
Canadian Journal of Statistics, EarlyView.Abstract Epigenetic modifications link the environment to gene expression and play a crucial role in tumour development. DNA methylation, in particular, is gaining attention in cancer research, including cervical cancer, the focus of this study.
Hang Zhang +5 more
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A series transformation formula and related polynomials
International Journal of Mathematics and Mathematical Sciences, 2005 We present a formula that turns power series into series of functions. This formula serves two purposes: first, it helps to evaluate some power series in a closed form; second, it transforms certain power series into asymptotic series.
Khristo N. Boyadzhiev
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Schanuel's theorem for heights defined via extension fields [PDF]
, 2014 Let $k$ be a number field, let $\theta$ be a nonzero algebraic number, and let $H(\cdot)$ be the Weil height on the algebraic numbers. In response to a question by T. Loher and D. W. Masser, we prove an asymptotic formula for the number of $\alpha \in k$
Frei, Christopher, Widmer, Martin
core
Asymptotic Formulae via a Korovkin‐Type Result
Abstract and Applied Analysis, 2012 We present a sort of Korovkin‐type result that provides a tool to obtain asymptotic formulae for sequences of linear positive operators.
Cárdenas-Morales, Daniel +2 more
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Canadian Journal of Statistics, EarlyView.Abstract We establish the consistency and the asymptotic distribution of the least squares estimators of the coefficients of a subset vector autoregressive process with exogenous variables (VARX). Using a martingale central limit theorem, we derive the asymptotic normal distribution of the estimators. Diagnostic checking is discussed using kernel‐based
Pierre Duchesne +2 more
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Asymptotic properties of cross‐classified sampling designs
Canadian Journal of Statistics, EarlyView.Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
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Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case
Advances in Difference Equations, 2010 We discuss in detail the error bounds for asymptotic solutions of second-order linear difference equation where and are integers, and have asymptotic expansions of the form , , for large values of , , and .
Zhang JM, Cao LH
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An Asymptotic Formula for Binomial Sums
Journal of Number Theory, 1996 This paper studies asymptotic expansions for binomial sums of the form \[ S(n)=\sum^n_{k=0}\begin{pmatrix} n\\ k\end{pmatrix}^{r_0}\begin{pmatrix} n+k\\ k\end{pmatrix}^{r_1}\begin{pmatrix} n+2k\\ k\end{pmatrix}^{r_2}\dots\begin{pmatrix} n+mk\\ k\end{pmatrix}^{r_m}, \] where the \(r_j\) are nonnegative real numbers with \(r_0>0\). The main result is the
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