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Multiscale Spatial Fusion Feature‐Driven Characterization of Gastric Cancer Invasive Margins: A Multicenter Cohort Study for Preoperative Accurate Differentiation Between T4a and T4b Subtypes

Advanced Science, EarlyView.
This study develops a multi‐dimensional vision Transformer‐based model, GAVR, to accurately distinguish gastric cancer T4a/b stages preoperatively. Validated across multi‐center cohorts, it achieves excellent performance and significantly improves radiologists’ diagnostic accuracy, offering a promising tool for clinical decision‐making.
Guoliang Zheng, Xiaomiao Chai, Peng Jin, Xin Xin, Yingjie Li, Chun Yang, Jia Wei, Zishuo Yan, Jingyu Zhang, Qianning Zhao, Yingchen Han, Ning Zhang, Fuze Li, Bo Qiao, Huan Wang, Huachuan Zheng, Yan Li, Xin Zhang, Yan Zhao, Wenjun Mao, Jing Zhang   +20 more
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Convergence of generalized continued fractions

International Journal of Computer Mathematics, 1982
A general theory for the convergence of Generalized Continued Fractions, based on an inclusion property of complex regions, is given. Due to the appearance of divisions of complex regions, the theory cannot be applied in the general case. This is even so for the case of complex discs, but for these special regions the theory can be adjusted in order to
exaly   +2 more sources

Pringsheim's theorem for generalized continued fractions [PDF]

Journal of Computational and Applied Mathematics, 1986
In this paper we present a generalization to generalized continued fractions of Pringsheim's theorem on the convergence of ordinary continued ...
Paul Levrie
exaly   +2 more sources

Generalization of continued fractions. I

Journal of Mathematical Sciences, 2012
We constructed a new algebraic object, namely, recursion fractions of the n th order that are n -dimensional generalizations of continued fractions. For the representation and the study of such fractions, we used paradeterminants and triangular matrices.
D. I. Bodnar, R. A. Zators’kyi
openaire   +1 more source

Generalized continued fractions

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Khintchine constants for generalized continued fractions

Applied Mathematics and Computation, 2003
The authors study the limiting behaviour of the Khintchine constants for generalized continued fractions by computer simulations.
Geon Ho Choe, Chihurn Kim
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Convergence acceleration for generalized continued fractions

Transactions of the American Mathematical Society, 1988
The main result in this paper is the proof of convergence acceleration for a suitable modification (as defined by de Bruin and Jacobsen) in the case of an n n
Levrie, Paul, Jacobsen, Lisa
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Generalized continued fractions

Discrete Mathematics and Applications, 1998
The author considers a generalized continued fraction whose expression has the form \[ a_0+\frac{(-1)^{u_1}}{a_1+{\displaystyle \frac{(-1)^{u_2}}{a_2+{\displaystyle \frac{(-1)^{u_3}}{a_3+\dots}}}}}, \] where \(a_i\in\mathbb R\) (\(i=0,1,2,\dots\)) and \(u_i\in\{0,1\}\) (\(i=1,2,\dots\)). In this paper the concept how to represent a real number \(\alpha\
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Stable Evaluation of Generalized Continued Fractions

SIAM Journal on Numerical Analysis, 1981
An error analysis is given for the backward recurrence algorithm for generalized continued fractions. Bounds for the accumulated relative rounding error can be obtained by applying an extension of a technique by Jones and Thron [Math. Comp., 28 (1974), pp. 795–810].
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Generalized continued fractions and ergodic theory

Journal of Mathematical Sciences, 1999
A standard theory of one-dimensional continued fractions is based on the sequential application of the so-called Gauss map and the comparison of the result to zero. The author proposes a generalization of this procedure to the case when one uses some other map, say \(A\), and an arbitrary stopping rule (e.g., the comparison to a given value \(\omega ...
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