Results 81 to 90 of about 86,722,945 (268)
On approximation of real numbers by real algebraic numbers [PDF]
Acta Arithmetica, 1999 Let \(\mathbb A_n\) be the set of real algebraic numbers of degree \(n\) and \(H(\alpha)\) be the height of \(\alpha\in \mathbb A_n\). A `best possible' regular system \((\mathbb A_n,N)\), where \(N(\alpha)= (H(\alpha)/ (1+|\alpha|)^n)^{n+1}\), is obtained for approximating real numbers by numbers \(\alpha\) in \(A_n\).
openaire +1 more source
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Efficient removal of liquid aerosols from compressed gas streams is essential in chemical and energy processes. Conventional separators relying on a single mechanism (inertial or centrifugal) struggle to capture both fine and coarse droplets simultaneously.
Son Ung Kang +3 more
wiley +1 more source
Do algebraic numbers follow Khinchin's Law?
, 2022 The coefficients of the regular continued fraction for random numbers are distributed by the Gauss-Kuzmin distribution according to Khinchin's law. Their geometric mean converges to Khinchin's constant and their rational approximation speed is Khinchin's
Müller, Karsten +3 more
core
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Hybrid nanofluids have emerged as next‐generation working fluids for advanced engineering application due to their superior heat transport capability in relation to the conventional nanofluids. Motivated by the rising demand for accurate prediction of transport phenomena under realistic operating situations, the present study examines the ...
B. Prabhakar Reddy +3 more
wiley +1 more source
Towards faster real algebraic numbers [PDF]
, 2003 This paper presents a new encoding scheme for real algebraic number manipulations which enhances current Axiom’s real closure. Algebraic manipulations are performed using different instantiations of sub-resultant-like algorithms instead of Euclidean-like
Rioboo, Renaud
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Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Transcendence of numbers related to Episturmian words [PDF]
This thesis relates combinatorial properties of sequences to arithmetic properties of the numbers that they represent. A guiding principle is that numbers whose b- expansion has low subword complexity are either rational or transcendental. This heuristic
Kebis, Pavol
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Contributions to the essential dimension of finite and algebraic groups [PDF]
, 2010 Essential dimension, introduced by Joe Buhler and Zinovy Reichstein and in its most general form by Alexander Merkurjev is a measure of complexity of algebraic objects such as quadratic forms, hermitian forms, central simple algebras and étale algebras ...
Lötscher, Roland
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Biotechnology and Bioengineering, EarlyView.ABSTRACT Accurate prediction of bioprocess scale‐up is critical for accelerating the deployment of novel and sustainable biomanufacturing systems. However, this remains challenging as multi‐scale data is expensive to generate and mechanistic understanding is often incomplete, leading upscaling decisions to rely heavily on empirical expertise. This work
Harvey Al‐Ramadhan +3 more
wiley +1 more source
Brain Health, EarlyView.ABSTRACT Introduction Organizational citizenship behavior (OCB) is generally considered beneficial to organizations, but extra‐role behavior may also impose costs on employees under some circumstances. Whether the workplace, personality, and neuroanatomical correlates of OCB differ between men and women remains unclear.
Keisuke Kokubun +2 more
wiley +1 more source