Results 81 to 90 of about 56,412,384 (265)
On approximation of real numbers by real algebraic numbers [PDF]
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
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
Simultaneous approximation to real and p-adic numbers
In this thesis, we study the problem of simultaneous approximation to a fixed family of real and p-adic numbers by roots of integer polynomials of restricted type. The method that we use for this purpose was developed by H. DAVENPORT and W.M.
Zelo, Dmitrij
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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
Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety [PDF]
This work is the third part of a series of papers. In the first two we considered curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian variety in general.
Viada, Evelina
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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
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
On simultaneous approximation to a real number and its cube by rational numbers
One of the fundamental problems in Diophantine approximation is approximation to real numbers by algebraic numbers of bounded degree. In 1969, H. Davenport and W. M. Schmidt developed a new method to approach the problem. This method combines a result on
Lozier, Stephane
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Distribution theory of algebraic numbers
The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers.
Yang, Chung-Chun, Hu, Pei-Chu
core
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

