Results 71 to 80 of about 157,970 (240)
Simultaneous approximation to algebraic numbers by rationals
Acta Mathematica, 1970 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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AI in chemical engineering: From promise to practice
AIChE Journal, EarlyView.Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
wiley +1 more source
AIChE Journal, EarlyView.Abstract In pharmaceutical industries, continuous manufacturing methods have already been well established to improve productivity and process intensification. However, to better understand the trade‐offs of continuous crystallizers over the existing batch production systems, a robust technoeconomic cost and sustainability analysis is necessary to ...
Jungsoo Rhim, Zoltan K. Nagy
wiley +1 more source
On approximations of solutions of the equation P(z,lnz) = 0 by algebraic numbers
Moscow Journal of Combinatorics and Number Theory, 2020 Let \(d_1\) and \(d_2\) be positive integers. Let \(P(x,y)\in\mathbb Z[x,y]\) such that \(\deg_x =d_1\) and \(\deg_y =d_2\). Then, the authors prove that for every \(\varepsilon >0\) and \(r>0\), the inequality \[|P(\theta,\log\theta)|
Galochkin, Alexander +1 more
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AIChE Journal, EarlyView.Abstract Electrification of distillation offers a promising route to reducing scope‐1 emissions from one of the chemical industry's most energy‐intensive unit operations. However, conventional adiabatic columns are dynamically inflexible: Long, energy‐intensive start‐ups make shutdown and restart impractical under variable electricity prices and ...
Samuel Mercer, Michael Baldea
wiley +1 more source
Two classes of real numbers and formal power series: quasi algebraic objects [PDF]
, 2014 Maurizio Citterio and Rodolfo Talamo, "Two classes of real numbers and formal power series: quasi algebraic objects", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste.
Citterio, Maurizio, Talamo, Rodolfo
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Effective approximation to complex algebraic numbers by quadratic numbers
Canadian Mathematical BulletinAbstractWe establish an effective improvement on the Liouville inequality for approximation to complex nonreal algebraic numbers by quadratic complex algebraic numbers.
Prajeet Bajpai, Yann Bugeaud
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Modeling Multicomponent Fuel Droplet Vaporization with Finite Liquid Diffusivity Using Coupled Algebraic-Dqmom with Delumping [PDF]
, 2018 Multicomponent fuel droplet vaporization models for use in combustion CFD codes often prioritize computational efficiency over model complexity. This leads to oversimplifying assumptions such as single component droplets or infinite liquid diffusivity ...
Cooney, Alanna Y., Singer, Simcha L.
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Effective simultaneous approximation of complex numbers by conjugate algebraic integers [PDF]
Acta Arithmetica, 1993 Soient \(\varepsilon>0\) et \(z_ 1,\dots,z_ n\in\mathbb{C}\), \(n\) (\(\geq 1\)) nombres complexes distincts. Alors il existe un polynôme unitaire (monic) irréductible de degré \(n+1\) à coefficients dans \(\mathbb{Z}[i]\) dont les racines \(\zeta_ 1,\dots,\zeta_{n+1}\) vérifient \(| z_ j- \zeta_ j|
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