Results 61 to 70 of about 8,682 (260)

General Formula for limit of square function at infinity

open access: yesDesimal, 2018
Determination of the limit value of a function is an important things. Basically, the limit is used to look at the "properties" function value around the point.
Bonno Andri Wibowo   +2 more
doaj   +1 more source

Transient modeling of extraction columns: Parameter estimation, uncertainty analysis, and operation optimization

open access: yesAIChE Journal, EarlyView.
Abstract Despite extensive modeling efforts in extraction research, transient column models are rarely applied in industry due to concerns regarding parameter identifiability and model reliability. To address this, we analyzed uncertainty propagation from estimated parameters in a previously introduced column model and assessed identifiability via ill ...
Andreas Palmtag   +2 more
wiley   +1 more source

Vector Spaces of New Special Magic Squares: Reflective Magic Squares, Corner Magic Squares, and Skew-Regular Magic Squares

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2016
The definition of a regular magic square motivates us to introduce the new special magic squares, which are reflective magic squares, corner magic squares, and skew-regular magic squares.
Thitarie Rungratgasame   +4 more
doaj   +1 more source

Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization

open access: yesAIChE Journal, EarlyView.
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed   +4 more
wiley   +1 more source

Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra

open access: yesPhysical Review Physics Education Research, 2019
Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations.
Emily M. Smith   +2 more
doaj   +1 more source

Squared cycles in monomial relations algebras

open access: yesCentral European Journal of Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Monitoring and control of a continuous, integrated filtration‐drying system with in‐line mass spectrometry via PharmaPy

open access: yesAIChE Journal, EarlyView.
Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur   +3 more
wiley   +1 more source

Sequential Monte Carlo with likelihood tempering and parallel implementation for uncertainty quantification

open access: yesAIChE Journal, EarlyView.
Abstract Bayesian estimation enables uncertainty quantification, but analytical implementation is often intractable. As an approximate approach, the Markov Chain Monte Carlo (MCMC) method is widely used, though it entails a high computational cost due to frequent evaluations of the likelihood function.
Tatsuki Maruchi   +2 more
wiley   +1 more source

Approximating the principal matrix square root using some novel third-order iterative methods

open access: yesAin Shams Engineering Journal, 2018
It is known that the matrix square root has a significant role in linear algebra computations arisen in engineering and sciences. Any matrix with no eigenvalues in R- has a unique square root for which every eigenvalue lies in the open right half-plane ...
Amir Sadeghi
doaj   +1 more source

AI in chemical engineering: From promise to practice

open access: yesAIChE 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

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