Results 101 to 110 of about 609,367 (341)
The Canadian Journal of Chemical Engineering, EarlyView.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
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Modelling of continuous low‐temperature emulsion co‐polymerization in 3D‐printed reactor
The Canadian Journal of Chemical Engineering, EarlyView.A kinetic model for the emulsion copolymerization of butyl acrylate/styrene at low temperatures is proposed and validated against experiments with a redox initiator system. The model was successfully transferred to a 3D‐printed tubular reactor and conversions of more than 80% and small particles sizes below 40 nm were observed.
Ferel Issa +2 more
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Representation of Integral Formulas for the Extended Quaternions on Clifford Analysis
MathematicsThis work addresses a significant gap in the existing literature by developing integral representation formulas for extended quaternion-valued functions within the framework of Clifford analysis. While classical Cauchy-type and Borel–Pompeiu formulas are
Ji Eun Kim
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Subuniformity of harmonic mean p$$ p $$‐values
Canadian Journal of Statistics, EarlyView.Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
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MathematicsWe introduce a new class of division algebras, the hyperpolyadic algebras, which correspond to the binary division algebras R, C, H, O without considering new elements. First, we use the matrix polyadization procedure proposed earlier which increases the
Steven Duplij
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An observation‐driven state‐space model for claims size modelling
Canadian Journal of Statistics, EarlyView.Abstract State‐space models are popular in econometrics. Recently, these models have gained some popularity in the actuarial literature. The best known state‐space models are of the Kalman‐filter type. These are called parameter‐driven because the observations do not impact the state‐space dynamics.
Jae Youn Ahn +2 more
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The classification and representations of ternary quadratic forms with level $ 8N $
AIMS MathematicsIn this paper, we investigated positive definite ternary quadratic forms of level $ 8N $, where $ N $ is an odd positive squarefree integer. Our study makes two main contributions.
Yifan Luo, Haigang Zhou
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Asymptotic properties of cross‐classified sampling designs
Canadian Journal of Statistics, EarlyView.Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
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On ideals in a quaternion algebra and the representation of integers by Hermitian forms [PDF]
, 1936 Claiborne G. Latimer
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Quaternionic Bundles on Algebraic Spheres
Rocky Mountain Journal of Mathematics, 1996 It has remained an open question for many years whether there is a bijection between algebraic and topological vector bundles on spheres. If one denotes by \(\mathbb{F}\) one of the (skew) fields \(\mathbb{R}\), \(\mathbb{C}\) or \(\mathbb{H}\) and by \(A_n\) the coordinate ring \(\mathbb{R}[x_0,\dots,x_n]/(\sum x^2_1-1)\) of the sphere, then the more ...
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