in this paper, the ultraspherical operational matrices of derivatives are constructed. based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate spectral solutions of a class of linear and nonlinear lane-emden type singular initial value problems. the basic idea behind the suggested algorithms is basically built on transforming the eq...

rule induction. Together, an abstract rule of this form and a U-structured B-coalgebra, (X ,h : UX → BUX ), provide parameterised recursion data (C ,Σ,T,UX ,BU T̃X , fρ,X , gX ,h) where the morphisms fρ,X , gX ,h are defined as follows. fρ,X = Σ(TUX × BU T̃X ) Σ(uX×... ) −−−−−→ Σ(UT̃X × BU T̃X ) ρ T̃ X −→ BU T̃ T̃ X BUμ̃X −→ BU T̃X gX ,h = UX h −→ BUX BUη̃X −−−→ BU T̃X . (6.2.12) Hence an abstract rule ρ ...

A novel operational policy, the Process Intermediate Storage operational policy, is introduced and used to synthesize, schedule and design multipurpose batch plants. The model is based on the State Sequence Network and non-uniform discretization of the time horizon of interest model developed by Majozi and Zhu [Majozi, T., Zhu, X. (2001). A novel continuous-time MILP formulation for multipurpos...

Despite allowing for the unprecedented visualization of brain functional activity, modern neurobiological techniques have not yet been able to provide satisfactory answers to important questions about the relationship between brain and mind. The aim of this paper is to show how two different but complementary approaches, Mind Operational Semantics (OS) and Brain Operational Architectonics (OA),...