Metaphors of Time and Installed Knowledge Organization Systems: Ouroboros, Architectonics, or Lachesis?

This paper describes three metaphors for time drawn from contemporary and historical literature on knowledge organization systems (KOS). It then links these metaphors to the evaluation of knowledge organization by describing the dominant paradigm in KOS evaluation to be judging whether a KOS is correct. We conclude by saying a foundational view of evaluating and theorizing about KOS must account for change and time in order for us to take a long view of improving knowledge organization and our understanding of KOS.

Constructs in Knowledge Organization Systems: Rhythm in Time, Intention, and Form

In the context of the International Society for Knowledge Organization, we often consider knowledge organization systems to comprise catalogues, thesauri, and bibliothecal classification schemes – schemes for library arrangement. In recent years we have added ontologies and folksonomies to our sphere of study. In all of these cases it seems we are concerned with improving access to information. We want a good system.And much of the literature from the late 19th into the late 20th century took that as their goal – to analyze the world of knowledge and the structures of representing it as its objects of study; again, with the ethos for creating a good system. In most cases this meant we had to be correct in our assertions about the universe of knowledge and the relationships that obtain between its constituent parts. As a result much of the literature of knowledge organization is prescriptive – instructing designers and professionals how to build or use the schemes correctly – that is to maximize redundant success in accessing information.In 2005, there was a turn in some of the knowledge organization literature. It has been called the descriptive turn. This is in relation to the otherwise prescriptive efforts of researchers in KO. And it is the descriptive turn that makes me think of context, languages, and cultures in knowledge organization–the theme of this year’s conference.Work in the descriptive turn questions the basic assumptions about what we want to do when we create, implement, maintain, and evaluate knowledge organization systems. Following on these assumptions researchers have examined a wider range of systems and question the motivations behind system design. Online websites that allow users to curate their own collections are one such addition, for example Pinterest (cf., Feinberg, 2011). However, researchers have also looked back at other lineages of organizing to compare forms and functions. For example, encyclopedias, catalogues raisonnés, archival description, and winter counts designed and used by Native Americans.In this case of online curated collections, Melanie Feinberg has started to examine the craft of curation, as she calls it. In this line of research purpose, voice, and rhetorical stance surface as design considerations. For example, in the case of the Pinterest, users are able and encouraged to create boards. The process of putting together these boards is an act of curation in contemporary terminology. It is describing this craft that comes from the descriptive turn in KO.In the second case, when researchers in the descriptive turn look back at older and varied examples of knowledge organization systems, we are looking for a full inventory of intent and inspiration for future design. Encyclopedias, catalogues raisonnés, archival description, and works of knowledge organization in other cultures provide a rich world for the descriptive turn. And researchers have availed themselves of this.

Detailed analysis of a conservative difference approximation for the time fractional diffusion equation

Diffusion equations that use time fractional derivatives are attractive because they describe a wealth of problems involving non-Markovian Random walks. The time fractional diffusion equation (TFDE) is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order α ∈ (0, 1). Developing numerical methods for solving fractional partial differential equations is a new research field and the theoretical analysis of the numerical methods associated with them is not fully developed. In this paper an explicit conservative difference approximation (ECDA) for TFDE is proposed. We give a detailed analysis for this ECDA and generate discrete models of random walk suitable for simulating random variables whose spatial probability density evolves in time according to this fractional diffusion equation. The stability and convergence of the ECDA for TFDE in a bounded domain are discussed. Finally, some numerical examples are presented to show the application of the present technique.

Effective Cell-Centred Time-Domain Maxwell's Equations Numerical Solvers

This research work analyses techniques for implementing a cell-centred finite-volume time-domain (ccFV-TD) computational methodology for the purpose of studying microwave heating. Various state-of-the-art spatial and temporal discretisation methods employed to solve Maxwell's equations on multidimensional structured grid networks are investigated, and the dispersive and dissipative errors inherent in those techniques examined. Both staggered and unstaggered grid approaches are considered. Upwind schemes using a Riemann solver and intensity vector splitting are studied and evaluated. Staggered and unstaggered Leapfrog and Runge-Kutta time integration methods are analysed in terms of phase and amplitude error to identify which method is the most accurate and efficient for simulating microwave heating processes. The implementation and migration of typical electromagnetic boundary conditions. from staggered in space to cell-centred approaches also is deliberated. In particular, an existing perfectly matched layer absorbing boundary methodology is adapted to formulate a new cell-centred boundary implementation for the ccFV-TD solvers. Finally for microwave heating purposes, a comparison of analytical and numerical results for standard case studies in rectangular waveguides allows the accuracy of the developed methods to be assessed.

Time-Dependent Density Functional Molecular Orbital and Excited State Calculations on Bis(porphyrinyl)butadiynes in the Monocationic, Neutral, Monoanionic, and Dianionic Oxidation States

We report a theoretical study of the multiple oxidation states (1+, 0, 1−, and 2−) of a meso,meso-linked diporphyrin, namely bis[10,15,20-triphenylporphyrinatozinc(II)-5-yl]butadiyne (4), using Time-Dependent Density Functional Theory (TDDFT). The origin of electronic transitions of singlet excited states is discussed in comparison to experimental spectra for the corresponding oxidation states of the close analogue bis{10,15,20-tris[3‘,5‘-di-tert-butylphenyl]porphyrinatozinc(II)-5-yl}butadiyne (3). The latter were measured in previous work under in situ spectroelectrochemical conditions. Excitation energies and orbital compositions of the excited states were obtained for these large delocalized aromatic radicals, which are unique examples of organic mixed-valence systems. The radical cations and anions of butadiyne-bridged diporphyrins such as 3 display characteristic electronic absorption bands in the near-IR region, which have been successfully predicted with use of these computational methods. The radicals are clearly of the “fully delocalized” or Class III type. The key spectral features of the neutral and dianionic states were also reproduced, although due to the large size of these molecules, quantitative agreement of energies with observations is not as good in the blue end of the visible region. The TDDFT calculations are largely in accord with a previous empirical model for the spectra, which was based simplistically on one-electron transitions among the eight key frontier orbitals of the C4 (1,4-butadiyne) linked diporphyrins.

Implicit difference approximation for the time fractional diffusion equation

In this paper, we consider a time fractional diffusion equation on a finite domain. The equation is obtained from the standard diffusion equation by replacing the first-order time derivative by a fractional derivative (of order $0<\alpha<1$ ). We propose a computationally effective implicit difference approximation to solve the time fractional diffusion equation. Stability and convergence of the method are discussed. We prove that the implicit difference approximation (IDA) is unconditionally stable, and the IDA is convergent with $O(\tau+h^2)$, where $\tau$ and $h$ are time and space steps, respectively. Some numerical examples are presented to show the application of the present technique.