This paper deals with good fuzzy preorders on fuzzy power structures. It is shown that a fuzzy preorder R on an algebra ${(X,\mathbb{F})}$ is compatible if and only if it is Hoare good, if and only if it is Smyth good.

Overdenkingen in proza en poëzie over filosofische vraagstukken door de in ongenade gevallen Romeinse ex-consul (480-524).

It will be settled out for the open problem of designing an r-order finite-time state observer for reaction-diffusion genetic regulatory networks with time-varying delays. By assuming the Dirichlet boundary conditions, aiming to estimate the mRNA and protein concentrations via available network measurements. Firstly, sufficient F-T stability conditions for the filtering error system have been investigated via constructing an appropriate Lyapunov–Krasovskii functional and using several integral inequalities and convex technique simultaneously. These conditions are delay-dependent and reaction-diffusion-dependent and can be checked by (...) MATLAB toolbox. Furthermore, a method is proposed to design an r-order F-T state observer, and the explicit expressions of observer gains are given. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method. (shrink)

This detailed 1990 book describes the light and dark adaptation of receptoral and post-receptoral mechanisms from a number of perspectives. The authors emphasise the importance of the study of achromatopsia, a rare congenital condition in which the visual mechanisms that mediate day vision are absent whilst those that mediate night vision remain intact.

pt. 1. A critique of current educational aims.--pt. 2. Reason.--pt. 3. Education and reason.

R F Dearden; Theory and Practice in Education, Journal of Philosophy of Education, Volume 14, Issue 1, 30 May 2006, Pages 17–29, https://doi.org/10.1111/j.1467-.

R F Dearden; Theory and Practice in Education, Journal of Philosophy of Education, Volume 14, Issue 1, 30 May 2006, Pages 17–29, https://doi.org/10.1111/j.1467-.

R F Dearden; Happiness and Education, Journal of Philosophy of Education, Volume 2, Issue 1, 30 May 2006, Pages 17–29, https://doi.org/10.1111/j.1467-9752.1968.

„My sole purpose in this paper is to try and correct what I take to be a common misinterpretation of Hume’s opinions on mathematics. I shall not enquire whether he was right or wrong in holding these opinions. Nor shall I offer opinions of my own.“.

R F Dearden; Play and Pleasure, Journal of Philosophy of Education, Volume 5, Issue 1, 30 May 2006, Pages 37–41, https://doi.org/10.1111/j.1467-9752.1971.tb0044.

We introduce a linear analogue of Läuchli's semantics for intuitionistic logic. In fact, our result is a strengthening of Läuchli's work to the level of proofs, rather than provability. This is obtained by considering continuous actions of the additive group of integers on a category of topological vector spaces. The semantics, based on functorial polymorphism, consists of dinatural transformations which are equivariant with respect to all such actions. Such dinatural transformations are called uniform. To any sequent in Multiplicative Linear Logic (...) , we associate a vector space of“diadditive” uniform transformations. We then show that this space is generated by denotations of cut-free proofs of the sequent in the theory MLL + MIX. Thus we obtain a full completeness theorem in the sense of Abramsky and Jagadeesan, although our result differs from theirs in the use of dinatural transformations.As corollaries, we show that these dinatural transformations compose, and obtain a conservativity result: diadditive dinatural transformations which are uniform with respect to actions of the additive group of integers are also uniform with respect to the actions of arbitrary cocommutative Hopf algebras. Finally, we discuss several possible extensions of this work to noncommutative logic.It is well known that the intuitionistic version of Läuchli's semantics is a special case of the theory of logical relations, due to Plotkin and Statman. Thus, our work can also be viewed as a first step towards developing a theory of logical relations for linear logic and concurrency. (shrink)

A critical and constructive discussion of philosophical questions which have particular bearing on the formulation of educational aims.

R F Dearden; Competition in Education, Journal of Philosophy of Education, Volume 6, Issue 1, 30 May 2006, Pages 119–133, https://doi.org/10.1111/j.1467-9752.19.

R F Dearden; Education and Politics, Journal of Philosophy of Education, Volume 14, Issue 2, 30 May 2006, Pages 149–156, https://doi.org/10.1111/j.1467-9752.198.

R F Dearden; Education and Politics, Journal of Philosophy of Education, Volume 14, Issue 2, 30 May 2006, Pages 149–156, https://doi.org/10.1111/j.1467-9752.198.

R F Dearden; Happiness and Education, Journal of Philosophy of Education, Volume 2, Issue 1, 30 May 2006, Pages 17–29, https://doi.org/10.1111/j.1467-9752.1968.

R F Dearden; Freedom and the Development of Autonomy: a reply to Victor Quinn, Journal of Philosophy of Education, Volume 18, Issue 2, 30 May 2006, Pages 271–27.