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Generating explanations can be highly effective in promoting learning in both adults and children. Our interest is in the mechanisms that underlie this effect and in whether and how they operate in early learning. In adult reasoning, explanation may call on many subprocesses-including comparison, counterfactual reasoning, and reasoning by exclusion; but it is unlikely that all these processes a...

We study the speculative value of a finitely lived asset when investors disagree and short sales are limited. In this case, investors are willing to pay a speculative value for the resale option they obtain when they acquire the asset. We characterize the equilibrium speculative value as a solution to a fixed point problem for a monotone operator F. A Dynamic Programming Principle applies and i...

kant’s ethical theory is one the most important theories in philosophy of ethics, which has always attracted the attention of the commentators and critics. although it has many positive points, there are some objections to this theory just as to any other human theory. in this article, it is attempted to point out the critiques that seem to have been leveled against kant’s ethics. some of these...

Transcriptional rewiring is an emerging evolutionary principle. Analysis of the galactose genetic pathway in Candida albicans and comparison with the classical pathway in Saccharomyces cerevisiae have revealed remarkable differences in its regulation in the two yeasts.

In this article, we consider three types of solutions in Orlicz spaces for the quasilinear elliptic problem − div(a(|∇u|)∇u) = 0. By applying a comparison principle, we establish the relationships between viscosity supersolutions, weak supersolutions, and superharmonic functions.

The union-intersection principle yields a class of multiple comparison tests that include the classical Scheffé tests for analysis of variance, and are easily applied to any likelihood ratio test. Examples are given.

In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type inequality are shown.