By interpreting ‘p is impossible’ by ‘p is selfcontradictory’, and ‘p is always’ by ‘not p is self-contradictory’, this paper studies which of the three-valued systems of Łucasiewicz, Gödel, Kleene, Bochvar, and Post, do verify the Aristotle’s principles of Non-Contradiction (NC), and Excluded-Middle (EM). Keywords— Systems of three-valued logic, Non-Contradiction, Excluded-Middle.

Let G be SLn, Sp2n or SOn. We consider the moduli space M of semistable principal G-bundles over a curve X . Our main result is that if U is a Zariski open subset of M then there is no universal bundle on U × X .

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We demonstrate a simple approach for inline holographic coherent anti-Stokes Raman scattering (CARS) microscopy, in which a layer of uniform nonlinear medium is placed in front of a specimen to be imaged. The reference wave created by four-wave mixing in the nonlinear medium can interfere with the CARS signal generated in the specimen to result in an inline hologram. We experimentally and theor...

2. Resilience is not achieved by picking off and solving individual problems but results from the inter-play of all the multiple inter-related components and factors that form the whole electricity system. The lessons that can be learnt from the last period when electricity resilience was an issue, the 3 day week in the 1970s, are of limited value in the current context because both the underly...

The following presents a review of power laws in financial economics. It is a chapter from a preliminary draft of a very long review article called “Beyond equilibrium and efficiency”. While some of the discussion is specific to economics, most of it applies to power laws in general – the nouns may change, but the underlying questions are similar in many fields. This draft is still highly preli...