ion example 3-state traffic light reduced to 2 states R G @ @ @ @I V Lr(R) = stop Lr(G) = stop Lr(V ) = go ⇒ relabeling stop stop @ @ @ @I go ⇒ collapsing stop 6 go

The Laws of Space and Observation unify the concepts of time, distance, matter, energy, gravity, and Space. The previously overlooked yet unifying factor is the concept that "Space" really exists as an entity unto itself. The Relative Space Density and Relative Space Warp equations as herein presented allows us to mathematically calculate an object’s gravity, mass, size, Space density, and more...

Light field microscopy methods together with three-dimensional (3D) deconvolution can be used to obtain single-shot 3D images of atomic clouds. We demonstrate the method using a test setup that extracts 3D images from a fluorescent Rb87 atomic vapor.

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...