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Weak stationarity of a matrix valued differential form at superdensity points of its vanishing set
A property of weak stationarity of a matrix valued differential form at superdensity points of its vanishing set is proved. This result is then...
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A closure result for differential forms in the context of superdensity, approximation of measurable functions by density-degree functions
Some properties of m -density points and density-degree functions are studied. Moreover, the following main results are provided:
Let
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Quantitative Behavior Of Non-Integrable Systems. IV
In this paper, there are two sections. In Section 7, we simplifythe eigenvalue-based surplus shortline method for arbitrary finite...
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Quantitative behavior of non-integrable systems. III
The main purpose of part III is to give explicit geodesics and billiard orbits in polysquares and polycubes that exhibit time-quantitative density.
In...
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Quantitative behavior of non-integrable systems. I
The theory of Uniform Distribution started with the equidistribution of the irrational rotation of the circle, proved around 1905 independently by...
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Quantitative behavior of non-integrable systems. II
Here we finish the proof of the Main Theorem on the L-surface, i.e., Theorem 2.1.4 in part (I) of this paper [1], to which the reader is also...
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Some ultrabornological normed function spaces
A variety of normed function spaces, including the space E 0 ( X ) of continuous functions on the compact Hausdorff space X that are locally constant...
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Extended Lagrangian particle-in-cell (ELPIC) code for inhomogeneous compressible flows
ELPIC, a macroparticle code for modeling complex nonstationary inhomogeneous compressible flows is described and demonstrated. It operates with...
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