Tag: Boundary (topology)
Improved Omega bound for lattice point discrepancy in bodies of revolution
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in MathematicsWhat the study found The study found an improved Omega-bound for the error term in a lattice counting problem for bodies of revolution in three-dimensional space. In this setting, a body of revolution is a shape formed by rotating a curve around an axis. Why the authors say this matters The authors say this strengthens…
Geometric structures may organize cell fate in viability models
What the study found The study suggests that geometric structures in a model’s state space, meaning the set of possible system conditions, may help organize how cell fate is understood. It also argues that idealized models of emergent individuals may help explain limits that arise within life itself. Why the authors say this matters The…
Minimal partitions can exist in unbounded domains
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in MathematicsWhat the study found The study finds that for unbounded domains, including domains of infinite volume, spectral minimal partitions can exist below a threshold determined by the essential spectrum and the best “k-1” partition energy. The behavior at the threshold differs by the choice of p: for p < ∞, minimizing partitions may or may…
Mimbres society used insularity as a cultural strategy
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in ArchaeologyAnalysis of Mimbres Classic period communities examines insularity as strategic cultural practice emphasizing household autonomy and symbolic containment over monumentality.
