Why the Spectral Radius? An intuition-building introduction to the basic reproduction number. [PDF]
Bull Math Biol, 2022 Brouwer AF.
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Local Criteria for Triangulating General Manifolds. [PDF]
Discrete Comput Geom, 2023 Boissonnat JD +3 more
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Topological Darkness: How to Design a Metamaterial for Optical Biosensing with Ultrahigh Sensitivity. [PDF]
ACS Nano, 2023 Tselikov GI +5 more
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Sloppiness: Fundamental study, new formalism and its application in model assessment. [PDF]
PLoS One, 2023 Jagadeesan P, Raman K, Tangirala AK.
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Geometry of focal conics in sessile cholesteric droplets. [PDF]
Proc Natl Acad Sci U S A, 2023 Kamien RD, Nastishin Y, Pansu B.
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Topology of eeg wave fronts. [PDF]
Cogn Neurodyn, 2021 Tozzi A, Bormashenko E, Jausovec N.
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Reassessment of contact restrictions and testing campaigns against COVID-19 via spatio-temporal modeling. [PDF]
Nonlinear Dyn, 2022 Ganegoda NC +5 more
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Using information criteria to select smoothing parameters when analyzing survival data with time-varying coefficient hazard models. [PDF]
Stat Methods Med Res, 2023 Luo L, He K, Wu W, Taylor JM.
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The Brouwer fixed point theorem and the Borsuk--Ulam theorem
, 2012 These informal notes, not intended for publication, provide an approach to the Borsuk--Ulam theorem via Stokes' theorem, in a similar spirit to Lima's proof of the Brouwer fixed point theorem. They are intended to be accessible to anyone with a knowledge of basic point-set topology and several variable calculus.
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