Level sets of functions and symmetry sets of smooth surface sections
, 2005 We prove that the level sets of a real C^s function of two variables near a non-degenerate critical point are of class C^[s/2] and apply this to the study of planar sections of surfaces close to the singular section by the tangent plane at hyperbolic ...
Bez, H.E. +6 more
core +1 more source
A Pedagogical Value From Mathematical Mistakes [PDF]
, 2011 A real correct and mistake basically have the same point. Mistake done by student during doing mathematics problem can have the positive values and worth to develop the new mathematics concept.
Kadir , Kadir
core
Existence and properties of certain critical points of the Cahn-Hilliard energy
, 2015 The Cahn-Hilliard energy landscape on the torus is explored in the critical regime of large system size and mean value close to $-1$. Existence and properties of a "droplet-shaped" local energy minimizer are established. A standard mountain pass argument
Gelantalis, Michael +2 more
core +1 more source
Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Low-temperature regimes and finite-size scaling in a quantum spherical model [PDF]
, 1997 A $d$--dimensional quantum model in the spherical approximation confined to a general geometry of the form $L^{d-d^{\prime}} \times\infty^{d^{\prime}}\times L_{\tau}^{z}$ ($L$--linear space size and $L_{\tau}$--temporal size) and subjected to periodic ...
Chamati, H. +3 more
core
Nonlinear thermoelectricity in point-contacts at pinch-off: a catastrophe aids cooling
, 2013 We consider refrigeration and heat engine circuits based on the nonlinear thermoelectric response of point-contacts at pinch-off, allowing for electrostatic interaction effects.
Whitney, Robert S.
core +3 more sources
Likely equilibria of stochastic hyperelastic spherical shells and tubes [PDF]
, 2019 In large deformations, internally pressurised elastic spherical shells and tubes may undergo a limit-point, or inflation, instability manifested by a rapid transition in which their radii suddenly increase.
Fitt, Danielle +3 more
core +3 more sources
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Theory of a spherical quantum rotors model: low--temperature regime and finite-size scaling
, 1997 The quantum rotors model can be regarded as an effective model for the low-temperature behavior of the quantum Heisenberg antiferromagnets. Here, we consider a $d$-dimensional model in the spherical approximation confined to a general geometry of the ...
A. A. Lisyansky +41 more
core +1 more source
Overview of molecular signatures of senescence and associated resources: pros and cons
FEBS Open Bio, EarlyView.Cells can enter a stress response state termed cellular senescence that is involved in various diseases and aging. Detecting these cells is challenging due to the lack of universal biomarkers. This review presents the current state of senescence identification, from biomarkers to molecular signatures, compares tools and approaches, and highlights ...
Orestis A. Ntintas +6 more
wiley +1 more source