Results 31 to 40 of about 10,610,696 (276)
The regularity theory for the area functional (in geometric measure theory)
, 2023 To appear in the Proceedings of the ...
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Geometrical Theory of the Hyperbolic Functions [PDF]
Proceedings of the Edinburgh Mathematical Society, 1898 1. If PQRS be an Hyperbola, OE, OF its asymptotes, P, Q, R, S any points on it such that the sectorial area OPQ = sectorial area ORS; and if PA, QB, RC, SD be ordinates to one asymptote and parallel to the other, it is known that Hence if A, B, C … be taken so that OA, OB, OC … are in continued proportion, the areas OPQ, OQR, ORS … are all equal,
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Fitting a geometric graph to a protein-protein interaction network [PDF]
, 2008 Finding a good network null model for protein-protein interaction (PPI) networks is a fundamental issue. Such a model would provide insights into the interplay between network structure and biological function as well as into evolution.
Higham, Desmond J. +2 more
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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Differential Subordination Results for Certain Integrodifferential Operator and Its Applications
Abstract and Applied Analysis, 2012 We introduce an integrodifferential operator Js,b(f) which plays an important role in the Geometric Function Theory. Some theorems in differential subordination for Js,b(f) are used. Applications in Analytic Number Theory are also obtained which give new
M. A. Kutbi, A. A. Attiya
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Geometric spectral theory for Kähler functions
, 2023 We consider Kähler toric manifolds $N$ that are torifications of statistical manifolds $\mathcal{E}$ in the sense of [M. Molitor, "Kähler toric manifolds from dually flat spaces", arXiv:2109.04839], and prove a geometric analogue of the spectral decomposition theorem in which Hermitian matrices are replaced by Kähler functions on $N$.
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Template-based geometric simulation of flexible frameworks [PDF]
, 2012 Specialised modelling and simulation methods implementing simplified physical models are valuable generators of insight. Template-based geometric simulation is a specialised method for modelling flexible framework structures made up of rigid units.
Stephen A. Wells +5 more
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
A Survey of the Principle and Development of Geometric Function Theory
Academic Science JournalThis article serves as an introduction to the theory of geometric functions. Foundational methodologies and certain advancements within the domain are elucidated with the perspective that the primary audience comprises budding scholars eager to grasp ...
Adnan Aziz Hussein, Kassim A . Jassim
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