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Did you mean biorational【数】 (450 results)?
Constructions and classifications of projective Poisson varieties.
Pym B. Pym B. Lett Math Phys. 2018;108(3):573-632. doi: 10.1007/s11005-017-0984-5. Epub 2017 Sep 13. Lett Math Phys. 2018. PMID: 29497235 Free PMC article.
The paper begins with a detailed treatment of Poisson surfaces, including adjunction, ruled surfaces and blowups, and leading to a statement of the full birational classification. We then describe several constructions of Poisson threefolds, outlining the classification in …
The paper begins with a detailed treatment of Poisson surfaces, including adjunction, ruled surfaces and blowups, and leading to a statement …
Re-mapping Robert Rosen's (M,R)-systems.
Cottam R, Ranson W, Vounckx R. Cottam R, et al. Chem Biodivers. 2007 Oct;4(10):2352-68. doi: 10.1002/cbdv.200790192. Chem Biodivers. 2007. PMID: 17955462
We look anew at Rosen's model of an organism in the light of extensive research into natural hierarchical systems, and the paper presents conclusions drawn from a comparison between Rosen's relational model and that of a birational complementary natural hierarchy. We accep …
We look anew at Rosen's model of an organism in the light of extensive research into natural hierarchical systems, and the paper presents co …
Data-Driven Deep Learning Neural Networks for Predicting the Number of Individuals Infected by COVID-19 Omicron Variant.
Oluwasakin EO, Khaliq AQM. Oluwasakin EO, et al. Epidemiologia (Basel). 2023 Oct 20;4(4):420-453. doi: 10.3390/epidemiologia4040037. Epidemiologia (Basel). 2023. PMID: 37873886 Free PMC article.
The time-dependent function leads to constant, rational, and birational models. These models use several constant parameters from the available data to predict the time and number of people reported to be infected with the COVID-19 Omicron variant. Two out of these three m …
The time-dependent function leads to constant, rational, and birational models. These models use several constant parameters from the …
Algebraic analysis for nonidentifiable learning machines.
Watanabe S. Watanabe S. Neural Comput. 2001 Apr;13(4):899-933. doi: 10.1162/089976601300014402. Neural Comput. 2001. PMID: 11255575
By using a concept in algebraic analysis, we rigorously prove that the Bayesian stochastic complexity or the free energy is asymptotically equal to lambda(1) log n - (m(1) - 1) log log n + constant, where n is the number of training samples and lambda(1) and m(1) are the rational …
By using a concept in algebraic analysis, we rigorously prove that the Bayesian stochastic complexity or the free energy is asymptotically e …
A geometric approach to problems in birational geometry.
Chi CY, Yau ST. Chi CY, et al. Proc Natl Acad Sci U S A. 2008 Dec 2;105(48):18696-701. doi: 10.1073/pnas.0809030105. Epub 2008 Nov 24. Proc Natl Acad Sci U S A. 2008. PMID: 19033184 Free PMC article.
A classical set of birational invariants of a variety are its spaces of pluricanonical forms and some of their canonically defined subspaces. ...This can be thought of as a theorem of Torelli type for birational equivalence....
A classical set of birational invariants of a variety are its spaces of pluricanonical forms and some of their canonically defined su …
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems.
Petrera M, Smirin J, Suris YB. Petrera M, et al. Proc Math Phys Eng Sci. 2019 Mar;475(2223):20180761. doi: 10.1098/rspa.2018.0761. Epub 2019 Mar 13. Proc Math Phys Eng Sci. 2019. PMID: 31007552 Free PMC article.
Kahan discretization is applicable to any quadratic vector field and produces a birational map which approximates the shift along the phase flow. For a planar quadratic canonical Hamiltonian vector field, this map is known to be integrable and to preserve a pencil of cubic …
Kahan discretization is applicable to any quadratic vector field and produces a birational map which approximates the shift along the …
Universal asymptotic correlation functions for point group C_{6v} and an observation for triangular lattice Q-state Potts model.
Fujimoto M, Otsuka H. Fujimoto M, et al. Phys Rev E. 2023 Feb;107(2-1):024118. doi: 10.1103/PhysRevE.107.024118. Phys Rev E. 2023. PMID: 36932561
Although the curve differs from those obtained in the C_{4v} case, the latter curves also have genus 1. We indicate that the birational equivalence concept can play an important role in comparing asymptotic forms for different point group symmetries, for example, C_{6v} an …
Although the curve differs from those obtained in the C_{4v} case, the latter curves also have genus 1. We indicate that the birational …
A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps.
Petrera M, Suris YB. Petrera M, et al. Proc Math Phys Eng Sci. 2017 Feb;473(2198):20160535. doi: 10.1098/rspa.2016.0535. Proc Math Phys Eng Sci. 2017. PMID: 28293131 Free PMC article.
Applying to the corresponding pairs of commuting quadratic Hamiltonian vector fields the so called Kahan-Hirota-Kimura discretization scheme, we arrive at pairs of birational four-dimensional maps. We show that these maps are symplectic with respect to a symplectic structu …
Applying to the corresponding pairs of commuting quadratic Hamiltonian vector fields the so called Kahan-Hirota-Kimura discretization scheme …