Projective techniques in algebraic geometry

Results 31 to 40 of about 31,767 (152)

Advanced Investigation of the Elimination of Methylene Blue From Wastewater Using Activated Carbon–Copper Oxide Nanowires: New Perspectives With Statistical Physical Modeling

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT In this study, the actual route of methylene blue (MB) dye adsorption by using fabricated polyfunctional activated carbon–copper oxide nanowires (AC@CuO‐NWs) from bulky wastewater bodies has been investigated. To better understand the exact pathway of the adsorption process, a prominent statistical physics formalism or grand canonical ...
Abdellatif Sakly +7 more
wiley +1 more source

Formalized proof, computation, and the construction problem in algebraic geometry [PDF]

, 2004
An informal discussion of how the construction problem in algebraic geometry motivates the search for formal proof methods. Also includes a brief discussion of my own progress up to now, which concerns the formalization of category theory within a ZFC ...
Simpson, Carlos T.
core

Complexity of Model Testing for Dynamical Systems with Toric Steady States

, 2019
In this paper we investigate the complexity of model selection and model testing for dynamical systems with toric steady states. Such systems frequently arise in the study of chemical reaction networks.
Adamer, Michael F, Helmer, Martin
core +1 more source

A Markov approach to credit rating migration conditional on economic states

Canadian Journal of Statistics, EarlyView.
Abstract We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time‐homogeneous Markov chain. While the rating process itself possesses the Markov property only under restrictive conditions, methods ...
Michael Kalkbrener, Natalie Packham
wiley +1 more source

Sharp Degree Bounds for Sum-of-Squares Certificates on Projective Curves

, 2018
Given a real projective curve with homogeneous coordinate ring R and a nonnegative homogeneous element f in R, we bound the degree of a nonzero homogeneous sum-of-squares g in R such that the product fg is again a sum of squares.
Blekherman, Grigoriy, Smith, Gregory G., Velasco, Mauricio +2 more
core +1 more source

Bayesian inverse ensemble forecasting for COVID‐19

Canadian Journal of Statistics, EarlyView.
Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
wiley +1 more source

The Euclidean distance degree of an algebraic variety [PDF]

, 2013
The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Theorem states that this map is given by the singular value decomposition ...
Draisma, Jan +4 more
core +2 more sources

Noncommutative geometrical structures of entangled quantum states

, 2010
We study the noncommutative geometrical structures of quantum entangled states. We show that the space of a pure entangled state is a noncommutative space.
C. Kassel +5 more
core +1 more source

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source

Computation of Yukawa Couplings for Calabi-Yau Hypersurfaces in Weighted Projective Spaces

, 1994
Greene, Morrison and Plesser \cite{GMP} have recently suggested a general method for constructing a mirror map between a $d$-dimensional Calabi-Yau hypersurface and its mirror partner for $d > 3$. We apply their method to smooth hypersurfaces in weighted
Arnold +16 more
core +1 more source