Results 21 to 30 of about 168,306,423 (155)
On the geometry, topology and approximation of amoebas [PDF]
We investigate multivariate Laurent polynomials f \in \C[\mathbf{z}^{\pm 1}] = \C[z_1^{\pm 1},\ldots,z_n^{\pm 1}] with varieties \mathcal{V}(f) restricted to the algebraic torus (\C^*)^n = (\C \setminus \{0\})^n.
Wolff, Timo de
core
Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety [PDF]
This work is the third part of a series of papers. In the first two we considered curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian variety in general.
Viada, Evelina
core +1 more source
Toric Ideals, Real Toric Varieties, and the Algebraic Moment Map [PDF]
This is a pre-published version harvested from ArXiv.org.This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling.
Sottile, Frank
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ABSTRACT Conceptual process design combines discrete configuration choices with continuous operating decisions, often yielding difficult mixed‐integer nonlinear or simulation‐based optimization problems. This work presents an exploratory computational assessment of Ising‐based solvers, simulated annealing, quantum annealing, and entropy computing, as ...
Yirang Park, David E. Bernal Neira
wiley +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica +38 more
wiley +1 more source
Spaces of algebraic and continuous maps between real algebraic varieties
We consider the inclusion of the space of algebraic (regular) maps between real algebraic varieties in the space of all continuous maps. For a certain class of real algebraic varieties, which include real projective spaces, it is well known that the ...
K. Yamaguchi +5 more
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ABSTRACT Efficient removal of liquid aerosols from compressed gas streams is essential in chemical and energy processes. Conventional separators relying on a single mechanism (inertial or centrifugal) struggle to capture both fine and coarse droplets simultaneously.
Son Ung Kang +3 more
wiley +1 more source
The weight filtration for real algebraic varieties
29 pages. MSRI Publications, \textbf{18} "Topology of Stratified Spaces" (2011), 121--160Using the work of Guillen and Navarro Aznar we associate to each real algebraic variety a filtered chain complex, the weight complex, which is well-defined up to ...
Parusinski, Adam, Mccrory, Clint
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Abstract The issue of inequality caused by algorithms, termed ‘algorithmic inequality’, has recently attracted scholarly attention in many disciplines due to its profound implications for society. While the body of literature on algorithmic inequality has grown, there remains a lack of comprehensive understanding of its nature, drivers, and impact ...
Shiwei Jia, Jia Tina Du, Hui Yan
wiley +1 more source

