Mathematics - geometric topology

Results 111 to 120 of about 4,718 (211)

Persistent Local Laplacian Prediction of Protein-Ligand Binding Affinities. [PDF]

J Chem Inf Model
Liu J, Feng H.
europepmc +1 more source

Geometric Constraints of Discrete Energy Quantum Counting and Topological Folding: Mathematical Derivation of the Mass-Frequency Correspondence

Abstract This work identifies a strict discrete linear correspondence between mass and frequency: m = m₀·f. By deriving the mass fraction constant K for energy states, the absolute mass of a 1 Hz standard energy quantum is calculated as m₀ ≈ 9.197×10⁻⁹⁶ kg.
openaire +1 more source

Inverse Design of Electromagnetic‐Induced Transparency Metasurface Using Conditional Generative Adversarial Network

Advanced Intelligent Systems, EarlyView.
This work develops a CGAN‐based metasurface inverse design method. It adopts an integrated workflow of pixel‐based graphical modeling, simulation, and GAF transform for automatic, batch metasurface dataset construction. With a U‐Net architecture, the CGAN generates high‐resolution, high‐fidelity metasurface structures. EIT verification achieves over 90%
Guirong Feng +6 more
wiley +1 more source

Experimental investigation and multi-response design of FFF-printed PLA honeycomb sandwich panels for flexural performance and mass efficiency. [PDF]

PLoS One
Yelamasetti B +6 more
europepmc +1 more source

Geometry vs Binary: Unsolved Mathematics — geometric topology approach to unsolved Millennium — E8 Intelligence Research

## Binary Failure → Geometry Solution # Analysis: Navier-Stokes, Yang-Mills, and the Limits of Statistical Approaches ## Where Conventional Approaches Hit the Wall **The OpenAI "10,000-agent swarm" claim is the tell.** A 165-page paper produced by a swarm of language models is not a proof — it's a *plausibility search*.
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Visual-Attention-Based Neighbor Selection for Artificial-Potential-Field UAV Formation Control. [PDF]

Sensors (Basel)
Yu M.
europepmc +1 more source

Geometry vs Binary: Unsolved Mathematics — unsolved problems in geometric topology knot invar — E8 Intelligence Research

## Binary Failure → Geometry Solution **Analysis of Findings:** The search results point to a fundamental failure mode in conventional approaches to knot theory: **the inability to compute or approximate knot invariants (like the Jones polynomial, Khovanov homology, or unknotting number) using neural networks or brute-force statistical methods ...
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Hybrid Inertial–Centrifugal Gas–Liquid Separator: CFD‐Driven Optimization Using Coupled Discrete Phase and Wall‐Film Modeling With Response Surface Methodology

Asia-Pacific Journal of Chemical Engineering, EarlyView.
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

Topologically-based parameter inference for agent-based model selection from spatiotemporal cellular data. [PDF]

PLoS Comput Biol
Wenzel AR +5 more
europepmc +1 more source

Streamline and Isotherm Visual Analysis of Darcy–Forchheimer von Karman Spinning Flow of Maxwell Fluid Over a Stretching Disk With Quadratic Temperature‐Dependent Heat Source

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This research paper provides an extensive study of the effects of Darcy–Forchheimer von‐Karman spinning flow of Maxwell fluid across a stretching disk including the effect of heat generation based on a nonlinear function of temperature. The flow system is influenced by thermal radiations and Arrhenius activation energy.
Ebrahem A. Algehyne +6 more
wiley +1 more source