In this paper, we introduce metallic maps between metallic Riemannian manifolds, provide an example and obtain certain conditions for such maps to be totally geodesic. We also give a sufficient condition for a map between metallic Riemannian manifolds to be harmonic map. Then we investigate the constancy of certain map…
Characterizes metallic structures on product manifolds and provides conditions for warped products to be metallic.
problem Understanding metallic structures on product manifolds and conditions for warped products to be metallic.
method Characterization through metallic maps and necessary/sufficient conditions for warped products.
result Characterizes metallic structures and provides conditions for warped products to be metallic.
Harmonic metallic structures on compact manifolds are equivalent to vanishing of their metallic structure.
problem Characterizing harmonic metallic structures on compact manifolds.
method Proving equivalence of harmonicity to dJ=0 and conditions for preservation by harmonic maps. result Conditions for harmonic metallic structures on compact manifolds.
Conditions for metallic structures to induce integrable distributions and geodesic invariance.
problem Conditions for metallic structures to induce integrable and geodesically invariant distributions.
method Analyzing tensor fields and adapted connections associated with metallic structures.
result Chen-type inequality for metallic distributions and conditions for metallic maps to preserve these distributions.
A RL approach optimizes metal AM process parameters for consistent melt pool depth.
problem Optimizing process parameters for metal additive manufacturing to ensure repeatability and control microstructure.
method A Reinforcement Learning (RL) framework based on Q-learning is applied to find optimal laser power and scan velocity combinations.
result The RL framework learns optimal process parameters without prior knowledge, providing a model-free approach.
The paper explores metallic structures on manifolds using a special ratio.
problem Investigating integrability and parallelism conditions of metallic structures.
method Using the metallic ratio and polynomial structures Q(J)=J2−aJ−bI on manifolds. result Properties of the metallic Riemannian metric and examples of metallic structures are provided.
The paper characterizes metallic pseudo-Riemannian manifolds using conjugate connections and tensor structures.
problem Characterizing metallic pseudo-Riemannian manifolds.
method Using conjugate connections and tensor structures, the paper derives new characterizations and conditions for these manifolds.
result A necessary and sufficient condition for a non-integrable metallic pseudo-Riemannian manifold to be a quasi metallic pseudo-Riemannian manifold is derived.
Review of metallic Riemannian geometry advances.
problem No specific problem stated; focuses on advancements.
method No specific method mentioned; focuses on review of advances.
result Rich potential and diverse applications of metallic Riemannian geometry.
Study the geometry of transversal lightlike submanifolds in Metallic Semi-Riemannian manifolds.
problem Exploring the geometry of submanifolds in Metallic Semi-Riemannian manifolds.
method Investigate the geometry of distributions and induced connections, providing necessary and sufficient conditions for the induced connection to be metric.
result Characterization of transversal lightlike submanifolds in Metallic semi-Riemannian manifolds.
Study properties of metallic Riemannian submanifolds.
problem Characterize submanifolds in metallic Riemannian manifolds.
method Analyzes invariant, anti-invariant, and slant submanifolds.
result Properties and examples of metallic Riemannian submanifolds.
Study metallic structures on tangent bundles with lifts and integrability.
problem Integrability and lifts of metallic structures on tangent bundles.
method Complete and horizontal lifts with respect to almost product structure, fundamental formulae establishment.
result Behavior of metallic structure cross-sections in tangent bundle TM.
The study explores properties of slant and semi-slant submanifolds in metallic Riemannian manifolds.
problem Characterizing and understanding slant and semi-slant submanifolds in metallic Riemannian manifolds.
method Characterizations and integrability conditions for distributions in semi-slant submanifolds.
result Examples of semi-slant submanifolds in metallic and Golden Riemannian manifolds are provided.
Study properties of hemi-slant submanifolds in metallic Riemannian manifolds.
problem Characterize hemi-slant submanifolds in metallic Riemannian manifolds.
method Characterizations and integrability conditions for distributions are derived.
result Examples of hemi-slant submanifolds in metallic and Golden Riemannian manifolds are provided.
Study metallic structures on generalized tangent bundles.
problem Properties of generalized metallic structures.
method Generalized geometry and suitable connections.
result Conditions for integrability of generalized metallic structures.
Study metallic structures on P-Sasakian manifolds.
problem Investigate metallic structures on tangent bundles of P-Sasakian manifolds.
method Complete lift, horizontal lift, and vertical lift of a P-Sasakian structure to study metallic structures.
result Investigate integrability and parallelity of metallic structures.
Study metallic Riemannian structures on submanifolds of Riemannian manifolds.
problem Properties of submanifolds in metallic Riemannian manifolds.
method Investigate properties of structure induced on submanifolds.
result Examples of structures on a sphere induced by metallic Riemannian structures.
Study on submanifolds in metallic Riemannian manifolds.
problem Existence of specific submanifolds in metallic Riemannian manifolds.
method Analysis of warped product submanifolds in metallic and Golden Riemannian manifolds.
result Existence and properties of various types of warped product submanifolds.
Study properties of specific submanifolds in metallic Riemannian spaces.
problem Characterize warped product pointwise bi-slant submanifolds.
method Analyze in locally metallic Riemannian manifolds with examples in Euclidean spaces.
result Construct examples of warped product pointwise bi-slant submanifolds.
Study on lightlike hypersurfaces in metallic semi-Riemannian manifolds.
problem Exploring geometric properties of lightlike hypersurfaces in metallic semi-Riemannian manifolds.
method Investigation of invariant and screen semi-invariant lightlike hypersurfaces, examination of integrability conditions.
result Induced structure on invariant lightlike hypersurfaces is metallic.
Study develops ensemble machine learning framework for predicting groundwater heavy metal pollution.
problem Statistical complexity and spatial heterogeneity of heavy metal contamination in groundwater.
method Nested cross-validated ensemble machine learning with response transformations (raw, log, Gaussian copula).
result Copula-based models with DBSCAN clustering diagnostics provide the most reliable and interpretable assessments of groundwater contamination.
We consider submanifolds into Riemannian manifold with metallic structures. We obtain some new results for hypersurfaces in these spaces and we express the fundamental theorem of submanifolds into products spaces in terms of metallic structures. Moreover, we define new structures called complex metallic structures. We …
A new unsupervised method removes CT metal artifacts using beta-CycleGAN and attention.
problem Metal artifact reduction in computed tomography (CT) images.
method Unsupervised learning using a beta-CycleGAN architecture with attention mechanism.
result Improved metal artifact removal that preserves image details.
Machine learning methods for solving the equations of dynamical mean-field theory are developed. The method is demonstrated on the three dimensional Hubbard model. The key technical issues are defining a mapping of an input function to an output function, and distinguishing metallic from insulating solutions. Both meta…
The paper derives optimal inequalities for bi-slant submanifolds in metallic Riemannian space forms.
problem Understanding geometric properties of bi-slant submanifolds in metallic Riemannian product space forms.
method Deriving generalized Wintgen inequality, optimal inequalities involving δ-invariants, Ricci curvature, shape operator invariants, and generalized normalized δ-Casorati curvatures.
result Established optimal inequalities for bi-slant submanifolds in metallic Riemannian product space forms.
Improved MF-DFA model analyzes precious metals market efficiency and multifractality.
problem Analyze price fluctuations in precious metals market.
method Proposed Bi-OSW-MF-DFA method compared to MF-DFA.
result Bi-OSW-MF-DFA method shows better efficiency in precious metals market analysis.
Study on lightlike submanifolds in metallic semi-Riemannian manifolds.
problem Characterizing and investigating properties of lightlike submanifolds in metallic semi-Riemannian manifolds.
method Introduced and analyzed subclasses of screen transversal lightlike submanifolds and investigated their geometric properties.
result Necessary and sufficient condition for an isotropic screen transversal lightlike submanifold to be totally geodesic.
This study examines local co-movements in energy, agriculture, and metal markets using copulas.
problem Identifying local dependencies and asymmetries in energy, agriculture, and metal markets.
method Non-parametric mixture copula and copula-based local Kendall's tau approach.
result Increased co-movements in extreme situations, asymmetric local dependence, and diversification potential.
Study characterizes submanifolds in metallic semi-Riemannian manifolds with specific connections.
problem Characterizing submanifolds in metallic semi-Riemannian manifolds.
method Introduces and analyzes invariant and screen semi-invariant lightlike submanifolds with a quarter symmetric non-metric connection.
result Characterizes integrability and parallelism of distributions in these submanifolds.
A new HOM model improves forecasting of Indian base metal prices.
problem Improving accuracy in predicting base metal prices in the Indian market.
method A Higher Order Markovian (HOM) model with varying order based on market delay.
result The HOM model consistently outperforms the standard Markovian model in forecasting.
New unsupervised learning method for fast imaging metal dendrites.
problem Fast imaging of metal dendrites in materials science.
method Unsupervised learning using Hierarchical Gaussian Mixture Models (HGMM) for dynamic sampling.
result Dynamic sampling of metal dendrites can be achieved efficiently using HGMM.
Modeling precious metals market making using nested Ornstein-Uhlenbeck processes.
problem Navigating liquidity provided by futures contracts in spot precious metals.
method Nested Ornstein-Uhlenbeck process for EFP spread modeling, Hamilton-Jacobi-Bellman equation approximation.
result Maximizing expected P&L while minimizing inventory risk in near real-time.
New periodic solutions found in 2n-body problem, braids of pseudo-Anosov type with stretch factors as metallic ratios.
problem Periodic solutions of the 2n-body problem and their braid types.
method Analyzing braid types and stretch factors associated with pseudo-Anosov braids.
result Braids from new periodic solutions are of pseudo-Anosov type with stretch factors as metallic ratios.
MetAL improves graph classification models with fewer labeled data.
problem Efficiently selecting unlabeled graph instances for training.
method Formulates AL as bilevel optimization, uses meta-learning to approximate model performance.
result MetAL outperforms existing AL algorithms on multiple graph datasets.
The assessment of co-movement among metals is crucial to better understand the behaviors of the metal prices and the interactions with others that affect the changes in prices. In this study, both Wavelet Analysis and VARMA (Vector Autoregressive Moving Average) models are utilized. First, Multiple Wavelet Coherence (M…
Artificial neural networks map quantum phases of disordered topological superconductors.
problem Classifying quantum phases of disordered topological superconductors.
method Supervised artificial neural network trained on ensemble averages of quasiparticle distributions.
result Artificial neural networks can classify quantum phases with high confidence, identifying unknown phases.
Novikov's problem of semiclassical orbits of quasi-electrons in a normal metal leads to a correspondance between 3-ply periodic functions in R and fractals in R P^2. These fractals are the complement of infinitely many open sets labeled by integer 2-cycles of T^3. Here we present a characterization of the fractal point…
A deep learning algorithm designs low-cost SPP films.
problem Designing SPP films with high accuracy and low cost.
method Guided deep learning algorithm with low-cost sample replacement.
result Deep CNN learns to replace precious metals with ordinary metals, reducing cost.
Study geodesic X-ray transform and streaking artifacts on simple surfaces or spaces of constant curvature.
problem Streaking artifacts in CT images due to metal regions.
method Geodesic X-ray transform on nontrapping compact Riemannian manifolds with strictly convex boundaries.
result Streaking artifacts result from conormal singularities along common tangent geodesics.
This work evaluates machine learning-based hotspot detectors on synthesized layout patterns.
problem Evaluating model robustness and generality of machine learning-based hotspot detectors.
method Developed an automatic layout generation tool to synthesize various layout patterns and tested machine learning-based detectors on these synthesized layouts.
result Machine learning-based detectors need continuous study for robustness and generality in DFM flows.
Deep learning maps road safety features from streetview imagery.
problem Accurate mapping of road safety features for safer roads.
method Proposes a deep learning approach with LSTM to capture spatial autocorrelation.
result Model outperforms baseline methods in mapping road safety features.
Keywords: corporate finance, Wrocław University of Economics, net profit margin lub net sales profitability
Physics-informed neural network identifies and characterizes surface cracks in metals.
problem Identifying and characterizing surface-breaking cracks in metals using ultrasound.
method Physics-informed neural network (PINN) trained with ultrasonic surface wave data and adaptive activation functions.
result PINN accurately estimates the speed of sound and identifies crack locations in metals.
Method reveals dissimilarity in alloys' Curie temperatures.
problem Tackles the dissimilarity between rare-earth transition metal binary alloys.
method Ensemble learning with Kernel ridge regression.
result Reveals meaningful relations between alloys' structure and Curie temperature.
Study properties of hyperbolic Yamabe solitons in submanifolds.
problem Characterize and understand hyperbolic Yamabe solitons in submanifolds.
method Define hyperbolic Yamabe flow, prove properties, and classify solitons.
result Prove that hyperbolic Yamabe solitons are pseudosymmetric or metallic shaped.
Decomposes financial networks to reveal cause-effect hierarchies during crises.
problem Complex financial networks are hard to interpret due to Granger causality.
method Helmholtz-Hodge-Kodaira decomposition to separate networks into rotational and gradient components.
result Precious metals and pharmaceutical products are identified as causal drivers during crises.
FFRK automatically extracts features for spatial interpolation without external variables.
problem Spatial interpolation challenges, especially nonstationarity and lack of explanatory variables.
method Feature-Free Regression Kriging (FFRK) method that extracts geospatial features.
result FFRK outperforms classical methods in predicting heavy metal concentrations.
New model predicts grain boundary migration in metals.
problem Anisotropic grain boundary migration in polycrystals.
method Level set-finite element formulation based on thermodynamics and mechanics.
result First analytical solution for anisotropic grain boundary configurations.
We have measured the dissimilarities among several printed characters of a single page in the Gutenberg 42-line bible and we prove statistically the existence of several different matrices from which the metal types where constructed. This is in contrast with the prevailing theory, which states that only one matrix per…