Results 111 to 120 of about 232,194 (228)

Fractal Analysis of Periodontal Tissues in Geriatric Patients With Different Periodontal Conditions: A Retrospective Study

Oral Diseases, EarlyView.
ABSTRACT Objective This study evaluated the relationship between fractal dimension (FD) values and periodontal status in geriatric patients using digital panoramic radiographs. Methodology In this retrospective observational study, 147 elderly individuals were classified as periodontally healthy (n = 30), gingivitis (n = 32), Stage I periodontitis (n = 
Dilek Ozkan Sen, Omer Ogutcen, Fatma Ucan Yarkac, Ibrahim Burak Yuksel, Muhammet Emin Arslan, Zeynep Tastan Eroglu   +5 more
wiley   +1 more source

Nonlinear Fractal Interpolation Functions Under Integral-Type Contractive Conditions

Fractal and Fractional
Given a finite set of interpolation data {(xi,yi)∈I×R,i=0,1,…,N}, I=[x0,xN], we construct a class of nonlinear fractal interpolation functions whose graphs are realized as attractors of appropriately defined iterated function systems.
Hajer Jebali, Najmeddine Attia
doaj   +1 more source

A Coarse Geometric Approach to Graph Layout Problems

Journal of Graph Theory, Volume 113, Issue 2, Page 169-194, October 2026.
ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang, David Hume, Samuel J. Kelly, Ryan Lam   +3 more
wiley   +1 more source

BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS

Fractals, 2002
In this paper, a method of construction of fractal interpolation functions (FIF) on random grids in ℝ2 is examined.
openaire   +2 more sources

One‐Class Autoencoders for Porcelain Art Attribution: The Case of William Billingsley

Archaeometry, Volume 68, Issue 5, Page 1110-1122, October 2026.
ABSTRACT This comprehensive study explores the application of advanced machine learning techniques, specifically one‐class autoencoders, for the authentication and attribution of English porcelain artworks. Focusing primarily on the works of William Billingsley (1758–1828), one of England's most celebrated porcelain decorators, we demonstrate how ...
Hassan Ugail, Morgan Denyer, Rachel Denyer, Howell Edwards   +3 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Mortar Method With Interpolative Mapping Displacement for Nonmatching Mesh Problems

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT In this paper, an interpolative mapping mortar method (IM‐mortar) is proposed for nonmatching finite element meshes. Displacement continuity is enforced weakly using a Lagrange multiplier field. An intermediate frame is introduced, on which the interface displacement field is reconstructed from the adjoining bodies through interpolative ...
Joon‐Young Kim, Byung‐Chai Lee, Jae‐Hoon Choi, Gi‐Dong Sim   +3 more
wiley   +1 more source

Water Permeates and Plasticizes Amorphous Carbon Dots: Unraveling the Inner Accessibility of the Nanoparticles by Glass Transition Studies

Advanced Materials, Volume 38, Issue 51, 11 September 2026.
The water permeability of amorphous carbon dots (CDs) is demonstrated by investigating their plasticization. Novel polyamide‐based and amorphous nanoparticles are synthesized by controlling their inner packing density. Water plasticization is evidenced by the decrease of the CDs glass transition temperature with increasing the hydration degree.
Elisa Sturabotti, Valerio Di Lisio, Lucia Cardo, Alessandro Camilli, Estela Moretón Alfonsín, Daniele Cangialosi, Amaia Iturrospe Ibarra, Arantxa Arbe, Maurizio Prato   +8 more
wiley   +1 more source

Personalized Network‐Guided Neuromodulation Enhances Human Working Memory

Advanced Science, Volume 13, Issue 49, 3 September 2026.
A personalized neuromodulation framework combining individualized functional brain network targeting with real‐time neural decoding is introduced. Using concurrent TMS–fMRI, participant‐specific stimulation targets and optimal frequencies are identified. Only optimal‐frequency stimulation improves working memory across sessions.
Ahsan Khan, Hongming Li, Camille Blaine, Julie Grier, Ethan Hammett, Almaris Figueroa‐Gonzalez, Sarai Garcia, Romain Duprat, Justin Reber, Joseph Deluisi, Christos Davatzikos, Theodore D. Satterthwaite, Yong Fan, Desmond J. Oathes   +13 more
wiley   +1 more source

Femtosecond‐Laser‐Induced Physical Unclonable Random Maze Structure for Storage‐Free Encryption

Advanced Science, Volume 13, Issue 49, 3 September 2026.
Femtosecond‐laser‐induced gold random maze structures serve as multimodal physical unclonable functions for storage‐free encryption. Their stochastic optical, electrical, and Raman responses are generated by plasmon‐assisted Marangoni formation and converted into AES‐compatible keys without permanent secret‐key storage, offering a portable route toward
Shiru Jiang, Hongliang Li, Shengjie Ma, Sang‐Shin Lee, Lei Wang, Mengyun Hu, Heping Zeng   +6 more
wiley   +1 more source