Results 41 to 50 of about 3,294 (223)

Effective dimension in some general metric spaces [PDF]

Electronic Proceedings in Theoretical Computer Science, 2014
We introduce the concept of effective dimension for a general metric space. Effective dimension was defined by Lutz in (Lutz 2003) for Cantor space and has also been extended to Euclidean space.
Elvira Mayordomo
doaj   +1 more source

Selective Modification of the Product Profile of Biocatalytic Hydrolyzed PET via Product‐Specific Medium Engineering

ChemSusChem, Volume 18, Issue 6, March 15, 2025.
The product profile of enzymatically hydrolyzed PET can be modified by medium engineering and thereby adapted to a desired product. TPA, MHET or BHET can be forced as the predominant product using a basic pH (blue), 25 % ethylene glycol (EG) and IsPETasewt (green) or ≥25 % EG and LCCICCG (pink), respectively.
Tobias Heinks, Katrin Hofmann, Simon Last, Igor Gamm, Luise Blach, Ren Wei, Uwe T. Bornscheuer, Christof Hamel, Jan von Langermann   +8 more
wiley   +1 more source

The μ-topological Hausdorff dimension

Extracta Mathematicae, 2019
In 2015, R. Balkaa, Z. Buczolich and M. Elekes introduced the topological Hausdorff dimension which is a combination of the definitions of the topological dimension and the Hausdorff dimension.
Hela Lofti
doaj  

Fractional dimension of some exceptional sets in continued fractions

Comptes Rendus. Mathématique
In this paper, we calculate the Hausdorff dimension of some exceptional sets that emerge from specific constraints imposed on the partial quotients of continued fractions.
Hussain, Mumtaz, Smith, Rebecca, Zhang, Zhenliang   +2 more
doaj   +1 more source

Nearly-doubling spaces of persistence diagrams

Journal of Computational Geometry, 2023
The space of persistence diagrams under bottleneck distance is known to have infinite doubling dimension. Because many metric search algorithms and data structures have bounds that depend on the dimension of the search space, the high dimensionality ...
Donald Sheehy, Siddharth Sheth
doaj   +1 more source

Automated segmentation of postsurgical resection cavities on magnetic resonance imaging in focal epilepsy: A Multicentre Epilepsy Lesion Detection study

Epilepsia, EarlyView.
Abstract Objective Quantitative assessment of extent of tissue resection following epilepsy surgery requires accurate delineation of the resection cavity on postoperative magnetic resonance imaging (MRI). Current methods for resection cavity masking are time‐consuming and labor‐intensive, and existing automated approaches exhibit variable segmentation ...
Jieun Seo, Mathilde Ripart, Helene Kaas, Cornelius Kronlage, Ben Sinclair, Lucy Vivash, Merran R. Courtney, Terence J. O'Brien, Siby Gopinath, Harilal Parasuram, Sedat Kandemirli, Natally Alarab, Lillian Lai, Marcus Likeman, Kai Zhang, Jiajie Mo, Georgian Ciobotaru, James Galea, Philip Sequeiros‐Peggs, Khalid Hamandi, Hua Xie, Venkata Sita Priyanka Illapani, William D. Gaillard, Nathan T. Cohen, Alexander G. Weil, Florence Henrichon‐Goulet, Kenza S. Lahlou, Aristides Hadjinicolaou, Agustín Ibáñez, Gonzalo M. Rojas‐Costa, Horst Urbach, Lara Bücheler, Marcel Heers, Adrián Valls Carbó, Rafael Toledano, Giulia Nobile, Costanza Parodi, Domenico Tortora, Alessandro Consales, Antonella Riva, Mariasavina Severino, Martin Tisdall, Felice D'Arco, Kshitij Mankad, Aswin Chari, Maria H. Eriksson, Rory J. Piper, J. Helen Cross, Torsten Baldeweg, Sofia González‐Ortiz, Jose Pariente, Nuria Bargalló, Yawu Liu, Reetta Kälviäinen, Carmen Barba, Matteo Lenge, Renzo Guerrini, Masaki Iwasaki, Daichi Sone, Hiroyuki Maki, Tomoki Imokawa, Noriko Sato, Julien Jung, Francisco Sepulveda, Daniel Mansilla, Andres Goycoolea, Ingeborg Lopez, Antonio Napolitano, Alessandro De Benedictis, Luca De Palma, Maria Camilla Rossi‐Espagnet, Nikolaos Kondylidis, Kostakis Gkiatis, Kyriakos Garganis, Joshua Pepper, Stefano Seri, John S. Duncan, Clarissa L. Yasuda, Lucas Scárdua‐Silva, Marina K. M. Alvim, Fernando Cendes, Antonio G. Gennari, Ruth O'Gorman Tuura, Georgia Ramantani, Mariam Josyula, Joel Stein, Nishant Sinha, Kate Davis, R. Edward Hogan, Luigi Maccotta, Sophie Adler, Konrad Wagstyl   +91 more
wiley   +1 more source

3D Printing a Clinically Available Solution From Plaster‐Based Positives in Superficial Radiation Therapy

Journal of Medical Radiation Sciences, EarlyView.
This study compares two techniques for creating lead shielding masks to replace the current process for superficial/orthovoltage facial radiotherapy: Plaster Cast Positive Mould (PCPM), CT Scanned 3D Print (CT3DP), and Optical Scan 3D Print (OS3DP). CT3DP was found to be more accurate and preferred over OS3DP.
Rory Hartley, Linda Bell, Toby Lowe, Jeremy Booth, Sarah Bergamin, Dasantha Jayamanne, Ryan Brown   +6 more
wiley   +1 more source

Pretreatment Prediction of Tumor Recurrence in Breast Cancer After Neoadjuvant Systemic Therapy Using Machine Learning With Clinical and CT Radiomics Features

The Kaohsiung Journal of Medical Sciences, EarlyView.
ABSTRACT This study aimed to develop machine learning models for predicting tumor recurrence in breast cancer before neoadjuvant systemic therapy (NST) by integrating clinical and radiomic features derived from pretreatment computed tomography (CT).
Huei‐Yi Tsai, Jo‐Ching Wang, Wei‐Shiuan Chung, Jui‐Sheng Hsu, Shu‐Yen Lin, Ming‐Feng Hou, Ming‐Chung Chou   +6 more
wiley   +1 more source

Sierpiński Fractals and the Dimension of Their Laplacian Spectrum

Mathematical and Computational Applications, 2023
We establish rigorous estimates for the Hausdorff dimension of the spectra of Laplacians associated with Sierpiński lattices and infinite Sierpiński gaskets and other post-critically finite self-similar sets.
Mark Pollicott, Julia Slipantschuk
doaj   +1 more source

MRI‐based deep learning models match or surpass physician performance for early detection and staging of avascular necrosis of the femoral head: A systematic review

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose Efficient and reliable magnetic resonance imaging (MRI)‐based diagnosis of early avascular necrosis of the femoral head (AVNFH) is essential for guiding treatment but remains challenging due to variability in clinician experience. Deep learning (DL) models offer a promising solution. This review evaluates and summarizes the performance
Khaled Skaik, Jean Pierre Abdallah, Marc Daniel Bouchard, Olufemi R. Ayeni, Mahmoud Almasri   +4 more
wiley   +1 more source