Results 91 to 100 of about 1,498,959 (338)

On the affine geometry of congruences of lines

, 2023
Congruences, or $2$-parameter families of lines in $3$-space are of interest in many situations, in particular in geometric optics. In this paper we consider elements of their geometry which are invariant under affine changes of co-ordinates, for example that associated with their focal sets, and less well studied focal planes.
Bruce, J. W., Tari, F.
openaire   +2 more sources

Hip morphology‐based osteoarthritis risk prediction models: development and external validation using individual participant data from the World COACH Consortium

Arthritis Care &Research, Accepted Article.
Objectives This study aims to develop hip morphology‐based radiographic hip osteoarthritis (RHOA) risk prediction models and investigates the added predictive value of hip morphology measurements and the generalizability to different populations. Methods We combined data from nine prospective cohort studies participating in the World COACH consortium ...
Myrthe A. van den Berg, Fleur Boel, Michiel M.A. van Buuren, Noortje S. Riedstra, Jinchi Tang, Harbeer Ahedi, Nigel K. Arden, Sita M.A. Bierma‐Zeinstra, Cindy G. Boer, Flavia M. Cicuttini, Timothy F. Cootes, David T. Felson, Willem Paul Gielis, Joshua Heerey, Graeme Jones, Stefan Kluzek, Nancy E. Lane, Claudia Lindner, Joyce B.J. van Meurs, Andrea Mosler, Amanda E. Nelson, Michael C. Nevitt, Edwin H. Oei, Jos Runhaar, Harrie Weinans, Jesse H. Krijthe, Rintje Agricola   +26 more
wiley   +1 more source

Heat Kernels Estimates for Hermitian Line Bundles on Manifolds of Bounded Geometry

Mathematics, 2021
We consider a family of semiclassically scaled second-order elliptic differential operators on high tensor powers of a Hermitian line bundle (possibly, twisted by an auxiliary Hermitian vector bundle of arbitrary rank) on a Riemannian manifold of bounded
Yuri A. Kordyukov
doaj   +1 more source

The line geometry of a class of linear spaces

Discrete Mathematics, 1997
For a projective space \({\mathbf P}\) (of dimension greater than \(2\)), the Grassmann space \(\Gamma^1({\mathbf P})=(G,{\mathcal L},{\mathcal S})\) consists of the set \(G\) of all lines of \({\mathbf P}\), the set \({\mathcal L}\) of line pencils (sets of lines incident with a given point-plane pair) and the set \({\mathcal S}\) of stars (sets of ...
Jürgen Misfeld, Corrado Zanella
openaire   +2 more sources

A Clifford Algebraic Approach to Line Geometry [PDF]

Advances in Applied Clifford Algebras, 2014
In this paper we combine methods from projective geometry, Klein's model, and Clifford algebra. We develop a Clifford algebra whose Pin group is a double cover of the group of regular projective transformations. The Clifford algebra we use is constructed as homogeneous model for the five-dimensional real projective space $P^5(\mathbb{R})$ where Klein's
openaire   +3 more sources

Hyperoxia Induced Alteration of Chromatin Structure in Human Bone Marrow Derived Primary Mesenchymal Stromal Cells

Advanced Biology, EarlyView.
Chromatin, which organizes DNA, changes its structure to adapt to stress like high oxygen levels (hyperoxia), which can damage cells. Researchers developed a technique to observe these changes and found variability in how different parts of chromatin remodel.
Lauren Monroe, Samantha Kaonis, Natalie Calahan, Neda Kabi, Soham Ghosh   +4 more
wiley   +1 more source

ESTIMATING TORSION OF DIGITAL CURVES USING 3D IMAGE ANALYSIS

Image Analysis and Stereology, 2016
Curvature and torsion of three-dimensional curves are important quantities in fields like material science or biomedical engineering. Torsion has an exact definition in the continuous domain.
Christoph Blankenburg, Christian Daul, Joachim Ohser   +2 more
doaj   +1 more source

Activation of NF‐κB Signaling by Optogenetic Clustering of IKKα and β

Advanced Biology, EarlyView.
This study presents an optogenetic approach for graded clustering of eGFP‐fused proteins using an eGFP‐specific nanobody and engineered Cryptochrome 2 variants. The method enables potent, reversible activation of NF‐κB signaling via endogenous pathways, as confirmed by RNA sequencing. This versatile system provides a spatially and temporally controlled
Alexandra Anna Maria Fischer, Markus Michael Kramer, Miguel Baños, Merlin Moritz Grimm, Manfred Fliegauf, Bodo Grimbacher, Gerald Radziwill, Sven Rahmann, Wilfried Weber   +8 more
wiley   +1 more source

Exploration of mathematical concepts in Batik Truntum Surakarta

Infinity
This research investigates the mathematical concepts embedded within Batik Truntum motifs, including geometry, analysis, arithmetic, and algebra. Employing a qualitative methodology with an ethnographic approach, the study addresses four critical ...
Adi Nurcahyo, Naufal Ishartono, Alma Yasinta Candra Pratiwi, Mohamad Waluyo   +3 more
doaj   +1 more source

Applications of Conformal Geometric Algebra to Transmission Line Theory

IEEE Access, 2017
In this paper, we present the application of a projective geometry tool known as conformal geometric algebra (CGA) to transmission line theory. Explicit relationships between the Smith Chart, Riemann Sphere, and CGA are developed to illustrate the ...
Alex Arsenovic
doaj   +1 more source