Results 61 to 70 of about 1,035 (266)
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
The BGG Complex on Projective Space
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
Michael G. Eastwood, A. Rod Gover
doaj +1 more source
Symplectic duality of Symmetric Spaces [PDF]
, 2008 We show that between symmetric spaces of different types there exists a bi-symplectic map.
Loi, Andrea +4 more
core +1 more source
Pre‐Curved Everting Robots With Embedded Steering Intelligence Fabricated by CO2 Laser Welding
Advanced Intelligent Systems, EarlyView.Design and experimental demonstration of a laser welded growing robot for anatomically guided navigation. The robot follows an aortic arch phantom entering the branchiocephalic branch through steering by design. The figure shows the physical phantom setup, CAD defined weld geometry and full robot eversion.
Brandon Saldarriaga +5 more
wiley +1 more source
American Journal of Agricultural Economics, EarlyView.Abstract This paper derives a firm‐level threshold, the Herfindahl Neutral Point, from the standard concentration index used in merger review. At this threshold, a marginal expansion leaves the index unchanged. Firms below the threshold reduce concentration when they expand; firms above it increase concentration.
Andrew J. Keller, Krishna P. Paudel
wiley +1 more source
Recovering the Lie algebra from its extremal geometry
, 2015 An element x of a Lie algebra L over the field F is extremal if [. x, [. x, L]] = Fx. Under minor assumptions, it is known that, for a simple Lie algebra L, the extremal geometry E(L) is a subspace of the projective geometry of L and either has no lines ...
Shpectorov, S. +5 more
core +1 more source
Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, EarlyView.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
Advanced Physics Research, EarlyView.ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in ...
Nir Gutman +4 more
wiley +1 more source
G-deformations of maps into projective space [PDF]
, 2020 G-deformability of maps into projective space is characterised by the existence of certain Lie algebra valued 1-forms. This characterisation gives a unified way to obtain well known results regarding deformability in different ...
Pember, Mason, Pember M.
core +1 more source
Occupational Context Moderates the Association Between Agreeableness and Brain Structure
Brain Health, EarlyView.ABSTRACT Background Previous research on associations between personality traits and brain structure has yielded inconsistent findings, suggesting that such relationships may depend on contextual factors. Methods This study examined whether occupational context moderates the association between agreeableness and gray matter volume (GMV). Structural MRI
Keisuke Kokubun +2 more
wiley +1 more source