Results 111 to 120 of about 11,887 (293)

Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra. [PDF]

Int J Environ Res Public Health, 2022
Jiang X, Huang Y, Zhang F.
europepmc   +1 more source

Geometric Algebras

, 2005
This is the first paper in a series of eight where in the first three we develop a systematic approach to the geometric algebras of multivectors and extensors, followed by five papers where those algebraic concepts are used in a novel presentation of several topics of the differential geometry of (smooth) manifolds of arbitrary global topology.
Moya, A. M., Fernandez, V. V., Rodrigues Jr, W. A.   +2 more
openaire   +2 more sources

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

Quasilocal angular momentum of gravitational fields in (2+2) formalism

EPJ Web of Conferences, 2018
Recently the Poisson algebra of a quasilocal angular momentum of gravitational fields L(ξ) in (2+2) formalism of Einstein’s theory was studied in detail [1].
Oh Seung Hun, Yoon Jong Hyuk
doaj   +1 more source

Geometric algebra based recurrent neural network for multi-dimensional time-series prediction. [PDF]

Front Comput Neurosci, 2022
Li Y, Wang Y, Wang Y, Qian C, Wang R.
europepmc   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

A Functorial Construction of Quantum Subtheories

Entropy, 2017
We apply the geometric quantization procedure via symplectic groupoids to the setting of epistemically-restricted toy theories formalized by Spekkens (Spekkens, 2016).
Ivan Contreras, Ali Nabi Duman
doaj   +1 more source

The influence of geometric algebra in surgical practice of sleeve gastrectomy-single center experience. [PDF]

Medicine (Baltimore), 2022
Yao G, Aierken A, Li T, Cao X, Apaer S, Anweier N, Wu J, Fulati X, Zhang YF, Tuerxunmaimaiti A, Tuxun T.   +10 more
europepmc   +1 more source

Algebraic programming of geometrical calculus and clifford algebra

Journal of Symbolic Computation, 1989
The basic concepts of geometrical calculus have been implemented in an algebraic programming language. In this paper, we describe how our program performs fundamental operations on multivectors.
Ph. Tombal, A. Moussiaux
openaire   +2 more sources

Patient‐Centric First‐in‐Human Dose Selection: An Ex Vivo Minimal Anticipated Biological Effect Level Approach for T‐Cell Engagers in Multiple Myeloma

Clinical Pharmacology &Therapeutics, EarlyView.
The minimal anticipated biological effect level (MABEL) approach to first‐in‐human (FIH) dose calculation can lead to long dose‐escalation periods before observing clinical activity. We used a novel ex vivo MABEL approach to calculate the FIH starting dose for forimtamig, a T‐cell bispecific antibody under investigation for the treatment of relapsed ...
Thomas E. Kraft, Estelle Marrer‐Berger, Sara Belli, Helene Haegel, Anneliese Schneider, Anna Maria Giusti, Michael Bscheider, Wolfgang Jacob, Martin Weisser, Laura Blanco, Nicolas Frances, Eva Rossmann, Guido Steiner, Aintzane Zabaleta Azpiroz, Bruno Paiva, Ludovic Martinet, Tanja Fauti   +16 more
wiley   +1 more source