Aeroelastic force prediction via temporal fusion transformers
Abstract Aero‐structural shape design and optimization of bridge decks rely on accurately estimating their self‐excited aeroelastic forces within the design domain. The inherent nonlinear features of bluff body aerodynamics and the high cost of wind tunnel tests and computational fluid dynamics (CFD) simulations make their emulation as a function of ...
Miguel Cid Montoya+4 more
wiley +1 more source
Expansion of stereotactic work envelope using transformation matrices and geometric algebra for neurosurgery. [PDF]
Sharaf B+15 more
europepmc +1 more source
Reducing M2 macrophage in lung fibrosis by controlling anti-M1 agent. [PDF]
Bahram Yazdroudi F, Malek A.
europepmc +1 more source
Where Mathematical Symbols Come From
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Computational fluid dynamics modelling of hemodynamics in aortic aneurysm and dissection: a review. [PDF]
Hu M, Chen B, Luo Y.
europepmc +1 more source
A new upper bound for the growth factor in Gaussian elimination with complete pivoting
Abstract The growth factor in Gaussian elimination measures how large the entries of an LU factorization can be relative to the entries of the original matrix. It is a key parameter in error estimates, and one of the most fundamental topics in numerical analysis. We produce an upper bound of n0.2079lnn+0.91$n^{0.2079 \ln n +0.91}$ for the growth factor
Ankit Bisain, Alan Edelman, John Urschel
wiley +1 more source
Hierarchical simplicial manifold learning. [PDF]
Zhang W, Shih YH, Li JS.
europepmc +1 more source
A higher dimensional version of Fáry's theorem
Abstract We prove a generalization of István Fáry's celebrated theorem to higher dimensions. Namely, we show that if a finite simplicial complex X$X$ can be piecewise linearly embedded into a d$d$‐dimensional PL manifold M$M$, then there is a triangulation of M$M$ containing X$X$ as a subcomplex.
Karim Adiprasito, Zuzana Patáková
wiley +1 more source
Optimal-Reference Excited State Methods: Static Correlation at Polynomial Cost with Single-Reference Coupled-Cluster Approaches. [PDF]
Bintrim SJ, Carter-Fenk K.
europepmc +1 more source
On the isomorphism problem for monoids of product‐one sequences
Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source