Results 291 to 300 of about 2,825,153 (362)

A mile high and an inch deep: Exploring ChatGPT as a mathematics curriculum development tool

School Science and Mathematics, EarlyView.
Abstract Artificial Intelligence (AI) technology has issues, including inherent bias and inaccurate information, yet it has not stifled individuals' use of this technology in the mathematics classroom. Thus, we conducted a document analysis to investigate ChatGPT, a generative AI chatbot, constructing elementary mathematical tasks to determine how ...
Amanda Gantt Sawyer, Zareen Gul Aga
wiley   +1 more source

Multiscale differential geometry learning of networks with applications to single-cell RNA sequencing data. [PDF]

Comput Biol Med
Feng H, Cottrell S, Hozumi Y, Wei GW.
europepmc   +1 more source

Where Mathematical Symbols Come From

Topics in Cognitive Science, EarlyView.
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

Unravelling the Holomorphic Twist: Central Charges. [PDF]

Commun Math Phys
Bomans P, Wu J.
europepmc   +1 more source

A new upper bound for the growth factor in Gaussian elimination with complete pivoting

Bulletin of the London Mathematical Society, EarlyView.
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

Polynomial Regression on Lie Groups and Application to SE(3). [PDF]

Entropy (Basel)
Aubray J, Nicol F.
europepmc   +1 more source

A higher dimensional version of Fáry's theorem

Bulletin of the London Mathematical Society, EarlyView.
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

Harmonic weak Maass forms and periods II. [PDF]

Math Ann
Alfes C, Bruinier JH, Schwagenscheidt M.
europepmc   +1 more source

On the isomorphism problem for monoids of product‐one sequences

Bulletin of the London Mathematical Society, EarlyView.
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