Results 151 to 160 of about 25,191 (172)
A Majorization-Minimization Algorithm for Neuroimage Registration. [PDF]
Zhou G, Tward D, Lange K.
europepmc +1 more source
Distribution of centrality measures on undirected random networks via the cavity method. [PDF]
Bartolucci S +3 more
europepmc +1 more source
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery. [PDF]
Yu Y +5 more
europepmc +1 more source
Identifiability and model selection frameworks for models of high-grade glioma response to chemoradiation. [PDF]
Hiremath KC +12 more
europepmc +1 more source
Balance equations for physics-informed machine learning. [PDF]
Molnar SM, Godfrey J, Song B.
europepmc +1 more source
A seven-step guide to spatial, agent-based modelling of tumour evolution. [PDF]
Colyer B, Bak M, Basanta D, Noble R.
europepmc +1 more source
New Product Formulas for Classical Gauss Sums
In this paper, the authors prove interesting triplication formulas for classical Gaussian sums using elementary methods from algebra and number theory. Letting \(\tau(\chi)\) denote the Gaussian sum \(\tau(\chi) = \sum_{\mu=1}^{q} \chi(\mu) \exp(2\pi i \mu/q)\), one such triplication formula is \[ \tau(\chi^6) = \left(\frac{-1}{q}\right) \frac{\chi(432)
Wenpeng Zhang
exaly +4 more sources

