Tootfinder

A modified Newmark/Newton-Raphson method with automatic differentiation for general nonlinear dynamics analysis
Yifan Jiang, Yuhong Jin, Lei Hou, Yi Chen, Andong Cong
https://arxiv.org/abs/2506.13226

A modified Newmark/Newton-Raphson method with automatic differentiation for general nonlinear dynamics analysis
The Newmark/Newton-Raphson (NNR) method is widely employed for solving nonlinear dynamic systems. However, the current NNR method exhibits limited applicability in complex nonlinear dynamic systems, as the acquisition of the Jacobian matrix required for Newton iterations incurs substantial computational costs and may even prove intractable in certain cases. To address these limitations, we integrate automatic differentiation (AD) into the NNR method, proposing a modified NNR method with AD (NNR…

Mathematical reflections on modified fractional counting
Leo Egghe, Ronald Rousseau
https://arxiv.org/abs/2506.12057 https://arxiv.or…

Mathematical reflections on modified fractional counting
We make precise what is meant by stating that modified fractional counting (MFC) lies between full counting and complete-normalized fractional counting by proving that for individuals, the MFC-values are weighted geometric averages of these two extremes. There are two essentially different ways to consider the production of institutes in multi-institutional articles, namely participation and actual number of contributions. Starting from an idea published by Sivertsen, Rousseau and Zhang in 2019…

Trump’s tariffs are running up against the limits of nature
The deeper you delve into the weird and wonderful world of aluminum,
the more you realize there are physical limits that make a resurgence of U.S. production unlikely.

Raw supply isn’t the problem.
There is more aluminum in the Earth’s crust than any other metal.
But finding a way of extracting it and turning it into a usable form was something we achieved surprisingly recently. -- Until then, it was the mo…

Trump’s tariffs are running up against the limits of nature
U.S. geography makes it difficult to produce more aluminum — even with a 50 percent tariff for motivation.

Sen. Amy Klobuchar says authorities believe suspect in 'politically motivated assassination' is still in the Midwest (Megan Lebowitz/NBC News)
https://www.nbcnews.com/news/us-news/klobuchar-says-authorities-believe-suspect-politically-motivated-killi-rcna213118
http://www.memeorandum.com/250615/p35#a250615p35

Application of a modified commercial laser mass spectrometer as a science analog of the Mars Organic Molecule Analyzer (MOMA)
Zachary K. Garvin (Georgetown University, Washington, D.C., USA), Ana\"is Roussel (Georgetown University, Washington, D.C., USA), Luoth Chou (NASA Goddard Space Flight Center, Greenbelt, MD, USA), Marco E. Castillo (NASA Goddard Space Flight Center, Greenbelt, MD, USA, Aerodyne Industries, Cape Canaveral, FL, USA), Xiang Li (NASA Goddard Space Flight Center…

Application of a modified commercial laser mass spectrometer as a science analog of the Mars Organic Molecule Analyzer (MOMA)
The ESA/NASA Rosalind Franklin rover, planned for launch in 2028, will carry the first laser desorption ionization mass spectrometer (LDI-MS) to Mars as part of the Mars Organic Molecule Analyzer (MOMA) instrument. MOMA will contribute to the astrobiology goals of the mission through the analysis of potential organic biosignatures. Due to the minimal availability of comparable equipment, laboratory analyses using similar techniques and instrumentation have been limited. In this study, we presen…

watchOS 26 bringt Motivationstrainer, neues Design und mehr Komfort
Motivationssprüche direkt ins Ohr – die Apple Watch bekommt mit watchOS 26 neben dem neuen Design einen Fitnesstrainer. Einzelne Funktionen werden komfortabler.

Wie halten wir Kinder langfristig beim Schach? Hol dir Impulse, um Motivation kindgerecht zu fördern. Viele weitere Themen warten auf dich!
➡️ https://www.deutsche-schachjugend.de/termine/2025/akademie/

Decay of dark energy into dark matter in a metric $f(R)$ gravity: effective running Hubble constant
Giovanni Montani, Mariaveronica De Angelis, Maria Giovanna Dainotti
https://arxiv.org/abs/2506.13288

Decay of dark energy into dark matter in a metric $f(R)$ gravity: effective running Hubble constant
We examine a modified late-Universe dynamics where dark energy decays into dark matter, within the framework of metric $f(R)$-gravity in the Jordan frame. After a detailed analysis of the modified $Λ\text{CDM}$ model, we introduce a theoretical diagnostic tool to capture the emergence of an effective running Hubble constant as a function of redshift. We then compare this theoretical model with the 40-bin analysis of the Supernova Pantheon sample. This comparison allows us to determine the valu…

Surface Minkowski tensors to characterize shapes on curved surfaces
Lea Happel, Hanne Hardering, Simon Praetorius, Axel Voigt
https://arxiv.org/abs/2506.13880

Surface Minkowski tensors to characterize shapes on curved surfaces
We introduce surface Minkowski tensors to characterize rotational symmetries of shapes embedded in curved surfaces. The definition is based on a modified vector transport of the shapes boundary co-normal into a reference point which accounts for the angular defect that a classical parallel transport would introduce. This modified transport can be easily implemented for general surfaces and differently defined embedded shapes, and the associated irreducible surface Minkowski tensors give rise to…

Ob morgens oder zwischen zwei Partien – mit den richtigen Energizern bringst du Schwung in jede Gruppe. Ein Workshop mit Aha- und Spaßmomenten!
➡️ https://www.deutsche-schachjugend.de/termine/2025/akademie/