Tootfinder

A few windows in the French Quarter of New Orleans.
1) Conti Street
2) Bienville Street
3) Jackson Brewery
4) Chartres Street
Photos by Infrogmation of New Orleans
@…
#NewOrleans

This https://arxiv.org/abs/2309.10521 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the arithmetic Hilbert depth
Let $h:\mathbb Z \to \mathbb Z_{\geq 0}$ be a nonzero function with $h(k)=0$ for $k\ll 0$. We define the Hilbert depth of $h$ by $\operatorname{hdepth}(h)=\max\{d\;:\; \sum_{j\leq k} (-1)^{k-j}\binom{d-j}{k-j}h(j)\geq 0\text{ for all }k\leq d\}$. We show that $\operatorname{hdepth}(h)$ is a natural generalization for the Hilbert depth of a subposet $\operatorname{P}\subset 2^{[n]}$ and we prove some basic properties of it. Given $h(j)=\begin{cases} aj^n+b,& j\geq 0 \\ 0, & j<0 \end{cases}$, w…

Tight Hamiltonicity from dense links of triples
Richard Lang, Mathias Schacht, Jan Volec
https://arxiv.org/abs/2403.14518 https://arx…

Tight Hamiltonicity from dense links of triples
We show that for all $k\geq 4$, $\varepsilon >0$, and $n$ sufficiently large, every $k$-uniform hypergraph on $n$ vertices in which each set of $k-3$ vertices is contained in at least $(5/8 + \varepsilon) \binom{n}{3}$ edges contains a tight Hamilton cycle. This is asymptotically best possible.

'Thought he was being deviously clever': Analyst says MAGA ally Bannon just exposed big Trump lie - Raw Story
https://www.rawstory.com/trump-bannon-maga/

'Thought he was being deviously clever': Analyst says MAGA ally just exposed big Trump lie
Steve Bannon’s attempt to talk up a Donald Trump “secretive scheme” on the campaign trail blew up in his face when he exposed a large lie instead, according to a new political analysis. “Bannon no doubt thought he was being deviously clever,” Greg Sargent wrote for the National Review Thursday.Sarge...

Stokes Law at Molecular Length Scales: Effects of Intermolecular Interactions and Linear Response Theory
Subhajit Acharya, Biman Bagchi
https://arxiv.org/abs/2402.16301

Stokes Law at Molecular Length Scales: Effects of Intermolecular Interactions and Linear Response Theory
The celebrated Stokes Law (SL) of hydrodynamics predicts that the velocity of a particle pulled through a liquid by an external force, Fex, is directly proportional to the force and inversely proportional to the friction ζ acted by the medium on the particle. We investigate the range of validity of Stokes Law at molecular length scales by employing computer simulations to calculate friction by pulling a tagged particle with a constant force. We thus calculate friction for two model interaction…

This https://arxiv.org/abs/2402.01478 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the Hilbert depth of quadratic and cubic functions
Given a numerical function $h:\mathbb Z_{\geq 0}\to\mathbb Z_{\geq 0}$ with $h(0)>0$, the Hilbert depth of $h$ is $\operatorname{hdepth}(h)=\max\{d\;:\;\sum\limits_{j=0}^k (-1)^{k-j}\binom{d-j}{k-j}h(j)\geq 0\text{ for all }k\leq d\}$; see arXiv:2309.10521 . In this note, we study the Hilbert depth of the functions $h_2(j)=aj^2+bj+e$, $j\geq 0$, and $h_3(j)=aj^3+bj^2+cj+e$, $j\geq 0$, where $a,b,c,e$ are some integers with $a,e>0$. We prove that if $b<0$ and $b^2\leq 4ae$ then $\operatorname{hd…

Building Defect Prediction Models by Online Learning Considering Defect Overlooking
Nikolay Fedorov, Yuta Yamasaki, Masateru Tsunoda, Akito Monden, Amjed Tahir, Kwabena Ebo Bennin, Koji Toda, Keitaro Nakasai
https://arxiv.org/abs/2404.11033

Building Defect Prediction Models by Online Learning Considering Defect Overlooking
Building defect prediction models based on online learning can enhance prediction accuracy. It continuously rebuilds a new prediction model, when a new data point is added. However, a module predicted as "non-defective" can result in fewer test cases for such modules. Thus, a defective module can be overlooked during testing. The erroneous test results are used as learning data by online learning, which could negatively affect prediction accuracy. To suppress the negative influence, we propose …

Bayesian Analysis of Conventional and Ultrafast Spectroscopy Data for Investigating Detachment in the MAST-Upgrade Super-X
Xander Pope, Kevin Verhaegh, Chris Bowman, Bruce Lipschultz
https://arxiv.org/abs/2404.15072

Bayesian Analysis of Conventional and Ultrafast Spectroscopy Data for Investigating Detachment in the MAST-Upgrade Super-X
This paper presents the application, testing and first results of a new adaptive Bayesian inference analysis which utilises conventional and ultrafast spectroscopic measurements made in the divertor chamber to investigate the divertor physics during detachment. Validation of this software is performed prior and during analyses of results, demonstrated by compelling reproductions of ideal test cases and synthetic spectroscopic measurements. Application on real diagnostic data shows strong agreem…

This https://arxiv.org/abs/2309.10521 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the arithmetic Hilbert depth
Let $h:\mathbb Z \to \mathbb Z_{\geq 0}$ be a nonzero function with $h(k)=0$ for $k\ll 0$. We define the Hilbert depth of $h$ by $\operatorname{hdepth}(h)=\max\{d\;:\; \sum_{j\leq k} (-1)^{k-j}\binom{d-j}{k-j}h(j)\geq 0\text{ for all }k\leq d\}$. We show that $\operatorname{hdepth}(h)$ is a natural generalization for the Hilbert depth of a subposet $\operatorname{P}\subset 2^{[n]}$ and we prove some basic properties of it. Given $h(j)=\begin{cases} aj^n+b,& j\geq 0 \\ 0, & j<0 \end{cases}$, w…

This https://arxiv.org/abs/2402.01478 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the Hilbert depth of quadratic and cubic functions
Given a numerical function $h:\mathbb Z_{\geq 0}\to\mathbb Z_{\geq 0}$ with $h(0)>0$, the Hilbert depth of $h$ is $\operatorname{hdepth}(h)=\max\{d\;:\;\sum\limits_{j=0}^k (-1)^{k-j}\binom{d-j}{k-j}h(j)\geq 0\text{ for all }k\leq d\}$; see arXiv:2309.10521 . In this note, we study the Hilbert depth of the functions $h_2(j)=aj^2+bj+e$, $j\geq 0$, and $h_3(j)=aj^3+bj^2+cj+e$, $j\geq 0$, where $a,b,c,e$ are some integers with $a,e>0$. We prove that if $b<0$ and $b^2\leq 4ae$ then $\operatorname{hd…