Tootfinder

This https://arxiv.org/abs/1908.01696 has been replaced.
link: https://scholar.google.com/scholar?q=a

A two-parameter entropy and its fundamental properties
This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and the Shannon entropy for specific values of its parameters. We develop a number of information-theoretic properties of this generalized entropy and divergence, for instance, the sub-additive property, strong sub-additive property, joint convexity, and information monotonicity. This article presents an exposit investigation on the information-theoretic and information-geometric characteristics o…

Time For 9 o'clock #HashTagGames hosted by @…
Today is Letter Elder Day. A day when you are reminded to send the elders and older people in your lives a letter. Let's play!
#ElderASongOrPoem
#HashTagGames
How to play: Write something, Use the HashTag, Toot/Post and Repeat!
Use song names, lyrics, bands, poems, etc. Direct to a grandparent, teacher, someone older in life.
(Pictured, my late grandmother (1908-1995) that raised me.)

This https://arxiv.org/abs/1908.06324 has been replaced.
link: https://scholar.google.com/scholar?q=a

Dynamics of neural fields with exponential temporal kernel
We consider the standard neural field equation with an exponential temporal kernel. We analyze the time-independent (static) and time-dependent (dynamic) bifurcations of the equilibrium solution and the emerging spatiotemporal wave patterns. We show that an exponential temporal kernel does not allow static bifurcations such as saddle-node, pitchfork, and in particular, static Turing bifurcations. However, the exponential temporal kernel possesses the important property that it takes into accoun…

Edie Ceccarelli, the oldest person in the US, dies aged 116
Edie Ceccarelli, who was the oldest person in the US and the second oldest person on Earth, died on Thursday.
Ceccarelli died a little over two weeks after her home town – the small, redwood-crested northern California town of Willits – threw her a huge birthday bash, as is their yearly tradition.

This https://arxiv.org/abs/1908.10510 has been replaced.
link: https://scholar.google.com/scholar?q=a

A universal characterization of standard Borel spaces
We prove that the category $\mathsf{SBor}$ of standard Borel spaces is the (bi-)initial object in the 2-category of countably complete Boolean (countably) extensive categories. This means that $\mathsf{SBor}$ is the universal category admitting some familiar algebraic operations of countable arity (e.g., countable products, unions) obeying some simple compatibility conditions (e.g., products distribute over disjoint unions). More generally, for any infinite regular cardinal $κ$, the dual of th…

D39,643 - issued in 1908 for a design for a "glass vessel." #DesignPatents

This https://arxiv.org/abs/1908.04218 has been replaced.
link: https://scholar.google.com/scholar?q=a

Asymptotic Validity and Finite-Sample Properties of Approximate Randomization Tests
Randomization tests rely on simple data transformations and possess an appealing robustness property. In addition to being finite-sample valid if the data distribution is invariant under the transformation, these tests can be asymptotically valid under a suitable studentization of the test statistic, even if the invariance does not hold. However, practical implementation often encounters noisy data, resulting in approximate randomization tests that may not be as robust. In this paper, our key t…

Reading a short story from 1950 and had to stop and look up what the hell someone might be eating if they had "coffee and a snail" for breakfast.
(It's a cinnamon roll.)
https://greensdictofslang.com/entry/dhkqysi

This https://arxiv.org/abs/2402.13829 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Kummer ratio of the relative class number for prime cyclotomic fields
Kummer's conjecture predicts the asymptotic growth of the relative class number of prime cyclotomic fields. We substantially improve the known bounds of Kummer's ratio under three scenarios: no Siegel zero, presence of Siegel zero and assuming the Riemann Hypothesis for the Dirichlet $L$-series attached to odd characters only. The numerical work in this paper extends and improves on our earlier preprint (arXiv:1908.01152) and demonstrates our theoretical results.

Time For 9 o'clock #HashTagGames hosted by @…
Today is Letter Elder Day. A day when you are reminded to send the elders and older people in your lives a letter. Let's play!
#ElderASongOrPoem
#HashTagGames
How to play: Write something, Use the HashTag, Toot/Post and Repeat!
Use song names, lyrics, bands, poems, etc. Direct to a grandparent, teacher, someone older in life.
(Pictured, my late grandmother (1908-1995) that raised me.)

This https://arxiv.org/abs/1908.03591 has been replaced.
link: https://scholar.google.com/scholar?q=a

Toward a Taxonomy of Inventory Systems for Virtual Reality Games
Virtual reality (VR) games are gradually becoming more elaborated and feature-rich, but fail to reach the complexity of traditional digital games. One common feature that is used to extend and organize complex gameplay is the in-game inventory, which allows players to obtain and carry new tools and items throughout their journey. However, VR imposes additional requirements and challenges that impede the implementation of this important feature and hinder games to unleash their full potential. O…

This https://arxiv.org/abs/1908.10510 has been replaced.
link: https://scholar.google.com/scholar?q=a

A universal characterization of standard Borel spaces
We prove that the category $\mathsf{SBor}$ of standard Borel spaces is the (bi-)initial object in the 2-category of countably complete Boolean (countably) extensive categories. This means that $\mathsf{SBor}$ is the universal category admitting some familiar algebraic operations of countable arity (e.g., countable products, unions) obeying some simple compatibility conditions (e.g., products distribute over disjoint unions). More generally, for any infinite regular cardinal $κ$, the dual of th…

This https://arxiv.org/abs/1908.08395 has been replaced.
link: https://scholar.google.com/scholar?q=a

A tale of two shuffle algebras
As a quantum affinization, the quantum toroidal algebra is defined in terms of its "left" and "right" halves, which both admit shuffle algebra presentations. In the present paper, we take an orthogonal viewpoint, and give shuffle algebra presentations for the "top" and "bottom" halves instead, starting from the evaluation representation of the quantum affine group and its usual R-matrix. An upshot of this construction is a new topological coproduct on the quantum toroidal algebra which extends …

The Evenki accounts of the 1908 Tunguska event collected in 1920s-1930s
Andrei Ol'khovatov
https://arxiv.org/abs/2402.10900 https://

The Evenki accounts of the 1908 Tunguska event collected in 1920s-1930s
This paper is a continuation of a series of works, devoted to various aspects of the 1908 Tunguska event. It is devoted to the Evenki accounts of the 1908 Tunguska event collected in 1920s - 1930s. It is important to research accounts of Evenki who were rather close to the epicenter. The Evenki accounts are important also, because Evenki are natural hunters and pathfinders - their lives depend on their memory and vision. Most of the reviewed in this work accounts were collected at the Evenki co…

D39,643 - issued in 1908 for a design for a "glass vessel." #DesignPatents

In preparation for the weekend, here's a photo for one of my fav hashtags from the old place.
John Boyd, Snowy Owl with Dog and Cat (Nov. 17, 1908)
Source: http://central.bac-lac.gc.ca/.redirect?app=fonandcol&id=3359112&lang=eng…

This https://arxiv.org/abs/1908.00379 has been replaced.
link: https://scholar.google.com/scholar?q=a

Outstanding: A Multi-Perspective Travel Approach for Virtual Reality Games
In virtual reality games, players dive into fictional environments and can experience a compelling and immersive world. State-of-the-art VR systems allow for natural and intuitive navigation through physical walking. However, the tracking space is still limited, and viable alternatives are required to reach further virtual destinations. Our work focuses on the exploration of vast open worlds - an area where existing local navigation approaches such as the arc-based teleport are not ideally suit…

Free agent fallout: Look who's leaving the NFC East https://www.yardbarker.com/nfl/articles/free_agent_fallout_look_whos_leaving_the_nfc_east/s1_13132_40110990

Free agent fallout: Look who's leaving the NFC East
In the approximate words of legendary sports writer Grantland Rice, “It’s not whether you win or lose, but how you play the game.” He obviously knew nothing about NFL free agency. To be fair, the NFL didn’t exist in 1908 when Rice wrote those words in a poem called, “Alumnus Football” and free agency wouldn’t begin until 1993. These days, losing talented players can make or break an NFL franchise. Here’s a look at players leaving their NFC East teams: Dallas Cowboys Key losses: …

This https://arxiv.org/abs/2311.03743 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A general framework for the analytic Langlands correspondence
We discuss a general framework for the analytic Langlands correspondence over an arbitrary local field F introduced and studied in our works arXiv:1908.09677, arXiv:2103.01509 and arXiv:2106.05243, in particular including non-split and twisted settings. Then we specialize to the archimedean cases (F=C and F=R) and give a (mostly conjectural) description of the spectrum of the Hecke operators in various cases in terms of opers satisfying suitable reality conditions, as predicted in part in arXiv…

A Geometrical Analysis of Kernel Ridge Regression and its Applications
Georgios Gavrilopoulos, Guillaume Lecu\'e, Zong Shang
https://arxiv.org/abs/2404.07709

A Geometrical Analysis of Kernel Ridge Regression and its Applications
We obtain upper bounds for the estimation error of Kernel Ridge Regression (KRR) for all non-negative regularization parameters, offering a geometric perspective on various phenomena in KRR. As applications: 1. We address the multiple descent problem, unifying the proofs of arxiv:1908.10292 and arxiv:1904.12191 for polynomial kernels and we establish multiple descent for the upper bound of estimation error of KRR under sub-Gaussian design and non-asymptotic regimes. 2. For a sub-Gaussian design…