Tootfinder

Linear programming bounds in homogeneous spaces, I: Optimal packing density
Maximilian Wackenhuth
https://arxiv.org/abs/2505.23572 https://

Linear programming bounds in homogeneous spaces, I: Optimal packing density
In this article we obtain linear programming bounds for the maximal sphere packing density of commutative spaces. A special case of our results solves a conjecture by Cohn and Zhao on linear programming bounds for sphere packings in hyperbolic space.

I believe this is the first coverage to acknowledge that Lurie’s budget seems to treat a “temporary” new jail as permanent
“representatives from the People’s Budget Coalition lined the second and third floor balconies of City Hall’s rotunda. They held yellow posters reading ‘No new jail! No cuts!’ referring to the continued funding for the jail annex in San Bruno.”

Hundreds protest S.F. budget cuts, packing City Hall chambers
Protesters unfurled banners in the San Francisco City Hall rotunda reading "Stop cuts" that were quickly taken down by sheriff's deputies.

I am officially "homeless"... Had to sell my apartment because of runaway cost increases, and today the new owner officially took it over. Currently living partly in a borrowed house, and partially couch surfing, while trying to find out what to do next... I am strongly considering just packing up everything and moving to South America. Brazil is nice, and so is the Caribbean...

Atomic Density Distributions in Proteins: Structural and Functional Implications
Sotirios Touliopoulos, Nicholas M. Glykos
https://arxiv.org/abs/2505.18566

Atomic Density Distributions in Proteins: Structural and Functional Implications
Atomic packing is an important metric for characterizing protein structures, as it significantly influences various features including the stability, the rate of evolution and the functional roles of proteins. Packing in protein structures is a measure of the overall proximity between the proteins' atoms and it can vary notably among different structures. However, even single domain proteins do not exhibit uniform packing throughout their structure. Many different methods have been used to me…

You know that thing we hear from Americans all the time?
"If Bush gets elected again, I'm leaving the USA."
"If Obama doesn't win, I'm moving to Canada."
"If Trump wins, I need an exit plan."
Well, this time it's actually happening. Not just words, but I personally know several people who are not just threatening to leave the United States, but they actually have a plan and are literally in the middle of packing and shipping…

This https://arxiv.org/abs/2503.18782 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Adhesion differentials control the rheology of biomimetic emulsions
Animal morphogenesis involves complex tissue deformation processes, which require tight control over tissue rheology. Yet, it remains insufficiently understood how tissue rheology results from the interplay between cellular packing and cellular forces, such as cortical tension, cell pressure, and cell-cell adhesion. Here, we follow a biomimetic approach to study this interplay, focusing on the cellular adhesion hierarchy. We mimic adhesive cells with oil droplets whose adhesion strength and spe…

Packed up my XBOX and large TV in the basement today :-(
I don't play video games every day, but 2 or 3 days a week, my daughter, who lives in Toronto, and I will play Halo online and defend the universe from Covenant forces. It's now 22 days until the moving trucks arrive, and planning for activities each day is underway. We have to allocate time for yard maintenance, packing, and cleaning. Accompanying music choices are important...
#MyPlaylist #RandomTune
https://youtu.be/t267aQJcwjs?si=jb8_X470NFFXY6Yp

A Hierarchical Bin Packing Framework with Dual Manipulators via Heuristic Search and Deep Reinforcement Learning
Beomjoon Lee, Changjoo Nam
https://arxiv.org/abs/2506.01628

A Hierarchical Bin Packing Framework with Dual Manipulators via Heuristic Search and Deep Reinforcement Learning
We address the bin packing problem (BPP), which aims to maximize bin utilization when packing a variety of items. The offline problem, where the complete information about the item set and their sizes is known in advance, is proven to be NP-hard. The semi-online and online variants are even more challenging, as full information about incoming items is unavailable. While existing methods have tackled both 2D and 3D BPPs, the 2D BPP remains underexplored in terms of fully maximizing utilization. …

Green Scheduling with Time-of-Use Tariffs and Machine States: Optimizing Energy Cost via Branch-and-Bound and Bin Packing Strategies
Ond\v{r}ej Benedikt, Istv\'an M\'odos, Antonin Novak, Zden\v{e}k Hanz\'alek
https://arxiv.org/abs/2506.10405

Green Scheduling with Time-of-Use Tariffs and Machine States: Optimizing Energy Cost via Branch-and-Bound and Bin Packing Strategies
This paper presents a branch-and-bound algorithm, enhanced with bin packing strategies, for scheduling under variable energy pricing and power-saving states. The proposed algorithm addresses the 1,TOU|states|TEC problem, which involves scheduling jobs to minimize total energy cost (TEC) while considering time-of-use (TOU) electricity prices and different machine states (e.g., processing, idle, off). Key innovations include instance pre-processing for rapid lower bound calculations, a …

Cowboys 53-man pre-training camp projection: Does Diggs make it? 2nd rounder cut? https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/06/23/cowboys-53-man-pre-training-camp-projec…

Replaced article(s) found for math.CA. https://arxiv.org/list/math.CA/new
[1/1]:
- On the Packing Functions of some Linear Sets of Lebesgue Measure Zero
Austin Anderson, Steven Damelin

Packing tetrahedrons in edge-weighted graphs
Wanting Sun, Shunan Wei, Donglei Yang
https://arxiv.org/abs/2506.07147 https://arxiv.org…

Packing tetrahedrons in edge-weighted graphs
We prove that for all $μ>0, t\in (0,1)$ and sufficiently large $n\in 4\mathbb{N}$, if $G$ is an edge-weighted complete graph on $n$ vertices with a weight function $w: E(G)\rightarrow [0,1]$ and the minimum weighted degree $δ^w(G)\geq (\tfrac{1+3t}{4}+μ)n$, then $G$ contains a $K_4$-factor where each copy of $K_4$ has total weight more than $6t$. This confirms a conjecture of Balogh--Kemkes--Lee--Young for the tetrahedron case.

GlobalFoundries plans to spend $16B to boost domestic chip production, including $13B for its New York and Vermont plants and $3B for advanced packing research (Ian King/Bloomberg)
https://www.bloomberg.com/news/articles/20

I merely remark that a form of littering - that of wrapping single sided packing tape or double sided carpet tape between lamp posts on a street (or across a street), with a small notch cut onto the edge of the tape every six feet, can be a useful non-lethal way to slow the advance of a phalanx of people of troops.
Yes, your fingerprints will stick to the tape and do anticipate being beaten and arrested.

On the convergence of computational methods for the online bin stretching problem
Antoine Lhomme, Nicolas Catusse, Nadia Brauner
https://arxiv.org/abs/2506.17271

On the convergence of computational methods for the online bin stretching problem
Online bin stretching is an online packing problem where some of the best known lower and upper bounds were found through computational searches. The limiting factor in obtaining better bounds with such methods is the computational time allowed. However, there is still no theoretical guarantee that such methods do converge towards the optimal online performance. This paper shows that such methods do, in fact, converge; moreover, bounds on the gap to the optimal are also given. These results fra…

Packing3D: An Open-Source Analytical Framework for Computing Packing Density and Mixing Indices Using Partial Spherical Volumes
Freddie Barter, Christopher R. K. Windows-Yule
https://arxiv.org/abs/2506.08852

Packing3D: An Open-Source Analytical Framework for Computing Packing Density and Mixing Indices Using Partial Spherical Volumes
Accurate quantification of local packing density and mixing in simulations of particulate systems is essential for many industrial applications. Traditional methods which simply count the number of particle centres within a given volume of space (cell) introduce discontinuities at cell boundaries, leading to unreliable measurement of packing density. We introduce Packing3D.jl, an open-source Julia package providing analytic, partial-volume calculations for spheres intersecting Cartesian and cyl…

🧳 The road to #TNC25 is full of stories, and we’d love to see yours!
Whether you’re packing adapters and umbrellas, picking the perfect snack, digging out those running shoes for Tuesday’s TNC morning run, or literally running for the train—show us what your journey looks like.
Post with #Road2TNC

I would be a bigger fan of #OptumRX if they didn’t:
1. Stall every order of 1 of Kyle's seizure meds because it is so expensive & refuse to accept that yes, we’ll ALWAYS want it at ANY PRICE.
2. Pack all 9 bottles of said order into a small box that will not admit the inclusion of packing materials & so make it very likely that less than 3 actually arrive intact, and those h…

It is hard to imagine having five, six, even seven hours of sleep. Midnight to about 7. Getting up, getting ready, packing up. And for today, there's only just a bit over 4 hours left.

Replaced article(s) found for cs.DM. https://arxiv.org/list/cs.DM/new/
[1/1]:
The Packing Chromatic Number of the Infinite Square Grid is 15
https:/…

A defense trick:
If you are in a crowd of advancing ICE or maga-cops you can drop strips of packing tape (the two or three inch wide clear stuff available at any drug or stationary store) or carpet tape (double sided super strong adhesive) in their path. It can really entangle an advancing phalanx.
(This trick can bounce back onto those who deploy it. It may be useful to tack one or both ends of the tape to the ground to prevent it from blowing back and entangling you, or if yo…

Contact temporal network during motility induced phase separation
Italo Salas, Francisca Guzm\'an-Lastra, Denisse Past\'en, Ariel Norambuena
https://arxiv.org/abs/2506.08642

Contact temporal network during motility induced phase separation
Motility-induced phase separation (MIPS) is a paradigmatic non-equilibrium transition in active matter, determined by the Péclet number and packing fraction. We investigate the single-phase and phase-separated regimes of MIPS using a complex network approach, where networks are constructed from particle interactions over finite time windows. In the single-phase (gas-like) regime, the degree distributions $P(k)$ exhibit Gaussian behavior and resemble those of random graphs. Plotting the locatio…

Good Morning #Canada
Today is "taking a break from packing up the house and going golfing day." Did you know there are over 2,200 golf facilities in Canada, with 90% of those being public. That means golf remains accessible and it's becoming less expensive to get started with lower cost starter sets and growth in the used club marketplace. Here are the top 50 public and private courses as ranked by Canadian PGA members.
#CanadaIsAwesome #Golf
https://golftalkcanada.com/pga-of-canada-top-100/

This https://arxiv.org/abs/2407.01101 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Packing Density of Sets With Only Two Nonmixed Gaps
For a finite set of integers such that the first few gaps between its consecutive elements equal $a$, while the remaining gaps equal $b$, we study dense packings of its translates on the line. We obtain an explicit lower bound on the corresponding optimal density, conjecture its tightness, and prove it in case one of the gap lengths, $a$ or $b$, appears only once. This is equivalent to a Motzkin problem on the independence ratio of certain integer distance graphs.

The Stress-Force-Fabric relation across shear bands
Carmen Lee, \'Emilien Az\'ema, Karen Daniels
https://arxiv.org/abs/2506.09741 https://

The Stress-Force-Fabric relation across shear bands
The strength of granular materials is highly dependent on grain connectivity (fabric), force transmission, and frictional mobilization at the particle scale. Furthermore, these bulk properties are strongly dependent on the geometry and history of loading. It is well established that anisotropy in fabric and force transmission through a granular packing directly relates to the bulk scale strength of the packing via the Stress-Force-Fabric (SFF) relation. We have recently verified the validity of…

Effective Versions of Strong Measure Zero
Matthew Rayman
#toXiv_bot_toot

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n-$space
Arnasli Yahya, Jen\H{o} Szirmai
https://arxiv.org/abs/2506.11682

Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n-$space
In this paper, we study the problem of hyperball (hypersphere) packings in $n$-dimensional hyperbolic space ($n \ge 4$). We prove that to each $n$-dimensional congruent saturated hyperball packing, there is an algorithm to obtain a decomposition of $n$-dimensional hyperbolic space $\mathbb{H}^n$ into truncated simplices. We prove, using the above method and the results of the paper \cite{M94}, that the upper bound of the density for saturated congruent hyperball packings, related to the corresp…

Asymptotic analysis of high-dimensional uniformity tests under heavy-tailed alternatives
Tiefeng Jiang, Tuan Pham
https://arxiv.org/abs/2506.00393 https://…

Asymptotic analysis of high-dimensional uniformity tests under heavy-tailed alternatives
We study the high-dimensional uniformity testing problem, which involves testing whether the underlying distribution is the uniform distribution, given $n$ data points on the $p$-dimensional unit hypersphere. While this problem has been extensively studied in scenarios with fixed $p$, only three testing procedures are known in high-dimensional settings: the Rayleigh test \cite{Cutting-P-V}, the Bingham test \cite{Cutting-P-V2}, and the packing test \cite{Jiang13}. Most existing research focuses…