Tootfinder

All-Paid Team of Tomorrow: Lamar Jackson, Micah Parsons poised to reset market at respective positions https://www.nfl.com/news/all-paid-team-of-tomorrow-lamar-jackson-micah-parsons-poised-to-reset-market-at-r…

Some statistics about all robotic #LunarLanding attempts so far from 1965 to 2025 compiled from https://en.wikipedia.org/wiki/List_of_missions_to_the_Moon and https://scicomm.xyz/@AkaSci@fosstodon.org/114636519291241321 in which I only count those for which descent to the surface had been initiated, not missions lost at launch or on the way - in a nutshell ~70% of all landings by government agencies went well (essentially the same rate 60 years ago and now!) but only ~30% by private companies. Here goes ...
There have been two separate periods of soft lunar landing attempts of ca. a dozen years each, from 1965 to 1976 and 2013 to 2025 (ongoing) with a huge gap between them.
In the first interval there were 20 attempts with 13 successes (Luna 9, 13, 16, 17, 19, 20, 21 and 24 and Surveyor 1, 3, 5, 6 and 7), one partial success (Luna 23, counting as 50%) and 6 failures (Luna 5, 7, 8, 15 and 18 and Surveyor 4), so the success rate was 13.5/20 = 68 %. All missions were by - the Soviet and U.S. - governments.
In the second interval there were so far 14 attempts with 6 full successes (Chang'e-3, 4, 5 and 6, Vikram 2 and Blue Ghost), three partial successes (SLIM, IM-1 and 2, counting as 75%, 50% and 25%, respectively) and 5 failures (Beresheet, Vikram 1, Hakuto-R 1 and 2 and Luna 25) so the success rate was 7.5 / 14 = 54%.
But looking only at the government missions it was 72%, slighly up from 50 years ago. While for the commercial attempts it was only 29%. In total the success rate was 19 (18 government-run) missions out of 34 (28) attempts or 62% but 69% for governments only. And if you throw in the 6 Apollo landings, the total success rate rises to 68% and the government-only rate goes even up to 75%.

On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders
Hongmiao Yu
https://arxiv.org/abs/2506.05193

On the weak and strong Lefschetz properties for initial ideals of determinantal ideals with respect to diagonal monomial orders
We study the weak and strong Lefschetz properties for $R/\mathrm{in}(I_t)$, where $I_t$ is the ideal of a polynomial ring $R$ generated by the $t$-minors of an $m\times n$ matrix of indeterminates, and $\mathrm{in}(I_t)$ denotes the initial ideal of $I_t$ with respect to a diagonal monomial order. We show that when $I_t$ is generated by maximal minors (that is, $t=\mathrm{min}\{m,n\}$), the ring $R/\mathrm{in}(I_t)$ has the strong Lefschetz property for all $m$, $n$. In contrast, for $t<\mathrm…

Gordian split links in the Gehring ropelength problem
Friedrich Bauermeister
https://arxiv.org/abs/2506.04644 https://arxiv.org/pdf/2…

Gordian split links in the Gehring ropelength problem
A thick link is a link in Euclidean three-space such that each component of the link lies at distance at least 1 from every other component. Strengthening the notion of thickness, we define a thickly embedded link to be a thick link whose open radius-1/2 normal disk bundles of all components are embedded. The Gehring ropelength problem asks how large the sum of the lengths of the components of a thick (respectively thickly embedded) link must be, given the link homotopy (respectively isotopy) c…

faculty_hiring: Faculty hiring networks (Comp. Sci., Business, History)
Three networks of faculty hiring in Computer Science Departments, Business Schools, and History Departments. Each node is a PhD-granting institution in the respective field, and a directed edge (i,j) indicates that a person received their PhD from node i and was tenure-track faculty at node j during time of collection (2011-2013). All data collected from faculty public rosters at the sampled institutions.
Thi…

This https://arxiv.org/abs/2505.24195 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csHC_…

WikiGap: Promoting Epistemic Equity by Surfacing Knowledge Gaps Between English Wikipedia and other Language Editions
With more than 11 times as many pageviews as the next, English Wikipedia dominates global knowledge access relative to other language editions. Readers are prone to assuming English Wikipedia as a superset of all language editions, leading many to prefer it even when their primary language is not English. Other language editions, however, comprise complementary facts rooted in their respective cultures and media environments, which are marginalized in English Wikipedia. While Wikipedia's user i…

Happy Pride! Everyone deserves dignity and respect at every stage of their life - including end of life. Help your loved ones and community celebrate you properly and appropriately by doing all your advance planning now -just think of how hard you'll party when it's done 🎉🌈
Got questions? I'm here to help and I am an ally and safe space for everyone in the LGBTIQA community and the kink community.

This https://arxiv.org/abs/2504.08472 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Simultaneous Rational Number Codes: Decoding Beyond Half the Minimum Distance with Multiplicities and Bad Primes
In this paper, we extend the work of (Abbondati et al., 2024) on decoding simultaneous rational number codes by addressing two important scenarios: multiplicities and the presence of bad primes (divisors of denominators). First, we generalize previous results to multiplicity rational codes by considering modular reductions with respect to prime power moduli. Then, using hybrid analysis techniques, we extend our approach to vectors of fractions that may present bad primes. Our contributions incl…

On the analytical approach to infinite-mode Boson-Gaussian states
Jorge R. Bola\~nos-Serv\'in, Roberto Quezada, Josu\'e I. Rios-Cangas
https://arxiv.org/abs/2506.04537

On the analytical approach to infinite-mode Boson-Gaussian states
We develop an analytical approach to quantum Gaussian states in infinite-mode representation of the Canonical Commutation Relations (CCR's), using Yosida approximations to define integrability of possibly unbounded observables with respect to a state $ρ$ ($ρ$-integrability). It turns out that all elements of the commutative $*$-algebra generated by a possibly unbounded $ρ$-integrable observable $A$, denoted by $\langle A\rangle$, are normal and $ρ\, $-integrable. Besides, $\langle A\rangle$…

faculty_hiring: Faculty hiring networks (Comp. Sci., Business, History)
Three networks of faculty hiring in Computer Science Departments, Business Schools, and History Departments. Each node is a PhD-granting institution in the respective field, and a directed edge (i,j) indicates that a person received their PhD from node i and was tenure-track faculty at node j during time of collection (2011-2013). All data collected from faculty public rosters at the sampled institutions.
Thi…