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Extriangulated factorization systems, $s$-torsion pairs and recollements
Yan Xu, Haicheng Zhang, Zhiwei Zhu
https://arxiv.org/abs/2507.04220 https://

Extriangulated factorization systems, $s$-torsion pairs and recollements
We introduce extriangulated factorization systems in extriangulated categories and show that there exists a bijection between $s$-torsion pairs and extriangulated factorization systems. We also consider the gluing of $s$-torsion pairs and extriangulated factorization systems under recollements of extriangulated categories.

Hi, it's Representative Jasmine Crockett.
I really hope you read this -- not for me, but for my friend.
People are scared, frustrated & downright mad about all that is being taken away from us.
Some people are just sitting around and letting it happen,
but not Esther.
Esther Kim Varet is running to take back one of the most competitive congressional seats in the country -- from a MAGA Republican.
We need more people like her to provide REAL repre…

I'm with Esther Kim Varet
Show your support with a contribution.

Yes, of course the Texas flash floods disaster was fueled by man-made climate change. Duh.
And I'll predict the outcome of the attribution study too: "We conclude that it is extremely likely that the Texas flash floods were made significantly worse by climate change."
#extremeweather

Het NOS journaal: "deze overstromingen waren zo heftig dat ze ook zonder klimaatverandering waarschijnlijk tot een grote ramp hadden geleid".
Eh stop.
Wat zeggen jullie daar nou eigenlijk?
Ik kom er niet uit.
Klimaatverandering leidt tot heftigere overstromingen en extremere weersomstandigheden. Dat weet ik wel.
Maar deze waren zo extreem dat ze ... zonder klimaatverandering .... (veel) minder extreem waren geweest, toch? Een (veel) kleinere ramp?

Dialogue-Based Multi-Dimensional Relationship Extraction from Novels
Yuchen Yan, Hanjie Zhao, Senbin Zhu, Hongde Liu, Zhihong Zhang, Yuxiang Jia
https://arxiv.org/abs/2507.04852

Dialogue-Based Multi-Dimensional Relationship Extraction from Novels
Relation extraction is a crucial task in natural language processing, with broad applications in knowledge graph construction and literary analysis. However, the complex context and implicit expressions in novel texts pose significant challenges for automatic character relationship extraction. This study focuses on relation extraction in the novel domain and proposes a method based on Large Language Models (LLMs). By incorporating relationship dimension separation, dialogue data construction, a…

"The Seven Mountain Mandate calls on Christians to gain influence, or “take dominion,” over seven key areas of culture: religion, family, education, government, media, business and the arts."
**The Christian mandate that's fueling American political extremism** - Raw Story
https://www.rawstory.com/what-is-the-seven-mountains-mandate-and-how-is-it-linked-to-political-extremis/

dbpedia_all: DBpedia network (v3.6)
A network among all entries in DBpedia, a project that extracts structured information from Wikipedia. Nodes represent entities in DBpedia and an edge connects two entities based on DBpedia's notion of their relatedness. The data is extracted from the version 3.6 of the database.
This network has 3966924 nodes and 13820853 edges.
Tags: Informational, Relatedness, Unweighted, Multigraph

Up close, the aging visages of the moai are riddled with signs of erosion and staining.
They are gradually wearing away to dust.
Tuki, who works in Rapa Nui's tourism industry, is essentially watching these stunning figures slowly disappear.
"My father told me that the moai would go back into the ocean one day," she says.
Tuki's father, who died in 2020, was a famed contemporary moai sculptor.
The original statues, mostly carved between 110…

Is this the end for Easter Island's moai statues?
Easter Island's famous moai statues are crumbling into the sea, forcing locals to face urgent decisions about how best to protect their heritage.

All external power lines supplying electricity to the Russian-occupied Zaporizhzhia nuclear power plant in Ukraine were down for several hours on Friday, the UN nuclear watchdog said
International Atomic Energy Agency (IAEA) chief Rafael Grossi acknowledged that power had been restored after 3½ hours
but added on X that nuclear safety “remains extremely precarious in Ukraine”.
The Ukrainian energy minister blamed Russian shelling for severing the last power line to the…