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@blakes7bot@mas.torpidity.net
2025-05-31 15:10:09

Series D, Episode 05 - Animals
DAYNA: Set.
TARRANT: Good luck.
[Dayna teleports to the surface of Bucol Two. Looks around]
DAYNA: [Into bracelet] Scorpio. Down safe.
TARRANT: [Voice over] Right, standing by. Let me know when you make contact.
blake.torpidity.net/m/405/3

Claude Sonnet 4.0 describes the image as: "I can see this is a scene from a science fiction television series showing someone in what appears to be a spacecraft or futuristic setting. The person is seated in a high-backed chair with a textured, quilted pattern typical of sci-fi production design from this era. They're wearing a distinctive costume - a form-fitting outfit with white, dark, and teal/green colored panels that has a futuristic, military-style appearance with clean lines and geometr…

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

@blakes7bot@mas.torpidity.net
2025-05-31 15:10:09

Series D, Episode 05 - Animals
DAYNA: Set.
TARRANT: Good luck.
[Dayna teleports to the surface of Bucol Two. Looks around]
DAYNA: [Into bracelet] Scorpio. Down safe.
TARRANT: [Voice over] Right, standing by. Let me know when you make contact.
blake.torpidity.net/m/405/3

Claude Sonnet 4.0 describes the image as: "I can see this is a scene from a science fiction television series showing someone in what appears to be a spacecraft or futuristic setting. The person is seated in a high-backed chair with a textured, quilted pattern typical of sci-fi production design from this era. They're wearing a distinctive costume - a form-fitting outfit with white, dark, and teal/green colored panels that has a futuristic, military-style appearance with clean lines and geometr…

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

@arXiv_mathSP_bot@mastoxiv.page
2025-05-29 07:27:49

P\'{o}lya's conjecture for Dirichlet eigenvalues of annuli
Nikolay Filonov, Michael Levitin, Iosif Polterovich, David A. Sher
arxiv.org/abs/2505.21737

Pólya's conjecture for Dirichlet eigenvalues of annuli
We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques, and a rigorous computer-assisted analysis. As a by-product, we also derive a two-term upper bound for the Dirichlet eigenvalue counting function of the disk, improving upon Pólya's original estima…