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A significant number of enemy personnel in shelters and forest belts were also eliminated.

Additionally, thanks to precise strikes, the regiment's warriors destroyed several field ammunition depots that the enemy had been accumulating for a long time.

Thanks to the comprehensive use of aerial reconnaissance and strike unmanned systems, #K_2 operators significantly reduced the enemy's offensive potential in the designated front-line sector.

๐Ÿ‡บ๐Ÿ‡ฆ #USS: One step ahead!

From https://t.me/usf_army

At one of the active front-line sectors, operators of the #20th Separate #K_2 Regiment of the Unmanned Systems Forces disrupted the enemy's preparation for offensive actions.

In coordination with aerial reconnaissance, which maintains constant control over the line of combat contact, strike #UAV pilots inflicted targeted damage on vehicles used by the occupiers to move reserves from rear areas.

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Unknotting number is not additive under connected sum

Mark Brittenham, Susan Hermiller
https://arxiv.org/abs/2506.24088 https://arxiv.org/pdf/2506.24088 https://arxiv.org/html/2506.24088

arXiv:2506.24088v1 Announce Type: new
Abstract: We give the first examples of a pair of knots $K_1$,$K_2$ in the 3-sphere for which their unknotting numbers satisfy $u(K_1\#K_2)<u(K_1)+u(K_2)$ . This answers question 1.69(B) from Kirby's problem list, "Problems in low-dimensional topology", in the negative.

toXiv_bot_toot

Unknotting number is not additive under connected sum

We give the first examples of a pair of knots $K_1$,$K_2$ in the 3-sphere for which their unknotting numbers satisfy $u(K_1\#K_2)<u(K_1)+u(K_2)$ . This answers question 1.69(B) from Kirby's problem list, "Problems in low-dimensional topology", in the negative.

arXiv.org
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