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September 11, 2026
How to Assess Students Knowledge in the Age of AI
A researcher at HSE University has proposed a flowchart to help lecturers decide how to assess students who use artificial intelligence. It shows where the use of AI should be restricted and where it can be incorporated into the learning process. The article has been published in IT Professional.
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On the number of regions and multiplicities of vertices in plane arrangements

Cornell University , 2012.
Shnurnikov I. N.
For arrangements of n pseudolines in the real projective plane let t_i denote the number of vertices incident to i lines. We obtain a linear on t_i inequality similar to the Hirzebruch one, but with an elementary proof. We construct lower bounds of the number of regions of the complement to the arrangement basing on t_i inequalities. These lower bounds could be used in problems, dealing with numbers of regions in the complement, as  N. Martinov had used.
Research target: Mathematics
Language: Russian
Full text
Text on another site
Keywords: arrangements of pseudolinesнаборы псевдопрямыхcomplex of intersectionsкомплекс пересечений
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