На торе длина кратчайшей нестягиваемой геодезической оценивается сверху через корень из площади тора. >> In the early 80’s, Gromov formulated several remarkable metaphors connecting the systolic inequality to important ideas in other areas of geometry. With the help of these metaphors, he proved the systolic inequality... Each metaphor gives an approach to proving the systolic inequality - a way to get started.
The goal of this essay is to explain Gromov’s metaphors... Gromov’s metaphors connect the systolic problem to the following areas:
1. General isoperimetric inequalities from geometric measure theory. (Work of Federer-Fleming, Michael-Simon, Almgren. Late 50’s to mid 80’s.)
На торе длина кратчайшей нестягиваемой геодезической оценивается сверху через корень из площади тора. >> In the early 80’s, Gromov formulated several remarkable metaphors connecting the systolic inequality to important ideas in other areas of geometry. With the help of these metaphors, he proved the systolic inequality... Each metaphor gives an approach to proving the systolic inequality - a way to get started.
The goal of this essay is to explain Gromov’s metaphors... Gromov’s metaphors connect the systolic problem to the following areas:
1. General isoperimetric inequalities from geometric measure theory. (Work of Federer-Fleming, Michael-Simon, Almgren. Late 50’s to mid 80’s.)
False news often spreads via public groups, or chats, with potentially fatal effects. The last couple days have exemplified that uncertainty. On Thursday, news emerged that talks in Turkey between the Russia and Ukraine yielded no positive result. But on Friday, Reuters reported that Russian President Vladimir Putin said there had been some “positive shifts” in talks between the two sides. The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981. As such, the SC would like to remind investors to always exercise caution when evaluating investment opportunities, especially those promising unrealistically high returns with little or no risk. Investors should also never deposit money into someone’s personal bank account if instructed. In view of this, the regulator has cautioned investors not to rely on such investment tips / advice received through social media platforms. It has also said investors should exercise utmost caution while taking investment decisions while dealing in the securities market.
from ms
