И если мы обведём маленькую (по сравнению с длиной рукояти) кривую, ограничивающую площадь S, то топор вернётся не в исходное положение, а повернётся на какой-то угол. И угол этого поворота примерно равен S/L^2, где L — длина топорища!
Image credit: Mark Levi and Serge Tabachnikov, On bicycle tire tracks geometry, hatchet planimeter, Menzin’s conjecture and oscillation of unicycle tracks, Experiment. Math.18:2 (2009), pp. 173-186; цветная версия иллюстрации из препринта: https://arxiv.org/abs/0801.4396 .
И если мы обведём маленькую (по сравнению с длиной рукояти) кривую, ограничивающую площадь S, то топор вернётся не в исходное положение, а повернётся на какой-то угол. И угол этого поворота примерно равен S/L^2, где L — длина топорища!
Image credit: Mark Levi and Serge Tabachnikov, On bicycle tire tracks geometry, hatchet planimeter, Menzin’s conjecture and oscillation of unicycle tracks, Experiment. Math.18:2 (2009), pp. 173-186; цветная версия иллюстрации из препринта: https://arxiv.org/abs/0801.4396 .
The news also helped traders look past another report showing decades-high inflation and shake off some of the volatility from recent sessions. The Bureau of Labor Statistics' February Consumer Price Index (CPI) this week showed another surge in prices even before Russia escalated its attacks in Ukraine. The headline CPI — soaring 7.9% over last year — underscored the sticky inflationary pressures reverberating across the U.S. economy, with everything from groceries to rents and airline fares getting more expensive for everyday consumers. For tech stocks, “the main thing is yields,” Essaye said. During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons. Stocks dropped on Friday afternoon, as gains made earlier in the day on hopes for diplomatic progress between Russia and Ukraine turned to losses. Technology stocks were hit particularly hard by higher bond yields. Now safely in France with his spouse and three of his children, Kliuchnikov scrolls through Telegram to learn about the devastation happening in his home country.
from nl
