On triangulations of the plane by pencils of conics

Abstract

The semiconductor device field is reviewed with the aim of illustrating the main trends. The most striking are the emergence of silicon as the dominant material and the pressure to refine its technology to an unprecedented extent, mainly as a result of its use in integrated circuits. This is supported by research into improved fabrication techniques and efforts to obtain a clearer understanding of device behaviour. In addition there is active interest in novel devices, many of which require more unusual semiconductor materials, and the over-all trend is a rapidly increasing penetration of semiconductor devices into the electronics industry.

О Новых Конструкциях В Проблеме Бляшке - Бола

“…4 и теорему Брианшона, сформулированную выше. Отметим, что гексаго-нальную 3-ткань из окружностей можно определить сразу, не определяя ткань из дуг окружностей (см., например, [7]). Однако определение ткани из дуг окружностей нам также будет полезно; см.…”

“…В течение многих десятилетий не было новых примеров гексагональных 3-тканей из дуг окружностей, за исклю-чением нескольких тканей, образованных пучками окружностей, найденных В. Б. Лазаревой, Р. С. Балабановой и Х. Эрдоганом (см. [7]). Недавно в рабо-те В. Б. Лазаревой и А. М. Шелехова [7] была получена классификация всех гексагональных 3-тканей, образованных пучками окружностей.…”

“…[7]). Недавно в рабо-те В. Б. Лазаревой и А. М. Шелехова [7] была получена классификация всех гексагональных 3-тканей, образованных пучками окружностей.…”

On triangulations of the plane by pencils of conics. II

“…Hence, such figures are also closed on any web that is equivalent to a parallel web. Such webs are called regular or parallelizable (and also hexagonal) on account of the following theorem of Thomsen: if on some three-web all the hexagonal figures are closed, then this web is regular, see [1], [2]. This gives grounds for saying that a regular three-web triangulates its domain of definition.…”

“…In general, such webs are not regular. In [1], [6] the authors solved Blaschke's problem of describing all projectively distinct regular circle three-webs. In the present paper, we extend Blaschke's problem by considering a certain class of regular three-webs formed by pencils of conics (second order curves).…”