arch

An arch is a curved structure that spans a space and may or may not support weight above it. Arch may be synonymous with vault, but a vault may be distinguished as a continuous arch forming a roof. Arches appeared as early as the 2nd millennium BC in Mesopotamian brick architecture, and their systematic use started with the Ancient Romans who were the first to apply the technique to a wide range of structures.

ARCH+ is a quarterly German magazine for architecture, urbanism, and design that was established in 1967. The magazine has been praised by a number of different architects and publications.

In econometrics, autoregressive conditional heteroskedasticity (ARCH) models are used to characterize and model time series. They are used at any point in a series, the error terms are thought to have a characteristic size or variance. In particular ARCH models assume the variance of the current error term or innovation to be a function of the actual sizes of the previous time periods' error terms: often the variance is related to the squares of the previous innovations.