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continuous-time and discrete-time state ag-  cross over another strip. Air bridges are also
                              gregation is obtained by linear transforma-  used to suspend metalization in spiral induc-
                              tion of the original state represented by an  tors off of the semi-conducting substrate in a
                              aggregation matrix G endowed with the fol-  way that can lead to improved performance
                              lowing properties:                     in some cases.

                                        ∗          ∗    0   ∗
                                 GA = A G; GB = B ; CG = C ;         air capacitor  a fixed or variable capacitor
                                                                     in which air is the dielectric material between
                              where A, B, C are original system matrices  the capacitor’s plates.
                              (respectively state, input, and output ones)
                                          ∗
                              and A ,B ,C are aggregated system ma-  air circuit breaker   a power circuit
                                   ∗
                                      ∗
                              trices. The aggregation is an eigenvalues-  breaker where the power contacts operate in
                              preservation approach and it provides order  air. Some versions employ an air blast to
                              reduction by neglecting some of the system  extend and clear the arc on contact opening,
                              modes.                                 while others employ arc chutes with mag-
                                For uncertainties, the aggregation defines  netic or thermal assists.
                              some deterministic measures for a set of un-
                              certain variables. For stochastic model of  air core transformer  two or more coils
                              uncertainty the aggregation may be given by  placed so that they are linked by the same flux
                              meanvalue, higherstochasticmodelsorother  with an air core. With an air core the flux is
                              statistical characteristics, while set member-  not confined.
                              ship uncertainties could be aggregated by
                              their maximal or minimal values, mass center  air gap  See magnetic recording air gap.
                              of the set or higher inertial moments.
                                                                     air ionization chamber  a device used to
                              AGI    See address generation interlock.  monitor neutron flux.

                              Aiken, Howard Hathaway   (1900–1973)   air line  a coaxial transmission line in
                              Born: Hoboken, New Jersey, U.S.A.      which the volume between the inner and
                                Aiken is best known as the inventor of  outer conductors are air-filled.
                              the Mark I and Mark II computers. While
                              not commercially successful, these machines  air terminal  a lightning rod; any device
                              were significant in the development of the  which extends upward into the air from a
                              modern computer. The Mark I was essen-  structureforpurposesoflightningprotection.
                              tially a mechanical computer. The Mark II
                              was an electronic computer. Unlike UNI-  air-blast circuit breaker  a circuit breaker
                              VAC ( See Eckert, John Presper) these ma-  in which the arc which forms between the
                              chines had a stored memory. Aiken was a  contacts on opening is extinguished with a
                              professor of mathematics at Harvard. He was  blast of high-pressure air.
                              given the assignment to develop these com-
                              puters by the Navy department. Among his  air-gap line  the line that is obtained by
                              colleagues in this project were three IBM sci-  continuing the linear portion of the saturation
                              entists and Grace Hopper. It was while work-  curve of a synchronous machine or a DC ma-
                              ing on the Mark I that Grace Hopper pulled  chine. The figure shows a plot of generated
                              the first “bug” from a computer.        voltage vs. field current at constant machine
                                                                     speed. Initially, an increase in field current
                              air bridge  a bridge made of metal strip  yields a linear increase in the generated volt-
                              suspendedinairthatcanconnectcomponents  age, but as the iron becomes saturated, the
                              on an integrated circuit in such a way as to  voltage rolls off. The air-gap line gives the



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