History of Belgium History of Belgium The history of Belgium extends before the founding of the modern state of that name in 1830. Belgium's history is therefore intertwined with those of its neighbours: the Netherlands, Germany, France and Luxembourg. For most of its history, what is now Belgium was either a part of a larger territory, such as the Carolingian Empire, or divided into a number of smaller states, prominent among them being the Duchy of Brabant, the County of Flanders, the Prince-Bishopric of Liège and County of Luxembourg. Due to its strategic location and the many armies fighting on its soil, since
Phase-locked loop ranges between initial and final phase deviation is larger than formula_13, we say that cycle slipping takes place. Here, sometimes, the limit of the difference or the maximum of the difference is considered Definition of lock-in range. If the loop is in a locked state, then after an abrupt change of formula_15 free within a lock-in range formula_16, the PLL acquires lock without cycle slipping. Here formula_17 is called lock-in frequency. Phase-locked loop ranges The terms hold-in range, pull-in range (acquisition range), and lock-in range are widely used by engineers for the concepts of frequency deviation ranges within which phase-locked loop-based