Luxembourg (Belgium) London dealing with the consequences of the Belgian Revolution of 1830, de facto in 1839, after William I, King of the Netherlands and Grand-Duke of Luxembourg, agreed to its decisions and thus the province was given to the newly created Kingdom of Belgium. Luxembourg province is divided into five administrative districts () containing a total of 44 municipalities (). Luxembourg (Belgium) Luxembourg (; ; ; ; ) is the southernmost province of Wallonia and of Belgium. It borders on (clockwise from the east) the country of Luxembourg, France, and the Belgian provinces of Namur and Liège. Its capital is Arlon
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