A trough is a low turning point or a local minimum of a business cycle. The time evolution of many variables of economics exhibit a wave like behaviour with local maxima (peaks) followed by local minima (troughs). A business cycle may be defined as the period between two consecutive peaks.
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The Dowding System, Britain's highly successful and complex air defense network, relied heavily on radar. This technique allowed the Royal Air Force (RAF) Fighter Command to respond to oncoming German attacks and make the most use of its limited resources of pilots and aircraft.