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In a fluid-pressure operated anti-skid braking system operation of a brake applying relay valve is controlled by application pressure in an application chamber. A memory chamber is connected to the application chamber through a one-way valve and a restrictor permits pressure in the memory chamber to decay into the application chamber when the pressure in the application chamber reduces at a skid point. Application pressure is supplied to the application chamber through a normally open latch valve. Re-application of the brakes following a skid is controlled by closure of the latch valve which permits only a restricted flow of application pressure into the application chamber. This is sufficient to re-apply the brakes rapidly in a first stage until the pressure in the application chamber becomes equal to that of the decayed pressure in the memory chamber. Brake-application then continues at a slower rate in a second stage since the restricted flow of control pressure has also to increase the pressure in the memory chamber. This continues until the latch valve re-opens so that the brakes are re-applied in a third stage at an original application pressure.

Combinatorial aspects of the Ising model for ferromagnetism. II. An analogue to the Witt identity