Abstract: A synchronous dynamic random access memory (SDRAM) semiconductor device which uses a command cancel function to improve reliability and speed of a memory system. The CC function takes advantage of the intrinsic delays associated with memory read operations at high clock frequencies, and the increased write latency commensurate with increased read latencies where non-zero latencies for read and write operations are the norm by permitting address and command ECC structures to operate in parallel with the address and command re-drive circuits. The CC function is extendable to future DDR2 and DDR3 operating requirements in which latency of higher frequency modes will increase due to a shift from 2 bit pre-fetch to 4 and 8 bit pre-fetch architecture.

Abstract: A cutting method using a vibratory cutting tool enables efficient creation of chips by breaking or separating of chips, and can retard both a deterioration of machined surface roughness of a workpiece and an increase in cutting resistance. The vibration of the cutting tool is controlled so that the following expressions are satisfied when letting a period of rotation of a workpiece be T, a period of vibration of the cutting tool be t.sub.total, the time required for the cutting edge to move from a farthest position in the feed direction to a farthest position in the direction opposite to the feed direction be t.sub.d, and the time required for moving from the farthest position in the direction opposite to the feed direction to a next farthest position in the feed direction be t.sub.u in the period of vibration of the cutting edge: T.apprxeq.t.sub.total .times.n+t.sub.d, where n is 0 or a positive integer; and t.sub.d .noteq.t.sub.u.