A logic circuit in a system LSI is provided with a power switch so as to cut off the switch at the time of standby, reducing leakage current. In one aspect, a method for information recommendation uses correlated information combinations to improve recommendation accuracy. This may provide simple assembly of a ball joint including a ball socket and a ball. The 1-alkene is selected from the group consisting of 1-alkenes having from about 4 to about 8 carbon atoms; provided that, when the mixed alkene stream is a C4 stream, the isomerizationdistillation conditions comprise an amount of an extraction agent.