Disclosed are an electrolyte for lithium secondary batteries including 10 wt % to 90 wt % of an ester based solvent and 10 wt % to 90 wt % of a carbonate based solvent with respect to the total weight of a non-aqueous solvent, and a lithium secondary battery including the same. The CTP service is implemented by the CTP program, which resides on a host in a data communications network between an end user and a content server that the client is attempting to access. The adapter is of one-piece construction and includes a socket engaging the pivot nut and a shaft extending into the internal sleeve. The method further includes determining a number of valid subunits m to be relocated from the units selected for a batch operation where m is at least 2.