Abstract: A cleaning apparatus including a vacuum cleaner and a docking station is provided. The cleaning apparatus includes a vacuum cleaner including a dust collecting chamber in which foreign substances are collected, and a docking station configured to be connected to the dust collecting chamber to remove the foreign substances collected in the dust collecting chamber. The dust collecting chamber is configured to collect foreign substances through centrifugation, and configured to be docked to the docking station, and the docking station includes a suction device configured to suction the foreign substances and air in the dust collecting chamber docked to the docking station.

Abstract: A computer system access in a database a first linear sequence table including a plurality of entries. A respective entry of the plurality of entries includes sequential state information for a respective user. The sequential state information for the respective entry identifies a respective preceding event associated with a respective preceding time and a respective subsequent event associated with a respective subsequent time that is subsequent to the respective preceding time. The computer system initiates aggregation of data in the first linear sequence table to obtain a quantity that corresponds to a number of entries that are associated with a particular preceding event and a particular subsequent event of preceding events and subsequent events of the plurality of entries.

Abstract: A computer system crawls a plurality of web pages; parses the crawled information into state events and determines causality between any two of the state events; and stores the state events and the causality in a database. The system receives a first request from a user to determine a path to a target state. The system obtains a current state of the user. The system determines one or more paths from the current state of the user to the target state based on the current state of the user and the state events and the causality, including identifying one or more recommended state events, each recommended state event having a causality value for the target state that satisfies first preselected causality criteria; and provides at least one path from the current state of the user to the target state.

Abstract: A computer system access in a database a first linear sequence table including a plurality of entries. A respective entry of the plurality of entries includes sequential state information for a respective user. The sequential state information for the respective entry identifies a respective preceding event associated with a respective preceding time and a respective subsequent event associated with a respective subsequent time that is subsequent to the respective preceding time. The computer system initiates aggregation of data in the first linear sequence table to obtain a quantity that corresponds to a number of entries that are associated with a particular preceding event and a particular subsequent event of preceding events and subsequent events of the plurality of entries.

Abstract: A computer system crawls a plurality of web pages; parses the crawled information into state events and determines causality between any two of the state events; and stores the state events and the causality in a database. The system receives a first request from a user to determine a path to a target state. The system obtains a current state of the user. The system determines one or more paths from the current state of the user to the target state based on the current state of the user and the state events and the causality, including identifying one or more recommended state events, each recommended state event having a causality value for the target state that satisfies first preselected causality criteria; and provides at least one path from the current state of the user to the target state.