Abstract: Architecture that performs incremental computing for web searches by employing methods at least for storing the results of repeat queries on unchanged webpages and for computing results for the repeated queries. The architecture includes one or more algorithms for pre-computing query results on index servers, for only selectively choosing index servers whose result for a query change for a query computation process, and for re-using the unchanged web pages stored in the cache and computing results upon changed index and unchanged index separately.

Abstract: Architecture that performs incremental computing for web searches by employing methods at least for storing the results of repeat queries on unchanged webpages and for computing results for the repeated queries. The architecture includes one or more algorithms for pre-computing query results on index servers, for only selectively choosing index servers whose result for a query change for a query computation process, and for re-using the unchanged web pages stored in the cache and computing results upon changed index and unchanged index separately.

Abstract: Systems and methods for an inductive powering surface for powering portable devices are described. In one aspect, a powering device includes the inductive powering surface. The inductive powering surface includes multiple primary coils, an impedance auto-match circuit and other control circuits. The impedance auto-match circuit selectively energizes the primary coils to transfer power via inductive coupling to the secondary coil(s) in a portable device. The impedance auto-match circuit is configured to detect voltage and current phase differences over caused by positioning of the portable device on the inductive powering surface. The impedance auto-match circuit calibrates a power factor of the inductive powering surface to transfer an objectively maximized power load via inductive coupling to the portable device.