Abstract: Compositions and methods for rapid and efficient Toehold mediated strand displacement (TMSD) reactions are disclosed.

Abstract: Disclosed herein is an oral care composition comprising at least one abrasive and a charcoal agent, wherein the charcoal agent is present in an amount ranging from about 0.02% to about 4% by weight based on the total weight of the oral care composition. Further disclosed herein are methods of making an oral care composition comprising at least one abrasive and at least one charcoal agent wherein the charcoal agent is present in an amount ranging from about 0.02% to about 4% by weight based on the total weight of the oral care composition, as well as methods of whitening teeth and/or cleaning the teeth comprising contacting the teeth with an oral care composition as disclosed herein.

Abstract: A computer software language capable of expressing registered queries that operate on one more or more data streams continuously. The language of the present invention is based on a publish/subscribe model in that queries subscribe to data streams and publish to data streams. Also, the language of the present invention can express queries that operate directly on data streams. Since queries expressed in the language of the present invention may be executed continuously and directly on data streams, the language includes a clause for specifying time-based and/or row-based windows for the input data stream. Operations are then performed on the data within such windows. In one embodiment, the language is also SQL-like and includes a clause for defining named windows (which can be used in any number of queries); a clause for detecting a pattern, and correlated database subqueries for correlating data stream data with database tables.

Abstract: A Continuous Query Processor processes queries on continuously updating data sources or data streams and includes a Publication Manager for accepting published structured elements of data from data stream Publishers, a Subscription Manager for giving structured elements of data to one or more data stream Subscribers, a Query Module Manager for processing queries represented by Query Modules, a Query Module Store for maintaining deployed Query Modules, a Query Primitive Manager performing processing for various primitives that comprise a Query Module, and a Schedule Manager for coordinating when a primitive within a Query Module gets processed in order to maintain that each continuous query is continuously updated immediately upon the arrival of structured element data affecting any part of a continuous query.