Abstract: A recommendation system includes an input module, an input process in module, a selection module, a recommendation module, a trade module, a trade selection module, and a user return module. The system receives user input form a user interface and determines a requested option and security. A recommendation module compares the requested security to a recommendation database of all user and all securities of the enterprise purchased by all the users of the enterprise using a pair of smaller databases derived from the database. The recommended securities are returned to a trade module that receives the recommended securities and a list of option trades available based on the recommended securities and the option trades. The user interface presents the option trades to the user for selection and execution.

Abstract: A device includes a processor and a memory that stores predetermined data including a progressive transition rule and animation models. Each of the animation models corresponds to a respective phoneme. The memory stores instructions including receiving a request from a user and obtaining an answer to the request. The answer includes first and second indicators that correspond to first and second phonemes. The instructions include, according to the first indicator, identifying a first animation model that corresponds to the first phoneme. The instructions include, according to the second indicator, identifying a second animation model that corresponds to the second phoneme. The instructions include generating a transition animation model according to the progressive transition rule using the first and second animation models. The instructions include generating images according to the first, second, and transition animation models. The instructions include outputting the images to the user via a display.

Abstract: A device includes a processor and a memory that stores predetermined data including a progressive transition rule and animation models. Each of the animation models corresponds to a respective phoneme. The memory stores instructions including receiving a request from a user and obtaining an answer to the request. The answer includes first and second indicators that correspond to first and second phonemes. The instructions include, according to the first indicator, identifying a first animation model that corresponds to the first phoneme. The instructions include, according to the second indicator, identifying a second animation model that corresponds to the second phoneme. The instructions include generating a transition animation model according to the progressive transition rule using the first and second animation models. The instructions include generating images according to the first, second, and transition animation models. The instructions include outputting the images to the user via a display.

Abstract: A method for real-time lip synchronization is provided. The method transmits, by one or more processing devices, a requested document comprising embedded instructions to a client device. The one or more processing devices generate a plurality of phonemes responsive to an additional request from the client device. The one or more processing devices transmit the plurality of phonemes to the client device responsive to the additional request. The embedded instructions direct the client device to generate animation models and transition models based on the plurality of phonemes.