Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for encoding time interval information. In one aspect, a method includes receiving data specifying a time interval in which a provider is available, encoding the time interval in which the provider is available as one or more data structures that each identify (i) an offset value that specifies a time offset between a baseline time and a beginning of a reference time interval, and (ii) one or more respective time sub-interval values that identify one or more time sub-intervals within the reference time interval, and storing one or more of the data structures in association with the provider.

Abstract: A device includes a case for holding a mobile computer against a user's body so that a camera of the mobile computer faces away from the user's body. The device includes a wedge assembly, including a hinge and a wedge piece for contacting the user's body. The mobile computer can cause the wedge piece to rotate about the hinge, thereby positioning the case to an angle with respect to the user's body.

Abstract: An advertising system receives an advertisement from a merchant system and receives data from a call center associated with the merchant system and with the advertisement. The advertising system determines a call center occupancy at the merchant system call center. The advertising system determines a first bid for an advertising space auction based on the call center occupancy and transmits the first bid to an advertising platform hosting the advertising space auction. The advertising system receives a notice of progress of the advertising space auction from the advertising platform system. If the advertising space auction is still open, the advertising system determines the current call center capacity and adjusts the first bid for the auction based on the current call center capacity. The advertisement is displayed on a user computing device. When a user selects the advertisement, the user computing device dials the merchant system call center.