Abstract: Methods and systems for distributed mobile subscription management are described herein. According to an implementation, a computer server on a third-party computer platform may obtain information related to services provided by a telecommunication carrier. The computer server may generate advertisements of the services and present the advertisements on a graphical user interface (GUI) of an app installed on a user device, the app being associated with the third-party computer platform. The computer server may further receive a user interaction to select the service on the GUI of the app. In response to the selection, the computer server may provide one or more user interfaces on the GUI of the app, enabling an instant subscription of the service for the user using eSIM based at least in part on user profile associated with the app.

Abstract: This invention provides a novel affordance to algebra. It combines the immediacy of a manipulative with the power of a computer algebra system. Operations are executed in-place on a mutable expression, by direct manipulation of its terms by the user. Terms, whether simple or complex, can be selected by the user and dragged from one location in the expression to another. The equivalence of the expression is maintained by changes to the moving term and other terms in the expression. A highly interactive interface illuminates to the user the range of potential actions. The beneficiaries of this technology are students, who have a new avenue for exploratory learning and technologists, who have a new tool for symbolic reasoning.

Abstract: This invention provides a novel affordance to algebra. It combines the immediacy of a manipulative with the power of a computer algebra system. Operations are executed in-place on a mutable expression, by direct manipulation of its terms by the user. Terms, whether simple or complex, can be selected by the user and dragged from one location in the expression to another. The equivalence of the expression is maintained by changes to the moving term and other terms in the expression. A highly interactive interface illuminates to the user the range of potential actions. The beneficiaries of this technology are students, who have a new avenue for exploratory learning and technologists, who have a new tool for symbolic reasoning.