Abstract: Freeform mathematical computations are described. In implementations, an input is recognized as a freeform selection of an area of a user interface output by a computing device. Text is identified that is associated with the area defined by the freeform selection and that includes one or more numbers. A mathematical computation is performed that involves the one or more numbers.

Abstract: A shape expressed using digital ink is recognized and a beautified shape is inserted into a document in a native document format. A user interface (“UI”) control is displayed adjacent to the beautified shape which, when selected, will display selectable items for modifying the beautified shape. Insertion of the beautified shape may be undone, the beautified shape may be deleted, and the format of the beautified shape may be modified. Digital ink may also be received that corresponds to text. The digital ink is inserted into a document, displayed, and the text represented by the digital ink is recognized. A UI control is displayed adjacent to the digital ink that will display one or more selectable UI items corresponding to recognition alternates. When selected, the selectable items will cause the text of the corresponding recognition alternate to be inserted into the document.