Abstract: Methods and systems are disclosed for interacting with advertisements on a virtual keyboard. An advertisement appears in a position that is proximate to a virtual key of the virtual keyboard. A user can manipulate the advertisement based on performing one or more types of gestures or key presses on or near the virtual keys. One type of gesture triggers an interaction with the advertisement and another type of gesture or key press performs a standard keyboard function.

Abstract: To prevent spreadsheet errors, a solution is disclosed that provides a multiple-region spreadsheet including additional representations, providing readily usable creation and editing of computational structure operations, without altering the conventional grid representation of a spreadsheet or its formula syntax. The multiple-region spreadsheet may include a traditional row-column arrangement of cells in a grid format, along with a calculation view pane intended to display underlying formulas used in the grid along with truncated cell assignments.

Abstract: Methods for generation and execution of elastic sheet-defined functions and arrays are performed by systems, devices, and apparatuses. Elastic sheet-defined functions are generated from inelastic defined functions. Specific notations for tile ranges and range references of inputs for an inelastic function are generated, and heights, widths, rows, and columns of the inputs are modified with delta variables. Constraints for the delta variables are generated and mapped to solve for a constraints solution for a given inelastic function. Based on the constraints solution, an elastic sheet-defined function is generated that takes dynamic input ranges of different sizes. Elastic sheet-defined functions are executed to prevent overlap of tiles and ranges for variables by generating new sheets for tiles and ranges, dynamically moving tiles and ranges, and assigning cells as arrays. Software programming arrays are also dynamically sized in a similar manner.

Abstract: Methods for generation and execution of elastic sheet-defined functions and arrays are performed by systems, devices, and apparatuses. Elastic sheet-defined functions are generated from inelastic defined functions. Specific notations for tile ranges and range references of inputs for an inelastic function are generated, and heights, widths, rows, and columns of the inputs are modified with delta variables. Constraints for the delta variables are generated and mapped to solve for a constraints solution for a given inelastic function. Based on the constraints solution, an elastic sheet-defined function is generated that takes dynamic input ranges of different sizes. Elastic sheet-defined functions are executed to prevent overlap of tiles and ranges for variables by generating new sheets for tiles and ranges, dynamically moving tiles and ranges, and assigning cells as arrays. Software programming arrays are also dynamically sized in a similar manner.

Abstract: Methods and systems are disclosed for interacting with advertisements on a virtual keyboard. An advertisement appears in a position that is proximate to a virtual key of the virtual keyboard. A user can manipulate the advertisement based on performing one or more types of gestures or key presses on or near the virtual keys. One type of gesture triggers an interaction with the advertisement and another type of gesture or key press performs a standard keyboard function.

Abstract: To prevent spreadsheet errors, a solution is disclosed that provides a multiple-region spreadsheet including additional representations, providing readily usable creation and editing of computational structure operations, without altering the conventional grid representation of a spreadsheet or its formula syntax. The multiple-region spreadsheet may include a traditional row-column arrangement of cells in a grid format, along with a calculation view pane intended to display underlying formulas used in the grid along with truncated cell assignments.

Abstract: Methods and systems are disclosed for interacting with advertisements on a virtual keyboard. An advertisement appears in a position that is proximate to a virtual key of the virtual keyboard. A user can manipulate the advertisement based on performing one or more types of gestures or key presses on or near the virtual keys. One type of gesture triggers an interaction with the advertisement and another type of gesture or key press performs a standard keyboard function.

Abstract: Methods and systems are disclosed for interacting with advertisements on a virtual keyboard. An advertisement appears in a position that is proximate to a virtual key of the virtual keyboard. A user can manipulate the advertisement based on performing one or more types of gestures or key presses on or near the virtual keys. One type of gesture triggers an interaction with the advertisement and another type of gesture or key press performs a standard keyboard function.

Abstract: Methods and systems are disclosed for interacting with advertisements on a virtual keyboard. A user can manipulate the advertisement based on performing one or more types of gestures or key presses on or near the virtual keys. One type of gesture triggers an interaction with the advertisement and another type of gesture or key press performs a standard keyboard function. The virtual keyboard can be used to collect data from the user and/or device displaying the keyboard.

Abstract: Methods and systems are disclosed for interacting with advertisements via a display screen. The advertisement can be activated using an activation input, such as a gesture, a swiping motion, or other user interaction. The activation input can minimize, limit, or substantially prevent accidental activation of advertisements. Intentional activations of advertisements can be tracked to, for example, accurately determine appropriate payments to ad providers, collect user data, and/or other actions.

Abstract: Methods and systems are disclosed for interacting with advertisements on a virtual keyboard. An advertisement appears in a position that is proximate to a virtual key of the virtual keyboard. A user can manipulate the advertisement based on performing one or more types of gestures or key presses on or near the virtual keys. One type of gesture triggers an interaction with the advertisement and another type of gesture or key press performs a standard keyboard function.