Graph Display Apparatus with Coefficient Adjustment Sliders
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Solution Overview
Problem
Users, especially beginners, face difficulties in easily generating and displaying graphs corresponding to mathematical expressions due to complex operations required for changing coefficient values, particularly on devices with restricted display areas and small keys.
Innovation Solution
A graph display apparatus with a processor and display unit that allows users to designate positions on the screen to determine expressions, generate sliders for changing coefficient values, and display graphs, enabling easy modification of graph forms by operating the sliders.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Area of stationary object
If users input mathematical expressions using a keyboard on devices with restricted display areas, then graphs can be displayed, but individual keys become small and difficult to operate
Solution Approach 1:
The keyboard is segmented into multiple pages or sections that can be displayed sequentially or simultaneously. Users can navigate between different key sets without requiring all keys to be visible at once, maintaining key size while providing comprehensive input capabilities for mathematical expressions.
Solution Approach 2:
The keyboard interface transitions from a two-dimensional grid of small keys to a multi-page or pop-up interface where keys are displayed in larger sizes across additional display dimensions (time/sequence or spatial layers), allowing easier operation while maintaining full functionality.
2Ease of operation
If sliders are displayed for changing coefficient values, then users can easily modify graphs, but complicated operations are required to display the sliders
Solution Approach 1:
Slider controls for coefficient adjustment are pre-configured and automatically displayed when a graph is generated or when the user enters graph editing mode. This eliminates the need for users to perform complicated operations to summon the sliders, as they are already prepared and visible for immediate use.
Solution Approach 2:
The graph display system automatically provides the necessary slider controls based on the detected mathematical expression and user intent. The system serves itself by generating appropriate controls without requiring explicit user commands to display each slider, reducing operational complexity.
3Manufacturing precision
If users manually input coefficient values through setting screens, then graphs can be displayed, but the process requires multiple operations and is time-consuming
Solution Approach 1:
The system provides real-time feedback by automatically updating the graph display as users interact with slider controls or input fields. This immediate visual feedback allows users to quickly adjust coefficients and see results without completing full setting sequences, reducing the time needed to achieve desired graph accuracy.
Solution Approach 2:
Default coefficient values and graph settings are pre-calculated and displayed based on the mathematical expression provided. Users can accept these preliminary settings or make quick adjustments, eliminating the need to manually configure every parameter from scratch and significantly reducing graph generation time.
Data Source
AI summary
A graph display apparatus includes a display unit and a processor. The display unit includes a display screen. The processor performs following processes of: determining an expression as a graph display object according to positions on the display screen, the positions being designated by a user; generating an operation receiver for changing a numerical value of a coefficient included in the determined expression, according to an operation of the user; displaying the graph of the determined expression and the generated operation receiver on the display screen; and changing the graph displayed on the display screen, according to the operation of the user on the displayed operation receiver.