Graph Display Control Device True Value Coordinate Rendering
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Solution Overview
Problem
Conventional graph display devices cannot accurately show coordinates of feature points as true values, leading to decreased learning efficiency due to the display of approximate values for xy coordinates.
Innovation Solution
A graph display control device with a true value judging unit that determines whether coordinates can be displayed as true values, using radical roots, fractions, and π, and controls the display to show coordinates in true value form when possible, or as rounded numbers when not.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the graph display device displays coordinate values with a predetermined number of significant figures, then the display is simple and consistent, but the feature points cannot be shown as true values, decreasing learning efficiency
Solution Approach 1:
The patent applies local quality by differentiating the display format based on the type of point being displayed. Feature points (where x-coordinate is a rational number) are displayed with true values using mathematical symbols (√, π, fractions), while non-feature points are displayed with approximate decimal values. This localized differentiation allows the system to provide precise true values where mathematically meaningful without compromising the overall display system.
2Ease of operation
If the graph display device shows approximate decimal values for coordinates, then the display is straightforward, but true values of feature points are not revealed, reducing educational value
Solution Approach 1:
The patent changes the display parameter (format of coordinate values) based on the mathematical properties of the point being displayed. When the x-coordinate is a rational number, the system transforms the y-coordinate calculation to express the result in true value form using mathematical constants and operations. This parameter change allows the display to adapt between approximate and exact representations based on the underlying mathematical reality.
3Productivity
If the device calculates and displays y-coordinate as an approximation from the x-coordinate, then the calculation is simple and fast, but the feature points are not accurately represented
Solution Approach 1:
The patent applies preliminary action by checking whether the x-coordinate represents a feature point (rational number) before performing the y-coordinate calculation. This preliminary check allows the system to select the appropriate calculation path: exact symbolic computation for feature points or numerical approximation for non-feature points, thereby ensuring accuracy where needed while maintaining efficiency overall.
Data Source
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AI summary
A graph display control device, a graph display control method, and a storage medium storing a graph display control program are shown. According to one implementation, the graph display control device includes a display unit and other various units. A true value judging unit judges whether it is possible to display at least one of the variables of a coordinate value of the specified point in a true value. A true value coordinate display control unit displays the variable of the coordinate value with a true value when it is judged that it can be displayed with the true value. A coordinate value display control unit displays the variable of the coordinate value as a value within predetermined digits when judged that the coordinate cannot be displayed with the true value.