Graph Display Control for Point Relationship Analysis
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Conventional graphical function calculators are unable to analyze the relationship between two points on a graph effectively, limiting user understanding of the graph's basic structure.
Innovation Solution
An electronic computer system with a display unit, graph display control, position specify unit, pointer display control, calculation result display control, and pointer movement control units, allowing for multiple point positions to be specified and calculated, enabling various analyses such as slope, maximum/minimum values, integration, differential values, continuity, and local maximum/minimum calculations between trace pointers.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If multiple trace pointers are displayed on the graph, then the ability to compare points is improved, but the capability to analyze the relationship between points deteriorates
Solution Approach 1:
The patent introduces a calculation result display unit that acts as an intermediary between the multiple trace pointers and the user. This unit automatically performs calculations (such as slope, distance, midpoint) between the pointed positions and displays the results, mediating the complex relationships between multiple points without requiring the user to manually analyze them. This resolves the contradiction by providing comprehensive point relationship analysis while maintaining simple user interaction.
2Ease of operation
If conventional trace function is used, then pointer positioning is simple, but graph relationship analysis capability is limited
Solution Approach 1:
The patent makes the trace function universal by enabling it to perform multiple functions: not only positioning pointers on the graph (original function) but also automatically calculating various relationships between pointed positions including slope, distance, midpoint coordinates, and other mathematical relationships. The calculation result display unit provides versatile analysis capabilities while maintaining the simplicity of pointer positioning through the same trace operation mechanisms.
Data Source
AI summary
A display that displays a graph corresponding to a function expression, an input unit that specifies a plurality of point positions on the graph displayed on the display unit, a processor that performs display control of a graph corresponding to a function expression on the display unit, does a specific calculation on the basis of positional information on a plurality of pointers displayed on the display unit and the function expression of the graph and performs display control of a result of calculation on the display unit, performs movement display control on the graph of an arbitrary one of the plurality of pointers displayed on the display unit according to an input from the input unit, and does the calculation again, updates the result of calculation, and performs display control of the updated result on the display unit, an storage area, and a work storage area, are provided.