Numerical Expression Display Apparatus for Complex Formula Visualization
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Solution Overview
Problem
Existing mathematical calculators find it difficult for users to grasp the structure of complex numerical expressions, especially when displayed in single-line form, as the structure becomes obscured and hard to understand.
Innovation Solution
A numerical expression display control apparatus that divides input expressions into calculation units and converts them into smaller display blocks, arranging these blocks in a map format corresponding to the natural expression form, allowing for easier visualization and editing.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If the numerical expression is displayed in single-line expression form, then the display can accommodate complex expressions, but the structure of the numerical expression becomes difficult to grasp
Solution Approach 1:
The patent divides the numerical expression into multiple calculation units, each representing a distinct computational component. This segmentation allows the expression to be broken down into manageable parts that can be individually processed and displayed, resolving the contradiction between handling complexity and maintaining structural clarity.
Solution Approach 2:
The patent transitions from a one-dimensional single-line display to a two-dimensional map display where calculation units are arranged in spatial positions corresponding to their logical relationships. This dimensional change enables the display of complex expressions while preserving structural information through spatial arrangement.
2Ease of operation
If the numerical expression is displayed in natural expression form, then the whole structure can be grasped easier, but the entire expression cannot be displayed when it is massive
Solution Approach 1:
By dividing the massive numerical expression into multiple smaller calculation units, the patent enables the entire expression to be displayed within a limited screen area. Each calculation unit occupies a manageable portion of the display, allowing complete visibility of the entire expression while maintaining natural expression form for structural clarity.
Solution Approach 2:
The patent uses a two-dimensional map display approach that efficiently packs calculation units into the available display area. This spatial arrangement allows the entire massive expression to be visualized simultaneously without requiring excessive display area, while preserving the natural expression structure through positional relationships.
3Illumination intensity
If calculation units are displayed as larger blocks, then each unit is more visible, but the entire map cannot be displayed when the expression is massive
Solution Approach 1:
The patent optimizes the size parameter of calculation unit blocks to achieve an optimal balance. The blocks are sized to be clearly visible and distinguishable while remaining small enough to allow the entire map of calculation units to fit within the display area. This parameter adjustment resolves the contradiction between individual visibility and overall display completeness.
Data Source
AI summary
When a numerical expression (FIG. 6(a)) is inputted to a mathematical calculator (1) and then a rough display key (27) is depressed, calculation units composing the numerical expression are converted to display blocks, whereby the numerical expression is displayed in a natural expression form on a display (3) and a rough map (M) is also displayed in which the display blocks are disposed at positions corresponding to those of the calculation units of the numerical expression in the natural expression form (FIG. 6(b)). A calculation unit of the numerical expression to be edited is indicated by a cursor (30) and a corresponding display block of the rough map is displayed emphatically in the rough map (FIG. 6(c)).