Electronic Calculator Formula Display with Dynamic Intake Range
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Solution Overview
Problem
Conventional scientific electronic calculators are unable to display mathematical formulas in a naturally formatted way, particularly for functions like square roots and fractions, as they restrict the intake range to a minimum formula part, limiting the ability to display complex expressions in a mathematically natural form.
Innovation Solution
An electronic calculator with formula input means, display means, cursor control, intake input specifying means, and function intake means that determine the intake range based on cursor position and symbols like parentheses and arithmetic symbols, allowing for a sufficient range to be taken in and displayed in a mathematically natural form.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If the intake range is restricted to a minimum formula part immediately before and after the function, then the device complexity is reduced, but the formula range that can be taken in is insufficient
Solution Approach 1:
The patent implements dynamic range expansion by detecting parentheses nesting levels and arithmetic symbols to automatically adjust the intake range. The system dynamically determines the formula range based on cursor position, parenthesis depth, and operator types, allowing the intake function to adapt to different formula structures without requiring complex manual specification from the user.
Solution Approach 2:
The system performs self-service by automatically detecting and determining the appropriate formula range based on the cursor position and formula structure. The intake range decision means autonomously analyzes the formula context, identifies parentheses nesting, and selects the optimal range without requiring additional user input or complex configuration, thereby simplifying the operation while expanding capability.
2Area of stationary object
If the formula is displayed in one line according to display capability, then the display unit space is utilized efficiently, but the mathematical natural form is lost
Solution Approach 1:
The patent transitions from one-dimensional linear display to two-dimensional mathematical notation display. The display control means renders formulas with proper vertical arrangement of numerators and denominators, positioned root symbols, and nested parentheses structures, creating a mathematically natural format that utilizes the display area more effectively while improving readability.
3Ease of operation
If the cursor moves over the displayed formula, then the ease of operation is improved, but the precision of intake range determination becomes more difficult
Solution Approach 1:
The system implements feedback mechanisms where the intake range decision means continuously monitors cursor position and formula structure to determine the appropriate intake range. The cursor position feedback, combined with parenthesis depth and operator type detection, enables accurate range determination while maintaining ease of operation. The system provides visual feedback through cursor positioning that helps users understand the detected range.
Data Source
AI summary
When the intake input mode is set and a 2D function key, such as “√{square root over ( )}” or “a/b,” is operated in a state where the cursor has been moved to an arbitrary position on the formula displayed on the display unit of an electronic calculator, the range of the formula covered by the input 2D function (or to be calculated) is determined on the basis of the position of the cursor by recognizing a formula part sandwiched by parentheses or a chunk of the formula part of a function with parentheses, recognizing a chunk of a formula part of a 2D function, recognizing a chunk of a formula part with successive numerals and characters, and recognizing the position of an arithmetic symbol (“+,”“−,”“×,” or “÷”) or a delimiter (“:” or “,”). The determined range is taken in by the input 2D function.