Simulating Fast Acceleration in Number Display via Prime Increments
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Solution Overview
Problem
Existing control devices struggle to display a rapid change in numerical values on a computer screen due to hardware limitations, such as screen refresh rate, making it difficult for users to perceive an accelerating change, especially when changing large numbers like 123,456,789 from 0.
Innovation Solution
The method involves displaying a sequence of numbers where the difference between each successive number is a prime number, with each place digit changing, allowing for a perceived acceleration of the number change without being limited by hardware constraints, by displaying a first number, then a second number greater than the first, and a third number greater than the second, with each step's value difference increasing, thus simulating an accelerating change.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If the control device changes the number value by a fixed value for each interaction with the increase value control, then the number can be changed step by step, but it takes a very long time to reach the desired number when the difference is extreme
Solution Approach 1:
The patent applies dynamics by making the increment value dynamic rather than fixed. The increment value changes based on the current number's magnitude - smaller increments for smaller numbers and larger increments for larger numbers. This dynamic adjustment allows the system to transition from precise step-by-step changes to rapid acceleration as the number increases, resolving the contradiction between ease of operation and time loss.
Solution Approach 2:
The patent changes the parameter of increment value based on the current number displayed. When the number exceeds certain thresholds, the increment value automatically increases. This parameter change enables the system to adapt the change rate to the current state, allowing fast acceleration for large number changes while maintaining controllability for small changes.
2Speed
If the control device accelerates the display speed of the number by shortening the moment of time between each number, then the number changes faster, but hardware limitation of screen refresh rate limits how quickly numbers can be displayed
Solution Approach 1:
The patent substitutes the mechanical display limitation with a mathematical sequence approach. Instead of relying on the display hardware to rapidly show every intermediate number (which is limited by refresh rate), the system uses a mathematical sequence of numbers with increasing differences. This allows the perceived acceleration to be achieved through the sequence pattern rather than through rapid hardware-based number changes.
Solution Approach 2:
The patent introduces an intermediary mathematical sequence as a mediator between the user input and the display. Rather than directly displaying numbers at hardware-limitation speed, the sequence acts as an intermediary that translates user actions into perceived acceleration through its mathematical properties (increasing differences between consecutive numbers).
3Productivity
If the control device displays numbers at the maximum hardware speed, then the display responds as fast as possible, but the user cannot perceive that the change is accelerating
Solution Approach 1:
The patent applies dynamics by making the increment value dynamic rather than fixed. The increment value changes based on the current number's magnitude - smaller increments for smaller numbers and larger increments for larger numbers. This dynamic adjustment allows the system to transition from precise step-by-step changes to rapid acceleration as the number increases, resolving the contradiction between ease of operation and time loss.
Solution Approach 2:
The patent changes the parameter of increment value based on the current number displayed. When the number exceeds certain thresholds, the increment value automatically increases. This parameter change enables the system to adapt the change rate to the current state, allowing fast acceleration for large number changes while maintaining controllability for small changes.
Data Source
AI summary
A method for displaying an accelerated change in a numerical value on a computer display, wherein the accelerated change displayed on the computer display is not limited by hardware limitations, such as refresh rate and/or a processor speed. The method displays a sequence of numbers to simulate an accelerating change of the numerical value displayed on a display device.


