Intelligent selection and representation method for significant digits of significant figure operational result

A technology of calculation results and significant figures, applied in the field of physical experiments, can solve problems such as poor applicability and unfavorable handling, and achieve good applicability

Active Publication Date: 2012-08-01
ZHEJIANG UNIV OF TECH
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  • Abstract
  • Description
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Problems solved by technology

[0003] In order to overcome the shortcomings of manual selection of effective digits in the effective digit calculation results in existing physical experiments, which is not conducive to processing massive data, random digits, and poor applicability, the present invention provides an intelligent selection, effective Applicable to the processing of massive data, occasions where the number of digits is random, and the intelligent selection and representation of the effective digits of the effective digit operation results with good applicability

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  • Intelligent selection and representation method for significant digits of significant figure operational result
  • Intelligent selection and representation method for significant digits of significant figure operational result
  • Intelligent selection and representation method for significant digits of significant figure operational result

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Embodiment Construction

[0020] The present invention will be further described below in conjunction with the accompanying drawings.

[0021] refer to Figure 1 to Figure 8 The effective digits of the operation results of physical experiment data are related to the effective digits of the operation data and the type of operation. After the number of effective digits of the operation results is determined, the last digit of the effective digit and only the last digit is the suspicious digit or error digit. The value of the suspect digit is determined by the rounding rules of the rounding spouse.

[0022] (1) Addition and subtraction

[0023] The last digit of the result of addition and subtraction is the same as the suspicious digit that appears first (the highest number of digits) in the data of addition and subtraction, for example: 213.26+16.8≈230.1. Among them, the suspicious digit of the operation data "213.26" is the second digit after the decimal point, while the suspicious digit of "16.8" is ...

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Abstract

An intelligent selection and representation method for significant digits of a significant figure operational result includes the steps: firstly, searching each character in a numeric expression from left to right, acquiring adding and subtracting items with '+' or '-' serving as a breakpoint, acquiring multiplying and dividing items in each adding and subtracting item with '*' or '/' serving as a breakpoint, and acquiring power base items of each multiplying and dividing item with '^' serving as a breakpoint; secondly, performing trigonometric function and logarithm operation, selecting the significant digits of the operational result, and utilizing a selection result to substitute for an original trigonometric function or logarithm function expression; thirdly, counting significant digits of multiplying and dividing data and power base data in each adding and subtracting item, wherein the minimum digits are the significant digits of a result of the data after multiplication, division and power operation, and the operational expression only including addition and subtraction is obtained after multiplication, division and power operation; and fourthly, unifying the exponential form of scientific notation of all the adding and subtracting data, counting error digits of all the data, and obtaining error digits of significant figures. The intelligent selection and representation method adopts intelligent selection, is effectively applicable to occasions for processing massive data and with random digits, and is high in applicability.

Description

Technical field: [0001] The invention relates to the field of physical experiments, in particular to a method for selecting and expressing effective digits of effective digit operation results in physical experiments. Background technique: [0002] The selection of the number of effective digits in the calculation results of physical experiment data is an important link in the processing of physical experiment data. At present, the method of selecting the effective digits of the calculation results of physical experiment data usually adopts the method of manual selection, that is, manual selection, or artificially setting the number of digits of the calculation results in the computer data processing system (embedded in the program or in the system) input on the interface), the computer automatically selects the result of the operation according to the number of digits and the rules of rounding to five spouses (such as the function of selecting the number of significant digi...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F7/10
Inventor 陈鲤江吴姚鑫景程
Owner ZHEJIANG UNIV OF TECH
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