基于SM变换的计算过程特征

T. Martyniuk, D.O. Katashynskyi, M.V. Mykytyuk, M.O. Zaitsev
{"title":"基于SM变换的计算过程特征","authors":"T. Martyniuk, D.O. Katashynskyi, M.V. Mykytyuk, M.O. Zaitsev","doi":"10.31649/1681-7893-2022-44-2-32-37","DOIUrl":null,"url":null,"abstract":"The features and functionality of processing of the one – dimensional (vector) arrays of numerical data by the use of computational method with the formation of difference slices are considered. At the base of this method SM – transformation principles are used. The allocation of the minimum of non-zero component of the element array in this case is considered as the formation of the internal processing threshold and is the basic procedure of SM - transformation in each processing cycle. As a result, not only the operation of parallel multi-operand summation of the number array is realized, but also there is an opportunity to restore the initial number array, as well as to sort its elements according to the growth of their numerical values and to form their ranks. Two matrices of binary masks are used for this, that are formed during the processing, which are the matrices of zero and positive criterion, respectively, inherent in the elements of the current difference  slices. In addition, in each processing cycle the internal thresholds form a vector of internal thresholds as a result, which takes part in restoring the elements of the initial array. The it is presented in the article the basic relations of difference slice processing, and the examples that confirm their validity using data presented in the form of a table.","PeriodicalId":142101,"journal":{"name":"Optoelectronic information-power technologies","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Features of computational processes based on SM – transformation\",\"authors\":\"T. Martyniuk, D.O. Katashynskyi, M.V. Mykytyuk, M.O. Zaitsev\",\"doi\":\"10.31649/1681-7893-2022-44-2-32-37\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The features and functionality of processing of the one – dimensional (vector) arrays of numerical data by the use of computational method with the formation of difference slices are considered. At the base of this method SM – transformation principles are used. The allocation of the minimum of non-zero component of the element array in this case is considered as the formation of the internal processing threshold and is the basic procedure of SM - transformation in each processing cycle. As a result, not only the operation of parallel multi-operand summation of the number array is realized, but also there is an opportunity to restore the initial number array, as well as to sort its elements according to the growth of their numerical values and to form their ranks. Two matrices of binary masks are used for this, that are formed during the processing, which are the matrices of zero and positive criterion, respectively, inherent in the elements of the current difference  slices. In addition, in each processing cycle the internal thresholds form a vector of internal thresholds as a result, which takes part in restoring the elements of the initial array. The it is presented in the article the basic relations of difference slice processing, and the examples that confirm their validity using data presented in the form of a table.\",\"PeriodicalId\":142101,\"journal\":{\"name\":\"Optoelectronic information-power technologies\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optoelectronic information-power technologies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31649/1681-7893-2022-44-2-32-37\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optoelectronic information-power technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31649/1681-7893-2022-44-2-32-37","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

考虑了利用差分切片的计算方法处理数值数据的一维(矢量)数组的特点和功能。在此方法的基础上,应用了SM -变换原理。在这种情况下,单元阵列非零分量最小值的分配被认为是内部处理阈值的形成,是每个处理周期中SM -变换的基本过程。这样,不仅实现了数字数组的并行多操作数求和操作,而且有机会恢复初始数字数组,并根据其数值的增长对其元素进行排序并形成其秩。为此使用了处理过程中形成的两个二进制掩模矩阵,它们分别是当前差片元素所固有的零准则矩阵和正准则矩阵。此外,在每个处理周期中,内部阈值形成一个内部阈值向量,参与恢复初始数组的元素。本文介绍了差片处理的基本关系,并用表格形式的数据验证了它们的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Features of computational processes based on SM – transformation
The features and functionality of processing of the one – dimensional (vector) arrays of numerical data by the use of computational method with the formation of difference slices are considered. At the base of this method SM – transformation principles are used. The allocation of the minimum of non-zero component of the element array in this case is considered as the formation of the internal processing threshold and is the basic procedure of SM - transformation in each processing cycle. As a result, not only the operation of parallel multi-operand summation of the number array is realized, but also there is an opportunity to restore the initial number array, as well as to sort its elements according to the growth of their numerical values and to form their ranks. Two matrices of binary masks are used for this, that are formed during the processing, which are the matrices of zero and positive criterion, respectively, inherent in the elements of the current difference  slices. In addition, in each processing cycle the internal thresholds form a vector of internal thresholds as a result, which takes part in restoring the elements of the initial array. The it is presented in the article the basic relations of difference slice processing, and the examples that confirm their validity using data presented in the form of a table.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信