Symposium on Interactive Systems for Experimental Applied Mathematics最新文献

筛选
英文 中文
An interactive console operating as background in a large computer system 在大型计算机系统中作为后台操作的交互式控制台
Symposium on Interactive Systems for Experimental Applied Mathematics Pub Date : 1967-08-01 DOI: 10.1145/2402536.2402554
S. Schlesinger, Lawrence Sashkin, C. Aumann
{"title":"An interactive console operating as background in a large computer system","authors":"S. Schlesinger, Lawrence Sashkin, C. Aumann","doi":"10.1145/2402536.2402554","DOIUrl":"https://doi.org/10.1145/2402536.2402554","url":null,"abstract":"In order to fill the gap between small desktop calculators and conventional computer programming, an interactive console system has been developed to permit engineers and mathematicians to solve small scale problems with a simple algebra-like language, EASY (Elementary Algebraic Solutions for You). In order to achieve effective operation at low cost, the consoles (IBM 2260) are supported as a low level background function on an IBM 360 Model 40 computer Attached Support Processor (ASP), which is simultaneously supplying data processing capability to support multiple printers, plotters, card readers and punches, auxiliary storage devices, and the monitoring and job scheduling for an attached IBM 360 Model 65 computer (Fig. 1).","PeriodicalId":148361,"journal":{"name":"Symposium on Interactive Systems for Experimental Applied Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1967-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132818487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical symbol processing 数学符号处理
Symposium on Interactive Systems for Experimental Applied Mathematics Pub Date : 1967-08-01 DOI: 10.1145/2402536.2402557
C. Abraham, T. Pearcey
{"title":"Mathematical symbol processing","authors":"C. Abraham, T. Pearcey","doi":"10.1145/2402536.2402557","DOIUrl":"https://doi.org/10.1145/2402536.2402557","url":null,"abstract":"Most of the early efforts to write computer programs which perform symbolic mathematical operations were directed toward polynomial manipulation including their differentiation and integration [1, 2]. In 1961, Bernick et al. [3] produced an interpretive routine to provide multiple capabilities for a general class of mathematical expression. More recent programs belonging to the same class are FORMAC [4] and Formula ALGOL, [5] but both suffer various kinds of restrictions.","PeriodicalId":148361,"journal":{"name":"Symposium on Interactive Systems for Experimental Applied Mathematics","volume":"779 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1967-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123285429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An implementation of automatic array arithmetic by a generalized push-down stack 一种由广义下推堆栈实现的自动数组算法
Symposium on Interactive Systems for Experimental Applied Mathematics Pub Date : 1967-08-01 DOI: 10.1145/2402536.2402583
J. Reinfelds
{"title":"An implementation of automatic array arithmetic by a generalized push-down stack","authors":"J. Reinfelds","doi":"10.1145/2402536.2402583","DOIUrl":"https://doi.org/10.1145/2402536.2402583","url":null,"abstract":"One of the most fundamental and useful notions of mathematical analysis is the concept of a continuous, single valued function of one independent variable. By <i>y</i> = <i>f</i>(<i>x</i>) we mean that for every <i>x</i> in the range of <i>x</i>, defined as α ≤ x ≤ β, the mapping <i>f</i> provides us with a value in the domain of the function <i>y</i><sub>α</sub> ≤ <i>y</i> ≤ <i>y</i><sub>β</sub>, where <i>y</i><sub>α</sub> = <i>f</i>(<i>x</i><sub>α</sub>) and <i>y</i><sub>β</sub> = <i>f</i>(<i>x</i><sub>β</sub>). In a numerical computation we represent the part of the range of the independent variable, which is of interest to us, by a suitably chosen ordered set of <i>n</i> + 1 values (<i>x</i><sub>0</sub>, <i>x</i><sub>1</sub>, <i>x</i><sub>2</sub>, . . ., <i>x<sub>n</sub></i>), and a representation of any function over this range is then found by evaluating <i>y</i> = <i>f</i>(<i>x</i>) at these points, to obtain a corresponding ordered set of values (<i>y</i><sub>0</sub>, <i>y</i><sub>1</sub>, <i>y</i><sub>2</sub>, . . ., <i>y<sub>n</sub></i>). Because of the obvious analogy, these arrays of numbers representing continuous functions are often called vectors. However, a semantic problem arises when we discuss vectors of functions, such as the vector potential or the wind velocity patterns in the atmosphere. Therefore, I prefer to make a special case of the representations of continuous functions and refer to them as arrays rather than vectors.","PeriodicalId":148361,"journal":{"name":"Symposium on Interactive Systems for Experimental Applied Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1967-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131558407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Structure of a language for a numerical analysis problem solving system 一种用于数值分析问题解决系统的语言结构
Symposium on Interactive Systems for Experimental Applied Mathematics Pub Date : 1967-08-01 DOI: 10.1145/2402536.2402543
Lawrence R. Symes, R. V. Roman
{"title":"Structure of a language for a numerical analysis problem solving system","authors":"Lawrence R. Symes, R. V. Roman","doi":"10.1145/2402536.2402543","DOIUrl":"https://doi.org/10.1145/2402536.2402543","url":null,"abstract":"The Numerical Analysis Problem Solving System (NAPSS) project has been undertaken at Purdue University to design and construct an interactive system for solving numerical problems [1]. The system is designed to accept input in a language which is very close to natural mathematical notation, and also to provide for the solution of problems without requiring specially trained programmers and numerical analysts.","PeriodicalId":148361,"journal":{"name":"Symposium on Interactive Systems for Experimental Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1967-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126002043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
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×
相关产品
×
本文献相关产品
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