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徐有壬的幂级数代数符号系统研究 被引量:1
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作者 王海林 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2001年第1期85-89,94,共6页
介绍并研究徐有壬的幂级数代数符号系统的方法和特点.
关键词 徐有壬 幂级数 代数符号系统 率名 大小八线互求公式 中国数学史 无穷级数
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符号代数Maple V中的绘图功能
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作者 刘明才 宫豪 王洪君 《计算机辅助工程》 1996年第4期75-77,共3页
本文简要地介绍了符号代数系统MapleV中的绘图功能及使用方法.
关键词 符号代数系统 绘图 CAD
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基于Linux下的高性能符号计算平台的实现 被引量:5
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作者 冯勇 陈光喜 +1 位作者 符红光 曾振柄 《计算机工程与应用》 CSCD 北大核心 2003年第15期16-19,38,共5页
符号代数计算在最近十多年已得到了高度重视,各国都在开发具有自主知识产权的高性能符号代数计算平台,如美国的Mathematica、加拿大的Maple和欧盟的Possol等。这些系统已经广泛应用于大规模科学工程计算和理论研究中。但它们仍有种种不... 符号代数计算在最近十多年已得到了高度重视,各国都在开发具有自主知识产权的高性能符号代数计算平台,如美国的Mathematica、加拿大的Maple和欧盟的Possol等。这些系统已经广泛应用于大规模科学工程计算和理论研究中。但它们仍有种种不足,例如软件调用内存的限制,仅提供面向过程的而非面向对象的设计语言,特别是源代码的不公开性造成了在其上面开发的软件受制于开发平台。笔者目前开发的基于Linux下的高性能符号计算平台建立在快速的大整数运算、多项式运算和因式分解基础上,具有效率高、计算能力强、源码公开等显著优点,同时为用户提供了两种接口,一是在C++语言里提供源程序级类库,用户可以用基本类库和面向对象的程序设计语言编程;二是象大多数计算机代数系统那样提供一种编程语言,用户可以在平台上进行程序设计。这个平台也是我国目前唯一的基于Linux下的高性能符号计算平台。该文重点讨论该平台的实现原理和方法,并与Maple进行了对比测试,结果显示该平台具有更高的效率。 展开更多
关键词 符号代数系统 多项式运算 因式分解 LINUX
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The Trinity Triangle and the Homonymy of the Word "Is" in Natural Language
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作者 Vladimir Lobovikov 《Journal of Philosophy Study》 2015年第7期327-341,共15页
There are philosophers and logicians who do think that the Trinity-triangle makes up an evident formal-logic inconsistency demonstrating convincingly that Christian faith is illogical and hence irrational one. The pre... There are philosophers and logicians who do think that the Trinity-triangle makes up an evident formal-logic inconsistency demonstrating convincingly that Christian faith is illogical and hence irrational one. The present paper submits a systematic counter-argumentation against such thinking. According to the submitted counter-arguments, there is no formal-logic inconsistency in the Holy-Trinity-triangle: There is only a logic-linguistic illusion of such inconsistency which illusion is naturally produced by the ambiguity of the word "is" in natural language. The author has invented an effective remedy for that illusion, namely, a precise formulation of the generalized and thus modernized Guillotine of Hume by means of an artificial language of two-valued algebraic system of formal ethics of moral rigor. Systematical using the mathematized formulation of the generalized Hume's Guillotine cuts down the mentioned linguistic illusion of logical inconsistency. Thus, the paper essentially interconnects discrete mathematical representations of formal iogic of thinking and formal ethics of acting. In relation to contemporary symbolic logic, the author submits not a technical result solving some important particular problem concerning some specific system of symbolic logic but a significantly new result of conceptual work concerning logic in general and its interconnection with mathematical ethics. The old idea of logic as a moral science is transformed into a novel idea of symbolic logic as a brunch of mathematical ethics. In particular, two-valued algebra of classical formal logic is considered as a particular case of two-valued algebra of formal ethics of moral rigor. The submitted conception of logic is instantiated by applying it to the knotty logic-problem of Holy-Trinity-triangle. 展开更多
关键词 symbolic-logic mathematical-ethics mathematical-theology the-Holy-Trinity algebra-of-formal-ethics moral-evaluation-function formal-ethical-equivalence formal-ethical-entailment
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