To fully analyze, mine, and utilize the information and knowledge implied in problem resolving use cases, this paper proposed the autonomous learning method based on machine inducting, hypothesis formulating, and result verifying, which was similar to the biological process of cows ruminating, called rumination computing. Firstly, after inducting and summarizing over 1080 mathematic application problem, the system architecture and general algorithm for humanoid automatic resolving mathematic application problems were represented, which typically included functional modules such as commonsense knowledge base, domain knowledge base, and local knowledge base, preprocessing, word segmentation and part of speech tagging, semantic framework matching, global semantic analyzing, thinking mechanism implementing, etc. Secondly, after the use case solutions were approved, three typical rumination computing modes, including vocabulary sequence, semantic relationship, and computing action, were introduced based on the correct results, resolving steps, and basic rumination actions. The rumination computing step plan was formulated, new knowledge was obtained from the commonsense and results verification, so the continuous autonomous learning loop for machine thinking was formed. Detailed explanations were provided for the three core algorithms implemented (rumination framework algorithm, rumination semantic algorithm, rumination action algorithm). Then, by specific mathematic application problem humanoid resolving user cases, the above three types of rumination computing modes were illumined.

Ping Zhu

Pohua Lv

Weiming Zou

Xuetao Jiang

Jin Shi

Yang Zhang

Yirong Ma

Applied and Computational Mathematics

应用和计算数学考虑发表关于计算和应用数学广泛主题的高质量论文。涵盖的领域和学科包括控制理论、博弈论、网络、优化、计算科学、信息技术、机电一体化以及经济和能源系统。这些和相关领域的原始研究成果，使用最先进的数学工具，在本期刊中找到，一个自然的家，一个更广泛的科学界的出路。应用和计算数学也考虑调查论文、简短的交流和对论文的评论。从事应用数学和计算数学的任何方面工作并希望了解最新进展的读者都可以轻松访问这些论文。

The journal "Applied and Computational Mathematics" is dedicated to publishing high-quality papers on a wide range of topics in computational and applied mathematics. The fields covered include control theory, game theory, networks, optimization, computational science, information technology, mechatronics, as well as economic and energy systems. Original research findings in these areas, utilizing state-of-the-art mathematical tools, find a natural home in this journal, providing an outlet for the broader scientific community. "Applied and Computational Mathematics" also considers survey papers, brief communications, and comments on papers. Readers engaged in any aspect of applied and computational mathematics can easily access these latest developments.

《Applied and Computational Mathematics》期刊致力于发表关于计算和应用数学的高质量论文，涵盖控制理论、博弈论、网络、优化、计算科学、信息技术、机电一体化以及经济和能源系统等广泛领域。这些领域的原创研究成果运用最先进的数学工具，旨在为更广泛的科学界提供一个自然的交流平台。《Applied and Computational Mathematics》也欢迎调查论文、简短交流和对论文的评论。所有从事应用数学和计算数学研究的读者都可以轻松获取这些最新进展。

Principle and Application for Rumination Computing Algorithms

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Journal Info

Category	Quartile
MATHEMATICS, APPLIED	1