将语义计数系统建模为带非线性控制的动态系统，揭示其状态演化规律。
Semantic Numeration Systems as Dynamical Systems
- 把语义计数对象视为具有连接拓扑的离散动力系统
- 在理想可观察下给出静止与非静止状态方程
- 配置矩阵整合了算子类型、参数与拓扑信息，起核心作用
语义计数系统理论的基本概念被简要概述。基数语义算子的作用在属于基数语义多重性的基数抽象实体集合上展开。提出由这些实体在特定连接拓扑下形成的基数抽象对象（CAO）可视为带有非线性控制的线性离散动力系统。在理想可观测性假设下，给出了静止与非静止情况下的CAO状态方程。证明了配置矩阵在整合CAO中基数语义算子的类型、参数及连接拓扑信息方面起着根本作用。
原文摘要 · Abstract (English)
The foundational concepts of semantic numeration systems theory are briefly outlined. The action of cardinal semantic operators unfolds over a set of cardinal abstract entities belonging to the cardinal semantic multeity. The cardinal abstract object (CAO) formed by them in a certain connectivity topology is proposed to be considered as a linear discrete dynamical system with nonlinear control. Under the assumption of ideal observability, the CAO state equations are provided for both stationary and non-stationary cases. The fundamental role of the configuration matrix, which combines information about the types of cardinal semantic operators in the CAO, their parameters and topology of connectivity, is demonstrated.
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