第116行: |
第116行: |
| 动力系统的状态是由一组实数决定的,更广泛地说,是由适当的状态空间中的一组点决定的。系统状态的微小变化对应于数字的变化。这些数字也是几何空间——'''流形 Manifold'''——的坐标组。动力系统的演化规律是一种固定的规则,它描述了从当前状态得出的未来状态。这个规则可以是确定性的(在给定的时间间隔内,有且仅有一个未来状态在当前状态之后出现),或随机性的(状态的演化受到随机因素的影响)。 | | 动力系统的状态是由一组实数决定的,更广泛地说,是由适当的状态空间中的一组点决定的。系统状态的微小变化对应于数字的变化。这些数字也是几何空间——'''流形 Manifold'''——的坐标组。动力系统的演化规律是一种固定的规则,它描述了从当前状态得出的未来状态。这个规则可以是确定性的(在给定的时间间隔内,有且仅有一个未来状态在当前状态之后出现),或随机性的(状态的演化受到随机因素的影响)。 |
| | | |
− | === Dynamicism 动态主义 0713 here=== | + | === Dynamicism 动态主义 === |
| | | |
| [[Dynamicism]], also termed the ''dynamic hypothesis'' or the ''dynamic hypothesis in cognitive science'' or ''dynamic cognition'', is a new approach in [[cognitive science]] exemplified by the work of philosopher [[Tim van Gelder]]. It argues that [[differential equations]] are more suited to modelling [[cognition]] than more traditional [[computer]] models. | | [[Dynamicism]], also termed the ''dynamic hypothesis'' or the ''dynamic hypothesis in cognitive science'' or ''dynamic cognition'', is a new approach in [[cognitive science]] exemplified by the work of philosopher [[Tim van Gelder]]. It argues that [[differential equations]] are more suited to modelling [[cognition]] than more traditional [[computer]] models. |
第122行: |
第122行: |
| Dynamicism, also termed the dynamic hypothesis or the dynamic hypothesis in cognitive science or dynamic cognition, is a new approach in cognitive science exemplified by the work of philosopher Tim van Gelder. It argues that differential equations are more suited to modelling cognition than more traditional computer models. | | Dynamicism, also termed the dynamic hypothesis or the dynamic hypothesis in cognitive science or dynamic cognition, is a new approach in cognitive science exemplified by the work of philosopher Tim van Gelder. It argues that differential equations are more suited to modelling cognition than more traditional computer models. |
| | | |
− | '''动态主义 Dynamicism''',也称动态假设,<font color='red'>或称认知科学、动态认知中的动态假设,</font><font color='blue'>或称认知科学的动态假设或动态认知,</font>是以哲学家Tim van Gelder的著作为代表的认知科学的一种新取向。动态主义认为微分方程比传统的计算机模型更适合于建立认知模型。 | + | '''动态主义 Dynamicism''',也称动态假设,或称认知科学的动态假设或动态认知,是以哲学家Tim van Gelder的著作为代表的认知科学的一种新取向。动态主义认为微分方程比传统的计算机模型更适合于建立认知模型。 |
| | | |
| | | |
第134行: |
第134行: |
| In mathematics, a nonlinear system is a system that is not linear—i.e., a system that does not satisfy the superposition principle. Less technically, a nonlinear system is any problem where the variable(s) to solve for cannot be written as a linear sum of independent components. A nonhomogeneous system, which is linear apart from the presence of a function of the independent variables, is nonlinear according to a strict definition, but such systems are usually studied alongside linear systems, because they can be transformed to a linear system as long as a particular solution is known. | | In mathematics, a nonlinear system is a system that is not linear—i.e., a system that does not satisfy the superposition principle. Less technically, a nonlinear system is any problem where the variable(s) to solve for cannot be written as a linear sum of independent components. A nonhomogeneous system, which is linear apart from the presence of a function of the independent variables, is nonlinear according to a strict definition, but such systems are usually studied alongside linear systems, because they can be transformed to a linear system as long as a particular solution is known. |
| | | |
− | 在数学中,'''非线性系统 Nonlinear System'''是指系统不是线性的——也就是说,一个不满足叠加原理的系统。更通俗地说,非线性系统是待求解变量不能被写成其独立分量的线性和的系统。非齐次系统根据定义严格来说是非线性的,除了它的自变量<font color='red'><s>包含</s></font>函数以外其他部分都是线性的。<font color='red'>但非齐次系统通常与线性系统一起研究,因为只要知道特解,它们就可以转化为线性系统。</font><font color='blue'>但非齐次系统通常可当做线性系统进行研究,因为只要知道特定解,它就可以转化为线性系统。</font> | + | 在数学中,'''非线性系统 Nonlinear System'''是指系统不是线性的——也就是说,一个不满足叠加原理的系统。更通俗地说,非线性系统是待求解变量不能被写成其独立分量的线性和的系统。非齐次系统根据定义严格来说是非线性的,除了它的自变量函数以外,其他部分都是线性的。但非齐次系统通常可当做线性系统进行研究,因为只要知道特定解,它就可以转化为线性系统。 |
| | | |
| == Related fields 相关领域== | | == Related fields 相关领域== |