What is true? (Multiple answers possible, at least 1 correct.)

Question

BlackTom AI · Accepted Answer

To tackle the question, we'll evaluate each option in light of Langton's parameter and its relationship to cellular automata behavior.
Option 1: 'Langton parameter cannot be computed of just the state transition table; it needs to be computed from the entire evolution of system states over time.' This statement aligns with the practical understanding that Langton's parameter involves long-term dynamical behavior, which typically requires observing or aggregating information from the evolution rather than gleaning it from a single state transition table snapshot. The parameter is tied to the balance of rule outcomes and how patterns evolve, which emerges over time rather than being evident from an isolated transition map alone.
Option 2: 'Langton parameter is intended to \'index\' into the space of all rules, predicting essentially which Wolfram class of behavior will be exhibited without actually simulating the rule's long-term behavior.' This matches the conceptual aim of Langton’s work: to characterize rules by a single parameter that correlates with broad behavioral classes (Wolfram classes) and to provide insight without full long-term simulation. The idea is that the parameter serves as a heuristic index across rule space, not a guarantee, but a predictive ordering based on rule form.
Option 3: 'A rule uniquely identifies a Langton parameter value, and vice versa, a Langton parameter value uniquely identifies a rule number.' This is an overstatement. In practice, many different rules can yield similar or identical Langton parameter values, and the parameter is a coarse descriptor of dynamical behavior, not a one-to-one mapping to a specific rule number. Therefore, this claim is incorrect because it ignores the non-unique, probabilistic, or approximate relationship between rules and parameter values.
Option 4: 'The Langton parameter correlates with the transient length (not necessarily a linear correlation).' This statement captures a nuance observed in studies of Langton's parameter: the transient length before reaching repeating or stable behavior can be related to the parameter, and the relationship is not guaranteed to be linear. This reflects the complex, non-linear nature of how initial transients scale with rule properties, making the correlation non-simple and context-dependent.

5284COSS6Y Short optional quiz CA

What is true? (Multiple answers possible, at least 1 correct.)

查看解析

登录即可查看完整答案

类似问题

Who invented the Game of life in 1970?

The ‘Game of Life’ was invented in 1970, and models a scenario related to evolution. Which one of the following statements best describes the central point of the game?

For each emergent behavior (such as phase transitions, chaos, bifurcations, multistability, etc.) which is implementable by a computer algorithm, there exists at least one elementary CA which is capable of exhibiting this emergent behavior.

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单