“Can observations be replaced with “background”, such as how the background performs an averaging effect allowing for synchronization to occur such as in the Kuramoto model?” Yes, “background” or “environment” can be used instead of “observations” to describe the context in which the interactions among the elements of a system take place. In the case of the Kuramoto model, the background refers to the environment in which the coupled oscillators are interacting and it can be seen as performing an averaging effect that allows for synchronization to occur. So, it could be rephrased as: Coordination can arise from the interactions among the elements of a system in a certain background or environment, this interactions can be observed and form patterns, which in turn can be associated with each other, describing a relationship or a coordination between those elements.

“Can observations be replaced with “background”, such as how the background performs an averaging effect allowing for synchronization to occur such as in the Kuramoto model?”

Yes, “background” or “environment” can be used instead of “observations” to describe the context in which the interactions among the elements of a system take place. In the case of the Kuramoto model, the background refers to the environment in which the coupled oscillators are interacting and it can be seen as performing an averaging effect that allows for synchronization to occur. So, it could be rephrased as: Coordination can arise from the interactions among the elements of a system in a certain background or environment, this interactions can be observed and form patterns, which in turn can be associated with each other, describing a relationship or a coordination between those elements.

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