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I must confess I have never encountered the usage of breaking down symmetry in the meaning that you state that you have encountered. In all my education, the following have exclusive meanings breaking symmetry breaking down symmetry reducing/increasing symmetry The basis of symmetry is orthogonality, or at least presumed orthogonality. Orthogonality ...


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You might watch this video, a TED Talk by physicist Garret Lisi, about higher dimensional geometry and how patterns that have some sense of balance are related to symmetry (see starting at 8:30 if you want to jump right into it.) For a non-physics example, Sven Yargs illustrated his answer with several examples: In one, Herbert Spencer referred to his ...


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From a quick Google Books search for "symmetry breaks down" and "symmetry broke down," I get the impression that these phrases have had a life of their own in logic, biology, and even political planning independent of (and perhaps antedating) their meaning in physics. The earliest instance that a quick Google Books search for "symmetry breaks down" and ...


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No. Precede means that one thing comes before another in order, space, or time. So one might say that the marching band precedes the horse guards in a parade, if the band is placed ahead of the horses. One might also say that in the English alphabet L precedes M, and that sunrise precedes noon. By contrast, "precedence" usually refers (as your dictionary ...


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You in fact, when we replace we are in favor of one thing or person, we are FOR another thing ou person. Each verb conveys or carries a subtle meaning. The fact of its being transitive and intransitive, or only transitive, or only intransitive makes a difference. The coach replaced John for another player. (active voice) John was replaced by the coach ...



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