Is being perfectly symmetric optimal?
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Being perfectly symmetric is not always optimal. In physics, symmetry is a key element in classical and modern physics, as well as in statistics, providing models for real-world phenomena . However, in the study of optimal codes in compact metric spaces, explicit predictions suggest that optimal codes may exhibit symmetry . In the field of structural optimization, under certain assumptions, symmetric global optimal solutions exist for convex problems with symmetric loading and support conditions . Therefore, while symmetry can be advantageous in certain contexts, it is not universally optimal and depends on the specific problem being considered.
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| Papers (4) | Insight |
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Open access•Posted Content | The paper does not directly address the question of whether being perfectly symmetric is optimal. The paper discusses the symmetry of optimal codes in compact metric spaces but does not specifically mention perfect symmetry. |
9 Citations | The answer to the query is not explicitly mentioned in the paper. The paper discusses the imperfection sensitivity of optimal symmetric frames, but it does not specifically address whether being perfectly symmetric is optimal. |
Open access•Posted Content | The paper does not directly address the question of whether being perfectly symmetric is optimal. The paper discusses the principles of sufficiency, conditionality, and invariance in statistics, but does not specifically discuss the optimality of symmetry. |
99 Citations | The paper does not explicitly mention whether being perfectly symmetric is optimal or not. |
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