# symmetry

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**Symmetry breaking**— in physics describes a phenomenon where (infinitesimally) small fluctuations acting on a system crossing a critical point decide a system s fate, by determining which branch of a bifurcation is taken. For an outside observer unaware of the… …32

**Symmetry breaking in herding behaviour**— Symmetry breaking in herding behaviorAsymmetric aggregation of animals under panic conditions has been observed in many species, including humans, mice, and ants. Theoretical models have demonstrated symmetry breaking similar to observations in… …33

**symmetry ratio**— symmetry ratio. См. отношения симметрии. (Источник: «Англо русский толковый словарь генетических терминов». Арефьев В.А., Лисовенко Л.А., Москва: Изд во ВНИРО, 1995 г.) …34

**Symmetry group**— Not to be confused with Symmetric group. This article is about the abstract algebraic structures. For other meanings, see Symmetry group (disambiguation). A tetrahedron can be placed in 12 distinct positions by rotation alone. These are… …35

**Symmetry in biology**— For other uses, see Symmetry (disambiguation) and Bilateral (disambiguation). Bilateral symmetry redirects here. For bilateral symmetry in mathematics, see reflection symmetry. The elaborate patterns on the wings of butterflies are one example of …36

**Symmetry combinations**— This article discusses various symmetry combinations.In 2D, mirror image symmetry in combination with n fold rotational symmetry, with the center of rotational symmetry on the line of symmetry, implies mirror image symmetry with respect to lines… …37

**Symmetry (biology)**— Bilateral symmetry redirects here. For bilateral symmetry in mathematics, see reflection symmetry. Symmetry in biology is the balanced distribution of duplicate body parts or shapes. The body plans of most multicellular organisms exhibit some… …38

**Symmetry in mathematics**— For other uses, see Symmetry (disambiguation) and Bilateral (disambiguation). Symmetry occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change… …39

**Symmetry of second derivatives**— In mathematics, the symmetry of second derivatives (also called the equality of mixed partials) refers to the possibility of interchanging the order of taking partial derivatives of a function of n variables. If the partial derivative with… …40

**Symmetry set**— In geometry, the symmetry set is a method for representing the local symmetries of a curve, and can be used as a method for representing the shape of objects by finding the topological skeleton. The medial axis, a subset of the symmetry set is a… …