Symmetry occurs not only in geometry, but also in other branches of mathematics. Symmetry is a type of invariance: the property that a mathematical object...

In mathematics, any Lagrangian system generally admits gauge symmetries, though it may happen that they are trivial. In theoretical physics, the notion...

article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature;...

rigorously. Today, mirror symmetry is a major research topic in pure mathematics, and mathematicians are working to develop a mathematical understanding of the...

In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure...

mirror symmetry, a mathematical conjecture about Calabi–Yau manifolds made by Maxim Kontsevich Mirror symmetry conjecture, a mathematical conjecture about...

contribute to the symmetry number. Group theory, a branch of mathematics which discusses symmetry, symmetry groups, symmetry spaces, symmetry operations Point...

symmetry. Symmetries in mathematics greatly simplify the study of geometrical or analytical objects. A group is said to act on another mathematical object...

Time-translation symmetry or temporal translation symmetry (TTS) is a mathematical transformation in physics that moves the times of events through a...

The symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under...

In mathematics and geometry, a discrete symmetry is a symmetry that describes non-continuous changes in a system. For example, a square possesses discrete...

as dilation). Dilatations can form part of a larger conformal symmetry. In mathematics, scale invariance usually refers to an invariance of individual...

Foundation. Commutative property – Property of some mathematical operations Symmetry in mathematics Symmetry – Mathematical invariance under transformations...

In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to discrete symmetry...

In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object...

beautiful. Mathematically, the symmetries of an object form a group known as the symmetry group. For example, the group underlying mirror symmetry is the...

Homological mirror symmetry is a mathematical conjecture made by Maxim Kontsevich. It seeks a systematic mathematical explanation for a phenomenon called...

electron. Percent sign Plus–minus sign Positive element Signedness Symmetry in mathematics Weisstein, Eric W. "Sign". mathworld.wolfram.com. Retrieved 2020-08-26...

In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged after operations or transformations...

transformations as elements of a mathematical group. In physics, groups are important because they describe the symmetries which the laws of physics seem...

gauge symmetry. In mathematics theory means a mathematical theory, encapsulating the general study of a collection of concepts or phenomena, whereas in the...

In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation (without rotation). Discrete...

Standard Model (mathematical formulation) Symmetry breaking Symmetry in physics Charge (physics) Symmetry in quantum mechanics Fock symmetry Ward identities...

In mathematics, and especially in geometry, an object has icosahedral symmetry if it has the same symmetries as a regular icosahedron. Examples of other...

symmetry has all cyclic symmetry, Zn as subgroup symmetries. Reflective circular symmetry has all dihedral symmetry, Dihn as subgroup symmetries. In 3-dimensions...

Look up symmetry in Wiktionary, the free dictionary. Symmetry may refer to: Generally: Symmetry, the broad concept In mathematics, science and technology:...

anticommutative operation is the Lie bracket. In mathematical physics, where symmetry is of central importance, or even just in multilinear algebra these operations...

dihedral symmetry (a 90° rotational symmetry, which also includes a symmetry on both orthogonal axis, 180° rotational symmetry, and diagonal symmetry) is known...

Unsolved problem in mathematics What is the maximum possible kissing number for n-dimensional spheres in (n + 1)-dimensional Euclidean space? More unsolved...

In mathematics, a symmetry operation is a geometric transformation of an object that leaves the object looking the same after it has been carried out....