Symmetry

•  Automorphism

  In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group. It is, loosely speaking, the symmetry group of the object.

  

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•  Conservation law

  In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves. One particularly important physical result concerning conservation laws is Noether's Theorem, which states that there is a one-to-one correspondence between conservation laws and differentiable symmetries of physical systems.

  

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•  Lie group

  Lie groups File:E8PetrieFull.

  

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•  Group (mathematics)

  In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element. To qualify as a group, the set and the operation must satisfy a few conditions called group axioms, namely closure, associativity, identity and invertibility.

  

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•  Symmetry group

  The symmetry group of an object is the group of all isometries under which it is invariant with composition as the operation. It is a subgroup of the isometry group of the space concerned. If not stated otherwise, this article considers symmetry groups in Euclidean geometry, but the concept may also be studied in wider contexts; see below.

  

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•  Self-similarity

  In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e. the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines, are statistically self-similar: parts of them show the same statistical properties at many scales. Self-similarity is a typical property of fractals.

  

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•  Symmetric group

  In mathematics, the symmetric group on a set is the group consisting of all bijections of the set with function composition as the group operation. The symmetric group is important to diverse areas of mathematics such as Galois theory, invariant theory, the representation theory of Lie groups, and combinatorics. Cayley's theorem states that every group G is isomorphic to a subgroup of the symmetric group on G.

  

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•  Noether's theorem

  Noether's (first) theorem states that any differentiable symmetry of the action of a physical system has a corresponding conservation law. The theorem was proved by Emmy Noether in 1915 and published in 1918. The action of a physical system is the integral over time of a Lagrangian function (which may or may not be an integral over space of a Lagrangian density function), from which the system's behavior can be determined by the principle of least action.

  

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•  C-symmetry

  In physics, C-symmetry means the symmetry of physical laws under a charge-conjugation transformation. Electromagnetism, gravity and the strong interaction all obey C-symmetry, but weak interactions violate C-symmetry maximally.

  

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•  T-symmetry

  T Symmetry is the symmetry of physical laws under a time reversal transformation: Although in restricted contexts one may find this symmetry, the observable universe itself does not show symmetry under time reversal, primarily due to the second law of thermodynamics. Time asymmetries are generally distinguished as either those which are intrinsic to the dynamic laws of nature, and those that are due to the initial conditions of our universe.

  

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•  Saliva

  Saliva (also referred to as spit, spittle or slobber) is the watery and usually frothy substance produced in the mouths of humans and most other animals. Saliva is produced in and secreted from the salivary glands. Human saliva is composed of 98% water, while the other 2% consists of other compounds such as electrolytes, mucus, antibacterial compounds, and various enzymes.

  

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•  Primate of Ireland

  Primaz da Irlanda é um título conferido aos Arcebispos de Dublin, tanto católicos quanto anglicanos. Todavia, isto não indica que o arcebispo é o clérigo mais proeminente de sua denominação cristã na Irlanda, mas apenas o segundo na hierarquia, visto que em ambas as denominações a figura mais importante é a dos Arcebispos de Armagh, que também ostentam simultaneamente o título de Primaz de Toda Irlanda.

  

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•  Speaker of the Canadian House of Commons

  Speaker of the Canadian House of Commons is the presiding officer of the lower house and is elected at the beginning of each new parliament by fellow MPs. The Speaker's role in presiding over Canada's House of Commons is similar to that of Speakers elsewhere in other countries that use the Westminster system. The current Speaker is Ontario Liberal MP Peter Milliken.

  

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•  U.S. Route 211

  U.S. Route 211 is a U.S. Highway in the U.S. state of Virginia, forming a spur of U.S. Route 11. It runs from Interstate 81 and State Route 211 in New Market, just west of US 11, east through Thornton Gap over the Blue Ridge Mountains to U.S. Route 15 Business, U.S. Route 29 Business, and U.S. Route 211 Business in Warrenton. US 211 used to continue east along U.S. Route 29 from Warrenton to a terminus in the District of Columbia.

  

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•  Schoeppenstedt (Samtgemeinde)

  

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