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== Fields and groups == ...[[multiplying]], and [[Division (mathematics)|dividing]]. Groups are like fields, but with only one operation, often called addition (subtraction is conside ...

...o-dimensional surface. Given a surface, one may integrate over its scalar fields (that is, [[function (mathematics)|function]]s which return [[number]]s as ...s have applications in [[physics]], particularly in the classical theories of [[electromagnetism]] and [[fluid mechanics]]. ...

'''Energy level''' is simply defined as the different states of [[potential energy]] for [[Electron|electrons]] in an [[atom]]. A [[Quantum ...overview over the most important factors that determine the energy levels of atoms and molecules. ...

...actly what that connection is; for some, trigonometry is just a section of geometry. ...ses a large number of specific words to describe parts of a triangle. Some of the definitions in trigonometry are: ...

...sed with [[mass]]. The volume of a mountain is much larger than the volume of a rock, for instance. * The [[width]] (or breadth) refers to the size of the object in a direction perpendicular to its length. ...

...rs), 3rd century BC, as imagined by Raphael in this detail from the School of Athens (1509–1511)]] '''Mathematics''' is the study of [[number|numeral]]s, [[shape]]s, and [[pattern]]s. The word comes from the ...

...ometry]], meaning that the [[parallel postulate]] that defines [[Euclidean geometry]] isn't true. On a [[Hyperbola|hyperbolic]] plane, lines that started out p ...rule means that hyperbolic geometry is different from ordinary flat plane geometry. For example, [[triangle]]s will have angles that add up to less than 180 d ...

...t|thumb|290x290px|A [[Vibration|vibrating]] glass beam showing the bending of beams which can be [[estimated]] using Euler-Bernoulli's beam theory.]] ...eloped]], the Euler-Bernoulli beam [[theory]] is still widely used because of its simplicity.  ...