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Splitting field
Splitting field In abstract algebra, the splitting field of a polynomial P(X) over a given field K is a field extension L ...
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Talk:Splitting field
Talk:Splitting field from Splitting Feild Splitting Feild : Definition Let F be any field, and f be a monic polynomial ...
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Crystal field theory
Crystal field theory Crystal field theory is used to describe the electronic ... provide an adequate description of bonding. Crystal field theory was developed by the physicists Hans ... with molecular orbital theory to form ligand field theory, which delivers insight into the process ... bonding in transition metal complexes. In crystal field theory the metal ion is assumed ...
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Heegaard splitting
Heegaard splitting In mathematics, in the sub-field of geometric topology, a Heegaard splitting is a special structure on a 3 ... into two handlebodies is called a Heegaard splitting, and their common boundary is called the Heegaard surface of the splitting. Splittings are only considered up to ...
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Quadratic field
Quadratic field In mathematics, a quadratic field is a field extension K/Q of the form |
Field norm
Field norm In mathematics, the (field) norm is a mapping defined in field theory, to map elements of a larger field into a smaller one. An example is ... 2 . In general if K is a field and L a Galois extension of ...
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Construction of splitting fields
Construction of splitting fields In mathematics, a splitting field of an polynomial with coefficients in a field is an extension of that field over which the polynomial factors into ...
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Energy level splitting
Energy level splitting Energy level splitting occurs in physics when the degenerate energy ... or molecules. Examples The Zeeman effect - the splitting of electronic levels in an atom because of an external magnetic field. The Stark effect - splitting because of an external electric field. ...
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Ligand field theory
Ligand field theory Ligand field theory was developed during the thirties and ... as an expansion of the electrostatic crystal field theory, which offered a good description of ... bonding. It was created by combining crystal field theory with molecular orbital theory. Ligand field theory in octahedral complexes Like crystal ...
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Category:Field theory
Category:Field theory Field theory is a branch of mathematics which ... of fields. Read the main article about Field theory... Subcategories There are 3 subcategories to this category. F Formally real field G Galois theory R Real closed field Pages in category "Field theory" There ...
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