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In mathematics, Serre's modularity conjecture, introduced by Jean-Pierre Serre (1975, 1987), states that an odd, irreducible, two-dimensional Galois representation over a finite field arises from a modular form. A stronger version of this conjecture specifies the weight and level of the modular form.
Users of Department of Defense's TRICARE Online can use the Blue Button to download their medications, allergies, and lab results as a PDF or text file. [23] Organizations like Medicare or Aetna offer health claims information as a downloadable text file. Using Blue Button, patients have an easy way to retrieve and keep track of their health.
The AMA supported the Medicare Access and CHIP Reauthorization Act of 2015, which introduced Medicare reforms and replaced the SGR formula with increased Medicare physician reimbursement. [88] The AMA opposed Republicans' proposed repeal of the Affordable Care Act in March 2017, saying millions of Americans would lose health care coverage. [89]
The character carries the essential information about the representation in a more condensed form. Georg Frobenius initially developed representation theory of finite groups entirely based on the characters, and without any explicit matrix realization of representations themselves.
The image of g, under the representation ρ, is a homothety. Let ζ be the complex number χ ( g )/ n . It is an algebraic integer, so its norm N ( ζ ) (i.e. the product of its conjugates , that is the roots of its minimal polynomial over Q {\displaystyle \mathbb {Q} } ) is a nonzero integer.
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In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducting.It can be used to leverage knowledge about representations of a subgroup to find and classify representations of "large" groups that contain them.
The representation theorem for the continuous dual of C 0 (X [ edit ] The following representation, also referred to as the Riesz–Markov theorem , gives a concrete realisation of the topological dual space of C 0 ( X ) , the set of continuous functions on X which vanish at infinity .