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In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a generalisation of the set of eigenvalues of a matrix.
It seeks to bring international strengths into the United States, translating non-English math textbooks for English students and sponsoring international conferences on the subject of math education. Launched in 1983 with the aid of a six-year grant from Amoco, [1] the UCSMP is used throughout the United States.
A pair of graphs are said to be cospectral mates if they have the same spectrum, but are non-isomorphic. The smallest pair of cospectral mates is {K 1,4, C 4 ∪ K 1}, comprising the 5-vertex star and the graph union of the 4-vertex cycle and the single-vertex graph. [1]
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The International Fixed Calendar (also known as the Cotsworth plan, the Cotsworth calendar, the Eastman plan or the Yearal) [1] was a proposed reform of the Gregorian calendar designed by Moses B. Cotsworth, first presented in 1902. [2] The International Fixed Calendar divides the year into 13 months of 28 days each.
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In commutative algebra, the prime spectrum (or simply the spectrum) of a commutative ring is the set of all prime ideals of , and is usually denoted by ; [1] in algebraic geometry it is simultaneously a topological space equipped with the sheaf of rings.
An example of an observable whose spectrum is purely absolutely continuous is the position operator of a free particle moving on the entire real line. Also, since the momentum operator is unitarily equivalent to the position operator, via the Fourier transform , it has a purely absolutely continuous spectrum as well.
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