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V is a Hilbert–Schmidt operator, hence in particular is compact. [2] V has no eigenvalues and therefore, by the spectral theory of compact operators, its spectrum σ(V) = {0}. [2] [3] V is a quasinilpotent operator (that is, the spectral radius, ρ(V), is zero), but it is not nilpotent operator. The operator norm of V is exactly ||V|| = 2 ...
Unprimed quantities refer to position, velocity and acceleration in one frame F; primed quantities refer to position, velocity and acceleration in another frame F' moving at translational velocity V or angular velocity Ω relative to F. Conversely F moves at velocity (—V or —Ω) relative to F'. The situation is similar for relative ...
Cauchy's functional equation is the functional equation: (+) = + (). A function that solves this equation is called an additive function.Over the rational numbers, it can be shown using elementary algebra that there is a single family of solutions, namely : for any rational constant .
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Selling a home requires you to navigate a fluctuating real estate market — and if you happen to sell when supply outpaces demand, you may get much less for your home than you were expecting.
A 96-year-old was given a three-day eviction notice from the establishment she has lived in for two decades. Jean Jacques has lived at the Pacific Grove Senior Living in California, USA, for 22 ...
The groups T and V are (rare) examples of infinite but finitely-presented simple groups. The group F is not simple but its derived subgroup [F,F] is and the quotient of F by its derived subgroup is the free abelian group of rank 2. F is totally ordered, has exponential growth, and does not contain a subgroup isomorphic to the free group of rank 2.
From January 2008 to December 2012, if you bought shares in companies when Ronald W. Allen joined the board, and sold them when he left, you would have a 18.0 percent return on your investment, compared to a -2.8 percent return from the S&P 500.