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Since 2010, Emirates is the largest Boeing 777 operator, with 152 aircraft; [17] the carrier began phasing out older −200s, −200ERs and −300s in February 2011, [18]. Other primary operators are United Airlines (96), Qatar Airways (81), Air France (70), American Airlines (67), and Cathay Pacific (65). As of November 2011, 62 airline ...
The semantics of operators particularly depends on value, evaluation strategy, and argument passing mode (such as Boolean short-circuiting). Simply, an expression involving an operator is evaluated in some way, and the resulting value may be just a value (an r-value), or may be an object allowing assignment (an l-value).
A bounded linear operator T : X → Y is called completely continuous if, for every weakly convergent sequence from X, the sequence () is norm-convergent in Y (Conway 1985, §VI.3). Compact operators on a Banach space are always completely continuous.
A linear operator : between two topological vector spaces (TVSs) is called a bounded linear operator or just bounded if whenever is bounded in then () is bounded in . A subset of a TVS is called bounded (or more precisely, von Neumann bounded ) if every neighborhood of the origin absorbs it.
The derivation in three dimensions is the same, except the gradient operator del is used instead of one partial derivative. In three dimensions, the plane wave solution to Schrödinger's equation is: = and the gradient is = + + = (+ +) = where e x, e y, and e z are the unit vectors for the three spatial dimensions, hence ^ =
In mathematics, a self-adjoint operator on a complex vector space V with inner product , is a linear map A (from V to itself) that is its own adjoint.If V is finite-dimensional with a given orthonormal basis, this is equivalent to the condition that the matrix of A is a Hermitian matrix, i.e., equal to its conjugate transpose A ∗.
Recreation is any human activity done for pleasure (or "play") during leisure time as opposed to those activities that are necessary for survival.Historically, this means that recreation only existed after human society reached the stage where leisure time existed, perhaps during the late stone age (Upper Paleolithic), as shown by the first appearance of cave paintings and musical instruments.
Recall that a density operator is a non-negative operator on a Hilbert space with unit trace. Mathematically, a quantum operation is a linear map Φ between spaces of trace class operators on Hilbert spaces H and G such that If S is a density operator, Tr(Φ(S)) ≤ 1.