B Linear Algebra: Matrices
... in which x1 = x11 , x2 = x22 and x3 = x33 . Are x and X the same thing? If so we could treat column vectors as one-column matrices and dispense with the distinction. Indeed in many contexts a column vector of order n may be treated as a matrix with a single column, i.e., as a matrix of order n × 1. ...
... in which x1 = x11 , x2 = x22 and x3 = x33 . Are x and X the same thing? If so we could treat column vectors as one-column matrices and dispense with the distinction. Indeed in many contexts a column vector of order n may be treated as a matrix with a single column, i.e., as a matrix of order n × 1. ...
Multivariate CLT follows from strong Rayleigh property
... polynomial provided that each N (Bj ) is bounded; this follows, for example from the determinantal form of the generating function given in [Sos00, Theorem 2] together with with [BBL09, Proposition 3.2]. Boundedness is not an overly restrictive assumption because under finiteness of the means EN (Bj ...
... polynomial provided that each N (Bj ) is bounded; this follows, for example from the determinantal form of the generating function given in [Sos00, Theorem 2] together with with [BBL09, Proposition 3.2]. Boundedness is not an overly restrictive assumption because under finiteness of the means EN (Bj ...
Matlab Reference
... any True if any element of vector is true. exist Check if variables or functions exist. find Find indices of nonzero elements. finite True for finite elements. isempty True for empty matrix. ishold True if hold is on. isieee True for IEEE floating-point arithmetic. isinf True for infinite elements. ...
... any True if any element of vector is true. exist Check if variables or functions exist. find Find indices of nonzero elements. finite True for finite elements. isempty True for empty matrix. ishold True if hold is on. isieee True for IEEE floating-point arithmetic. isinf True for infinite elements. ...
RT -symmetric Laplace operators on star graphs: real spectrum and self-adjointness
... polynomial in k of degree at most rank B. If q ≡ 0, then any k with Im k > 0 gives an eigenvalue k 2 and as a result the spectrum is the whole complex plane. Otherwise q has at most rank B zeros. Suppose now that each eigenvalue has multiplicity 1, then if rank B 6= N , the operator will have less t ...
... polynomial in k of degree at most rank B. If q ≡ 0, then any k with Im k > 0 gives an eigenvalue k 2 and as a result the spectrum is the whole complex plane. Otherwise q has at most rank B zeros. Suppose now that each eigenvalue has multiplicity 1, then if rank B 6= N , the operator will have less t ...
