例句與造句

1. See Hessian matrix # Bordered Hessian for a discussion that generalizes these rules to the case of equality-constrained optimization.
2. (A ) My confusion is that when I check the second-order condition via the bordered Hessian, I find that these are both local maxima.
3. The second derivative test consists here of sign restrictions of the determinants of a certain set of " n  m " submatrices of the bordered Hessian.
4. Sufficient conditions for a constrained local maximum or minimum can be stated in terms of a sequence of principal minors ( determinants of upper-left-justified sub-matrices ) of the bordered Hessian matrix of second derivatives of the Lagrangian expression.
5. The above rules stating that extrema are characterized ( among critical points with a non-singular Hessian ) by a positive-definite or negative-definite Hessian cannot apply here since a bordered Hessian can neither be negative-definite nor positive-definite, as = 0 if is any vector whose sole non-zero entry is its first.
6. It's difficult to find bordered hessian in a sentence. 用bordered hessian造句挺難的
7. Equivalently, the second-order conditions that are sufficient for a local minimum or maximum can be expressed in terms of the sequence of principal ( upper-leftmost ) minors ( determinants of sub-matrices ) of the Hessian; these conditions are a special case of those given in the next section for bordered Hessians for constrained optimization the case in which the number of constraints is zero.
8. Specifically, sign conditions are imposed on the sequence of principal minors ( determinants of upper-left-justified sub-matrices ) of the bordered Hessian, the smallest minor consisting of the truncated first 2 " m " + 1 rows and columns, the next consisting of the truncated first 2 " m " + 2 rows and columns, and so on, with the last being the entire bordered Hessian.
9. Specifically, sign conditions are imposed on the sequence of principal minors ( determinants of upper-left-justified sub-matrices ) of the bordered Hessian, the smallest minor consisting of the truncated first 2 " m " + 1 rows and columns, the next consisting of the truncated first 2 " m " + 2 rows and columns, and so on, with the last being the entire bordered Hessian.