query: How to determine whether critical points (of the lagrangian function) are minima or maxima?
positive_passages.docid: 17406
positive_passages.text: Determine all the extrema of a function subject to a non-linear constraint.
negative_passages.docid: 129765
negative_passages.text: Mean value theorem for the second derivative, when the first derivative is zero at endpoints
negative_passages.docid: 146613
negative_passages.text: Mathematically, how are the critical t values calculated?
negative_passages.docid: 82166
negative_passages.text: How are constraint forces represented in Lagrangian mechanics?
negative_passages.docid: 34750
negative_passages.text: If every point is a local maximum, is it a step function?
negative_passages.docid: 135471
negative_passages.text: In wave motion of a string both kinetic energy and potential energy are minimum at $y=y_\text{max}$ then why does the string come down again?
negative_passages.docid: 18054
negative_passages.text: Is there a proof from the first principle that the Lagrangian L = T - V?
negative_passages.docid: 96382
negative_passages.text: Minimum of the Gamma Function $\Gamma (x)$ for $x>0$. How to find $x_{\min}$?
negative_passages.docid: 27016
negative_passages.text: Is the Lagrangian density a functional or a function?
negative_passages.docid: 85535
negative_passages.text: Finding maximum of $|f'(i)|$
negative_passages.docid: 93314
negative_passages.text: At what point is the curvature of $y=-\ln(x)$ maximal?
negative_passages.docid: 11358
negative_passages.text: Eigenvalues of the Lagrangian?
negative_passages.docid: 34788
negative_passages.text: Lagrangian for relativistic massless point particle
negative_passages.docid: 89379
negative_passages.text: Finding local maximum and minimum
negative_passages.docid: 155655
negative_passages.text: Applying MVT and IVT (?) to show something about f'''? (edit: actually, Taylor's Theorem using Lagrange remainder)
negative_passages.docid: 37424
negative_passages.text: variational question
negative_passages.docid: 126259
negative_passages.text: Minimum of a function on an open interval