Daniel, Sydney D. (LaGrange, GA, US) Oakey, David D. (LaGrange, GA, US) Application Number: 11/433977 Publication Date: 10/13/2009 Filing Date: 05/15/2006 Export Citation: Click for automatic bibliography generation Assignee: Interface, Inc. (Atlanta, GA, US) Primary...
Daniel, Sydney D. (LaGrange, GA, US) Oakey, David D. (LaGrange, GA, US) Application Number: 10/135913 Publication Date: 01/11/2005 Filing Date: 04/30/2002 Export Citation: Click for automatic bibliography generation Assignee: Interface, Inc. (Atlanta, GA, US) Primary...
By the usual calculus of variation, a saddle point is nec- essarily a solution of the Euler–Lagrange equation corre- sponding to the energy DEtotal: ax o2g ox2 þ ay o2g oy2 ¼ o og df ðgÞ þ b ð2pÞd Z X^ BðnÞð^gðkÞ À ^g0ðkÞÞei...
Birch (Lagrange) [58] E=E0+BV0C−BVoν23((C−2)(1−ν23)2+C(1−ν23)+C)𝐸subscript𝐸0𝐵subscript𝑉0𝐶𝐵subscript𝑉𝑜superscript𝜈23𝐶2superscript1superscript𝜈232𝐶1superscript𝜈23𝐶E=E_{0}+BV_{0}C-BV_{o}\nu^{\frac{2}{...
The above equation can be solved while using the Lagrange multiplier method. CSP is known to be highly sensitive to noise and performs poorly under small sample settings, thus a regularized version has been developed [31]. There are two ways to regularize the CSP algorithm (also known as ...
According to this technique, the sum of the Fourier-transformed spline functions whose oscillations are restricted by Lagrange multipliers (λL) yield an approximate scattering curve. This analysis yields the pair distance distribution function, p(r). It directly yields the probability of finding a ...