On the other hand, any torsion-free affine connection (tilde{nabla }) always has a dual connection given by begin{aligned} tilde{nabla }+tilde{nabla }^=2tilde{nabla }^{0}, end{aligned} (2.2 where (tilde{nabla }^{0}) is Levi-Civita connection on (tilde{M}^{n+k}).
Experimental results show that all experimented specimens sustained the interstory drift angle greater than 0.08 rad without any significant loss of strength, which is far in excess of the requirements for a beam-to-column connection given by the latest seismic codes.
Internal steady state connectivity parameters are stored in matrix A, modulatory effects on these connections given stimulus u j are described by matrix B, and matrix C represents the direct influence of a stimulus on a given ROI.
A more informative measure of the structure of connections is given by the degree that counts the number of connections that a sector has with its immediate neighbors (Newman 2010).
Similarly, bidirectional connection probability as a function of distance was calculated by dividing the existing number of bidirectional connections by the number of all possible connections given a distance.
Making use of Weyl (1923a, 124 125) shows that the conformal structure supplemented with the structure of a length connection or gauge field \(A_{j}(x)\) singles out a unique connection from the equivalence class \(K = [\Gamma]\) of conformally equivalent connections.[48] This unique connection, which is called the Weyl connection, is given by which is analogous to (14).
Under a conformal transformation the change of the components of the symmetric linear connection is given by (14), that is, The use of clocks and rigid rods is, within the context of either theory, an undesirable makeshift for two reasons.
We combined the connection probabilities given by Binzegger et al. (2004) with axonal arborisation radii measured in macaque visual cortex (Blasdel et al. 1985; Fitzpatrick et al. 1985), and use a Gaussian kernel as suggested by the data from Hellwig (2000) as the decay in connection probability away from the soma.
Within a given village, the senior title, as determined by mythological connections, gave its holder the position of chief.
"The poncey way some curators try to demonstrate their 'vision' by highlighting connections gives me the collywobbles".
