■ How to boost your points: Look out for special in-store promotions, where cardholders can collect double, triple or quadruple points.
Discretizing this theoretical framework provides a numerical methodolology which automatically handles multiple junctions, triple points and quadruple points in two dimensions, as well as triple lines, etc. in higher dimensions.
The presence of triple lines and quadruple points changes the equilibrium boundary shapes; this does not affect the pinning forces greatly, whereas the pinning force is a strong function of the particle shape.
Shoot it while it's diving and you get quadruple points.
Hence, there are two quadruple points (marked by arrow) in equilibrium diagram, which feature sharp kicks.
Arrows indicate lower (QL) and upper (QU) quadruple points Table 4 AARD% of hydrate formation temperature predicted by different cubic EOS + mixing rules Equation of state AARD% vdW ANDD GNQ Overall PR 0.224 0.166 0.198 0.194 SRK 0.241 0.214 0.223 0.207 VPT 0.225 0.217 0.254 0.226.
Additionally, the influence of EoSs used for other phases than hydrate on the accuracy of quadruple point predictions is discussed.
This triple junction consists of two intersecting Σ3 twin boundaries with a Σ9 grain boundary and is connected to a quadruple point via the Σ9 grain boundary.
An element (x, y, z, w) is called a quadruple coincidence point of F and g if F ( x, y, z, w ) = g x, F ( y, z, w, x ) = g y, F ( z, w, x, y ) = g z, a n d F ( w, x, y, z ) = g w. (gx, gy, gz, gw) is said a quadruple point of coincidence of F and g.
An element ( x, y, z, w ) is called a quadruple coincidence point of F and g if F ( x, y, z, w ) = g x, F ( y, z, w, x ) = g y, F ( z, w, x, y ) = g z, and F ( w, x, y, z ) = g w. ( g x, g y, g z, g w ) is said to be a quadruple point of coincidence of F and g.
[25] a quadruple coincidence point of F and g if F ( x, y, z, w ) = g x, F ( y, z, w, x ) = g y, F ( z, w, x, y ) = g z and F ( w, x, y, z ) = g w. ( g x, g y, g z, g w ) is said to be a quadruple point of coincidence of F and g. [25] a quadruple common fixed point of F and g if F ( x, y, z, w ) = g x = x, F ( y, z, w, x ) = g y = y, F ( z, w, x, y ) = g z = z and F ( w, x, y, z ) = g w = w.
