Let C ∞ = C ∪ be the extended complex plane.
We denote by ℂ the open complex plane, by C ˆ ( = C ∪ ) the extended complex plane, and by Ω ( ⊂ C ) an angular domain.
In the Möbius case, recall that the extended complex plane C ̂ is essentially equivalent to the Riemann sphere via stereographic projection.
This unique architecture may lead to new insights not only about the dynamics of the climate system but of other spatially extended complex systems with a large number of degrees of freedom.
This paper deals with the design of an extended complex Kalman filter (ECKF) for estimating the state of an induction motor (IM) model, and for sensorless control of systems employing this type of motor as an actuator.
However, division by zero is defined in some other systems, such as complex analysis, where the extended complex plane, i.e. the Riemann sphere, has a "point at infinity".
These results reveal that complex 1 is a groove-binding molecule in a similar manner to the bpy (2,2′-bipyridine) analogue, [(Ru bpy)2)2(tpphz)]4+, and we conclude it is the greater steric bulk of 2 that inhibits the ability of this complex to associate with DNA through a canonical groove-binding interaction, resulting in a lower DNA binding affinity for the extended complex.
Non-covalent hydrogen bonding interactions extend complexes 1, 2 and 3 into supramolecular architectures.
First approach uses extended complex-valued back-propagation algorithm to train MLP network, whose output's amplitudes are encoded in one-of-N coding.
The non-covalent interactions of hydrogen bond extend complexes 1, 2 and 3 into supramolecular architectures, where 1 exhibits a 3-D framework with 1-D open channels where the guest water molecules are located.
Then it finds overlapped protein complexes extending the initial protein complexes.
