Sentence examples for extended complex from inspiring English sources

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 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.

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.

The fixed points of automorphisms and anti-automorphisms of the extended complex plane have especially been of great interest in many fields of mathematics, for example, in number theory, functional analysis, theory of complex functions, geometry and group theory (see [1 5] and references therein).

First approach uses extended complex-valued back-propagation algorithm to train MLP network, whose output's amplitudes are encoded in one-of-N coding.

Non-covalent hydrogen bonding interactions extend complexes 1, 2 and 3 into supramolecular architectures.

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.

But having extended and complex conversations during toddlerhood does.

A company usually has 120 days to offer a plan, but the period can be extended for complex cases.