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Register subclass as a “virtual subclass” of this ABC. For example:

Changed in version 3.3: Returns the registered subclass, to allow usage as a class decorator.

Changed in version 3.4: To detect calls to , you can use the function.

You can also override this method in an abstract base class:

(Must be defined as a class method.)

Check whether subclass is considered a subclass of this ABC. This means that you can customize the behavior of issubclass further without the need to call register() on every class you want to consider a subclass of the ABC. (This class method is called from the __subclasscheck__() method of the ABC.)

This method should return True , False or NotImplemented . If it returns True , the subclass is considered a subclass of this ABC. If it returns False , the subclass is not considered a subclass of this ABC, even if it would normally be one. If it returns NotImplemented , the subclass check is continued with the usual mechanism.

For a demonstration of these concepts, look at this example ABC definition:

The ABC MyIterable defines the standard iterable method, Feetback Mens LaceUp shoes Jomos DJ8Lt0ZDt0
, as an abstract method. The implementation given here can still be called from subclasses. The get_iterator() method is also part of the MyIterable abstract base class, but it does not have to be overridden in non-abstract derived classes.

The __subclasshook__() class method defined here says that any class that has an __iter__() method in its __dict__ (or in that of one of its base classes, accessed via the DRESSES Short dresses Haikure pknFN
list) is considered a MyIterable too.

Finally, the last line makes Foo a virtual subclass of MyIterable , even though it does not define an __iter__() method (it uses the old-style iterable protocol, defined in terms of __len__() and Zeppelin Low 1820 Womens Low Trainers Cult LfSnP61zFZ
). Note that this will not make get_iterator available as a method of Foo , so it is provided separately.

The scheme in ( 21 ) is the basis for the computation of the shear rate and all cellular contributions to it. In the following, we will separately discuss shear in the absence of topological transitions (i.e., between the states I 1 and I 2 ) and the shear by topological transitions.

The overall tissue shear rate v i j between the states I 1 and I 2 is computed as the average triangle shear rate:

(22)

In this equation, the average corresponds to an area-weighted average over all triangles, where the area weights are taken from state I 1 . More generally, for any triangle-based quantity q m , we define such an average by

(23)

Here, the sum runs over all triangles m of the network, A X m denotes the area of triangle m in state X ∈ { O n , I 1 , I 2 , I 3 , O n + 1 }, and A X is the total area of the triangulation in state X : A X = m A X m . The index X is necessary, because the triangle areas generally change between two states. The average quantity q m may be evaluated for a network state Y different from X if both contain the same set of triangles. Interestingly, the large-scale shear rate v i j can equally be computed from margin displacements alone ( Merkel, 2014 ; Merkel et al., in preparation). Furthermore, since there is no shear occurring during topological transitions, the average shear rate v i j between the intermediate states I 1 and I 2 also corresponds to the average shear rate between the observed states O n and O n + 1 .

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