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Strategies to reduce complexity are manifold: examples are system modelling, contradictory analysis or prospective imagination.
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The examples are manifold.
Selected examples are presented to show the manifold applications of this replication technology.
The known counter-examples are trapping manifolds.
The manifold in this example is clearly broken up; leading thus to a multi-manifold.
Riemann surfaces, for example, are two-dimensional manifolds.
What Mr. Carter has absorbed from their example is manifold: among other things, a fiery adherence to self-expression and a sharp appreciation of stamina.
Generally, manifold examples show that public pressure is an excellent means to induce change.
The easiest example is, for type I, the Grassmann manifold.
A principle example is the Laplace operator for a manifold with an asymptotically conic singularity.
An example is given below, where the pdf is concentrated on a non-linear manifold due to fast, contracting directions.
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