Manifold different disciplines and stakeholders are involved, with different levels of abstraction and perspectives and different schools of thinking, concepts, methods, and data.
Evolution has driven fungi to develop manifold different lifestyles which enable them to successfully thrive in their habitat.
Possible solutions for non-manifold regions between the manifolds with different dimensions are suggested as a form of selective subdivision rules according to user preference.
According to active general covariance, we are licensed to spread geometrical structures like metrical fields over the manifold in as many different ways as there are coordinate transformations.
Since the geometric algebra is introduced in modeling the manifold, the eigendecomposition is different from the conventional methods, such as [18].
Guidelines are drawn on the suitability of the manifold structures studied under different operating conditions, fabrication constraints and design objectives, based on their ability to produce narrow residence time distributions in the microchannel reactors.
However, the manifolds of the different GCMs can be isolated from one another, and the covered region was discretely distributed.
Rotation recovery using the Newton's method on the manifold is first assessed on different datasets.
Each row represents a different mode of the manifold.
The constituent principles of Ur-Nature combine with one another in different proportions and the manifold world comes into existence.
