The reasons are manifold: the growing premium a college education commands, technological change that favors mind over muscle, the growth of the financial sector, the loss of manufacturing jobs to automation and foreign competitors, and the decline of labor unions.
These metrics were obtained by giving the SPD manifold the structure of a Lie group.
The objectives of Multiple Sequence Alignment (MSA) are manifold, the most important being: detecting key functional residues, predicting secondary or tertiary structures and inferring the evolutionary history of a protein family.
The conjecture was potentially important for scientists studying the largest known three-dimensional manifold: the universe.
Mr. Arnold examines the manifold, the valves that connect fuel lines to burners, pilot lights, thermostats, gauges and controls.
The practical issues are manifold: the technology to make the drones operational in any sense is not yet in place.
To be a four-dimensional manifold, the set of events must be a little bit more organized.
As such, the new discovery could accelerate manifold the understanding of how an embryo becomes an adult organism.
At each point of the manifold the microsymmetry group will be a concrete realization of this subgroup of \ GL(n)\).
Also for any two-dimensional semi-Riemannian manifold, the notions of three curvatures are equivalent.
On each manifold, the lower branch (magenta) is linearly stable, the upper branch (gray) linearly unstable.
