Sentence examples for lattice filtration from inspiring English sources
Again we keep track of the lattice filtration so that H o m s 0 (P 1, P 2 ) is a Z | s 0|| filtered polymodule.
We will be concerned with preserving the lattice filtrations naturally throughout.
It is plain to see that Ψ preserves the lattice filtrations and that Ψ is a natural transformation.
Let P be a graded vector space and write (2.6) B (a, b ) P = B A 1 ⊗ ⋯ ⊗ B A r ⊗ P ⊗ B B 1 ⊗ ⋯ ⊗ B B s for the bar construction of P. When (a, b ) is fixed or understood from the context, we simply write B P. We make a note that B P is naturally an object of C h l f where the lattice is Z r + s and the filtration is induced by the length filtrations on the bar constructions.
We define a filtration on the chain complex computing the lattice homology of G and show how to use this information in computing lattice homology groups of a negative definite graph we get by attaching some framing to v(0).
In this work, the Lattice Boltzmann Cellular Automata (LB CA) probabilistic model for particle-laden flows was introduced to simulate the filtration process of multi-layer fiber filters with different fiber arrangement, and then the effects of the fiber arrangement on the capture efficiency, pressure drop, quality factor, and capture contribution were investigated.
(b) Gel filtration chromatography.
Lattice Search Techniques vs. Experimental Design.
How does filtration occur?
The Leech lattice intrigued Conway.
