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Let S ∈ K ≤ n be an i-simplex of a complex K ≤ n.
Then the i-simplex S is a single i-simplex (of K ≤ n ) if there exists exactly one (i + 1 -simplex T ∈ K ≤ n such that S ⊂ T (i ∈ In-1); compare Definition 2.60 [1] of a free face.
Both complexes are collapsible, their intersection is a ≤2-complex {{1}, {2}, {3}, {4}, {12}, {23}, {34}} which is obviously collapsible, but the union does not have any single i-simplex (see Figure 4).
For any complex L m + 1 ( m ∈ I k ) there is a single i-simplex S in L m + 1 and a unique (i + 1 -simplex T such that S ⊂ T, for some i ∈ In-1.
A complex L ≤ m ⊂ K ≤ n ( m ≤ n ) is obtained by an elementary collapse of a ≤n-complex K ≤ n if there is a single i-simplex S ⊂ T ∈ K ≤ n and L ≤ m = K ≤ n { S, T }, where T is the unique (i + 1 -simplex containing S (i < n); see [2] and compare the definition of d-collapsing in [3].
Based on DNA sequences of the mitochondrial gene cytochrome oxidase subunit I (COI) and the nuclear gene wingless, we aimed to test if (i) M. simplex underwent a persistent range and population size during the climatic oscillations of the Quaternary and if and how (ii) its demographic history was affected by the cyclic changes in the sea level.
Abortive and productive infections of human mononuclear phagocytes by type I herpes simplex virus.
Replication of type I herpes simplex virus in primary cultures of hairy cell leukemic leukocytes.
The ability of Type I herpes simplex (HSV) to replicate in normal human monouclear phagocytes was investigated.
Pozner, LH, Daniels, CA, Cooper, JA, Cohen, HJ, Logue, GL, and Croker, BP. "Replication of type I herpes simplex virus in primary cultures of hairy cell leukemic leukocytes". Am J Pathol 90, no. 1 (January 1978): 187-200.
With a simple click in UDECON, optimized deconvolution can be searched using two different methods (i.e., "Simplex method" or "Grid search") with adjustable choices of initial values or ranges for smoothness, position shift, and length correction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com