If things do not differ they should not be called 'equal,' but rather, more precisely, 'identical,' as e.g., the morning and evening star.
(iii) Since in the results of [1, 2] and [4], the spaces ( X, d ) are Hausdorff and complete, and the maps T : X → X are continuous, therefore, Theorems 4.1 and 4.2 are new generalizations of [1, 2] and [3], respectively; more precisely, the assertions are identical, but assumptions are weaker.
Pulse-field gel electrophoresis confirmed that the isolate obtained from the blood culture (Z5463BC) was identical to Z5463, more precisely to a fourth subculture of this strain used the week before the contamination (Z5463PI).
The initial endowment is identical for all agents, more precisely, (omega _{i}=1) for all (i in N).
More precisely, the clonal origin of two individuals with identical multilocus-genotypes is assumed if the hypothesis is rejected that two copies of such a genotype can be produced independently by sexual reproduction.
More precisely, no two participants shared >700 cM of DNA identical by descent (IBD; approximately the lower end of sharing between a pair of first cousins).
More precisely, observe that (mathbb {E}left [tau _{1}right ]) is identical to (i) of (22).
GAP therefore retrieves more information from identical data sources (e.g., scientific literature), and more precisely integrates the available information using a taxonomy-based scoring.
A new experiment by UC Berkeley physicists used partially entangled atoms — identical to the qubits in a quantum computer — to demonstrate more precisely than ever before that this is true, to one part in a billion billion.
More precisely, the structural compression maps all metabolically redundant nodes of the same connectivity (structurally identical) onto a super node.
More precisely, we can multiply all numbers with the same positive constant and add an identical constant of any sign without changing the information: the mean of 100 and standard deviation of 10 are arbitrary.
