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Thus a quantitative multiplicity is always homogeneous.
Moreover, because a quantitative multiplicity is homogeneous, we can represent it with a symbol, for instance, a sum: "25".
For Bergson, we must understand the duration as a qualitative multiplicity — as opposed to a quantitative multiplicity.
In Time and Free Will, we find several examples of a quantitative multiplicity; the example of a flock of sheep is perhaps the easiest to grasp (Time and Free Will, pp. 76 77).
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Therefore, quantitative multiplicities are homogeneous and spatial.
Notice that the distinction between the two tendencies relies on the original distinction between the qualitative and the quantitative multiplicities.
With multiplicity, or the multiple as substantive, the question of the relation between the predicates one/multiple is replaced by the question of distinguishing types of multiplicities (as with Bergson's distinction of qualitative and quantitative multiplicities in Time and Free Will).
Quantitative values including multiplicity of tumor and relative expression of mRNA were represented as means ± SD or SE, and differences between means were statistically analyzed by ANOVA or the Kruskal-Wallis test followed by the Tukey test for multiple comparisons.
By the same token, Democritus also denied the qualitative multiplicity of visible forms but accepted a multiplicity based on purely quantitative differences.
Quantitative analysis of steady-states multiplicity is presented for two autothermal structures, that is a fluidized-bed reactor with an external heat exchanger, and with a partial recirculation of hot gases.
To fine map the genetic loci underlying quantitative traits (QTL) like tumor multiplicity, backcross populations typically are used because if extreme phenotypic differences exist between the parental strains and dominant interactions are expected, they allow the segregation of cancer modifier loci in a shared genomic background (Darvasi 1998).
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