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The goal of the former is to inherit the versatility of the conventional FEM; the latter is to obtain the higher approximate degree of accuracy.
Given a fixed grid size, it is well known that the approximate degree of a complete vector-valued sub-simplex to fixed points is better than the other.
The approximate degree of crystallinity of the samples was calculated according to 3where wc is the degree of crystallinity, Δ Hf is the heat of fusion of the sample, and Δ Hf is the heat of fusion for a 100% crystalline polymer.
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Satterthwaite correction was used to approximate degrees of freedom [39].
aThe assumption of homogeneity of variance was violated for this analysis, thus Satterthwaite [ 39] approximate degrees of freedom were used.
Broadly speaking, the precise mechanism of smoothing is less important than the choice of amount of smoothing, conveniently expressed in approximate degrees of freedom.
For both unbounded and bounded adjectives, the interpretations of the approximating degree modifiers and the adjectives were not significantly different from the negated adjectives.
This paper investigates the interpretation of unbounded (scalar) adjective antonyms with and without negation such as (not) narrow – (not) wide and bounded adjective antonyms with and without negation such as (not) dead – (not) alive as well as their interpretations with approximating degree modifiers, fairly and almost, respectively.
The authors also demonstrated that that they are able to adjust the parameters of the model to generate networks approximating degree distribution of selected biological network.
Therefore, the back-of-the-envelope calculation provides an approximate minimum degree of overlap, where the actual degree of overlap is likely much higher.
Using Eq. 6, we can approximate the degree sequence by a random walk on degree space with the following transition kernel: f_{text{RW}}(d_{t+1}|d_{t}) = frac{mathrm{E}[D] f(d_{t},d_{t+1})}{d_{t} f_{d}(d_{t})}, (10).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com