Even though the resulting model was likely to be slightly smaller than the authentic size (Supplementary Figure S2), it provided an estimate of the minimal dimensions of the HEZ 'core' region, showing a cone with flattened top, with a diameter (2 Rb) of 119 nm at its basis and an approximated height (hapex) of 96 nm.
The model with arbitrary geometry, inertia distribution and frictions are obtained based on a structured Boltzmann–Hamel d'Alembert formulation, and then the estimation equations are explicitly expressed in terms of a linear form with respect to the base parameters of minimal dimension to be identified.
In fact, in dimension 2 the condition ( mathcal {P}_E ( frac{1}{2}) < 0 ) is equivalent to the trapped set being filamentary in the sense that ( dim K_E < 2 ), that is the trapped set is below the mean of the maximal dimension 3 and the minimal dimension 1 (direction of the flow).
The skew field of quaternions ℍ gives an example of a noncommutative Clifford algebra with minimal dimension.
As we can see, there is a minimal economic dimension of the upgrading project that, in very degraded context, can be relatively high (because the initial real-estate value is very low).
Applying these methodological developments, we show that small synthetic iron chelators of minimal dimensions provide ferric iron to C. jejuni with equal or greater efficiency than enterobactin.
I'm curious to hear what kind of sound they can produce out of such minimal dimensions.
Table 2 presents the dimensions found for the anatomical structures examined: mean, maximal and minimal dimensions with standard deviations, corresponding time points, and the number of time points at which dimensions were significantly different from the maximum or minimum (p < 0.05).
In the following, we argue that the dimension of the minimal static factor, l, will be bounded by the sum of the McMillan degree and the number of a minimal dynamic factor of the GDFM.
This in turn shows that the dimension of a minimal static factor z k, i.e. l, is bounded by m + n for p > max { m + n, p 0 }.
