the streamline pattern may change significantly. Triangular pillars have been proven to decrease the critical diameter65,66. A smaller critical diameter benefits the microfluidic device in many ways, such as reducing the clogging effect67, enabling...
The bottle’s thread has an outer diameter of 36.95 +/- 0.010 mm. That means the limits of the cap’s inner diameter are 36.985 and 37.065 mm, with a mean value of 37.0 mm. The cap also has specific hole connections to an axle that is mounted underneath a flat surface. This allows ...
Topics covered include the monotonicity formula, Allard’s regularity theorem, the theory of currents, regularity theory for codimension one area minimizing currents, and the theory of general varifolds. Appendices cover Federer’s dimension reducing argument for regularity theorems and the ...
In fact, the variance of Qn(Un) can be seen to be of order (n2 d+1 n )−1 when α = 0, 1 (by a computation with formula (4.7)), so that condition (I1) makes sense. However, when α = 0, 1, a worse bound is useful to control the nonlinearity of the functional. On ...
The Crofton-Kirchheim area formula 6.1. C1 submanifolds. Consider an m-plane V ∈ G(X, m). The integral geomet- ric measure IPm,N induces a σ-finite translation invariant Borel regular measure IPm,N V on V . By uniqueness up to a multiplicative constant of a Haar measure on V , it...
The body surface area (BSA) was calculated using the Dubois formula of BSA ¼ 71.84 W.425 H.725 where W is weight in kilograms and H is height in centimeters.13 Waist circumference (in centimeters) was measured from the midpoint between the lowest rib and the iliac crest, while the ...
Circumferences scale to volume/height with powers in these models as summarized in the table and as mean (± SE) values in Figure 4. The circumference scaling ranking (i.e., observed power of volume/height) is very similar in males and females, after adjusting for age: Figure 4 Power ...
More particularly, they are valid when the catalytically active multielement oxide of the geometric (e.g. annular or ringlike) multielement oxide unsupported catalyst (shaped catalyst body K) has a stoichiometry of general formula I Mo12BiaFebX1cX2dX3eX4fOn (I) where X1=nickel and/or...
Moreover, the role of the function \(\rho _{ku}\) (formula 2.23) is played by the (normalized) point-wise norm of the Bergman kernel on the diagonal, induced by the pair \((u,\mu )\). From this point of view the “static case” of Theorem 1.1 (and its generalization Theorem ...
geometric mean electronegativity value between about 3.45 and 3.65, said geometric mean electronegativity value being determined in accordance with the following equation: ##EQU12## wherein S is the geometric mean electronegativity value of said composition having molar compositional formula AaBbCcDd. . ...