Exact(17)
These illustrate that in many cases, one can obtain estimates of semiparametric variances using standard formulas derived in the already-well-known parametric literature.
Even today, however, the helical spring formulas derived in 1960s still continue to be used in the spring design.
Some of formulas derived in this study are compared to the commonly used formulas in the available literature.
Taken both robustness and closed loop performance into consideration, most desirable parameters can be regulated by the analytical formulas derived in this paper.
All the formulas derived in this paper do not require a boundary closure, and therefore can be directly applied at boundary nodes.
By comparing the results from present formulas with those of other numerical analyses, it is shown that the formulas derived in this paper are accurate and reliable for engineering purposes.
Similar(43)
This paper investigates flow characteristics of external spur gear pumps using a flowrate formula derived in closed form.
For the calculation of the B2 indices for straight pipes with 40 < D/t ≤ 100 a formula derived in previous works is used.
The method relies on a semi-analytic formula derived in the present work, which allows evaluation of streaming potential and volumetric flow rate without the necessity of numerical solution of nonlinear partial differential equations.
This definition is inspired by the Borel-Pompeiu formula derived in [2, Theorem 1.3].
We therefore propose that the formula derived in Eq. 6 is sufficient to be considered as a calibration.
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