Sentence examples for for a first approximation from inspiring English sources

For a first approximation, we consider how the spiral sweeping area A increases as a function of time t, frac{dA}{dt} = frac{{dleft( {pi left( {t^{a} } right)^{2} } right)}}{dt} = 2api t^{2a - 1} (4).

The predicted RON and MON showed satisfactory accuracy against measurements obtained by the standard ASTM methods and blending rules, demonstrating that the present methodology can be a viable tool for a first approximation.

For a first approximation, this is the urine excretion of SID components, principally Na+ and Cl- when extracellular homeostasis alone is considered.

If counting methods are not available or practical for a particular material, classifying methods such as AUC or CLS and AFFF are anticipated to be suitable for a first approximation of nanomaterial content on a number basis.

Quantitative agreement with experimental results can be obtained by using a single multiplying factor on the particle surface area to account for (as a first approximation) the effects of porosity.

(This story is a little crude one might ask whether Europe could duplicate America's shale bonanza, for instance but to a first approximation it works).The gold standard was a powerful idea which delivered unquantifiable benefits and unquantifiable costs.

For example, to a first approximation, the primary visual cortex (V1) has a periodic-like microstructure on the millimeter length scale, reflecting the existence of various stimulus feature maps.

For instance, to a first approximation, 1 gram of hydrogen, which has a mass number of 1 (atomic number 1), has hydrogen atoms.

Comparison was made with an exact numerical solution, and the results show that the proposed approximation leads to small errors for low reaction rates, and gives a first approximation for the mass transfer rate for very rapid chemical reactions.

Although this method may not be precise for laminar flame velocity estimations, it offers a first approximation for hybrid systems explosions.

For simplicity and as a first approximation assume that the 2012 amount of transfers and other income is invariant relative to the number of recipients.