McLaurin series

With the aid of a McLaurin series, a polynomial in expanded about... 

Express the compressibility factor Z = PV td/iRT) for a gas that follows the Redlich-Kwong equation. Convert the resulting equation into one in which the independent variable is (l/Vm)- Obtain a McLaurin series for Z as a polynomial in (1 /Vad, and express the virial coefficients for that equation in terms of the parameters of the Redlich-Kwong equation. 

Herzberg and Teller (1947) described the dependence of the electronic transition dipole moment on the nuclear geometry g by a McLaurin series expansion of the Hamiltonian... 

Equation (9.51) is exactly the same as the case for when a single reflection from the resist-substrate interface is added incoherently to the incoming wave. Expanding the normalized bulk intensity in a McLaurin series in z, and truncating... 

Then, while passing to the actually assessments, the ( ) series will be employed for the case of n = 2l,l eN. However, in what follows, the McLaurin series expansion will be employed... 

The field-induced change in absorption, measured in an EA experiment (Equation 19.16), can be expressed in terms of AE as a McLaurin series, truncated at the second term since the spectral shifts are small (typically tens of peV for fields used in EA [97,99]) ... 

Expressing the basic isotherm as a McLaurin series yields directly the following relationship ... 

Close to ri = 0, y the Butler-Volmer equation (Equation 1.114) may be linearized with the first term of a McLaurin series ... 

Linearization of the exponential expression via a McLaurin series leads to Equation 1.189 ... 

Equations of (membrane type) unidirectional diffusion-reactions in the steady state with one Michaelis type-enzyme. Fundamental case no regulatory effects v = VS I Km + S), order of reaction 0 to 1 no assumption on S/Km approximation of Equation (1) by McLaurin Series a = Ve IDKm s = S/Km ... 

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