INDEX iterative

The described algorithm may not yield a converged solution in particular for values of power law index less than 0.5. To ensure convergence, in the iteration cycle (h + 1) for updating of the nodal pressures, an initial value found by... 

Draw bond order and free valency index diagrams for the butadienyl system. Write a counter into program MOBAS to detemiine how many iterations are executed in solving for the allyl system. The number is not the same for all computers or operating systems. Change the convergence criterion (statement 300) to several different values and determine the number of iterations for each. 

Equation (9-54) may be solved for i either graphically or by an iterative trial-and-error procedure. The value of i given by Eq. (9-54) is known as the discounted-cash-flow rate of return (DCFRR). It is also known as the profitability index, true rate of return, investor s rate of return, and interest rate of return. 

BP Method for Distillation The bubble-point method for distillation, particularly when the components involved cover a relatively narrow range of volatihty, proceeds iteratively by the following steps, where k is the iteration index for the entire distillation column. 

Infrared ellipsometry is typically performed in the mid-infrared range of 400 to 5000 cm , but also in the near- and far-infrared. The resonances of molecular vibrations or phonons in the solid state generate typical features in the tanT and A spectra in the form of relative minima or maxima and dispersion-like structures. For the isotropic bulk calculation of optical constants - refractive index n and extinction coefficient k - is straightforward. For all other applications (thin films and anisotropic materials) iteration procedures are used. In ellipsometry only angles are measured. The results are also absolute values, obtained without the use of a standard. 

The final macromolecular density matrix P(A") is rather sparse. The index relations described above help to identify the non-zero matrix elements of P(A"), and the actual computations can be restricted to those. Utilizing these restrictions and carrying out a finite number of steps only for the non-zero matrix elements of each fragment density matrix P (< Kk)), an iterative process is used for the assembly of the macromolecular density matrix P(AT) ... 

Allen et a/. (1991) performed these computations for 1-octadecene droplets, and they measured the evaporation rate of the droplets as a function of laser power. To determine the absolute irradiance /, of the laser beam, they also measured the force on the particle exerted by the laser beam using the techniques discussed above. The photon pressure force is given by Eq. (87), which involves the complex refractive index. The real component of the refractive index n was determined from optical resonance measurements, and the imaginary component was obtained iteratively. That is, they assumed a... 

Next the coefficients of the effective relation of each sample with known vreight and number average molecular weight are evaluated by iteration. Combining Equation 3,U and 6, the average molecular weights and inhomogeneity index may be expressed as... 

The index notation (m +1) indicates the m +1 iteration for the value of y +i. The iteration matrix P is found by differentiating the right-hand side of Eq. 15.32 to yield... 

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