Exponential number extracting root

As emphasized in the introduction to relaxation kinetics, the methods described in this section can, in principle, be extended to derive equations for mechanisms with any number of relaxation times. Qearly these become progressively more complex as the number of roots increases. Assumptions have to be made in terms of limiting conditions, to extract useful information from them. The practical difficulties of resolving multiple exponentials from noisy experimental records have been alluded to before and helpful hints on this topic are presented in section 2.3. The discussion of examples of investigations by temperature and pressure jump techniques in... 

Roots of exponentials are obtained in a similar way. To extract a square root, use the Vx key. For other roots, use they key. To obtain a cube root, enter the number, press they key, enter 1/3 (0.333333333) and read the answer ... 

An attempt has been made to summarize the available literature for comparison of adsorption constants and forms of the equations used. Table XV presents a number of parameters reported by different authors for several model compounds on CoMo/A1203 in the temperature range 235-350°C (5,33,104,122,123,125-127). The data presented include the adsorption equilibrium constants at the temperatures employed in the studies and the exponential term (n) of the denominator function of the 0 parameter that was used in the calculation. The numbers shown in parentheses, relating to the value of n, indicate that the hydrogen adsorption term (Xh[H2]) is expressed as the square root of this product in the denominator. Data are presented for both the direct sulfur extraction site (cr) and the hydrogenation site (t). 

A fractional exponent symbolizes the process of extracting the root of a number. The fifth root of 243 is 3 this process is expressed exponentially as... 

Extraction of the Root of a Number Written in Exponential Notation... 

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