Equation (6.26) is an important result which can be expressed in several alternate forms [Pg.365]

One complication is the presence of two systems of units cgs/esu and SI. As in Chapter V, we again present the equations in the cgs/esu system we show alternative forms appropriate to the SI system in Tables VI-2 and VI-3. [Pg.226]

For the special cases in which the normality conditions may be solved for k, it is possible to find alternate forms of the constitutive equations. Using (5.59) in (5.58) and (5.62) in (5.61) and dividing the first resulting equation by the second [Pg.140]

Once this process has been completed for each of the essential elements, patent claims maybe drafted which cover the invention. These claims will cover, in the broadest sense, only those elements of the invention which are essential. Narrower, more focused claims, however, should also be included within the patent appHcation. These claims may focus on aspects of the invention that the appHcant beHeves are preferred, or may otherwise represent essential aspects of any commercial product that will stem from the invention. Finally, claims should also be drafted to cover alternative forms of the invention. Such alternative forms of the invention may not necessarily be considered to be preferred commercially, but they may present an area where a competitor could attempt to engineer "around" the invention. [Pg.34]

An alternative form of exact nonrelativistic vibration-rotation Hamiltonian for triatomic molecules (ABC) is that used by Handy, Carter (HC), and [Pg.503]

An alternative form of the Henderson-Hasselbalch equation for acetic acid is [Pg.798]

If the temperature is below the critical temperature of the gas, the alternative form [Pg.3]

An alternative form of this equation is the van Deemter equation [Pg.561]

An alternative form of the virial equation expresses Z as an expansion in powers of pressure about the real-gas state at zero pressure (zero density) [Pg.529]

Expressions (2.7) and (2.8) differ by a factor 311/8, or about 1.18, and this is typical of the order of error associated with simple momentum transfer arguments. The flux relation (2.5) can also be written in the alternative form [Pg.9]

Several variants of the conjugate gradients method have been proposed. The formulatior given in Equation (5.7) is the original Fletcher-Reeves algorithm. Polak and Ribiere proposed an alternative form for the scalar constant 7) [Pg.285]

Illustration showing an alternative form of the method of standard additions. In this case a sample containing the analyte is spiked with a known volume of a standard solution of analyte without further diluting either the sample or the spiked sample. [Pg.112]

This form of Darcy s law is appHcable only to saturated flow. As discussed earlier, there are distinctions between the state of soil water in the saturated and unsaturated regions. These distinctions lead to an alternative form of Darcy s law for the case of unsaturated flow (2,5). [Pg.402]

An alternative form of the fundamental property relation given by equation 60 is provided by the mathematical identity of equation 166 [Pg.495]

An alternative form of Eq. (4-101) follows by introduction of the activity coefficient through Eq. (4-103) [Pg.521]

Equations (4-140) and (4-141) may sometimes be advantageously expressed in alternative form through use of mean heat capacities [Pg.525]

Multiplication of the Redlich/Kwong equation (Eq. [4-220]) by V/RT leads to its expression in alternative form [Pg.531]

Lapple (in Periy, Chemical Engineers Handbook, 3d ed., McGraw-Hill, New York, 1950) presents an alternative form of Eq. (17-10) in which the gas-viscosity term is explicit instead of being incorporated into the resistance coefficients [Pg.1600]

An alternative form of spiro nomenclature more common in Europe than in America is similar to that used in examples (64)-(66), but the order of citation of components is based on size, and the term spiro appears between the component names (see lUPAC Blue Book B-79MI10200) Rule B-11). Thus (64) would be called 3H-indole-S-spiro-l -cyclopenta-2, 4 -diene, and (63) would be cyclohexanespiro-4 -[l,3]dithian-2 -spirocyclopentane. [Pg.26]

Fig. 23.12. Shear banding, an alternative form of polymer plasticity which appears in compression. |

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