Different meanings

When direct measurement is not available, the molecular weight can be estimated by two different means ... 

A quite different means for the experimental determination of surface excess quantities is ellipsometry. The technique is discussed in Section IV-3D, and it is sufficient to note here that the method allows the calculation of the thickness of an adsorbed film from the ellipticity produced in light reflected from the film covered surface. If this thickness, t, is known, F may be calculated from the relationship F = t/V, where V is the molecular volume. This last may be estimated either from molecular models or from the bulk liquid density. 

A mathematician would classify the SCF equations as nonlinear equations. The term nonlinear has different meanings in different branches of mathematics. The branch of mathematics called chaos theory is the study of equations and systems of equations of this type. 

The word essential as applied to naturally occurring organic substances can have two different meanings For example as used m the previous section with respect to fatty acids essential means necessary Lmoleic acid is an essential fatty acid it must be included m the diet for animals to grow properly because they lack the ability to biosyn thesize it directly... 

Until now we have been purposely vague about the quantity Aw. Since we shall use the notation of Eq. (8.42) from now on, it is convenient to say a few more things about Aw before we lose sight of it entirely. Reaction (8.A) is clear enough what is unspecific are the conditions under which this reaction takes place. Several possibilities come to mind, and each imparts a slightly different meaning to the energy w ... 

We now have two entirely different contexts in which we speak of a coil as unperturbed, with the term having a different meaning in each case ... 

T erms like fundamental, molecular, and interesting have different meanings for different people. Let me e>q)lain how they apply to the presentation of polymer chemistry in this text. 

The thermal conductivities of the most common insulation materials used in constmction are shown in Table 2. Values at different mean temperature are necessary for accurate design purposes at representative temperatures encountered during winter or summer. For example, under winter conditions with an outside temperature of -20 to -10°C, the mean temperature is 0—5°C. For summer, mean temperatures in excess of 40°C can be experienced. 

Stokes equations, Dirichlet and Neumann, or essential and natural, boundaiy conditions may be satisfied by different means. 

Since different meanings are ascribed to both annual profit and invested capital in Eq. (9-25), it is important to define the terms precisely. The invested capital may refer to the original total capital investment, the depreciated investment, the average investment, the current value of the investment, or something else. The annual profit may refer to the net annual profit before tax A vp, the net annual profit after tax Awp, the annual cash income before tax Aci, or the annual cash income after tax A vcf... 

Designing for robustness has also been associated with the DFM guidelines (Russell and Taylor, 1995). Robust design has different meanings to different engineering communities. For example, the three descriptions below focus on three different but connected aspects of product design ... 

Today a very wide range of acrylic materials is available with a broad property spectrum. The word acrylic, often used as a noun as well as an adjective in everyday use, can mean quite different things to different people. In the plastics industry it is commonly taken to mean poly(methyl methacrylate) plastics, but the word has different meanings, to the fibre chemist and to those working in the paint and adhesives industries. Unless care is taken this may be a source of some confusion. 

Often we will have data rather than a function and we wish to plot it, so that we can find a function that describes the data by analysis. In such cases we can manipulate the data by bringing it into a matrix form and then plotting it with ListPlot. We also can compare it to the behavior of functions that are meant to represent the data. The following is a typical set of data obtained from an experiment, appropriately named "data." (This could have been imported to Mathematica by any number of different means.) The first column is time and the second is the value of the measured variable in the system ... 

Fig. 2.5 I The discrete distribution of probability of crap scores has impressed on it a continuous distribution with quite a different meaning...

To deal with all kinds of normal distributions of different means and variances, the cumulative distribution is further normalized. This introduces a new variable u = x - ix)/(t. This operation changes a N(p, a) distribution to a N(0, 1) distribution. From Eq. (12.3) the following is obtained ... 

In industrial ventilation the majority of air velocity measurements are related to different means of controlling indoor conditions, like prediction of thermal comfort contaminant dispersion analysis adjustment of supply airflow patterns, and testing of local exhausts, air curtains, and other devices. In all these applications the nature of the flow is highly turbulent and the velocity has a wide range, from O.l m in the occupied zone to 5-15 m s" in supply jets and up to 30-40 m s in air curtain devices. Furthermore, the flow velocity and direction as well as air temperature often have significant variations in time, which make measurement difficult. 

In Fig. 20 we show the MSQ of a system of GM [66] with different mean chain lengths (depending on 7, cf. Eq. (12)) for three values of LO=l, 0.1, 0. 01. Since the individual chains have only transient identity, it is meaningless to discuss their center of mass diffusion. It is evident from Fig. 20 that the MSQ of the segments, g t) = ([x( ) - x(O)j ), follows an intermediate sub-diffusive regime, g(t) oc which is later replaced by conventional diffusion at some characteristic crossover time which grows... 

Both quality management and environment, safety and health have specialized vocabularies. In some instances, different practitioners use the same word or words but assume different meanings. In this glossary we explain our use of these phrases. 

Carriers and channels may be distinguished on the basis of their temperature dependence. Channels are comparatively insensitive to membrane phase transitions and show only a slight dependence of transport rate on temperature. Mobile carriers, on the other hand, function efficiently above a membrane phase transition, but only poorly below it. Consequently, mobile carrier systems often show dramatic increases in transport rate as the system is heated through its phase transition. Figure 10.39 displays the structures of several of these interesting molecules. As might be anticipated from the variety of structures represented here, these molecules associate with membranes and facilitate transport by different means. 

The latex can be concentrated by different means. One method consists of heating the latex under vacuum conditions to remove excess water and organic solvent by evaporation. In the case of an organic solvent forming azeotrope with water, the final concentration may be higher and the temperature of the treatment can be reduced. Using the concentrating treatment, the polymer content in the latex can be increased to 70% and the water content can be reduced to 2%. 

The term matrix has different meanings to different people. For some, matrix refers to components of the catalyst other than the zeolite. For others, matrix is a component of the catalyst aside from the zeolite having catalytic activity. Yet for others, matrix refers to the catalyst binder. In this chapter, matrix means components of the catalyst other than zeolite and the term active matrix means the component of the catalyst other than zeolite heaving catalytic activity. 

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