Projects, graphic representations

The projection of a domain plot onto its base makes a convenient two-dimensional graphical representation for describing adsorption-desorption operations. Here, the domain region that is filled can be indicated by shading the appropriate portion of the 45° base triangle. Indicate the appropriate shading for (a) adsorption up to Xa - 0.8 (b) such adsorption followed by desorption to Xd - 0.5 and (c) followed by readsorption from Xd = 0.5 to Xa = 0.7. 

GORE. The CORE Electronic Chemistry Library is a joint project of Cornell University, OCLC (On-line Computer Library Center), Bell Communications Research (Bellcore), and the American Chemical Society. The CORE database will contain the full text of American Chemical Society Journals from 1980, associated information from Chemical Abstracts Service, and selected reference texts. It will provide machine-readable text that can be searched and displayed, graphical representations of equations and figures, and full-page document images. The project will examine the performance obtained by the use of a traditional printed index as compared with a hypertext system (SUPERBOOK) and a document retrieval system (Pixlook) (6,116). 

In this manner, both PCA and FA provide a projection of the objects from the high-dimensional feature space on to a space defined by a few factors they can also be used as a method for graphical representation of multidimensional data. 

The most important method for exploratory analysis of multivariate data is reduction of the dimensionality and graphical representation of the data. The mainly applied technique is the projection of the data points onto a suitable plane, spanned by the first two principal component vectors. This type of projection preserves (in mathematical terms) a maximum of information on the data structure. This method, which is essentially a rotation of the coordinate system, is also referred to as eigenvector-projection or Karhunen-Loeve- projection (ref. 8). 

Let us now consider the possibilities when ferric chloride, hydrochloric acid, and water are all present. Their graphical representation is obtained by taking the planes of the above diagrams as projection planes that on which ferric chloride was shown as vertical, that on which the behaviour of hydrochloric acid was expressed as horizontal plane of projection the space between will then correspond to what occurs when Fe Clg, HCl, and H2O are all present. 

The columns labeled "Graphical symbol" in Table 1.4 correspond to graphical representation of symmetry elements when they are perpendicular to the plane of the projection. Other orientations of rotation and inversion axes are conventionally indicated using the same symbols to designate the order of the axis with properly oriented lines, as shown in Figure 1.8. 

Because a state can be defined by the values of Its Independent properties, states can be represented by points In a multidimensional property space. In general, the graphical representation Is unwieldy because the number of Independent properties of a given state can be very large. Nevertheless, useful Information often can be summarized by a projection of the multidimensional property space on a two-dimensional plane. One such plane Is the Tr(j)H) vs. [-k Tr((3 In 0)] plane, namely the E vs. S plane. 

The graphical representation of the way in which chemical periodicity varies continuously as a function of the limiting ratio (Figure 5.3), 1 < Z/N < 0, appears strangely unsymmetrical, despite perfect symmetry at the extreme values. By adding an element of mirror symmetry a fully symmetrical closed function, that now represents matter and antimatter, is obtained. To avoid self overlap the graphical representation of the periodic function is transferred to the double cover of a Mobius band, which in closed form defines a projective plane. 

Analytical trees are nothing more than graphic representations (Fig. 10-1). They are literally pictures of a project. Analytical trees use deductive reasoning that is, they start with a general top event or output event and develop down through the branches to specific input events that must occur in order for the output to be generated. 

Analytical trees make excellent systems status boards. Because the tree is a graphic representation of the project, the current status is readily depicted by color coding the tree or simple checking off completed events or items. 

The graphical representation of AE data that has been localized in 3D is a very important aspect of acoustic emission analysis. There are several ways to visually represent the data. A common approach is to draw projections of the x/y, y/z or x/z planes. The representation in a 3D coordinate system, as shown in Fig. 5.15, can lead to useful insights when the graphical data is animated - such features are implemented in most modem AE data analysis software. Representing 4D data (three coordinates of the sources and the time of occurrence of all events) using print media, however, is difficult. 

The objective of this task Is to develop a comprehensive computer data base containing the experimental data on properties of ceramic materials generated In the overall effort, This computer system is intended to provide a convenient and efficient mechanism for the compilation and dissemination of the large amounts of data involved. The data base will be made available In electronic form to all project participants. In addition, periodic hard copy summaries of the data, Including graphical representation and tabulation of raw data, will be Issued to provide convenient information sources for project participants. 

Gaunt Chart Graphical representation (perhaps in bar chart or line format) that expresses a project schedule. 

The bioplastic market is growing at the rate of 8 10% per year and covers approximately 10 15% of the total plastic market. A graphical representation of the rising production capacity for bioplastics in the world is shown in Figure 3.9. Its market share is further projected to increase 25 30% by 2020. In 2007 the bioplastic market had reached 1 billion US and is expected to be over 10 billion by 2020. " ... 

The interpretation of equation (k) for a ternary or higher-order solution is no more difficult in principle than the interpretation already given for a binary solution. However, every additional component requires the addition of one compositional variable to the free energy of mixing function, and therefore one additional dimension in free energy - composition space. The graphical depiction of a binary system thus requires two dimensions (Gip, X2) that of a ternary system, three dimensions (G, X2, X3), and so on. The graphical representation of multicomponent solutions with c > 3 is virtually impossible, except in projection, and it becomes necessary to rely on strictly fimctional treatments of the properties of state. 

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