Numerical Entries

Wiener matrix eigenvalue - eigenvalue-based descriptors (O Wiener matrix eigenvalues) 

3D-Balaban index - Balaban distance connectivity indices 

3D-molecule representation of structures based on electron diffraction 3D-MoRSE descriptors 

3D-MoRSE descriptors ( 3D-M0lecule Representation of Structures based on Electron diffraction, MoRSE descriptors) 

Usually, the above equation is used in a modified form as suggested in 1931 by Wierl [Wierl, 1931]. On substituting the form factors by the atomic property w, considering the molecule to be rigid and setting the instrumental constant equal to one, the following expression is obtained  

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CTfilcs originated in the time of punched cards and therefore their format is quite restrictive. For example, blanks usually arc significant and several consecutive spaces cannot simply be replaced by a single one. Spaces may correspond to missing entries, empty character positions within entries, spaces between entries, or 2cros in the case of numerical entries. Thus, eveiy piece of data has a precise and fixed location within a line in a data file. Moreover, the line length of CTfilcs is restricted to 80 characters. 

The first two digits of each numerical entry represent a power of 10. For example, the entry —02 2.54 expresses the fact that 1 in = 2.54 X 10 ... 

Numerous entries to the preparation of structurally well-defined PPPs have evolved based on a variety of synthetic principles. The availability of newer, more effective methods for aryl-aryl coupling has been an important driving... 

Despite the numerous entries in Table 2, there are few entries that correspond to trustworthy species. More precisely, there are but two derived from contemporary, well-characterized measurements, where contemporary means the primary data were reported since the mid-20" century. These are for pyridine-2-carboxaldoxime and salicylaldoxime. The formal solid phase reaction 24 is but 5 kJmol endothermic. 

The numerical entry represents the power to which the row variable, varied alone, must be raised to be proportional to the column variable to the first power. For example, the column variable SNR is proportional to the row variable Rs1/2 in the signal-limited case and to Rs1 in the background-limited case. 

The variety of applications and the market growth potential have attracted numerous entries into the residuum hydroprocessing catalyst market, as indicated by the compilation of commercial vendors and catalysts in Table XXIII. Catalysts are available in an assortment of shapes, sizes, and formulations, but detailed information on catalytic metals, support composition, pore size, and pore size distribution is sketchy. 

Some users of clickers have developed methods for going beyond the typical multiple choice and numeric entry of answers by using the input features in innovative ways. Sauers and Morrison (2007) described the use of clickers with numeric entry capability to enter the reagents, in order, that would need to be used to accomplish a particular transformation in an organic synthesis. Ruder (2008) described a similar use of numeric input to describe the movement of electrons in arrowpushing mechanisms. 

Moreover, studies on the structures of cellulose polymorphs are still being pursued extensively this is evident from the numerous entries on cellulose in this and the previous articles1,2 of this series. In addition to the conformation of the isolated, cellulose chain, the packing of the chains in the lattice presented formidable difficulties in the past. From the modest, theoretical attempts by D. W. Jones,3 Ramachandran,4 and Sundararajan5 to analyze the chain conformation and the... 

When you have finished compiling your tabulated data, carefully doublecheck each numerical entry against the original information, to ensure that the final version of your table is free from transcriptional errors. Box 38.1 gives a checklist for the major elements of constructing a table. 

In this manner the diagonal matrix elements of were found by Warren (26) for f ground states (x = 1—4) in terms of the Ds, Dt, and Du quantities, and used to describe the magnetic susceptibilities of the corresponding sandwich species (see Section 3). (Note however that in the listed values for the f2,3H4, ground state in reference (26) the vertical order of the numerical entries in the Ds, Dt, and Du columns should be reversed). 

Because each stencil has to be a weighted mean, its entries must add up to 1. The number of stencils is equal to the arity, and so the sum of all values in the mask must equal the arity. To get the denominator, therefore divide the total of the mask numerator entries by the arity. 

In a table or graphical representation, it is desirable to display numerical entries by... 

Numerical entries read from the five fields of the "ROWS" card PH for the compartment Temporary storage Multipliers for "BBB" values Tolerance for convergence of method 1 of algorithm... 

You should be fully conversant with aU the terms, phrases, and acronyms conveyed within this chapter. As an exercise, distinguish and compare the selected items gathered as a string behind each of the numerical entries listed. Include specific examples lifted from the chapter whenever possible. Note that this practice list is not meant to be inclusive of all the chapter s terms. 

Fluorine phosphorus ( P). sodium f Na). and iodine < ) have no additional naturally occurring isotopes, The numerical entries indicate the average number of isotopic atoms present for each UW atoms of the most abundai atoms there will be an average of 1,08 C atoms. 

McClellan, J. E. and H. Dorn. 2006. Guide to resources. In Science and Technology in World History An Introduction, 2nd ed. Baltimore, MD John Hopkins University Press. This chapter includes all references the authors used in this well-respected basic textbook. It provides numerous entries for undergraduate students in the history of engineering. 

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