### Table I Regression Coefficients and Standard Deviations for Expected Distances ^dij amp; Depending on k

1994

### Table 2. Comparison of the Time Constant of the Initial Folding Phase with Protein Size and Secondary Structure Type

"... In PAGE 22: ... These early structural events can be attributed to accumulation of partially folded intermediates, which may act as stepping stones in finding the unique native conforma- tion. Table2 lists the time constants of the earliest folding phase measured by continuous-flow fluorescence for some of the proteins discussed in this review, along with their size and structural type. While the number of proteins studied is still too small to warrant general conclusions, it is interesting to note that the initial folding times vary by an order of magnitude but show no apparent correlation with protein size.... ..."

### Table 1 Comparison of two approaches for collision/contact simulation

"... In PAGE 2: ... Hence the methods can be successfully applied to a haptic rendering simulation which requires high update rate and a finite impulsive force at collision. Table1 shows a comparison of two approaches. We propose an algorithm to separate dynamic objects in VR applications into a haptic rendering group and a visual rendering group.... ..."

### Table 1 - 8. Contacts and Status

1996

"... In PAGE 29: ...TRS Abstracts Table1 - 2. (continued) NTRS TRSFull NTRS Remarks Text ARC 4/95 11/95 Omitted until linkage resolved CASI 1/94 1/95 NA NA Abstracts only DFRC 1/95 1/95 1/95 1/95 All full text documents MSFC 11/95 11/95 11/95 11/95 Some full text documents JSC 12/95 Omitted until firewall setup KSC 9/95 9/95 9/95 9/95 All full text documents SSC 8/95 8/95 8/95 8/95 All full text documents Uniform Resource Locators (URL) Uniform Resource Locators (URL) have been identified for all the NASA Centers participating in the Technical Report and Public Affairs Information Servers by the following two sections of this joint technical memorandum.... In PAGE 33: ...Table1 - 6. (continued) Old Steps Cycle Time Steps Each center prepares for 1 day Mailing by mailroom 1 day internal mailing and mails Total Estimated Cycle 4 to 6 weeks Total Estimated Cycle 1 to 2 days Time Time Potential Productivity Improvement: Receipt of end product from 6 weeks to 2 days Proposed Cycle Time Comparing Tables 1 - 3 and 1 - 4, cost savings are not significant, whereas the cycle time for receipt of the Headquarters Telephone Directory is significant, i.... In PAGE 37: ... Old Steps Prepare Fact Sheet Headquarters review Prepare Master for Printing Prepare Work Order Headquarters Fact Sheets, Hard Copy Cycle Time Issue as prepared Not applicable 1 to 5 days 1 day Proposed Steps Prepare Fact Sheet as an integrated PostScript file with graphics and text Each center prepares and sends via EmaiI,Fact Sheet in source format for review to Code P Transmit PostScript file as an attachment to E-Mail via LISTSERV to each Center. A second file will be sent in accordance with Table1 - 9 Each center pointof contact prepares Job Ticket and sends to DocuTech where applicable for copies Cycle Time Issue as prepared 1 day 1 to 3 minutes per center Set Labeling where available on DocuTech 1 hour Sent to GPO Term 4 to 6 weeks Print copies (1 to 10 pages At rated speed, page per Contractor for printing per copy) minute of duplicator 1 - 5 days 1 day Distribution to each center for distribution Mailingby mailroom Each center prepares for internal mailing and mails Cycle time included during printing 1 day Total Estimated Cycle 4 to 6 weeks Total Estimated Cycle Time 1 to 2 days Time Potential Productivity Improvement: Receipt of end product from 6 weeks to 2 days The steps involved for the generation of the HTML files for the Fact Sheet availability on the Public Affairs Home Page are displayed by Table 1 - 10.... ..."

### Table 1: The values of C for di erent contact angles .

"... In PAGE 6: ... II) Tabulated Values: There are tables for di erent kinds of elliptic integrals that could be used[9] to solve equation (9). Although not practical, they are used in this paper ( Table1 ) to verify the results of the next method (Expansion Series), and based on that, develop a convenient approximate solution. III) Expansion Series: Approximation is possible by obtaining series expansion of the equation (9).... In PAGE 6: ... Also F( ; k) is the normal elliptic integral of the rst kind. Then Equation (12) is transformed to: F l bR2 max = 2E( ; K) = 2[E( =2; k) (1 k2)F( =2; k)]=k: (13) Now by substituting (11) in (13), we can further reduce the expansion as: l R = 4E( ; K) sin p1 + 2 = C p1 + 2 ; (14) where C = 4E( ; K) sin = 4 [E( =2; k) (1 k2)F( =2; k)]=k2: (15) The expansion series of E, and F[9] can be used to obtain an expansion series for C by applying them to Equation (15) as the followings: E( =2; k) = 2 h 1 1 4k2 3 64k4 5 256k6 175 16384k8 :::::i ; F( =2; k) = 2 h 1 + 1 4k2 + 9 64k4 + 25 256k6 + 1225 16384k8 + :::::i ; C = 1 + 1 8k2 + 3 64k4 + 25 1024k6 + 245 16384k8 + :::::::: : (16) On the other hand, the tabulated values of E and F[9] are used, and the following values of C based on equation (15) are calculated ( Table1 ) and plotted versus in Figure 5 (shown by small circles).... In PAGE 8: ... for revolute pin joints. Comparing the results of these two approaches shows that, the series (16) converges to the nal values of C ( Table1 ) very slowly as the number of elements in the series are increased. For example, even the summation of the rst ve elements of the series results in 5% deviation for large values of (shown by the dashed line A, in Figure 5) from the tabulated values.... In PAGE 8: ... For example, even the summation of the rst ve elements of the series results in 5% deviation for large values of (shown by the dashed line A, in Figure 5) from the tabulated values. IV) Curve Fitting : By curve tting techniques (to the data points of C from Table1 ), it is possible to obtain functions with better accuracy compared to the results of expansion series with limited number of elements. For example, by knowing the type of polynomial obtained from previous section (i.... In PAGE 8: ...e. equation 16), the function C = 1 + Ak2 + Bk4 + Ck6 + Dk8 could be solved by least square method for the tabulated values of C (from Table1 ), to obtain the coe cients: A; B; C; and D. This results in: C = 1 + 0 0477k2 + 0 5744k4 1 051k6 + 0 6982k8: (17) The above equation has less than 1% deviation from the values of C over the whole range of (shown by the solid line B, in Figure 5).... ..."

### Table 2. Constraints on Elements of y Due to Contact Interaction

"... In PAGE 6: ... (12) We now turn to the constraints on y. Table2 gives con- straints on four elements of y for each interaction; we collect the constraints in Table 3. We will take eq.... In PAGE 6: ... First, we calculate the matrices C and B. Once a contact mode has been chosen, Table2 may be used to determine the set of constraints on y. We then build a series of matrices that may be used to trans- form the equation and constraints into a face representation of a polyhedral convex cone.... ..."

### Table 2. Constraints on Elements of y Due to Contact Interaction

"... In PAGE 7: ... (12) We now turn to the constraints on y. Table2 gives con- straints on four elements of y for each interaction; we collect the constraints in Table 3. We will take eq.... In PAGE 7: ... First, we calculate the matrices C and B. Once a contact mode has been chosen, Table2 may be used to determine the set of constraints on y. We then build a series of matrices that may be used to trans- form the equation and constraints into a face representation of a polyhedral convex cone.... ..."

### TABLE 3 - Film specially shot and framed for television - Scanned for 4:3 television (Scanned area dimensions from images on film not intended for contact printing and projection. The film material will normally be a camera original)

### Table 3: Correlations between the number of contacts

"... In PAGE 2: ... This e ect is to be expected since the possible contact values belowtheaverage have a more restricted range than the values abovetheaverage. The correlations of the numbers of contacts in the 4 di erent categories are shown in Table3 . There are high correlations between the 8 A, 10 Aand12 A categories, while the 6 A category is less correlated to the others.... ..."

### Table 6: Production Function with Business Contacts and Associations

1997

"... In PAGE 19: ... Also, the positive interaction of the maquila dummies with machinery suppliers and competitors implies that they are able to extract a high information from these meetings. Table6 has a specification similar to that in table 5, but consolidates the total numbers of meetings per year into two categories: Associations and Business Contacts. It confirms that business contacts have a higher payoff.... ..."