Anal. Chem. 2002, 74, 5426-5430

Comprehensive Two-Dimensional Gas Chromatography with Fast Enantioseparation Robert Shellie and Philip J. Marriott*

Australian Centre for Research on Separation Science, Department of Applied Chemistry, RMIT University, GPO Box 2476V, Melbourne, Victoria, 3001 Australia

The development of fast chiral analysis for use in comprehensive two-dimensional gas chromatography in which a short second dimension enantioselective capillary column provides a route to precise measurement of chiral ratios of enantiomers is described. Retention times as short as 8 s are reported for (()-limonene, with adequate enantioseparation maintained (Rs ∼ 1.0) on a 1-m cyclodextrin derivative-coated capillary column. Sufficiently fast elution on the second column was achieved by using GC/ MS in which the subambient pressure (vacuum outlet) conditions promote increased diffusion coefficients and higher component volatility; a 4-fold reduction of seconddimension retention time was observed, as compared with ambient pressure outlet conditions. The enantiomeric distribution of several monoterpene compounds in bergamot essential oil is reported as a demonstration of the method. Total analysis time of the target components was ∼8.5 min. Analysis of volatile chiral flavor and fragrance components using enantioselective multidimensional gas chromatography (enantio-MDGC) is now an almost routine operation in many specialized laboratories. The only suitable experimental arrangement for enantio-MDGC involves an achiral primary column and an enantioselective stationary phase (usually a diluted cyclodextrin derivative (CDD)1) second-dimension analytical column. Unresolved target components are heart-cut from the primary column and delivered to the analytical column, which provides resolution and quantitative measurement of the individual enantiomers.2 The importance and challenging nature of multicomponent stereochemical analysis provides motivation to seek new solutions, for which comprehensive two-dimensional gas chromatography (GC×GC) may be useful. GC×GC is rapidly establishing a foothold in GC analysis,3 providing an alternative to heart-cut MDGC analysis. Operationally, GC×GC is quite different from conventional MDGC: the entire sample is subjected to analysis in the two separation dimensions in the GC×GC experiment, so it is potentially many times more powerful than other MDGC techniques. The widely * Corresponding author. E-mail: [email protected]. (1) Bicchi, C.; D’Amato, A.; Rubiolo, P. J. Chromatogr. A 1999, 843, 99-121. (2) Schomburg, G.; Husmann, H.; Hu ¨ binger, E.; Ko¨nig, W. A. J. High Resolut. Chromatogr. Chromatogr. Commun. 1984, 7, 404-410. (3) Marriott, P.; Shellie, R. Trends Anal. Chem. 2002, in press.

5426 Analytical Chemistry, Vol. 74, No. 20, October 15, 2002

reported advantages of superior resolution4 and improved sensitivity5 and the unique opportunity to generate structured retentions allowing facile identification and interpretations of the 2D separation6 are acknowledged. In a previous paper on stereochemical analysis using GC×GC,7 it was demonstrated that a reversed configuration (i.e., enantioselective-first dimension opposite to the arrangement in conventional enantio-MDGC) gave adequate resolution of chiral components from interferences and allowed enantiomeric ratios to be calculated. Although enantio-GC×GC (enantio separation first) was a successful analysis, quantification of the individual isomers will be simplified if the GC×enantio-GC (enantio separation second) experiment can be used. The conceptual difference between enantio-GC×GC and GC×enantio-GC is illustrated in Figure 1. Figure 1A shows resolution of a single enantiomeric pair using an appropriate enantioselective stationary phase first dimension (D1) column. Because the second isomer has a higher elution temperature in temperature-programmed analysis, its D2 (second dimension) retention time is less than that of its partner. Hence, if the two peaks’ relative responses are to be measured, it is not possible to simply plot the chromatogram at an appropriate D2 retention (Figure 1A, line X). It is also not possible to measure total peak height (e.g., at peak maximum), since this is affected by the peak pulsing process, which may produce different modulation phase profiles for individual components in the GC×GC chromatogram.8 For enantio-GC×GC, peak volume is the only reliable measure. The alternative arrangement is offered in Figure 1B. Here, the achiral D1 column provides no resolution of the enantiomers, so the modulation process delivers the same relative proportion of each enantiomer to the second column for all successive modulation events. This proportion will be in exact ratio to the relative isomer abundances. Thus, provided that the two isomers are resolved on the D2 column, it is now possible to plot any D2 pulsed chromatogram for these peaks (e.g., Figure 1B, line Y) and directly measure the peak area ratio of the two isomers to give their relative abundances. Hence, achieving GC×enantio-GC is a valid goal for improved analysis. A complication arises for the GC×enantio-GC experiment, since there is a need for suitably fast elution on the second column. (4) Marriott, P.; Shellie, R.; Fergeus, J.; Ong, R.; Morrison, P. Flavour Fragrance J. 2000, 15, 225-239. (5) Lee, A. L.; Bartle, K. D.; Lewis, A. C. Anal. Chem. 2001, 73, 1330-1335. (6) Beens, J.; Blomberg, J.; Schoenmakers, P. J. J. High Resolut. Chromatogr. 2000, 23, 182-188. (7) Shellie, R.; Marriott, P.; Cornwell, C. J. Sep. Sci. 2001, 24, 11-24. (8) Ong, R.; Marriott, P. J. Chromatogr. Sci. 2002, 40, 276-291. 10.1021/ac025803e CCC: $22.00

© 2002 American Chemical Society Published on Web 09/17/2002

Figure 1. Simulated GC×GC chromatograms highlighting the conceptual differences between enantio-GC×GC and GC×enantio-GC. Table 1. Details of Capillary Columns Used in the Present Investigationa

a

column

phase type

manufacturer

column dimensions

film thickness, µm

1 2 3

EtTBS-βCD EtTBS-βCD DB-5

MeGA (Milan, Italy) MeGA (Milan, Italy) J&W Scientific (Folsom, CA

1 m × 100 µm 1 m × 250 µm 10 m × 100 µm

0.1 0.25 0.1

Note: shorter lengths of column 1 were also investigated, but the results are not included in the present report.

The speed requirements for the D2 separation in GC×GC are determined by the width of the D1 chromatographic peaks. Since overall peak resolution is reduced where the sampling rate of the D1 peaks is less than 4,9 the modulation period must be e0.25 times the 4σ base width of the D1 peaks. This rapid modulation requirement in turn determines that the retention time window of each D2 chromatogram is also on the order of one modulation period, to ensure that subsequent D2 chromatograms do not begin to run into one another. Little is known regarding fast stereoanalysis. Fast chiral separations (<1 min) using packed columns and near-critical fluid CO2 mobile phase10 have been reported, but data demonstrating sub-1 min stereoanalysis by open tubular column GC are lacking. Schurig reported that retentions on the order of a few seconds could be achieved for the stereoanalysis of an inhalation anesthetic on a γ-cyclodextrin (Lipodex E) phase.11 The extraordinarily large separation factor for the enantiomers in question allowed fast GC conditions to be employed. It is unusual for chiral terpenes to exhibit separation factors greater than 2 under conventional capillary GC analysis on presently available chiral columns. Typical D2 columns used for GC×GC are ∼1 m long, 100-µm i.d., with 0.1-µm film thickness producing D2 retention times of about the modulation period used for the experiment (e.g., in the range 3-7 s). It is likely that an enantioselective D2 column will also need to be of similar dimensions to give similarly fast elution. This constitutes a significant divergence from commercially available enantioselective column dimensions (typically 25 m, 250 µm, and 0.25 µm). Thus, it is important to establish the potential for short, narrowbore CDD columns to deliver the required performance. An additional route to improved speed is to employ vacuum outlet conditions.12 An ∼4-fold increase in analysis speed can be (9) Murphy, R. E.; Schure, M. R.; Foley, J. P. Anal. Chem. 1998, 70, 15851594. (10) Wu, N.; Chen, Z.; Medina, J. C.; Bradshaw, J. S.; Lee, M. L. J. Microcolumn Sep. 2000, 12, 454-461. (11) Schurig, V. J. Chromatogr. A 2001, 906, 275-299. (12) van Deursen, M.; Janssen, H.-G.; Beens, J.; Lipman, P.; Reinierkens, R.; Rutten, G.; Cramers, C. J. Microcolumn Sep. 2000, 12, 613-622.

realized as a result of subambient pressure conditions present in a capillary column. This requires the use of a wide-bore capillary and a restriction at the column inlet such that the entire column is maintained under vacuum. Mass spectrometry provides a useful tool for provision of both vacuum and detection of eluted compounds. The present investigation was designed to evaluate options for fast enantio separations and apply them to the GC×enantio-GC analysis of some flavor and fragrance volatiles. EXPERIMENTAL SECTION Columns. Details of the columns used in the present investigation are given in Table 1. For GC×enantio-GC experiments, a 1-m length of column 2 was coupled directly to the end of column 3 using a zero-dead-volume capillary column connector (SGE International, Ringwood, Australia). Instrumentation. GC(FID) analyses were performed using an HP6890 gas chromatograph (Agilent Technologies, Burwood, Australia). The GC was equipped with FID detection (operated at 50 Hz data acquisition), split/splitless injection, 7683 series injector, and Chemstation software. Details of the temperature program conditions and column head pressure are given in figure legends. The carrier gas was hydrogen. GC/MS analyses were performed using an HP6890 gas chromatograph coupled to an HP5973 mass selective detector (Agilent Technologies, Burwood, Australia). The GC was equipped with split/splitless injection, a 7683 series injector, and Chemstation software. For all analyses, the MS transfer line temperature was 220 °C. Using selected ion monitoring (SIM; 93 m/z ion selected) mode, a data acquisition rate of 8.33 Hz was achieved. Details of temperature program conditions and column head pressure are given in figure legends. The carrier gas was helium. Modulation. Both the GC and the GC/MS were retrofitted with Everest model LMCS units (Chromatography Concepts, Doncaster, Australia), and a modulation frequency of 0.13 Hz (7.5 s cycle) was applied in the GC×enantio-GC/MS experiments. Chemstation “event control” was used to control the modulation start-time and to achieve targeted MDGC analyses. The thermoAnalytical Chemistry, Vol. 74, No. 20, October 15, 2002

5427

Figure 2. Example of a typical chromatogram obtained on a short (1.0 m), narrow-bore (100 µm) CDD capillary column (column 1, Table 1). Conditions: 70 °C isothermal, linear carrier gas velocity 60 cm s-1. Identity of components: linalool (1), linalyl acetate (2), limonene (3), and camphor (4).

statically controlled cryogenic trap was maintained at ∼0 °C throughout. Data Handling. Data acquisition was performed using Chemstation software. GC×GC chromatogram files were exported in ASCII format (*.csv) for subsequent conversion to a suitable matrix format for 2D-visualization using 2DGC Converter version2.2 (Chromatography Concepts). Samples. A test mixture containing racemic R-pinene, racemic linalool, racemic linalyl acetate, D-limonene, L-limonene, and 1,8cineole was prepared in n-hexane such that the concentration of each compound was ∼0.1% v/v. All reference standards were provided by Australian Botanical Products (Hallam, Australia). An authentic bergamot essential oil sample was provided by Professor Luigi Mondello, (University of Messina, Italy). This sample was diluted 1:100 in n-hexane prior to analysis. RESULTS AND DISCUSSION Preliminary experiments to evaluate the performance of short narrow-bore CDD columns were performed by using a 1.0-m length of column (column 1; see Table 1) installed directly in the GC. Armstrong et al.,13 and Hardt et al.14 reported a strong temperature dependence of the separation factors for pairs of isomers, with high temperatures diminishing enantioresolution; thus, an investigation of temperature dependence was conducted simultaneously with experiments to determine the optimum linear carrier gas velocity for the 1.0-m capillary. An isothermal oven condition of 70 °C was chosen for all subsequent analyses, because this condition produced the fastest chromatograms for which sufficient resolution was maintained for the least resolved pair. Figure 2 shows a typical chromatogram obtained using a short, narrow-bore CDD column. The retention time of the second linalyl acetate isomer ((+) linalyl acetate) is 124 s. This would result in the peak’s being wrapped around some 24 times in GC×GC if a 5-s modulation period were used. The wrap-around effect arises when a component is retained on the second dimension column for a time greater than the modulation period. Where the retention time window of each D2 chromatogram is far greater than the (13) Armstrong, D. W.; Li, W.; Pitha, J. Anal. Chem. 1990, 62, 214-217. (14) Hardt, I.; Ko ¨nig, W. A. J. Microcolumn Sep. 1993, 5, 35-40.

5428

Analytical Chemistry, Vol. 74, No. 20, October 15, 2002

modulation period, it is impossible to achieve a GC×GC result. By increasing the linear carrier gas velocity to 120 cm s-1 (∼2 uj opt), the retention time of this component was reduced to 58 s; a further increase to 185 cm s-1 (∼3 uj opt) reduced the retention time to 37 s. A D2 retention time of 37 s would lead to a GC×GC peak wrapped around six times for 5-s modulation or four times for 7.5-s modulation. This is still excessive and would generally be unacceptable for routine sample analysis. Furthermore, at such high carrier gas velocity, poor resolution was observed. The use of shorter column lengths (ranging from 0.34 to 1.0 m) and various carrier gas velocities was also investigated. Hardt and Ko¨nig previously showed that shortening the column often produced an improved result;14 they studied lengths of 55, 40, 25, 10, and 4.5 m (the shorter lengths were cut from the longer column), and showed that the separation of enantiomers was much better with the 4.5-m column than with the 55-m column, in which conditions were adjusted to give the same elution times. In the present work, the loss of chromatographic efficiency in terms of the number of theoretical plates was too great for columns shorter than 1.0 m. The speed of the analysis was increased, and although (+)- and (-)-linalool could be adequately separated in most cases using shorter column lengths, limonene, camphor, and linalyl acetate antipodes were poorly resolved. Additional to the difficulty in achieving the desired analysis speed, the narrow bore column used was highly susceptible to overloading. The poor peak shape observed in Figure 2 illustrates the nonlinear chromatographic conditions for the individual sample components and demonstrates that the conditions are clearly inappropriate. Increasing the temperature may partially alleviate this, but would adversely affect the resolution of enantiomers. Problems with overloading of thinfilm narrow-bore CDD columns have been reported previously.15 Such a column dimension is not suitable for use in GC×enantioGC. Arising from the present investigations, it is therefore conceded that successful GC×enantio-GC analysis of flavor and fragrance compounds performed using ambient pressure outlet conditions and short, thin-film narrow-bore CDD columns is unlikely. The benefits of vacuum outlet conditions for fast GC using short capillary columns have been revisited recently and described in detail by van Deursen et al.12 Increases in speed, due in part to the high diffusion coefficient of the solute in the mobile phase, are a major advantage. Since reduced-pressure fast GC is suited for use with wide(r) bore capillary columns, the sample capacity of the column is greater.16 This was advantageous for the present experimental setup, in which injection of 1 µL of a 0.1% solution using high-split ratio (1000:1) split injection resulted in seriously overloaded peak shapes when the 100-µm column was used. Use of the 250-µm column gave symmetrical D2 peaks, where a 0.1% solution was analyzed using more conventional (100:1) split injection. By using the combination of a 10 m × 100 µm D1 column and a 1 m × 250 µm D2 column, the required conditions for reduced pressure in the D2 column can be met. The 10-m D1 column acts as a restrictor at the front end of the D2 column. Unlike previous reports on vacuum GC studies, here the restrictor column has an (15) Juvancz, Z.; Grolimund, K.; Schurig, V. J. High Resolut. Chromatogr. 1993, 16, 202-204. (16) Ettre, L. S. J. High Resolut. Chromatogr. Chromatogr. Commun. 1985, 8, 497-501.

Figure 4. Expanded GC×enantio-GC/MS chromatogram showing two successive modulation pulses presented as vertical transects from data in Figure 4. Peaks from the earlier pulse are identified with an asterisk (*), and the subsequent pulse with a hash sign (#). Figure 3. 2D separation space for the GC×enantio-GC/MS analysis of a standard mixture. Conditions: 70 °C isothermal, initial head pressure 89.18 psi, SIM m/z 93 ion. Identity of components: linalool (1), linalyl acetate (2), limonene (3), 1,8-cineole (5), and (()-R-pinene (6).

extra purpose, namely, to provide separation of the sample components. D2 retention times for all of the components in the test mixture were determined using the “targeted MDGC mode” of the LMCS,17 allowing the components to be held in the cryotrap zone and pulsed to the second, enantioselective column as a discrete event. The D2 retention time of the most-retained peak using the GC×enantio-GC/MS column set configuration is 38 s. Linalool had a D2 retention time of <15 s; limonene retention was <10 s. Greatly improved peak shape was observed, and resolution of the components in the test mixture that could be expected to be resolved on this stationary phase was as follows: limonene Rs ) 1.4, linalool Rs ) 1.6, linalyl acetate Rs ) 0.8. The column set for the GC×enantio-GC/MS experiments was later installed in a GC with FID (ambient pressure) detection in order to estimate the magnitude of the speed increase as a result of performing the analysis under vacuum conditions. Using targeted MDGC, the D2 retention times of the components in the test mix could be determined. The increase in D2 analysis speed was on the order of 4 times when the D2 column was operated under subambient pressure conditions (e.g., 38s for (+)-linalyl acetate, as compared to 154 s in atmospheric outlet conditions). Figure 3 shows the 2D separation space for the GC×enantioGC/MS analysis of the test mixture for which the elution pattern of each enantiomeric pair is consistent with the predicted result above (see Figure 1B). An expanded region of the GC×enantioGC/MS pulsed chromatogram showing two modulation pulses is given in Figure 4. The ratio of the (+) and (-) isomers of limonene for each of the successive pulses is equal, as predicted. The peak areas of the (+) and (-) isomers in pulse 1 in Figure 4 are 14 028 and 6136, respectively (67% (+)-limonene). The comparable peak areas of the (+) and (-) isomers in pulse 2 in Figure 4 are 6894 and 3015, respectively (also giving 67% (+)limonene). Peak area values were taken directly from the Chemstation integration result. GC×enantio-GC/MS analysis of the monoterpenes in an authentic essential oil sample was performed to test the applicabil(17) Marriott, P. J.; Ong, R. C. Y.; Kinghorn, R. M.; Morrison, P. D. J. Chromatogr. A 2000, 892, 15-28.

Figure 5. 2D separation space for the GC×enantio-GC/MS analysis (SIM m/z 93 ion) of bergamot essential oil (monoterpene region shown). Conditions as per Figure 4 legend. Additional compounds are γ-terpinene (7) and sabinene (8). Responses of R-terpineol peaks are below the contour level plotted.

ity of this new method for more complex sample analysis. Figure 5 is the result from the analysis of bergamot essential oil. The enantiomeric distribution of the components for which successful stereoanalysis could be performed is reported in Table 2. The calculated values were compared with those from previously published analyses. The favorable comparison with results obtained by conventional enantio-MDGC18 for a similarly sourced bergamot oil sample indicates that this new technique produces a valid result. An important extra consideration is the time in which the analysis was performed. Using GC×enantio-GC/MS, the enantiomeric distribution of these optically active monoterpene compounds in bergamot oil was determined in a total analysis time of 12 min. (The separation of the monoterpenes of interest was completed within 8.5 min, at which time the oven was rapidly heated to 250 °C in order to elute the higher-boiling sample components). Stereochemical analysis of the monoterpene region of essential oils usually provides sufficient information to determine the authenticity of the oils;19 hence, the methodology above (18) Mondello, L.; Verzera, A.; Previti, P.; Crispo, F.; Dugo, G. J. Agric. Food Chem. 1998, 46, 4275-4282. (19) Bicchi, C.; D’Amato, A.; Manzin, V.; Rubiolo, P. Flavour Fragrance J. 1997, 12, 55-61.

Analytical Chemistry, Vol. 74, No. 20, October 15, 2002

5429

Table 2. Comparison of the Enantiomeric Distribution of Some Monoterpenes in Bergamot Essential Oil by Two Different Methods

component

% (+) GC×enantio-GC/MS (present study)

% range (+)-enantio-MDGC19

β-pinene sabinene limonene linalool terpinen-4-ol R-terpineol linalyl acetate

15 97 0.8 a 42 ∼0b

6.8-9.5 14.1-18.8 97.3-98.1 0.3-0.6 9.7-26.3 17.5-69.4 0.1-0.3

a Terpinen-4-ol is reported to be present in trace amount in bergamot oil;18 neither isomer was quantifiable using the present MS configuration. b The minor isomer (+)-linalyl acetate was present in trace amount only.

provides potential opportunities for increasing the throughput of these important analyses for quality assurance purposes. CONCLUSION The challenge of achieving fast chiral analysis in the second dimension in GC×GC was addressed. Conventional means of increasing elution speed, such as flow rate or temperature increase or shorter column length, were not generally useful, as these were shown to significantly reduce enantioresolution. Vacuum outlet conditions, through the use of a conventional quadrupole mass spectrometer in combination with a narrower-bore first-dimension and a wider-bore second-dimension column, reduced the second-

5430

Analytical Chemistry, Vol. 74, No. 20, October 15, 2002

dimension retention sufficiently to permit comprehensive GC analysis to be performed. Using the conditions described, the enantiomeric monoterpenes in bergamot oil were analyzed in ∼8.5 min. Although enantioselective separation might not appear to be improved over that possible when using standard column dimensions, GC×GC allows the opportunity for separation of target components from possible interfering solutes. However, the critical requirement of GC×GC is the demand for very fast elution in D2. Enantioselectivity in D2 permits easier quantitative chiral ratio determination while still allowing separation from otherwise interfering components. Vacuum conditions in D2 will reduce component retention factors and also has the advantage of increasing diffusion coefficients and loadability. Linear chromatography conditions are maintained at higher total sample mass. In the specific example of chiral analysis, peak shapes are also improved, as compared with those when ambient outlet pressure is used. The described methodology may also be a useful approach to general faster GC×GC analysis, for which high peak capacity and reduced analysis time are the desired goals. Although the result achieved here does not meet the high D2 efficiency generally seen in GC×GC because of the strong guest-host association and consequent high retention factor of chiral solutes, the approach demonstrates the direction that further investigations might take in developing comprehensive GC analysis of enantiomers. Received for review May 26, 2002. Accepted August 22, 2002. AC025803E

Comprehensive Two-Dimensional Gas ... - Semantic Scholar

and delivered to the analytical column, which provides resolution and quantitative .... near-critical fluid CO2 mobile phase10 have been reported, but data.

90KB Sizes 0 Downloads 249 Views

Recommend Documents

a comprehensive bangla spelling checker - Semantic Scholar
suggestions), compare the methodologies with existing solutions available in the ... is an essential component of many of the common desktop applications.

a comprehensive bangla spelling checker - Semantic Scholar
spelling checker, one such application, is an essential component of many of the common desktop applications such as word processors as well as the more ...

Hardware Compilation of the ProCoS Gas Burner ... - Semantic Scholar
development of hardware compilation techniques using an Occam-like language ... Optimization 13] and decompilation 2, 9] have been investigated for software ... A skip waits for one clock cycle before proceeding using a latch to create the ...

Hardware Compilation of the ProCoS Gas Burner ... - Semantic Scholar
The compilation of hardware and software together, with consideration ... A skip waits for one clock cycle before proceeding using a latch to create the delay ...

lattice gas cellular automaton modeling of surface ... - Semantic Scholar
now equal to Lpl, and we define a uniform random vari- able that determines where the adatom, if created, will land. Thus, we require only two random number gen- erations. Once the adatom lands on a particular lattice site r, we increase the height a

Cyclic gas-exchange in the Chilean red cricket ... - Semantic Scholar
program recorded in the Expe Data software (Sable Systems), in order to (1) correct ... Common statistical analyses were performed with Statistica. 6.1 (Statsoft Inc ... Spectrum analysis is concerned with the exploration of cyclical patterns of ...

Physics - Semantic Scholar
... Z. El Achheb, H. Bakrim, A. Hourmatallah, N. Benzakour, and A. Jorio, Phys. Stat. Sol. 236, 661 (2003). [27] A. Stachow-Wojcik, W. Mac, A. Twardowski, G. Karczzzewski, E. Janik, T. Wojtowicz, J. Kossut and E. Dynowska, Phys. Stat. Sol (a) 177, 55

Physics - Semantic Scholar
The automation of measuring the IV characteristics of a diode is achieved by ... simultaneously making the programming simpler as compared to the serial or ...

Physics - Semantic Scholar
Cu Ga CrSe was the first gallium- doped chalcogen spinel which has been ... /licenses/by-nc-nd/3.0/>. J o u r n a l o f. Physics. Students http://www.jphysstu.org ...

Physics - Semantic Scholar
semiconductors and magnetic since they show typical semiconductor behaviour and they also reveal pronounced magnetic properties. Te. Mn. Cd x x. −1. , Zinc-blende structure DMS alloys are the most typical. This article is released under the Creativ

vehicle safety - Semantic Scholar
primarily because the manufacturers have not believed such changes to be profitable .... people would prefer the safety of an armored car and be willing to pay.

Reality Checks - Semantic Scholar
recently hired workers eligible for participation in these type of 401(k) plans has been increasing ...... Rather than simply computing an overall percentage of the.

Top Articles - Semantic Scholar
Home | Login | Logout | Access Information | Alerts | Sitemap | Help. Top 100 Documents. BROWSE ... Image Analysis and Interpretation, 1994., Proceedings of the IEEE Southwest Symposium on. Volume , Issue , Date: 21-24 .... Circuits and Systems for V

TURING GAMES - Semantic Scholar
DEPARTMENT OF COMPUTER SCIENCE, COLUMBIA UNIVERSITY, NEW ... Game Theory [9] and Computer Science are both rich fields of mathematics which.

A Appendix - Semantic Scholar
buyer during the learning and exploit phase of the LEAP algorithm, respectively. We have. S2. T. X t=T↵+1 γt1 = γT↵. T T↵. 1. X t=0 γt = γT↵. 1 γ. (1. γT T↵ ) . (7). Indeed, this an upper bound on the total surplus any buyer can hope

i* 1 - Semantic Scholar
labeling for web domains, using label slicing and BiCGStab. Keywords-graph .... the computational costs by the same percentage as the percentage of dropped ...

fibromyalgia - Semantic Scholar
analytical techniques a defect in T-cell activation was found in fibromyalgia patients. ..... studies pregnenolone significantly reduced exploratory anxiety. A very ...

hoff.chp:Corel VENTURA - Semantic Scholar
To address the flicker problem, some methods repeat images multiple times ... Program, Rm. 360 Minor, Berkeley, CA 94720 USA; telephone 510/205-. 3709 ... The green lines are the additional spectra from the stroboscopic stimulus; they are.

Dot Plots - Semantic Scholar
Dot plots represent individual observations in a batch of data with symbols, usually circular dots. They have been used for more than .... for displaying data values directly; they were not intended as density estimators and would be ill- suited for

Master's Thesis - Semantic Scholar
want to thank Adobe Inc. for also providing funding for my work and for their summer ...... formant discrimination,” Acoustics Research Letters Online, vol. 5, Apr.

talking point - Semantic Scholar
oxford, uK: oxford university press. Singer p (1979) Practical Ethics. cambridge, uK: cambridge university press. Solter D, Beyleveld D, Friele MB, Holwka J, lilie H, lovellBadge r, Mandla c, Martin u, pardo avellaneda r, Wütscher F (2004) Embryo. R

Physics - Semantic Scholar
length of electrons decreased with Si concentration up to 0.2. Four absorption bands were observed in infrared spectra in the range between 1000 and 200 cm-1 ...

aphonopelma hentzi - Semantic Scholar
allowing the animals to interact. Within a pe- riod of time ranging from 0.5–8.5 min over all trials, the contestants made contact with one another (usually with a front leg). In a few trials, one of the spiders would immediately attempt to flee af

minireviews - Semantic Scholar
Several marker genes used in yeast genetics confer resis- tance against antibiotics or other toxic compounds (42). Selec- tion for strains that carry such marker ...