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Limiting Magnitude in Binoculars
(edz) wrote in message . com...
edz - Thank you again for taking the time to actually go out and collect some field observations on limiting magnitude for binoculars. Having prepared one of these cluster magnitude charts myself, I know how much time it involves. Your collection of observations is a good start in the right direction. This post was made without reviewing the entire current thread, but have bottom posted to the most recent entry. My apologies in advance if some points have already been addressed. The overall objective of the July binocular limiting magnitude thread concerned whether generally accepted formulae for the prediction of limiting magnitude in telescopes could be applied directly to binoculars in varying conditions of light pollution. It was suspected there might be an inherent difference in the depth to which binoculars could see as compared to monocular telescopes of the same aperature rating, because the total surface area of the binocular is 1.414 (or the square root of 2) of a similar sized rated monocular. It was concluded that there was a lack of reported studies, particularized to binoculars, in popular and professional astronomny literature concerning the limiting magnitude of binoculars. For example, Harrington's popular work, Star Ware (1994), reports a "binocular limiting magnitude table", that is simply a reprint of earlier work on the limiting magnitude of monocular telescopes from Sidgwick's Amateur Astronomer's Handbook. The Carlin formula was discussed as a working hypothesis. The Carlin (Carlin 1997) formula has the form: m = 3*Log(A) + 2*Log(X) + 0.6 + v where m = magnitude of faintest star (point source) visible in binocular A = aperture in cm X = magnification v = magnitude of faintest star visible to the naked eye At the end of the July thread, it was concluded that amateur astronomy generally could benefit from the gathering of amateur field observations designed to accept or reject the Carlin formula as a hypothesis, or to develop an alternative model, for the limiting magnitude of binoculars. Such information would be of use in responding to "what can I see at night" questions from binocular observers, considering the increasing post-industrial environmental problem of light pollution. Older Sidgwick-type telescopic models do not account for light-pollution as a factor; the modern Schaefer (1989) model was developed for and tuned using amateur observations from monocular telescopes. Unfortunately, I do not agree with one of the conclusions of the Cloudy Nights article "Limiting Magnitude in Binoculars". Specificially that CN's conclusion that "the formula prediction produces results too high (by 0.5) at mag 5.8 NELM and equally to low at mag 4.4 NELM." Similarly: "Is Carlin's formula incorrectly applied by assuming the calculated increase in magnitude should be added linearly to current NELM? . . . Chart 2 clearly shows the difference in predicted affect of NELM vs actual affect of NELM. . . . . The limiting magnitude in binoculars (or scopes) will increase or decrease as NELM changes, however the relationship is not linear." See "Summary and conclusions" in "Limiting Magnitude" at http://www.cloudynights.com/articles...culars.htm/#20 and "What effect does NELM have?" in "Limiting Magnitude" at http://www.cloudynights.com/articles...culars.htm/#10 Although it is important that you, unlike most other amateurs, made the effort to collect observations, a sufficient number of observations have not been collected to reject or accept, from a statistical viewpoint, the Carlin formula for predicting limiting magnitude, when applied to binoculars instead of monocular telescopes. Boiling down the CN "Limiting Magnitude" article, 15 useful observations were recorded, as listed in Table 1: =============================== Table 1 - Extracted CN observations Date NELM Bino Star Mag 09/22/2003 5.6 10x50 S7 10.1 * 09/16/2003 5.6 12x50 S12 10.0 09/22/2003 5.6 12x50 S8 10.2 09/12/2003 5.0 15x70 S10 10.1 09/21/2003 5.1 15x70 E10 10.5 08/19/2003 5.2 15x70 E3 10.3 09/16/2003 5.6 15x70 E6 10.4 09/22/2003 5.6 15x70 E12 10.8 * 09/16/2003 5.6 16x60 E6 10.4 09/22/2003 5.6 16x60 E12 10.8 * 09/12/2003 5.0 16x70 No rpt 10.3 08/19/2003 5.2 16x70 E3 10.3 09/16/2003 5.6 16x70 E12 10.8 * 09/22/2003 5.6 16x70 S20 10.8 * 09/22/2003 5.6 08x42 S5 9.5 Table 1 - Notes: * = Rounded magnitude NELM = Naked eye limiting magnitude with 4° of cluster Star = Faintest "direct vision" star reported by CN on an observing night with one scope. Excludes averted vision reports. Mag = Magnitude of fainest star seen by CN on an observing night with one scope. Observations extracted from Cloudy Nights Site: http://www.cloudynights.com/articles...noculars.htm#9 (accessed 10-5-2003) ======================== "An observation" for the purposes of this discussion is the faintest star seen: 1) by an observer on a one night 2) using a particular binocular class 3) that can be paired with a unique NELM observation taken within that night. "NELM", as explained by Harold Lang in the July threads, for the purposes of applying Carlin's formula refers to the naked-eye limiting magnitude in the area of approximately 4° around the area of observation. It may be off-zenith but should be located close to the area of observation. ZLM refers to "zenithal limiting magnitude" or the visual limiting magnitude at the observer's local zenith. McBeath 1991 defines visual limiting magnitude as being "usually defined as being equal to the brightness of the faintest star just visible to the slightly-averted, fully dark-adapted, unaided eye." Off zenith NELM readings might be taken for any part of the local observer's sky, i.e. - the NELM near Ursa Major. Without reporting the date, time and location of the observation, it is not possible to normalize NELM observations from different observers for the effect of atomspheric extinction. Based on the text of the "Limiting Magnitudes" article alone, not contacting Ed directly for data clarifications and not reviewing his recent data clarification posts in depth, observations on the dates listed in Table 2 are discarded for the purpose of this discussion: ======================== Table 2 - CN observations discarded for this post Date Reason discarded 08/23/2003 From published description, binoculars cannot be paried with specific measurements. 09/10/2003 Cannot pair NELM near cluster field on two dates (v4.0 and 4.5) with measurements on differing dates 09/11/2003 Cannot pair NELM near cluster field on two dates (v4.0 and 4.5) with measurements on differing dates 09/14/2003 No NELM near field of open cluster reported. Only NELM around Ursa Major reported. Source: Observations extracted from Cloudy Nights Site: http://www.cloudynights.com/articles...noculars.htm#9 (accessed 10-5-2003) ======================== Table 3 lists 4 observations of "averted" limiting magnitude that were not applied for the purpose of this discussion on the grounds of consistency in data collection: ======================== Table 3 - Averted vision readings - Deferred in favor of direct reading and where the averted reading is the lowest magnitude for that scope on that night Date NELM Bino Star Mag Comments 9/21/2003 5.1 15x70 S16 10.8 "The faintest star was barely glimpsed." 9/22/2003 5.6 08x42 S9 10.0 "S9-10e was suspected averted" 9/22/2003 5.6 12x50 E6 10.4 "averted suspected" 9/22/2003 5.6 16x60 E7 10.8 "E7-10e averted suspected" Observations extracted from Cloudy Nights Site: http://www.cloudynights.com/articles...noculars.htm#9 (accessed 10-5-2003) ======================== As can be seen in Table 4, a cross-table summary of Table 1 above, an insufficient number of observations has been made within each binocular class to make any statistically valid conclusion rejecting or accepting the Carlin formula as a predictive tool for amateur binocular observers: ======================== Table 4 Count of NELM-Mag CN observations by binocular class and magnitude observation Mag range Bino 5-5.5 5.6-6 Total 10x50 1 0 1 12x50 2 2 15x70 3 2 5 16x60 2 2 16x70 2 2 4 08x42 1 1 Total 5 10 15 Source: Table 1 above. ======================== For example, only 1 useful reading was taken in the 8x42 and 10x50 classes; 2 in the 12x50 class; 2 in the 16x60. As discussed in the remainder of this post, the remaining observations regarding 70mm aperature binoculars are also of insufficient number to warrant reaching any firm conclusions at this time, although the data collected is as good start. Nevertheless, some initial working discussions can be had by combining the nine useful 70mm aperature readings at 15 and 16 magnification into one theoretical 15.5 magnification cohort: ======================== Table 5 - Extracted CN observations for 15x70 and 16x70 class N=9 Date NELM Bino Star Mag Carlin predicted 09/12/2003 5.0 15x70 S10 10.1 10.5 09/21/2003 5.1 15x70 E10 10.5 10.6 08/19/2003 5.2 15x70 E3 10.3 10.7 09/16/2003 5.6 15x70 E6 10.4 11.1 09/22/2003 5.6 15x70 E12 10.8 11.1 09/12/2003 5.0 16x70 No rpt 10.3 10.5 08/19/2003 5.2 16x70 E3 10.3 10.7 09/16/2003 5.6 16x70 E12 10.8 11.1 09/22/2003 5.6 16x70 S20 10.8 11.1 =================================== Graphically, Table 5 is shown in Figure 1, posted at my personal web site: http://members.csolutions.net/fisher...ude_CN_obs.gif Lumping the 15 and 16 magnitude observations into one cohort for the purposes of working discussions is justifable because the result of the Carlin formula is not very sensitive to minor changes in magnification. Recall the Carlin formula is: m = 3*Log(A) + 2*Log(X) + 0.6 + v where 2*Log(X) is the log of the magnification, and v is the subjective NELM estimate of the observer. The difference between 15 and 16 magnification on a 70mm aperature (2*LOG(16)-2*LOG(15)) contributes only 0.05 magnitude to Carlin's predicative result. So grouping the Cloudy Nights 15 and 16 magnification measurements into one hypothetical "15.5" magnification group is warranted for discussion purposes. Conversely, the predictive result of the Carlin formula is much more sensitive to variations in the subjective estimate of NELM around the area of observation. Taking the bottom 9/22/2003 reading in Table 5, above, as an example, the NELM is 5.6, the faintest star seen is v10.8 and the Carlin prediction is v11.1. Now if the variation in the observer's subjective estimate of NELM is only +-0.3 magnitudes, then the 9/22/2003 observation may actually lie at v10.5 or on Carlin's predictive line at v11.1. I generally recall that amateur observers using general star charts can estimate ZLM accurately to within +-0.5 magnitudes. (Citation omitted.) The +-0.5 variance in ZLM collection can be improved to between +-0.1 to 0.3 using special purpose magnitude finder charts. (While I have no doubt as an experienced observer that you can estimate NELM accurately to 0.2-0.3 mags, your NELM sources were not standardized and are not reproducible.) Two standard online sources providing such charts a McBeath, A. Visual limiting magnitude determination charts. J.British Astr. Assoc. 101(4), 213-218 (1991) available online through NASA ADS at: http://adsabs.harvard.edu/cgi-bin/np...e1256dbbb04629 International Meteor Observer Association. 2003. Visual Meteor Observations. (Web page). http://www.imo.net/visual/ (accessed October 5, 2003) with links to: IMO Limiting magnitude areas http://www.imo.net/visual/major01.html#table2 IMO Limiting magnitude tables for LM areas http://www.imo.net/visual/lm.html I prefer the IMO charts, as the IMO provides a total of thirty estimating areas and their star counts are sufficient to estimate magnitude in 10ths of "v". (The IMO web server response is erratic. You may have to try accessing it on more than one day to get a connection. I believe the IMO homepage is physically located in Europe. A useful local astronomy club project might to be mirror the IMO limiting magnitude tables on a U.S. based server for better North American access. The American Meteor Assoc. does not mirror the IMO limiting magnitude tables. Personally, I grabbed an offline personal reference copy of the IMO LM tables using MS-Internet Explorer's "save as web page - complete" option.) For the purpose of testing Carlin's formula on binoculars by collecting NELM data in a 4 degree circle around the observation cluster, variation in NELM can be minimized by choosing an observation cluster (such as your selection of Brocchi's Cluster) that is within or immediately adjacent to one of the areas defined in NELM estimating charts provided by these two sources. Figure 1 graphically represents a +-0.5 variation in the gathering of NELM with high and low bars on each plotted observation point. members.csolutions.net/fisherka/astronote/optics/Binocular limiting magnitude CN obs.gif (created October 6, 2003) The only way to resolve the statistical variation in subjective estimatation of NELM is to collect a larger sample using standard reference sources like McBeath or the IMO, i.e. - collecting between 16 and 30 observations spread throughout all sky brightnesses shown in Figure 1 for one class of binoculars. Then you will have enough data to make statistical inferences either accepting or rejecting the Carlin formula as a working hypothesis. My Figure 1 does not differ from the CN conclusion that "the actual BLM very closely matches the [Carlin] formula prediction in the range to just both sides of mag 5.2 NELM." Where my Figure 1 and this post differs from the CN article's conclusion is about making any extrapolations outside the area of useful observations collected between v5.2 and v5.6, e.g. - CN's conclusion that "But the formula prediction produces results too high (by 0.5) at mag 5.8 NELM and equally to low at mag 4.4 NELM." An insufficient number of useful observations have been reported to date to make any interpretations outside the v5.2-v5.6 box of useful Cloudy Nights observations. My suggestions for improving amateur observation collection, in particular by taking steps to minimize the variation inherent in estimating visual limiting magnitudes, a 1) Collect a total of thirty observations in any one binocular class before doing analysis and interpretation. Concentrate on a particular binocular class until a recommended level of 30 total observations are collected across all sky brightnesses. 2) Observations should be collected by a number of different observers to prevent the effect of observer bias (and/or skill) in estimating NELM from overwhelming other effects. 3) NELM should be estimated using charting areas in one of the two reference sources listed above. This provides a commonly available methodology for use by differing observers at different locations. Alternatively, amateur prepared NELM charts should be published online and first "vetted" by the amateur observing community. 4) A limited number of observations should be taken within 1 hour after the first 1/2 hour reaching full dark-eye adaption to minimize variations in the subjective appearance of sky brightness that can occur after several hours of viewing with a dark adapted eye. This is intended to minimize variations in NELM between different skill levels of amateur observers. 5) The cluster selected of estimating binocular limiting magnitude should be within or immediately adjacent to either a McBeath or IMO visual limiting magnitude charting area. 6) The date, time, lat and lng of observations should be reported so the observations of differing observers can be pooled and normalized for atmospheric extinction effects. Reporting the local horizon altitude of the observed cluster would be helpful. 7) Cluster magnitudes should be derived from a common online available reference source, such as the easily accessed Webda open cluster data site. http://obswww.unige.ch/webda/ (accessed 10/2003). This provides a common methodology for use by differing observers at different locations. (I'll address using the Webda online open cluster database to quickly generate telescopic limiting magnitude charts in a separate post. Edz's reference to the chart for Brocchi's Cluster from Covington qualifies.) Item #5 is a tall order considering that the selected cluster, like Brocchi's Cluster, needs to be adjacent to a McBeath or IMO charting, has to have stars that are sufficiently spatially dispersed in arcseconds to allow binocular viewing, and also must contain enough stars dispersed across a magnitude range applicable to binocular observation (e.g. v8.0-13.0). Brocchi's Cluster is sufficiently close to the IMO visual limiting magnitude chart area for Aquila to estimate NELM. While enjoying the open cluster festival between Cepheus and Perseus this year, I made some back of the napkin notes on potential clusters suitable of binocular limiting magnitude tests. My rough notes list the following candidates: a) M52, the Salt and Pepper open cluster between Cep and Cas; IMO Charting Area 7 in Cep is the closest charting area for estimating NELM. I believe there is an online published chart of magnitudes for M52, but have not tracked down the cite for the purposes of this post. b) Caldwell 28 (NGC 752), a nearby open cluster of primarily OB stars, that is near McBeath's beta Andromeda Chart No. 2 and IMO Charting Area 18, for estimating visual limiting magnitude. c) Stock 2, the Muscle Man Cluster, next to the Perseus Double-Cluster; no nearby McBeath or IMO charts. d) M34 (NGC1039), open cluster in Perseus; M34 is bracketed between NELM charting areas IMO Chart 2 for eastern Perseus and IMO Chart 18 and McBeath Chart 2, both for And. e) NGC1664, open cluster in Auriga that is within McBeath Chart 3 for alpha Auriga (Cappella) and is near IMO Charting Area 17, also for alpha Auriga. f) NGC1647, a large nearby OB open cluster in Taurus between alpha Tau and beta Cap. It is near IMO Charting Area 8 for eastern Taurus. g) NGC1746, a non-existent recovered object consisting of OB open clusters NGC1750 and 1758, also between alpha Tau and beta Cap, and is near IMO Charting Area 8. But other than make a list of candidates, I have not evaluated or charted any of these candidates in detail. I have not progressed as far as your excellent effort. Ed, you've done a lot of great work, for which you should be commended. It's amazing how much it takes to collect 15 good data poinsts. By discussing your article at some length and evaluting the strenght of analysis, I do not intend to deter you from your great efforts or the continuing development of the July and October threads on binocular limiting magnitude in either light polluted or high quality Bortle skies. Regards - Kurt References: Carlin, N.O. 1997. Another interpretation of the data from Blackwell, H.R. (1946): Contrast Thresholds of the Human Eye. (Web page). http://w1.411.telia.com/~u41105032/visual/limiting.htm (accessed July 2003) Clark, Roger N. 1991. Appendix B entitled "Finding your limiting magnitude". In Visual Astronomy of the Deep Sky. Cambridge Univ. Press. (Compendium of magnitude charts of open clusters suitable for telescopic, but not bincoular, limiting magnitude testing.) Phillips S. Harrington, Star Ware (2d ed. 1994) (John Wiley & Sons, Inc.) republished at http://www.stargazing.net/david/cons...manystars.html accessed July 2003 International Meteor Observer Association. 2003. Visual Meteor Observations. (Web page). http://www.imo.net/visual/ (accessed October 5, 2003) McBeath, A. Visual limiting magnitude determination charts. J.British Astr. Assoc. 101(4), 213-218 (1991) available online through NASA ADS at: http://adsabs.harvard.edu/cgi-bin/np...e1256dbbb04629 Sidgwick, J.B. Amateur Astronomer's Handbook. (3rd ed. 1980 Dover) Univ. of Lorraine. 2003. Webda Online Open Cluster Database. http://obswww.unige.ch/webda/ (accessed 10/2003) Zarenski, E. (Cloudy Nights, amatuer observer). 2003. Limiting Magnitude in Binoculars. http://www.cloudynights.com/articles/LM-binoculars.htm (accessed October 2003) |
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Limiting Magnitude in Binoculars
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Limiting Magnitude in Binoculars
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Limiting Magnitude in Binoculars
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Limiting Magnitude in Binoculars
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Limiting Magnitude in Binoculars
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Table 5 - Extracted CN observations for 15x70 and 16x70 class N=9 Date NELM Bino Star Mag Carlin predicted 09/12/2003 5.0 15x70 S10 10.1 10.5 09/21/2003 5.1 15x70 E10 10.5 10.6 08/19/2003 5.2 15x70 E3 10.3 10.7 09/16/2003 5.6 15x70 E6 10.4 11.1 09/22/2003 5.6 15x70 E12 10.8 11.1 09/12/2003 5.0 16x70 No rpt 10.3 10.5 08/19/2003 5.2 16x70 E3 10.3 10.7 09/16/2003 5.6 16x70 E12 10.8 11.1 09/22/2003 5.6 16x70 S20 10.8 11.1 =================================== Graphically, Table 5 is shown in Figure 1, posted at my personal web site: http://members.csolutions.net/fisher...ude_CN_obs.gif I DEMAND THAT YOU TAKE ANY REFERNCE USE OF MY DATA OFF OF YOUR PERSONAL WEBSITE IMMEDIATELY. ED ZARENSKI |
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Limiting Magnitude in Binoculars
Ed,
I can assure you I will not be discussing my article witrh YOU! You are over-reacting to some well-intended criticism. I enjoyed reading your clarification of the steps you took to limit variation in the collection of NELM measurements, which was the thrust of your response post. Nonetheless, I bear you no ill will. Per your request I will add to you my blocked senders list and will cease to communicate with you. I will however continue to participate in binocular limiting magnitude threads. To other lurkers, I apologize that these last few messages have broken down into an inappropriate flame. This is an interesting area of amateur astronomy and I hope you will all continue to be interested in it and work on it. I will ramp back to lurker status, not in response to Ed's intimidating style, but so that flame conflict in this thread can take a proper back seat to discussion of the facts. Ed's study is one of hopefully several amateur efforts. At the end of my last post to Ed, the list of candidate cluster targets, NELM charting areas and a suggested approach may be of use as a starting point for anyone else interested in performing a study similar to that conducted by Ed. Further amateur studies will continue to provide confirmation and insight into this area. I believe you have manipulated my data for your own purposes and in doing so have done a great dis-service to the community. I believe you should retract what you have written. Ed, I read your article several times before responding. I think I gave the "Assessing and recording NELM" section a fair read. To my knowledge, I have no hidden agenda that you describe. To some extent, you claim of data misuse has to be laid back to ambiguity in way you wrote the "Assessing and recording NELM" section. But that's the advantage of internet distribution. Hopefully, such things can be weeded out early and corrected, whether the miscommunication is on the sending or receiving side. I do not believe that my well-intended efforts are a disservice to the amateur astronomy community. Amateur science by flame intimidation is. As far an apology for any perceived personal offense to you, you have it. As far an apology to the community as a whole, what I did is not so far out of bounds that it deserves your over-reacting flame style. Therefore, I decline to retract my prior post as an offense to the usenet community or as a supposed abuse of data in your article. The thrust and underlying comment in my reply remains sound: Reducing variation when collecting NELM is key to deciding whether Carlin's formula can be rejected as a working hypothesis. Excessive variation in NELM can break down any perceived relationship or lack of relationship between Carlin's formula and the collected observations. In response to my concern that your NELM readings might have a level of variation in them that would prevent accepting or rejecting the Carlin formale as a working hypothesis, I appreciate reading your continuing clarifications of your article. All my NELM charts are not only reproducable, but are readily available, if you want to take the time and effort to discover. I did take the time to look at your site prior to posting for the wide-area NELM charts you described and did not locate them. If you can post a page link, I would like to have a look at them. I'm sure many people in this usenet group would appreciate adding it to their observing kits. Again, Ed, per your request, I will add you to my blocked senders list and cease to communicate with you. Peace. Regards. Clear skies. - Kurt "edz" wrote in message om... (PrisNo6) wrote in message snip |
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Limiting Magnitude in Binoculars
Ed, Per your request the file that is causing you so much disconcernation has been removed from my personal web site.
Be well - Kurt "edz" wrote in message . com... snip http://members.csolutions.net/fisher...ude_CN_obs.gif I DEMAND THAT YOU TAKE ANY REFERNCE USE OF MY DATA OFF OF YOUR PERSONAL WEBSITE IMMEDIATELY. ED ZARENSKI |
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Limiting Magnitude in Binoculars
Kurt (PrisNo6) grossly misrepresented my work, I've made that clear
above. This is how I feel about it. His Method Reworking my technical approach into a 400 line technical work of his own. Discrediting my work with a grossly misrepresentative analysis without ever asking a single question or requesting a single clarification. His Approach He blindly analyzed my written work without full acknowledgement of detail available. He selectively misrepresented data while obviously overlooking pertinent facts provided in the original work. His Argument Not enough clarification in my source work to prevent him from making all the wrong assumptions and improper misrepresentations he made, so it's not his fault, it's my fault he misrepresented my work. His Response A defense behind supposed ambiguity. After the fact request for clarifications. Continued claim of his valid approach while continuing claims of supposed ambiguity in my data. Accusing me of causing a flame war after so grossly misrepresenting my work. Apologizing to the community for my outrage towards him. How do you like that, I get totally misrepresented by someone with an apparent motive to defend his own work, and by exposing his gross misrepresentation of my work, I get accused of flaming. Of course, we are to believe that what he did was just fine! Sounds almost like my two teenagers defending their lack of wisdom in making inappropriately wrong decisions in life, but not being able to admit they did anything wrong. Do you want someone like this posting apparently informed technical responses to your work? I don't. I can take criticism. I can't take deceit or misrepresentation, whether knowingly intended or not. PrisNo6, if you thought you would be allowed to perpetrate such a grossly wrong action and have it appear clearly thought out, surrounded by professional reference, technically presented and without question accurately critical, you are wrong. I am without respect for your actions. In the corporate world, people lose their jobs for what you did. edz |
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