Steele, Sirs: >I'm sorry, but this is nonsense. >.....so any rational approximation to pi is only an approximation. I have NO hesitation and agree with your views. BUT NEVER HAS THERE BEEN ANY VALUE that fits "generally ALL CALCULATIONS". You may like the *Snopes and/or religious views: http://www.snopes.com/religion/pi.asp I may recall old excahnge of communcations where Pi had been discussed at length both at USMA & Calndr-L. Do we need to treat Pi as an approximation? My only submission had been: *Here is a value that DEFINES both ' approximation and literal that Pi is the ration between circumference of a circle to its diameter: thus a/b*. The only value that fits this bill is: 100000/31831 giving Radian =57* 17' 44".88. This value when run/investigated results in its REPETITIVE quality at 5244th decimal. Chinese value 355/113 of 3.1415929203539823008849557522124... also does not define: What Pi is? I do not dispute this or other approximations. Regards, Brij Bhushan Vij Sunday, 20110403H14:64(decimal)EST Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda The Astronomical Poem (revised number of days in any month) "30 days has July,September, April, June, November and December all the rest have 31 except February which has 29 except on years divisible evenly by 4; except when YEAR divisible by 128 and 3200 - as long as you remember that "October (meaning 8) is the 10th month; and December (meaning 10) is the 12th BUT has 30 days & ONE OUTSIDE of calendar-format" Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30 Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30 (365th day of Year is World Day) ******As per Kali V-GRhymeCalendaar***** "Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai" My Profile - http://www.brijvij.com/bbv_2col-vipBrief.pdf Author had NO interaction with The World Calendar Association except via Media & Organisations to who I contributed for A Possible World Calendar, since 1971. HOME PAGE: http://www.brijvij.com/ Contact via E-mail: [email protected]
Date: Sun, 3 Apr 2011 11:04:47 -0700 From: [email protected] Subject: [USMA:50266] Re: Astronomical measurements To: [email protected] I'm sorry, but this is nonsense. Your "value of pi" as published in that pdf differs from accepted values such as the CRC Standard Mathematical Tables or the Handbook of Mathematical Functions (or my calculator) beginning at the sixth decimal. It differs from the generally accepted value of pi by approimately -0.35778 ppm, so it is not even a very good approximation. The much simpler expression 355/113 is MUCH better at +0.08467 ppm, roughly 4X better for only six total digits vs 11. There are proofs that pi is irrational (which I am not enough of a mathematician to reproduce) so any rational approximation to pi is only an approximation. From: Brij Bhushan Vij <[email protected]> To: U.S. Metric Association <[email protected]> Sent: Sun, April 3, 2011 1:32:57 PM Subject: [USMA:50265] Re: Astronomical measurements Pierre, Paul Rittman sirs: >A number you may find useful is 206264.8. Is this value for Pi used anywhere in day-to-day life. Any reference avaialable. Most enineering/standard reference books maintain and use the Radian value of 57* 17' 44".88 (57*.2958), which deviate by 0.08 from this value. I arrived at this value on examining 'MOST known values for Pi' and arrive at a Rationalised approach of Pi =100000/31831 which also define the Radian as (57*2958) =57* 17' 44"88. This squarely fit most astronomical calculations. Please see: http://www.brijvij.com/bb_rationalisedPi-value.pdf Regards, Brij Bhushan Vij Sunday, 20110403H13:54(decimal)EST Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda The Astronomical Poem (revised number of days in any month) "30 days has July,September, April, June, November and December all the rest have 31 except February which has 29 except on years divisible evenly by 4; except when YEAR divisible by 128 and 3200 - as long as you remember that "October (meaning 8) is the 10th month; and December (meaning 10) is the 12th BUT has 30 days & ONE OUTSIDE of calendar-format" Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30 Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30 (365th day of Year is World Day) ******As per Kali V-GRhymeCalendaar***** "Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai" My Profile - http://www.brijvij.com/bbv_2col-vipBrief.pdf Author had NO interaction with The World Calendar Association except via Media & Organisations to who I contributed for A Possible World Calendar, since 1971. HOME PAGE: http://www.brijvij.com/ Contact via E-mail: [email protected] > From: [email protected] > To: [email protected] > Subject: [USMA:50260] Re: Astronomical measurements > Date: Sun, 3 Apr 2011 00:33:51 -0400 > > On Saturday 02 April 2011 20:36:43 Paul Rittman wrote: > > So would you folks advise (1) being purist, and quoting > > inter-stellar distances as “ultra-giga-multi-meters” or whatever; (2) in > > parsecs, which is almost entirely unknown to civilians; or (3) stick with > > the term “light-year”? And just as importantly, why? > > Prefixes are used with the meter, of course, and also with the parsec. I'm > not > sure if they're used with the light-year. > > Of those units, direct measurements are possible only in parsecs (by waiting > six months and seeing how many arcseconds the star appears to move). I've > heard of astronomers measuring in milliarcseconds, so kiloparsecs should be > doable this way, but not megaparsecs. Red-shift measurements have to be > converted, whatever units they are converted to. > > I think the general public would need an explanation of whatever units are > used. I suggest giving a few distances in all three units, in case the > audience is not all familiar with the same unit, and then using petameters, > exameters, etc. for the rest. The public may not be familiar with those big > prefixes either. > > A number you may find useful is 206264.8. It's the number of arcseconds > (approximately) in a radian; multiply an astronomical unit by that and you > get a parsec. I use the number occasionally in surveying. The mantissa of its > reciprocal is 4848137; I use the three 48s to check whether I remember the > number correctly. > > Pierre > -- > When a barnacle settles down, its brain disintegrates. > Já não percebe nada, já não percebe nada. >
