User blog:Nayuta Ito/PEGG detailed log

I can only update this chart on Wednesdays, Fridays, Satuadays, and Sundays unpredictably randomly. If you want to see the value for today a few days ago, please check PsiCubed2's Current Value Of PEGG. The page is gone now. Somehow the page is back. The page stopped updating at Sep.18, 2017. It's back from February 4, 2018.

The era of E
This era lasted for 32 days.

This is the first "era" of PEGG. In this era, X is added by 0.01*(The hundredth place of the previous day's DJIA closing price) and PEGG is 10^X.

Therefore, PEGG grows approximately exponentially.

And something interesting happens. Since X got over 10, the definition's rule (e) is applied.


 * (e-1) Increment the letter in Y by one.
 * Y was "E", so Y becomes "F". In this log, it means proceeding to the next era.
 * (e-2) Convert the new value of PEGG to the form m
 * So we have to convert E10.20 into F. I will use "Lc" for the appreviation of common logarithm.
 * E10.20=EELc10.20(~EE1.0086)=EEELcLc10.20(~EEE0.00372)=F(2+LcLc10.20)
 * (e-3) int(mK)/K→X
 * "m" is what comes after F, which is 2+LcLc10.20 in this case. m starts with 2.003719, so int(mK)=2003. and divide that by K, so X becomes 2.003. (Recall that K=1000)
 * (e-4) 0.7xZ→Z
 * Z was 0.01, so Z becomes 0.007.
 * (e-5) 10K→K
 * Now K becomes 10000.

The era of F
This era lasted for 30 days.

It gets slower because Z gets smaller. Each era will take about 1.4 times longer than the previous one.

Starting Values:


 * X=2.003
 * Y="F"
 * Z=0.007
 * K=10000

And now, by the definition of Fx, PEGG will grow tetrationally.

And something interesting happens. Since X got over 10, the definition's rule (e) is applied.


 * (e-1) Increment the letter in Y by one.
 * Y was "F", so Y becomes "G". In this log, it means proceeding to the next era.
 * (e-2) Convert the new value of PEGG to the form m
 * So we have to convert F10.081 into G. I will use "Lc" for the appreviation of common logarithm.
 * F10.081=FELc10.081=FE(10^LcLc10.081)=FF(1+LcLc10.081)=FF(10^Lc(1+LcLc10.081))=G(2+(Lc(1+LcLc10.081)))
 * (e-3) int(mK)/K→X
 * "m" is what comes after G, which is 2+Lc(1+LcLc10.081) in this case. m starts with 2.000659, so int(mK)=20006. and divide that by K, so X becomes 2.0006. (Recall that K=10000)
 * (e-4) 0.7xZ→Z
 * Z was 0.007, so Z becomes 0.0049.
 * (e-5) 10K→K
 * Now K becomes 100000.

The era of G
This era lasted for 48 days.

Now it will be twice slower than the era of E.

Starting Values:


 * X=2.0006
 * Y="G"
 * Z=0.0049
 * K=100000

And now, by the definition of Gx, PEGG will grow pentationally.

Gx is supposed to be continuous 10^^^x, so let's check the definition for non-integeers:

10^^^x=10^^(10^^^(x-1)) for x>1 and 10^^^x=10^x for x<=1.

And something interesting happens. Since X got over 10, the definition's rule (e) is applied.


 * (e-1) Increment the letter in Y by one.
 * Y was "G", so Y becomes "H". In this log, it means proceeding to the next era.
 * (e-2) Convert the new value of PEGG to the form m
 * So we have to convert G10.1395 into H. I will use "Lc" for the appreviation of common logarithm.
 * G10.1395=GELc10.1395=GE(10^LcLc10.1395)=GF(1+LcLc10.1395)=GF(10^Lc(1+LcLc10.1395))=GG(1+Lc(1+LcLc10.1395))=H(2+Lc(1+Lc(1+LcLc10.1395)))
 * (e-3) int(mK)/K→X
 * "m" is what comes after G, which is 2+Lc(1+Lc(1+LcLc10.1395)) in this case. m starts with 2.00049044, so int(mK)=200049. and divide that by K, so X becomes 2.00049. (Recall that K=100000)
 * (e-4) 0.7xZ→Z
 * Z was 0.0049, so Z becomes 0.00343.
 * (e-5) 10K→K
 * Now K becomes 1000000.

The era of H
This era lasted for 48 days.

Now it will be 35% as fast as the era of E.

Starting Values:


 * X=2.00049
 * Y="H"
 * Z=0.00343
 * K=1000000

And now, by the definition of Hx, PEGG will grow hexationally.

Hx is supposed to be continuous 10^^^^x, so let's check the definition for non-integeers:

10^^^^x=10^^^(10^^^^(x-1)) for x>1 and 10^^^^x=10^x for x<=1.

And something really interesting happens. Since X got over 10, the definition's rule (e) is applied.


 * (e-1) Increment the letter in Y by one.
 * Y was "H", so Y becomes "J".(Note that I doesn't exist) In this log, it means proceeding to the next era.
 * (e-2) Convert the new value of PEGG to the form m
 * So we have to convert H10.12273 into J. I will use "lc" for the abbreviation of common logarithm and "Lp" for log5(x/2).
 * For every x in 10<x<10^10, this formula applies:
 * Hx=HG(1+lc(1+lclcx))=HH(1+lc(1+lc(1+lclcx)))=5|2+lc(1+lc(1+lc(1+lclcx)))=J(4+Lp(2+lc(1+lc(1+lc(1+lclcx)))))
 * Therefore, H10.12273=J(4+Lp(2+lc(1+lc(1+lc(1+lclc10.12273)))))=J4.00005828...
 * (e-3) int(mK)/K→X
 * "m" is what comes after J, which starts with 4.00005828, so int(mK)=4000058. and divide that by K, so X becomes 4.000058. (Recall that K=1000000)
 * (e-4) 0.7xZ→Z
 * Z was 0.00343, so Z becomes 0.002401.
 * (e-5) 10K→K
 * Now K becomes 10000000.

The era of J
This era lasted for 64 days.

Now it will be 25% as fast as the era of E.

Starting Values:


 * X=4.000058
 * Y="J"
 * Z=0.002401
 * K=10000000

Note that J diagonalizes all the E, F, G, and H.

And something interesting happens. Since X got over 10, the definition's rule (e) is applied.


 * (e-1) Increment the letter in Y by one.
 * Y was "J", so Y becomes "K" In this log, it means proceeding to the next era.
 * (e-2) Convert the new value of PEGG to the form m
 * So we have to convert J10.098598 into K. I will use "lc" for the abbreviation of common logarithm.
 * For every x in 10<x<10^10, this formula applies:
 * Jx=JG(1+lc(1+lclcx))=JJ(1+lc(1+lclcx))=K(2+lc(1+lc(1+lclcx)))
 * Therefore, J10.098598=K(2+lc(1+lc(1+lclc10.098598)))=K2.000347836....
 * (e-3) int(mK)/K→X
 * "m" is what comes after K, which starts with 2.000347836, so int(mK)=20003478. and divide that by K, so X becomes 2.0003478. (Recall that K=10000000)
 * (e-4) 0.7xZ→Z
 * Z was 0.002401, so Z becomes 0.0016807.
 * (e-5) 10K→K
 * Now K becomes 100000000.

The era of K
Now it will be 17.5% as fast as the era of E.

Starting Values:


 * X=2.0003478
 * Y="K"
 * Z=0.0016807
 * K=100000000