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  • Since the H-bar caused bugs, I used Psi (Ψ) instead.*

So, My new notaiton is finally here! I came up with the idea a long time ago. Then I learned the presence of THIS WIKI, so then I studied BEAF, SAN, HAN, BAN, FGH, HH, SGH for help. It may be quite weak and MAY have a few bugs, because I am NOT a professional Googologist/Professor/PhD Earner.


Prime Rules

1. Every Array/Integer - Every Array/Integer in the notation, the Psi (Ψ) is Needed. ( i.e. No Psi, then the whole array is wrong)

### Please note that in this post ONLY, array are right even without Psi. ###

2. Only One Entry - Ψn = n^n

  2-1. Psi-Related - Ψnm = m^mn

3. Arrays - n_m_...% (% is the rest of the array)

3-1. Array Rule - Always calcluate from the back

3-2. Array Rule - Any Array calculates from the back.

3-3. Prime Array Rule - n_m = n^n^n^...^n (m times) (tetration)

3-4. 2<n Array Rule - n_m_o = n^n^...^n (m_o times)

4. Cerncerning 1, 0, and Infinity

  4-1. If Ψn_m_1, The 1 may be cropped off (Ψn_m_1 = Ψn_m)

  4-2. Ψ1_n_...% = 1

  4-3. Infinity - The presence of Infinity ANYWHERE will cause the whole array to turn into Infinity (i.e.Ψn_m_..._(Infinity)_..% = (Infinity))

4-4. Zero - Zeroes, like Infinity, in ANY array, will cause the array to become 1 (See i.e. on 4-3)

5. Special delimeters

  5-1. Ψn#m = n_n_..._n (m times)

  5-2. Ψn? = n_n-1_n-2_..._2_1

  5-3. Array Marks (A,Y) (Based on BEAF's legions)

   5-3-1. Simple Array Mark Rules - Ψ(main)A(array leader)n(Array Base)m(Array Children)

   5-3-2. Extended Array Marks - ΨAAnm = ΨA(ΨAnm)m

   5-3-3. Y Array - ΨYnm= ΨAA...AAnm

5-4. Bracker lines

   5-5. Calculate the brackets first - Ψn_m/_m_n = Ψ(n_m)_(m_n)

5-6. "<>" Operators

    5-6-1. Ψn<m = n#n#n...n#n (m times)

    5-6-2. Ψn>m = m#m#m#...#m (n times)

5-6-3. Ψn>>m = n>n>n>...>n (m times)

    5-6-4. ΨnA<mo= Ψn<<<......<<<o (m times)

5-7. n@ = n_n_..._n (n times)

6. Small Numbers

6-1. nm= Ψn_Ψn_Ψn_..._Ψn (m times)

7. Psi's

7-1. ΨΨn = Ψn_Ψn

7-2. ΨΨ...($ times)...Ψn = Ψn_Ψn_Ψn...Ψn ($ times) = $Ψn

7-2-1. nΨm ≠ n x Ψm

*EXAMPLES*

Googol = Ψ1010 = 10^10x10 = 10^100

Tritri = Ψ3_3_3)

Decker = Ψ10_10

Gaggol = Ψ10#100

Googolplex ΨGoogol÷1010 = 10^10 x Googol÷10 = 10^Googol

* Please note that this system is STILL developing. Please write an e-mail if you can to imgaine153@yandex.com instead of commenting *

* This may be similar to your notations, PLEASE do not say that I stole your ideas *

*  No Destructive Criticizm Please *

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