Before I go on to the next post, I want to piblish one of my works. It is a notation that I've been working on. It is also on the wiki I have posted a link in the previous post.
So Here it is :
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) = $Ψn
7-2-1. nΨm ≠ n x Ψm
*EXAMPLES*
Googol = Ψ1010 = 10^10x10 = 10^100
Tritri = Ψ3_3_3)
Decker = Ψ10_10
Gaggol = Ψ10#100
Googolplex ΨGoogol÷1010 = 10^10 x Googol÷10 = 10^Googol
Enjoy and PLZ subscribe!!!!!
So Here it is :
Prime Rules
1. Every Array/Integer - Every Array/Integer in the notation, the Psi (Ψ) is Needed. ( i.e. No Psi, then the whole array is wrong)
### Please note that in this post ONLY, array are right even without Psi. ###
2. Only One Entry - Ψn = n^n
2-1. Psi-Related - Ψnm = m^mn
3. Arrays - n_m_...% (% is the rest of the array)
3-1. Array Rule - Always calcluate from the back
3-2. Array Rule - Any Array calculates from the back.
3-3. Prime Array Rule - n_m = n^n^n^...^n (m times) (tetration)
3-4. 2<n Array Rule - n_m_o = n^n^...^n (m_o times)
4. Cerncerning 1, 0, and Infinity
4-1. If Ψn_m_1, The 1 may be cropped off (Ψn_m_1 = Ψn_m)
4-2. Ψ1_n_...% = 1
4-3. Infinity - The presence of Infinity ANYWHERE will cause the whole array to turn into Infinity (i.e.Ψn_m_..._(Infinity)_..% = (Infinity))
4-4. Zero - Zeroes, like Infinity, in ANY array, will cause the array to become 1 (See i.e. on 4-3)
5. Special delimeters
5-1. Ψn#m = n_n_..._n (m times)
5-2. Ψn? = n_n-1_n-2_..._2_1
5-3. Array Marks (A,Y) (Based on BEAF's legions)
5-3-1. Simple Array Mark Rules - Ψ(main)A(array leader)n(Array Base)m(Array Children)
5-3-2. Extended Array Marks - ΨAAnm = ΨA(ΨAnm)m
5-3-3. Y Array - ΨYnm= ΨAA...AAnm
5-4. Bracker lines
5-5. Calculate the brackets first - Ψn_m/_m_n = Ψ(n_m)_(m_n)
5-6. "<>" Operators
5-6-1. Ψn<m = n#n#n...n#n (m times)
5-6-2. Ψn>m = m#m#m#...#m (n times)
5-6-3. Ψn>>m = n>n>n>...>n (m times)
5-6-4. ΨnA<mo= Ψn<<<......<<<o (m times)
5-7. n@ = n_n_..._n (n times)
6. Small Numbers
6-1. nm= Ψn_Ψn_Ψn_..._Ψn (m times)
7. Psi's
7-1. ΨΨn = Ψn_Ψn
7-2. ΨΨ...($ 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
Enjoy and PLZ subscribe!!!!!