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Is this operation of calculation logical and the solution for Pi with all its infinite decimal places?
160059373587644656276073382892712698739610649798386777817391111821609373961684436274769350696482615089472452746640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/50948480989332001305333725189421302672300552808399503179923808912026007080407850720000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000=3.1415926535897932384626433832747275723769231874898458662385342679…
Then,
3.1415926535897932384626433832747275723769231874898458662385342679...-pi=
-0.0000000000000000000000000000047753118202462118852599547364103244...
In comparison,
247528474327011354166596418622657722638793772668809247621999359474598682681578369485230649303517384910527547253360000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/50948480989332001305333725189421302672300552808399503179923808912026007080407850720000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000= 4.8584073464102067615373566167252724276230768125101541337614657321...
4.8584073464102067615373566167252724276230768125101541337614657321...-(8-pi)= 0.0000000000000000000000000000047753118202462118852599547364103244...
Hence, the solutions are the same, only one positive and the other negative.
Therefore,
8+
160059373587644656276073382892712698739610649798386777817391111821609373961684436274769350696482615089472452746640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/50948480989332001305333725189421302672300552808399503179923808912026007080407850720000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-
247528474327011354166596418622657722638793772668809247621999359474598682681578369485230649303517384910527547253360000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/50948480989332001305333725189421302672300552808399503179923808912026007080407850720000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000=
2Pi ad infinitum
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Measure by measure
11 posts
• Page 1 of 1
Re: Measure by measure
by HallsofIvy » Wed Feb 17, 2021 6:23 pm
It isn't completely clear to me what you are doing but it looks like everything you are doing involves only rational numbers so that the result is a rational number- and pi is NOT a rational number.
- HallsofIvy
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Re: Measure by measure
by O.G. Prime » Mon Feb 22, 2021 10:03 am
(-16005937358764465627607338289271269873961064979838677781739111182160937396168443627476935069648261508947245274664/5094848098933200130533372518942130267230055280839950317992380891202600708040785072000000000000000000000000000000 + 24752847432701135416659641862265772263879377266880924762199935947459868268157836948523064930351738491052754725336/5094848098933200130533372518942130267230055280839950317992380891202600708040785072000000000000000000000000000000) -8 = -2pi
- O.G. Prime
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Re: Measure by measure
by Guest » Wed Feb 24, 2021 7:33 am
Again, you are working with rational numbers with the basic arithmetic operations so can only produce rational numbers. pi is not a rational number so this cannot be equal to pi,
- Guest
Re: Measure by measure
by Guest » Wed Feb 24, 2021 1:05 pm
In my method, I cut the Pi into 4 parts, which are:
398/498=0.7991967871485944...
385/417=0.9232613908872902...
the other remaining parts are transcendental and I search the third one with a combination which will result in:
(See Journal manuscript in calculation section and beginning of Step 1)
400/453.3010554822036055270006687261...=0.88241577018720138218484019...
and the rest and fourth part to make it amounting to Pi is therefore
400/745.2693487302704238165072845094...=0.53671870536670750554148297...
From the sum the 398/498 and 385/417, I subtract 1 and get 150030/207666.
When I add the decimal values and add 4-Pi, I will get exactly 3.
(4-Pi=0.8584073464102067615373566167204971158028306006248941790250554077…)
150030/207666+0.88241577018720138218484019...+0.53671870536670750554148297...+0.8584073464102067615373566167204971158028306006248941790250554077...= exactly 3
The other way round when you subtract the decimal numbers from 1 you will get exactly 1
0.2775418219641154546242524053046719251105139984398023749674958828+0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923= equals exactly 1
Given proof:
149/498+353/834
+0.88241577018720138218484019...+0.53671870536670750554148297...+0.8584073464102067615373566167204971158028306006248941790250554077...= exactly 3
Then halving the nominator of 353/834 to 353/417 down will lead us to
149/498+353/417 +400/453.3010554822037055141732190008081191018929124820646285561040983059+
400/745.2693487302704238165072845094490035152526263926625638499335697166+0.8584073464102067615373566167204971158028306006248941790250554077=
3.4232613908872901678657074340527577937649880095923261390887290168
We see the above number is transcendental but we further continue our operation,
3.4232613908872901678657074340527577937649880095923261390887290168.../10+1=
1.34232613908872901678657074340527577937649880095923261390887290168... or just simply 2239/1668
The fraction 2239/1668, a ratio with whole number integers!
Next, we do similar calculations with the 1-(x decimals):
0.2775418219641154546242524053046719251105139984398023749674958828+0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923= equals exactly 1
Hence we change the (1-149/498+353/834) into 199/249+320/417,
199/249+320/417+
0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923=
1.1558752997601918465227817745803357314148681055155875299760191848... a transcendental number!
therefore we transform a little bit so that,
1.1558752997601918465227817745803357314148681055155875299760191848.../10+1=
1.11558752997601918465227817745803357314148681055155875299760191848... which is a normal irrational number out of this fraction 2326/2085!
Q.E.D.
398/498=0.7991967871485944...
385/417=0.9232613908872902...
the other remaining parts are transcendental and I search the third one with a combination which will result in:
(See Journal manuscript in calculation section and beginning of Step 1)
400/453.3010554822036055270006687261...=0.88241577018720138218484019...
and the rest and fourth part to make it amounting to Pi is therefore
400/745.2693487302704238165072845094...=0.53671870536670750554148297...
From the sum the 398/498 and 385/417, I subtract 1 and get 150030/207666.
When I add the decimal values and add 4-Pi, I will get exactly 3.
(4-Pi=0.8584073464102067615373566167204971158028306006248941790250554077…)
150030/207666+0.88241577018720138218484019...+0.53671870536670750554148297...+0.8584073464102067615373566167204971158028306006248941790250554077...= exactly 3
The other way round when you subtract the decimal numbers from 1 you will get exactly 1
0.2775418219641154546242524053046719251105139984398023749674958828+0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923= equals exactly 1
Given proof:
149/498+353/834
+0.88241577018720138218484019...+0.53671870536670750554148297...+0.8584073464102067615373566167204971158028306006248941790250554077...= exactly 3
Then halving the nominator of 353/834 to 353/417 down will lead us to
149/498+353/417 +400/453.3010554822037055141732190008081191018929124820646285561040983059+
400/745.2693487302704238165072845094490035152526263926625638499335697166+0.8584073464102067615373566167204971158028306006248941790250554077=
3.4232613908872901678657074340527577937649880095923261390887290168
We see the above number is transcendental but we further continue our operation,
3.4232613908872901678657074340527577937649880095923261390887290168.../10+1=
1.34232613908872901678657074340527577937649880095923261390887290168... or just simply 2239/1668
The fraction 2239/1668, a ratio with whole number integers!
Next, we do similar calculations with the 1-(x decimals):
0.2775418219641154546242524053046719251105139984398023749674958828+0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923= equals exactly 1
Hence we change the (1-149/498+353/834) into 199/249+320/417,
199/249+320/417+
0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923=
1.1558752997601918465227817745803357314148681055155875299760191848... a transcendental number!
therefore we transform a little bit so that,
1.1558752997601918465227817745803357314148681055155875299760191848.../10+1=
1.11558752997601918465227817745803357314148681055155875299760191848... which is a normal irrational number out of this fraction 2326/2085!
Q.E.D.
- Guest
Re: Measure by measure
by Guest » Sun Feb 28, 2021 11:05 am
Guest wrote:In my method, I cut the Pi into 4 parts, which are:
398/498=0.7991967871485944...
385/417=0.9232613908872902...
the other remaining parts are transcendental and I search the third one with a combination which will result in:
(See Journal manuscript in calculation section and beginning of Step 1)
400/453.3010554822036055270006687261...=0.88241577018720138218484019...
and the rest and fourth part to make it amounting to Pi is therefore
400/745.2693487302704238165072845094...=0.53671870536670750554148297...
From the sum the 398/498 and 385/417, I subtract 1 and get 150030/207666.
When I add the decimal values and add 4-Pi, I will get exactly 3.
(4-Pi=0.8584073464102067615373566167204971158028306006248941790250554077…)
150030/207666+0.88241577018720138218484019...+0.53671870536670750554148297...+0.8584073464102067615373566167204971158028306006248941790250554077...= exactly 3
The other way round when you subtract the decimal numbers from 1 you will get exactly 1
0.2775418219641154546242524053046719251105139984398023749674958828+0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923= equals exactly 1
Given proof:
149/498+353/834
+0.88241577018720138218484019...+0.53671870536670750554148297...+0.8584073464102067615373566167204971158028306006248941790250554077...= exactly 3
Then halving the nominator of 353/834 to 353/417 down will lead us to
149/498+353/417 +400/453.3010554822037055141732190008081191018929124820646285561040983059+
400/745.2693487302704238165072845094490035152526263926625638499335697166+0.8584073464102067615373566167204971158028306006248941790250554077=
3.4232613908872901678657074340527577937649880095923261390887290168
We see the above number is transcendental but we further continue our operation,
3.4232613908872901678657074340527577937649880095923261390887290168.../10+1=
1.34232613908872901678657074340527577937649880095923261390887290168... or just simply 2239/1668
The fraction 2239/1668, a ratio with whole number integers!
Next, we do similar calculations with the 1-(x decimals):
0.2775418219641154546242524053046719251105139984398023749674958828+0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923= equals exactly 1
Hence we change the (1-149/498+353/834) into 199/249+320/417,
199/249+320/417+
0.1175842298127988124545871909983277592319107707861011278392177311+0.4632812946332924944585170204174974314604058313989906762183417938+0.1415926535897932384626433832795028841971693993751058209749445923=
1.1558752997601918465227817745803357314148681055155875299760191848... a transcendental number!
therefore we transform a little bit so that,
1.1558752997601918465227817745803357314148681055155875299760191848.../10+1=
1.11558752997601918465227817745803357314148681055155875299760191848... which is a normal irrational number out of this fraction 2326/2085!
Q.E.D.
- Guest
Re: Measure by measure
by Guest » Sun Feb 28, 2021 11:32 am
Oops, this part had been pasted wrong, sorry.
Here's the corrected version.
...
Next, we do similar calculations with the 1-(x decimals):
1-398/498+1-385/417=0.2775418219641154546242524053046719251105139984398023749674958828...
0.2775418219641154546242524053046719251105139984398023749674958828...+0.1175842298127988124545871909983277592319107707861011278392177311...+0.4632812946332924944585170204174974314604058313989906762183417938...+0.1415926535897932384626433832795028841971693993751058209749445923... = equals exactly 1
Hence we change the (1-398/498+1-385/417) into 50/249+97/417,
50/249+97/417+
0.1175842298127988124545871909983277592319107707861011278392177311...+0.46328129463329249445851702041749743146040583139899067'''62183417938...+0.1415926535897932384626433832795028841971693993751058209749445923...=482/417
1.1558752997601918465227817745803357314148681055155875299760191848... a transcendental number!
therefore we transform a little bit so that,
1.1558752997601918465227817745803357314148681055155875299760191848.../10+1=
1.11558752997601918465227817745803357314148681055155875299760191848... which is a normal irrational number out of this fraction 2326/2085!
Great, or not?
Here's the corrected version.
...
Next, we do similar calculations with the 1-(x decimals):
1-398/498+1-385/417=0.2775418219641154546242524053046719251105139984398023749674958828...
0.2775418219641154546242524053046719251105139984398023749674958828...+0.1175842298127988124545871909983277592319107707861011278392177311...+0.4632812946332924944585170204174974314604058313989906762183417938...+0.1415926535897932384626433832795028841971693993751058209749445923... = equals exactly 1
Hence we change the (1-398/498+1-385/417) into 50/249+97/417,
50/249+97/417+
0.1175842298127988124545871909983277592319107707861011278392177311...+0.46328129463329249445851702041749743146040583139899067'''62183417938...+0.1415926535897932384626433832795028841971693993751058209749445923...=482/417
1.1558752997601918465227817745803357314148681055155875299760191848... a transcendental number!
therefore we transform a little bit so that,
1.1558752997601918465227817745803357314148681055155875299760191848.../10+1=
1.11558752997601918465227817745803357314148681055155875299760191848... which is a normal irrational number out of this fraction 2326/2085!
Great, or not?
- Guest
Re: Measure by measure
by Guest » Fri Apr 23, 2021 12:01 pm
"1-398/498+1-385/417=0.2775418219641154546242524053046719251105139984398023749674958828..."
Which is a combination if fractions so is rational number.
"0.2775418219641154546242524053046719251105139984398023749674958828...+0.1175842298127988124545871909983277592319107707861011278392177311...+0.4632812946332924944585170204174974314604058313989906762183417938...+0.1415926535897932384626433832795028841971693993751058209749445923... = equals exactly 1"
So also is a rational number.
"Hence we change the (1-398/498+1-385/417) into 50/249+97/417"
Still a rational number.
"50/249+97/417+
0.1175842298127988124545871909983277592319107707861011278392177311...+0.46328129463329249445851702041749743146040583139899067'''62183417938...+0.1415926535897932384626433832795028841971693993751058209749445923...=482/417
1.1558752997601918465227817745803357314148681055155875299760191848... a transcendental number!"
A sum of rational numbers so a rational number. Not even irrational, much less transcendental.
Which is a combination if fractions so is rational number.
"0.2775418219641154546242524053046719251105139984398023749674958828...+0.1175842298127988124545871909983277592319107707861011278392177311...+0.4632812946332924944585170204174974314604058313989906762183417938...+0.1415926535897932384626433832795028841971693993751058209749445923... = equals exactly 1"
So also is a rational number.
"Hence we change the (1-398/498+1-385/417) into 50/249+97/417"
Still a rational number.
"50/249+97/417+
0.1175842298127988124545871909983277592319107707861011278392177311...+0.46328129463329249445851702041749743146040583139899067'''62183417938...+0.1415926535897932384626433832795028841971693993751058209749445923...=482/417
1.1558752997601918465227817745803357314148681055155875299760191848... a transcendental number!"
A sum of rational numbers so a rational number. Not even irrational, much less transcendental.
- Guest
Re: Measure by measure
by Guest » Mon Nov 08, 2021 7:11 pm
O.G. Prime, are you clear on the distinction between rational numbers and irrational numbers and what transcendental numbers are?
- Guest
Re: Measure by measure
by Angus53 » Sat Feb 10, 2024 11:03 am
Indeed, the calculations appear logical, demonstrating the infinite decimal representation of pi. The solution for Pi with all its infinite decimal places matches the expected result. Additionally, observing the difference between this solution and the expression for 8 minus Pi confirms the mathematical consistency, as one is positive while the other is negative, yet they equal the same absolute value. Hence, the solutions align, manifesting the eternal nature of 2Pi.
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