My number is larger [GAME]

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PHPBB12345
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Re: My number is larger [GAME]

Post by PHPBB12345 »

hotdogPi wrote: February 15th, 2023, 12:04 pm 21/(4√5) ≈ 2.34787138 (+0.000126675836)
ln(11)-1/20 ≈ 2.34789527280 (+0.00002389642)
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C_R_116
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Re: My number is larger [GAME]

Post by C_R_116 »

e^0.5(1 + √2/2) = 2.3479753 (+0.00008004)
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Re: My number is larger [GAME]

Post by PHPBB12345 »

C_R_116 wrote: February 15th, 2023, 9:55 pm e^0.5(1 + √2/2) = 2.3479753 (+0.00008004)
Is your formula means e^(0.5*(1+sqrt(2)/2)) or (e^0.5)*(1+sqrt(2)/2)?
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pzq_alex
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Re: My number is larger [GAME]

Post by pzq_alex »

PHPBB12345 wrote: February 16th, 2023, 12:44 am
C_R_116 wrote: February 15th, 2023, 9:55 pm e^0.5(1 + √2/2) = 2.3479753 (+0.00008004)
Is your formula means e^(0.5*(1+sqrt(2)/2)) or (e^0.5)*(1+sqrt(2)/2)?
Numerical verification says former.
\sum_{n=1}^\infty H_n/n^2 = \zeta(3)

How much of current CA technology can I redevelop "on a desert island"?
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14142135623
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Re: My number is larger [GAME]

Post by 14142135623 »

587/250 = 2.348 (+0.0000247)
Most recent rare find: paperclip

Code: Select all

x = 16, y = 16
2bobo2b2ob3ob2o$o4bo2b2o3b3o$o2bob5ob2ob2o$o5b6o2bo$ob3obo5b3o$b2o3b2o2bo4bo$3ob7o3bo$4o2b5o$2o2bo4b2o2b2o$o2b2o3bo2b2obo$2b4ob2ob3obo$o3bobo2bob3o$ob4ob2ob2o2b2o$b2o3b5ob2obo$3o2b2o$2obo2b3o6bo
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PHPBB12345
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Re: My number is larger [GAME]

Post by PHPBB12345 »

14142135623 wrote: February 16th, 2023, 8:40 am 587/250 = 2.348 (+0.0000247)
6^(1/6)+1 = 2.34800615460 (+0.00000615460)
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rutabaga
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Re: My number is larger [GAME]

Post by rutabaga »

PHPBB12345 wrote: April 12th, 2501, 8:35 am
14142135623 wrote: April 12th, 2501, 3:00 am 587/250 = 2.348 (+0.0000247)
6^(1/6)+1 = 2.34800615460 (+0.00000615460)
¹³√(π⁹+36122) ≈ 2.34800628554 (+0.0000001309465)
6 leading 0's... >:D

Code: Select all

x = 3, y = 3, rule = 2-a35-j8/2-ak34n5i78/3
.A$A.A$.A!
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hotdogPi
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Re: My number is larger [GAME]

Post by hotdogPi »

-sin(5 radians) * √6 ≈ 2.34887517 (+0.000868889349)
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
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PHPBB12345
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Re: My number is larger [GAME]

Post by PHPBB12345 »

hotdogPi wrote: February 16th, 2023, 12:14 pm -sin(5 radians) * √6 ≈ 2.34887517 (+0.000868889349)
sqrt(5)+1/(9-e^(-2)) ≈ 2.34887540248 (+0.0000002275856)
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rutabaga
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Re: My number is larger [GAME]

Post by rutabaga »

PHPBB12345 wrote: February 16th, 2023, 12:34 pm
hotdogPi wrote: February 16th, 2023, 12:14 pm -sin(5 radians) * √6 ≈ 2.34887517 (+0.000868889349)
sqrt(5)+1/(9-e^(-2)) ≈ 2.34887540248 (+0.0000002275856)
log(36.6) + (pi/4) ≈ 2.34887924879 (+0.000003846312)

Code: Select all

x = 3, y = 3, rule = 2-a35-j8/2-ak34n5i78/3
.A$A.A$.A!
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Re: My number is larger [GAME]

Post by DroneBetter »

rutabaga wrote: February 16th, 2023, 1:16 pm2.34887924879 (+0.000003846312)

Code: Select all

deRLE=(lambda rle: __import__('functools').reduce(lambda a,c: (lambda r,p,a: ((lambda s: (r|((c=='o')*((1<<s)-1))<<p,p+s,''))(int(a)) if a else (r|(c=='o')<<p,p+1,'')) if c in 'bo' else (r,p,a+c))(*a),rle,(0,0,''))[0])
∑_{n=1}^{∞} (∑_{k=1}^{∞} ((deRLE('oo10boobbobbo')/2**20)**(n*k))) = (lambda n,d: (ln(n/(n-d))-Ψ_{n/d}^{0} (1))/ln(n/d))(602115,1048576) ≈ 2.34888188574 (+0.0000026369563) (where Ψ is the q-polygamma function :-)
Edit:
PHPBB12345 wrote: February 16th, 2023, 12:34 pmsqrt(5)+1/(9-e^(-2)) ≈ 2.34887540248 (+0.0000002275856)
If you wanted to golf here, you could use negation's precedence over exponentiation (when in its right operand) to reduce a bracket pair
Last edited by DroneBetter on February 16th, 2023, 6:12 pm, edited 3 times in total.
miaow
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Re: My number is larger [GAME]

Post by PHPBB12345 »

DroneBetter wrote: February 16th, 2023, 2:04 pm

Code: Select all

deRLE=(lambda rle: __import__('functools').reduce(lambda a,c: (lambda r,p,a: ((lambda s: (r|((c=='o')*((1<<s)-1))<<p,p+s,''))(int(a)) if a else (r|(c=='o')<<p,p+1,'')) if c in 'bo' else (r,p,a+c))(*a),rle,(0,0,''))[0])
∑_{n=1}^{∞} (∑_{k=1}^{∞} ((deRLE('oo10boobbobbo')/2**20)**(n*k))) = (lambda n,d: (ln(n/(n-d))-Ψ_{n/d}^{0} (1))/ln(n/d))(602115,1048576) ≈ 2.34889358949 (+0.0000026369563) (where Ψ is the q-polygamma function :-)
Your formula result is 2.3488818857482087651576835116681812652...
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squareroot12621
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Re: My number is larger [GAME]

Post by squareroot12621 »

sqrt(sqrt(e) + sqrt(15)) ≈ 2.34983 (+0.00095).
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Re: My number is larger [GAME]

Post by PHPBB12345 »

squareroot12621 wrote: February 16th, 2023, 7:56 pm sqrt(sqrt(e) + sqrt(15)) ≈ 2.34983 (+0.00095).
47/20 = 2.35 (+0.00017)
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rutabaga
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Re: My number is larger [GAME]

Post by rutabaga »

PHPBB12345 wrote: February 17th, 2023, 12:22 am
squareroot12621 wrote: February 16th, 2023, 7:56 pm sqrt(sqrt(e) + sqrt(15)) ≈ 2.34983 (+0.00095).
47/20 = 2.35 (+0.00017)
cube root 13 = 2.35133468772... (+0.00133468772...)

Code: Select all

x = 3, y = 3, rule = 2-a35-j8/2-ak34n5i78/3
.A$A.A$.A!
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AwesomeButt
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Re: My number is larger [GAME]

Post by AwesomeButt »

2.35140625
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rutabaga
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Re: My number is larger [GAME]

Post by rutabaga »

AwesomeButt wrote: February 17th, 2023, 10:26 am 2.35140625
where did you get the number from

Code: Select all

x = 3, y = 3, rule = 2-a35-j8/2-ak34n5i78/3
.A$A.A$.A!
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squareroot12621
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Re: My number is larger [GAME]

Post by squareroot12621 »

rutabaga wrote: February 17th, 2023, 10:26 am
AwesomeButt wrote: February 17th, 2023, 10:26 am 2.35140625
where did you get the number from
I assume 15,049/6,400.

1 + sqrt(11/6) ≈ 2.35401 (+0.00260).
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hotdogPi
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Re: My number is larger [GAME]

Post by hotdogPi »

113/48 = 2.35416̅ (+0.000160265894)
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
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squareroot12621
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Re: My number is larger [GAME]

Post by squareroot12621 »

2 + 1/(e + 0.1) ≈ 2.35483 (+0.00066).
Last edited by squareroot12621 on February 17th, 2023, 12:44 pm, edited 1 time in total.
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May13
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Re: My number is larger [GAME]

Post by May13 »

√(190)+π/2−13 = 2.35484508 (+0.00001896)
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new-gliders.db (30683 gliders, square grid)
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Re: My number is larger [GAME]

Post by PHPBB12345 »

May13 wrote: February 17th, 2023, 11:35 am √(190)+π/2−13 = 2.35484508 (+0.00001896)
3*e-29/5 ≈ 2.35484548538 (+0.000000406492)
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squareroot12621
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Re: My number is larger [GAME]

Post by squareroot12621 »

∛(√3 + √13×π) ≈ 2.35489994 (+0.00005446).
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Re: My number is larger [GAME]

Post by PHPBB12345 »

squareroot12621 wrote: February 17th, 2023, 9:07 pm ∛(√3 + √13×π) ≈ 2.35489994 (+0.00005446).
e^(∛(π/5)) ≈ 2.35490063105 (+0.000000687036)
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Re: My number is larger [GAME]

Post by AwesomeButt »

PHPBB12345 wrote: February 18th, 2023, 12:30 am
squareroot12621 wrote: February 17th, 2023, 9:07 pm ∛(√3 + √13×π) ≈ 2.35489994 (+0.00005446).
e^(∛(π/5)) ≈ 2.35490063105 (+0.000000687036)
2.355 (+0.0001)
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