Ambiele Kiviele
JF-Expert Member
- Dec 29, 2014
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Namba hii ina maana gani? 1.6180339887.
Namba hii ina maana gani? 1.6180339887.
- Thread starter Sokoro waito
- Start date
Bbade
JF-Expert Member
- Mar 15, 2013
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Usianguke...kokotoa wewe uliye yaweka hapo...kwa lugha nyepesi tu watauelewa....
Ambiele Kiviele
JF-Expert Member
- Dec 29, 2014
- 15,267
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Mi naomba ntoke nje ya mada jaman iv safari yetu ya sweeden vp.....
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anton gebra
Member
- Jun 5, 2018
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Ambiele Kiviele
JF-Expert Member
- Dec 29, 2014
- 15,267
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Hapa tutaharibu mada za watu tukutane katika uzi sahihi au leo
Ntajoficha kidogo niwe nakoment katika ule uzi wetu wa lindo..
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Ed n Edd nEddy
JF-Expert Member
- May 3, 2011
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Nimeshindwa kuelewa huu mtiririko wako. Hicho kitabu cha la sita ndo kitabu cha shetani?
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tikakami wa lopelope
JF-Expert Member
- Oct 17, 2017
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Wewe ni modi wajF?
Ed n Edd nEddy
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Hapana
hearly
JF-Expert Member
- Jun 19, 2014
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hahahaa
hearly
JF-Expert Member
- Jun 19, 2014
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mkuu unataka kuunda ndege ""?Nitarudi kuielezea inafanyaje kazi...
Huyu mshenzi ndio alitengeza hiki kitu alikua mwanafunzi wa Johannes Kepler
Line segments in the golden ratio
A golden rectangle with longer side a and shorter side b, when placed adjacent to a square with sides of length a, will produce a similar golden rectangle with longer side a + b and shorter side a. This illustrates the relationship {\displaystyle {\frac {a+b}{a}}={\frac {a}{b}}\equiv \varphi }.
- List of numbers
- Irrational numbers
Binary1.1001111000110111011...Decimal1.6180339887498948482...
Hexadecimal1.9E3779B97F4A7C15F39...Continued fraction{\displaystyle 1+{\cfrac {1}{1+{\cfrac {1}{1+{\cfrac {1}{1+{\cfrac {1}{1+\ddots }}}}}}}}}Algebraic form{\displaystyle {\frac {1+{\sqrt {5}}}{2}}}
Infinite series{\displaystyle {\frac {13}{8}}+\sum _{n=0}^{\infty }{\frac {(-1)^{(n+1)}(2n+1)!}{(n+2)!n!4^{(2n+3)}}}}
Two quantities a and b are said to be in the golden ratio φ if
{\displaystyle {\frac {a+b}{a}}={\frac {a}{b}}=\varphi .}
One method for finding the value of φ is to start with the left fraction. Through simplifying the fraction and substituting in b/a = 1/φ,
{\displaystyle {\frac {a+b}{a}}=1+{\frac {b}{a}}=1+{\frac {1}{\varphi }}.}
Therefore,
{\displaystyle 1+{\frac {1}{\varphi }}=\varphi .}
Multiplying by φ gives
{\displaystyle \varphi +1=\varphi ^{2}}
which can be rearranged to
{\displaystyle {\varphi }^{2}-\varphi -1=0.}
Using the quadratic formula, two solutions are obtained:
{\displaystyle \varphi ={\frac {1+{\sqrt {5}}}{2}}=1.61803\,39887\dots }
and
{\displaystyle \varphi ={\frac {1-{\sqrt {5}}}{2}}=-0.6180\,339887\dots }
Because φ is the ratio between positive quantities φ is necessarily positive:
{\displaystyle \varphi ={\frac {1+{\sqrt {5}}}{2}}=1.61803\,39887\dots }
Cc
Wick snowhite Malcom Lumumba lifecoded
Da'Vinci
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- Dec 1, 2016
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Hapana mkuu nataka nibadili hiyo golden number iwe salio la benki
hearly
JF-Expert Member
- Jun 19, 2014
- 45,678
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hahaaa unachekesha nini bwege wewe
hearly
JF-Expert Member
- Jun 19, 2014
- 45,678
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hahaa capt bwana
hearly
JF-Expert Member
- Jun 19, 2014
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Aiseee sasa siuta sababisha bank waende BOT kuomba mkopo mwingine" maana acc.yako itakomba pesa za wateja wote wa hiyo bank" maana sio kwa idadi hzo za namba
shungurui
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- Sep 1, 2008
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Ni wachawi, na uchawi huwa hauwi wazi.
The Transporter
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- Aug 26, 2016
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Dunia haiendeshwi kwa namba dunia inajizungusha yenyewe sometimes haya mazungu sio ya kuyaamini
Alphaking2023
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- May 20, 2015
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Dah viva JF
snowhite
JF-Expert Member
- Aug 2, 2012
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Son hapa mbn kama umeongeza tatizo juu ya tatizo!!Nitarudi kuielezea inafanyaje kazi...
Huyu mshenzi ndio alitengeza hiki kitu alikua mwanafunzi wa Johannes Kepler
Line segments in the golden ratio
A golden rectangle with longer side a and shorter side b, when placed adjacent to a square with sides of length a, will produce a similar golden rectangle with longer side a + b and shorter side a. This illustrates the relationship {\displaystyle {\frac {a+b}{a}}={\frac {a}{b}}\equiv \varphi }.
- List of numbers
- Irrational numbers
Binary1.1001111000110111011...Decimal1.6180339887498948482...
Hexadecimal1.9E3779B97F4A7C15F39...Continued fraction{\displaystyle 1+{\cfrac {1}{1+{\cfrac {1}{1+{\cfrac {1}{1+{\cfrac {1}{1+\ddots }}}}}}}}}Algebraic form{\displaystyle {\frac {1+{\sqrt {5}}}{2}}}Infinite series{\displaystyle {\frac {13}{8}}+\sum _{n=0}^{\infty }{\frac {(-1)^{(n+1)}(2n+1)!}{(n+2)!n!4^{(2n+3)}}}}
Two quantities a and b are said to be in the golden ratio φ if
{\displaystyle {\frac {a+b}{a}}={\frac {a}{b}}=\varphi .}
One method for finding the value of φ is to start with the left fraction. Through simplifying the fraction and substituting in b/a = 1/φ,
{\displaystyle {\frac {a+b}{a}}=1+{\frac {b}{a}}=1+{\frac {1}{\varphi }}.}
Therefore,
{\displaystyle 1+{\frac {1}{\varphi }}=\varphi .}
Multiplying by φ gives
{\displaystyle \varphi +1=\varphi ^{2}}
which can be rearranged to
{\displaystyle {\varphi }^{2}-\varphi -1=0.}
Using the quadratic formula, two solutions are obtained:
{\displaystyle \varphi ={\frac {1+{\sqrt {5}}}{2}}=1.61803\,39887\dots }
and
{\displaystyle \varphi ={\frac {1-{\sqrt {5}}}{2}}=-0.6180\,339887\dots }
Because φ is the ratio between positive quantities φ is necessarily positive:
{\displaystyle \varphi ={\frac {1+{\sqrt {5}}}{2}}=1.61803\,39887\dots }
Cc
Wick snowhite Malcom Lumumba lifecoded
Mamako nimetoka kapaaaaaaa!!
Hakyamama vile!!