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Guru Granth Sahib
Composition, Arrangement & Layout
ਜਪੁ | Jup
ਸੋ ਦਰੁ | So Dar
ਸੋਹਿਲਾ | Sohilaa
ਰਾਗੁ ਸਿਰੀਰਾਗੁ | Raag Siree-Raag
Gurbani (14-53)
Ashtpadiyan (53-71)
Gurbani (71-74)
Pahre (74-78)
Chhant (78-81)
Vanjara (81-82)
Vaar Siri Raag (83-91)
Bhagat Bani (91-93)
ਰਾਗੁ ਮਾਝ | Raag Maajh
Gurbani (94-109)
Ashtpadi (109)
Ashtpadiyan (110-129)
Ashtpadi (129-130)
Ashtpadiyan (130-133)
Bara Maha (133-136)
Din Raen (136-137)
Vaar Maajh Ki (137-150)
ਰਾਗੁ ਗਉੜੀ | Raag Gauree
Gurbani (151-185)
Quartets/Couplets (185-220)
Ashtpadiyan (220-234)
Karhalei (234-235)
Ashtpadiyan (235-242)
Chhant (242-249)
Baavan Akhari (250-262)
Sukhmani (262-296)
Thittee (296-300)
Gauree kii Vaar (300-323)
Gurbani (323-330)
Ashtpadiyan (330-340)
Baavan Akhari (340-343)
Thintteen (343-344)
Vaar Kabir (344-345)
Bhagat Bani (345-346)
ਰਾਗੁ ਆਸਾ | Raag Aasaa
Gurbani (347-348)
Chaupaday (348-364)
Panchpadde (364-365)
Kaafee (365-409)
Aasaavaree (409-411)
Ashtpadiyan (411-432)
Patee (432-435)
Chhant (435-462)
Vaar Aasaa (462-475)
Bhagat Bani (475-488)
ਰਾਗੁ ਗੂਜਰੀ | Raag Goojaree
Gurbani (489-503)
Ashtpadiyan (503-508)
Vaar Gujari (508-517)
Vaar Gujari (517-526)
ਰਾਗੁ ਦੇਵਗੰਧਾਰੀ | Raag Dayv-Gandhaaree
Gurbani (527-536)
ਰਾਗੁ ਬਿਹਾਗੜਾ | Raag Bihaagraa
Gurbani (537-556)
Chhant (538-548)
Vaar Bihaagraa (548-556)
ਰਾਗੁ ਵਡਹੰਸ | Raag Wadhans
Gurbani (557-564)
Ashtpadiyan (564-565)
Chhant (565-575)
Ghoriaan (575-578)
Alaahaniiaa (578-582)
Vaar Wadhans (582-594)
ਰਾਗੁ ਸੋਰਠਿ | Raag Sorath
Gurbani (595-634)
Asatpadhiya (634-642)
Vaar Sorath (642-659)
ਰਾਗੁ ਧਨਾਸਰੀ | Raag Dhanasaree
Gurbani (660-685)
Astpadhiya (685-687)
Chhant (687-691)
Bhagat Bani (691-695)
ਰਾਗੁ ਜੈਤਸਰੀ | Raag Jaitsree
Gurbani (696-703)
Chhant (703-705)
Vaar Jaitsaree (705-710)
Bhagat Bani (710)
ਰਾਗੁ ਟੋਡੀ | Raag Todee
ਰਾਗੁ ਬੈਰਾੜੀ | Raag Bairaaree
ਰਾਗੁ ਤਿਲੰਗ | Raag Tilang
Gurbani (721-727)
Bhagat Bani (727)
ਰਾਗੁ ਸੂਹੀ | Raag Suhi
Gurbani (728-750)
Ashtpadiyan (750-761)
Kaafee (761-762)
Suchajee (762)
Gunvantee (763)
Chhant (763-785)
Vaar Soohee (785-792)
Bhagat Bani (792-794)
ਰਾਗੁ ਬਿਲਾਵਲੁ | Raag Bilaaval
Gurbani (795-831)
Ashtpadiyan (831-838)
Thitteen (838-840)
Vaar Sat (841-843)
Chhant (843-848)
Vaar Bilaaval (849-855)
Bhagat Bani (855-858)
ਰਾਗੁ ਗੋਂਡ | Raag Gond
Gurbani (859-869)
Ashtpadiyan (869)
Bhagat Bani (870-875)
ਰਾਗੁ ਰਾਮਕਲੀ | Raag Ramkalee
Ashtpadiyan (902-916)
Gurbani (876-902)
Anand (917-922)
Sadd (923-924)
Chhant (924-929)
Dakhnee (929-938)
Sidh Gosat (938-946)
Vaar Ramkalee (947-968)
ਰਾਗੁ ਨਟ ਨਾਰਾਇਨ | Raag Nat Narayan
Gurbani (975-980)
Ashtpadiyan (980-983)
ਰਾਗੁ ਮਾਲੀ ਗਉੜਾ | Raag Maalee Gauraa
Gurbani (984-988)
Bhagat Bani (988)
ਰਾਗੁ ਮਾਰੂ | Raag Maaroo
Gurbani (889-1008)
Ashtpadiyan (1008-1014)
Kaafee (1014-1016)
Ashtpadiyan (1016-1019)
Anjulian (1019-1020)
Solhe (1020-1033)
Dakhni (1033-1043)
ਰਾਗੁ ਤੁਖਾਰੀ | Raag Tukhaari
Bara Maha (1107-1110)
Chhant (1110-1117)
ਰਾਗੁ ਕੇਦਾਰਾ | Raag Kedara
Gurbani (1118-1123)
Bhagat Bani (1123-1124)
ਰਾਗੁ ਭੈਰਉ | Raag Bhairo
Gurbani (1125-1152)
Partaal (1153)
Ashtpadiyan (1153-1167)
ਰਾਗੁ ਬਸੰਤੁ | Raag Basant
Gurbani (1168-1187)
Ashtpadiyan (1187-1193)
Vaar Basant (1193-1196)
ਰਾਗੁ ਸਾਰਗ | Raag Saarag
Gurbani (1197-1200)
Partaal (1200-1231)
Ashtpadiyan (1232-1236)
Chhant (1236-1237)
Vaar Saarang (1237-1253)
ਰਾਗੁ ਮਲਾਰ | Raag Malaar
Gurbani (1254-1293)
Partaal (1265-1273)
Ashtpadiyan (1273-1278)
Chhant (1278)
Vaar Malaar (1278-91)
Bhagat Bani (1292-93)
ਰਾਗੁ ਕਾਨੜਾ | Raag Kaanraa
Gurbani (1294-96)
Partaal (1296-1318)
Ashtpadiyan (1308-1312)
Chhant (1312)
Vaar Kaanraa
Bhagat Bani (1318)
ਰਾਗੁ ਕਲਿਆਨ | Raag Kalyaan
Gurbani (1319-23)
Ashtpadiyan (1323-26)
ਰਾਗੁ ਪ੍ਰਭਾਤੀ | Raag Prabhaatee
Gurbani (1327-1341)
Ashtpadiyan (1342-51)
ਰਾਗੁ ਜੈਜਾਵੰਤੀ | Raag Jaijaiwanti
Gurbani (1352-53)
Salok | Gatha | Phunahe | Chaubole | Swayiye
Sehskritee Mahala 1
Sehskritee Mahala 5
Gaathaa Mahala 5
Phunhay Mahala 5
Chaubolae Mahala 5
Shaloks Bhagat Kabir
Shaloks Sheikh Farid
Swaiyyae Mahala 5
Swaiyyae in Praise of Gurus
Shaloks in Addition To Vaars
Shalok Ninth Mehl
Mundavanee Mehl 5
ਰਾਗ ਮਾਲਾ, Raag Maalaa
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<blockquote data-quote="Sinister" data-source="post: 84846" data-attributes="member: 2684"><p><span style="font-family: 'Arial Black'">Namjap ji,</span></p><p> </p><p><span style="font-family: 'Arial Black'"><span style="color: darkred"><strong><u>Any formula that creates a system with sensitive dependence on initial conditions is a logistical equation that can explain or represent chaos theory.</u></strong></span></span></p><p> </p><p><span style="font-family: 'Arial Black'">Your confidence in my arithmetic capabilities is quite flattering but there is no possible way I could explain all of chaos theory with formulas, because a skilled chaos mathematician could come up with more variables and applications than the hairs on my head. (but, I can give you a little nibble of what I know)…what is your background?</span></p><p> </p><p><span style="font-family: 'Arial Black'">The essential prerequisites needed to understand the most basic chaos theorems includes single-variable calculus, curve-sketching, Taylor series and separable differential equations. In a few places, multivariable calculus is needed (Partial derivatives, Jacobian Matrix, divergeance theorem), you need to know linear algebra (eigenvalues and eigenvectors), need to know Fourier Ananlysis and of co{censored}… introductory physics.</span></p><p> </p><p><span style="font-family: 'Arial Black'">All equations that help explain chaos theory are non-linear (Non-linearity is a mathematical way of saying that different dynamical degrees of freedom (the variables) “act on” each other and on themselves so that a given degree of freedom evolves not in a fixed environment but in an environment that itself changes with time). Chaos equations are all non-linear, they can be Bifurcated, Fractal or exhibit something called Complexity (all chaos systems must have negative and positive feedback systems existing in extreme complexity).</span></p><p> </p><p><span style="font-family: 'Arial Black'">For example…the way in which your lungs and blood vessels bifurcate during development can be explained using chaos theory and mathematical models.</span></p><p><span style="font-family: 'Arial Black'">Eg: Koch Curve Fractal (I’ll let you research this if you are interested)</span></p><p><a href="http://www.arcytech.org/java/fractals/koch.shtml" target="_blank"><span style="font-family: 'Arial Black'">http://www.arcytech.org/java/fractals/koch.shtml</span></a></p><p> </p><p><span style="font-family: 'Arial Black'">Been a long time since I’ve visited any of them. </span></p><p> </p><p><span style="font-family: 'Arial Black'">But let me dig up some more Bifurcation for explaining biological systems (simplest of many chaos representations)</span></p><p> </p><p><span style="font-family: 'Arial Black'">X(n+1) = R X(n) (1-X(n)) often used in explaining populations</span></p><p><a href="http://hornacek.coa.edu/dave/Chaos/orbits.html" target="_blank"><span style="font-family: 'Arial Black'">http://hornacek.coa.edu/dave/Chaos/orbits.html</span></a></p><p> </p><p><span style="font-family: 'Arial Black'">where R is a parameter, and X(n) is the variable at the nth iteration with value between 1 and 0, and n can be considered as the running variable.</span></p><p> </p><p><span style="font-family: 'Arial Black'">It is a recursive equation, which generates a new value from the previous value. It can be used as a simple model for species population with no predators, but limited food supply (a human race without disease, war and predator deaths). In this case, the population is a number between 0 and 1, where 1 represents the maximum possible population and 0 represents extinction. R is the growth rate, and n is the generation number.</span></p><p><span style="font-family: 'Arial Black'">For more information I found this page: </span><a href="http://universe-review.ca/R01-09-chaos.htm" target="_blank"><span style="font-family: 'Arial Black'">http://universe-review.ca/R01-09-chaos.htm</span></a></p><p> </p><p><span style="font-family: 'Arial Black'">There are many more mathematical representations that represent chaos theory… most are extremely complex, many are well over my head and my areas of expertise. </span></p><p> </p><p><span style="font-family: 'Arial Black'">Its applied everywhere nowadays… </span></p><p> </p><p><span style="font-family: 'Arial Black'">Research something called Lorenz’s Waterwheel!!! </span></p><p><span style="font-family: 'Arial Black'">He explains the workings of a leaky waterwheel and why it exhibits chaotic motion (keeping in continuity with our previous discussion on water wheels) </span></p><p> </p><p><span style="font-family: 'Arial Black'">Its wild…here is an excellent simulation of the waterwheel (bottom of the page…must be downloaded)</span></p><p> </p><p><a href="http://public.globalnet.hr/~gvlahovi/lorenz/lorenzww_eng.htm" target="_blank"><span style="font-family: 'Arial Black'">http://public.globalnet.hr/~gvlahovi/lorenz/lorenzww_eng.htm</span></a></p></blockquote><p></p>
[QUOTE="Sinister, post: 84846, member: 2684"] [FONT=Arial Black]Namjap ji,[/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black][COLOR=darkred][B][U]Any formula that creates a system with sensitive dependence on initial conditions is a logistical equation that can explain or represent chaos theory.[/U][/B][/COLOR][/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]Your confidence in my arithmetic capabilities is quite flattering but there is no possible way I could explain all of chaos theory with formulas, because a skilled chaos mathematician could come up with more variables and applications than the hairs on my head. (but, I can give you a little nibble of what I know)…what is your background?[/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]The essential prerequisites needed to understand the most basic chaos theorems includes single-variable calculus, curve-sketching, Taylor series and separable differential equations. In a few places, multivariable calculus is needed (Partial derivatives, Jacobian Matrix, divergeance theorem), you need to know linear algebra (eigenvalues and eigenvectors), need to know Fourier Ananlysis and of co{censored}… introductory physics.[/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]All equations that help explain chaos theory are non-linear (Non-linearity is a mathematical way of saying that different dynamical degrees of freedom (the variables) “act on” each other and on themselves so that a given degree of freedom evolves not in a fixed environment but in an environment that itself changes with time). Chaos equations are all non-linear, they can be Bifurcated, Fractal or exhibit something called Complexity (all chaos systems must have negative and positive feedback systems existing in extreme complexity).[/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]For example…the way in which your lungs and blood vessels bifurcate during development can be explained using chaos theory and mathematical models.[/FONT] [FONT=Arial Black]Eg: Koch Curve Fractal (I’ll let you research this if you are interested)[/FONT] [URL="http://www.arcytech.org/java/fractals/koch.shtml"][FONT=Arial Black]http://www.arcytech.org/java/fractals/koch.shtml[/FONT][/URL] [FONT=Arial Black] [/FONT] [FONT=Arial Black]Been a long time since I’ve visited any of them. [/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]But let me dig up some more Bifurcation for explaining biological systems (simplest of many chaos representations)[/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]X(n+1) = R X(n) (1-X(n)) often used in explaining populations[/FONT] [URL="http://hornacek.coa.edu/dave/Chaos/orbits.html"][FONT=Arial Black]http://hornacek.coa.edu/dave/Chaos/orbits.html[/FONT][/URL] [FONT=Arial Black] [/FONT] [FONT=Arial Black]where R is a parameter, and X(n) is the variable at the nth iteration with value between 1 and 0, and n can be considered as the running variable.[/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]It is a recursive equation, which generates a new value from the previous value. It can be used as a simple model for species population with no predators, but limited food supply (a human race without disease, war and predator deaths). In this case, the population is a number between 0 and 1, where 1 represents the maximum possible population and 0 represents extinction. R is the growth rate, and n is the generation number.[/FONT] [FONT=Arial Black]For more information I found this page: [/FONT][URL="http://universe-review.ca/R01-09-chaos.htm"][FONT=Arial Black]http://universe-review.ca/R01-09-chaos.htm[/FONT][/URL] [FONT=Arial Black] [/FONT] [FONT=Arial Black]There are many more mathematical representations that represent chaos theory… most are extremely complex, many are well over my head and my areas of expertise. [/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]Its applied everywhere nowadays… [/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]Research something called Lorenz’s Waterwheel!!! [/FONT] [FONT=Arial Black]He explains the workings of a leaky waterwheel and why it exhibits chaotic motion (keeping in continuity with our previous discussion on water wheels) [/FONT] [FONT=Arial Black] [/FONT] [FONT=Arial Black]Its wild…here is an excellent simulation of the waterwheel (bottom of the page…must be downloaded)[/FONT] [FONT=Arial Black] [/FONT] [URL="http://public.globalnet.hr/~gvlahovi/lorenz/lorenzww_eng.htm"][FONT=Arial Black]http://public.globalnet.hr/~gvlahovi/lorenz/lorenzww_eng.htm[/FONT][/URL] [FONT=Arial Black][/FONT] [/QUOTE]
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