ecuaciones-diferenciales y música y faros-inter-plexos y análisis-funcional

Teorema:

xy^{n}·d_{x}[y] = x^{n+1}+y^{n+1}

y(x) = ( (n+1)·ln(x) )^{( 1/(n+1) )}·x

Teorema:

x^{k+1+(-n)}·y^{n}·d_{x}[y] = x^{k+1}+x^{k+(-n)}·y^{n+1}

y(x) = ( (n+1)·ln(x) )^{( 1/(n+1) )}·x

Teorema:

x·d_{x}[y] = ( x^{n}·y )^{( 1/(n+1) )}+y

y(x) = ( ( n/(n+1) )·ln(x) )^{( (n+1)/n )}·x

Ecuaciones de Clerot-LaGrange: 

Teorema:

int[ H( d_{x}[y] ) ]d[x] = x·H( d_{x}[y] )+M( d_{x}[y] )

d_{x}[y] = k

Teorema:

y = x·d_{x}[y]+d_{x}[y]^{n}

y(x) = xk+k^{n}

Teorema:

y = x·d_{x}[y]+n·ln( d_{x}[y] )

y(x) = xk+n·ln(k)

Teorema:

y^{[o(x)o] n} = x·d_{x}[y]^{n}+M( d_{x}[y] )

y(x) = ( xk^{n}+M(k) )^{[o(x)o] (1/n)}

Teorema:

y^{[o(x)o] n}+ax = x·( d_{x}[y]^{n}+a )+M( d_{x}[y] )

y(x) = ( xk^{[n:a]}+M(k) )^{[o(x)o] (1/[n:a])}

Teorema:

y(x) = x·H( d_{x}[y] )+M( d_{x}[y] )

y(x) = x·H( Anti-[ (1/s)·H(s) ]-(1) )+M( Anti-[ (1/s)·H(s) ]-(1) )

Demostración:

Sea d_{x}[y] = k ==>

1 = (1/k)·H(k)

k = Anti-[ (1/s)·H(s) ]-(1)

k = H( Anti-[ (1/s)·H(s) ]-(1) )

1 = (1/k)·H( Anti-[ (1/s)·H(s) ]-(1) )

Teorema:

y(x) = (k+1)·x·d_{x}[y]^{n+1}+M( d_{x}[y] )

y(x) = (k+1)·x·( Anti-[ s^{n}·(s+1) ]-(1) )^{n+1}+M( Anti-[ s^{n}·(s+1) ]-(1) )

k = Anti-[ s^{n}·(s+1) ]-(1)

Música Humana:

Principio:

12 tonos:

Negación a +6.

a = p+(-q)+(-1) | 12

a = 1,2,3,4,6,12

Ley: [ Re-Vs-La-Sostenido ]

p = [03] & q = [01]

p+(-q) +(-1) = 1 | 12

p = [13] & q = [11]

p+(-q) +(-1) = 1 | 12

Ley: [ Re-Sostenido-Vs-La ]

p = [04] & q = [01]

p+(-q) +(-1) = 2 | 12

p = [13] & q = [10]

p+(-q) +(-1) = 2 | 12

Ley: [ Mi-Vs-Sol-Sostenido ]

p = [05] & q = [01]

p+(-q) +(-1) = 3 | 12

p = [13] & q = [09]

p+(-q) +(-1) = 3 | 12

Ley: [ Fa-Vs-Sol ]

p = [06] & q = [01]

p+(-q) +(-1) = 4 | 12

p = [13] & q = [08]

p+(-q) +(-1) = 4 | 12

Ley musical: [ del acorde Menor ]

[01][04][08][04] = 17k

[07][10][14][10] = 41k

Ley musical: [ del acorde Mayor ]

[01][05][08][05] = 19k

[07][11][14][11] = 43k

Principio:

24 tonos:

Negación a +12.

a = p+(-q)+(-2) | 24

a = 1,2,3,4,6,8,12,24

Leyes de Bemoles:

Ley: [ Do-Sostenido-Bemol-Vs-La-Sostenido-Bemol ]

p = [04] & q = [01]

p+(-q) +(-2) = 1 | 24

p = [25] & q = [22]

p+(-q) +(-2) = 1 | 24

Ley: [ Re-Bemol-Vs-La-Bemol ]

p = [06] & q = [01]

p+(-q) +(-2) = 3 | 24

p = [25] & q = [20]

p+(-q) +(-2) = 3 | 24

Ley musical: [ del acorde Menor Bemol ]

[01][04][07][04] = 16k = 4^{2}·k

[13][16][19][16] = 64k = 4^{3}·k

Ley musical: [ del acorde Mayor Bemol ]

[01][04][09][04] = 18k = 6·3·k

[13][16][21][16] = 66k = 6·11·k

Ley musical:

[02][07][10][07] = 26k = 2·13·k

[02][07][12][07] = 28k = 4·7·k

[14][19][22][19] = 74k = 2·37·k

[14][19][24][19] = 76k = 4·19·k

Leyes de ampliación de escalera de 12 tonos:

Ley: [ Re-Vs-La-Sostenido ]

p = [05] & q = [01]

p+(-q) +(-2) = 2 | 24

p = [25] & q = [21]

p+(-q) +(-2) = 2 | 24

Ley: [ Re-Sostenido-Vs-La ]

p = [07] & q = [01]

p+(-q) +(-2) = 4 | 24

p = [25] & q = [19]

p+(-q) +(-2) = 4 | 24

Ley: [ Mi-Vs-Sol-Sostenido ]

p = [09] & q = [01]

p+(-q) +(-2) = 6 | 24

p = [25] & q = [17]

p+(-q) +(-2) = 6 | 24

Ley: [ Fa-Vs-Sol ]

p = [11] & q = [01]

p+(-q) +(-2) = 8 | 24

p = [25] & q = [15]

p+(-q) +(-2) = 8 | 24

Música Extraterrestre:

18 tonos:

Negación a +9.

a = p+(-q)+(-1) | 18

a = 1,2,3,6,9,18

20 tonos:

Negación a +10.

a = p+(-q)+(-1) | 20

a = 1,2,4,5,10,20

28 tonos:

Negación a +14.

a = p+(-q)+(-1) | 28

a = 1,2,4,7,14,28

32 tonos:

Negación a +16.

a = p+(-q)+(-1) | 32

a = 1,2,4,8,16,32

Dual: [ of Desembobulator Hawsnutch ]

If se hubiesen-kate-kute bilifetch-tated the Holy Bible,

staríen-kate-kute left-right paralel brutal condemnation.

Not se haveren-kate-kute bilifetch-tated the Holy Bible,

and staren-kate-kute central paralel brutal condemnation.

Dual:

I gonna-kate to wolk wizhawt cozhlate to gow,

by inter of my haws.

I gonna-kate to wolk wizh cozhlate to gow,

by awtter of my haws.

Hay que seguir haciendo desembobulador hawsnutch,

porque estados unidos es le país que más molesta.

No se puede encontrar la trayectoria a la Tierra,

sin un faro inter-plexo humano,

ni la trayectoria al imperio humano,

de composición de faros inter-plexos,

en estrellas no habitadas.

Ya se puede empezar a dudar de los extraterrestres,

porque llevamos dos semanas con faro inter-plexo y aun no han bajado.

Está obligada a cambiar la cienciología,

a que los extraterrestres tienen miedo a los hombres,

pudiendo contactar no bajar al planeta,

siendo los antiguos astronautas todo falso,

porque en la hora de la verdad,

cuando se puede contactar,

tienen miedo de los hombres.

Esto es lo que se va a recordar de los azeris,

que tuvieron miedo de los hombres,

porque cuando se podía contactar y no bajaron a la Tierra,

por molestar-me a mi y a Júpiter,

diciendo que los dioses de los hombres no son humanos.

Arte:

[En][ int[x = 0]-[1][ ( 1/(x^{2n+1}+(-1)) ) ]d[x] = (1/(2n+1))·( ((2n)!+(-1))/n! )·ln(0) ]

Exposición:

n = 1

F(x) = ln(x^{2n+1}+(-1)) [o(x)o] ( x /o(x)o/ x^{2n+1} ) 

ln(x^{2n+1}+(-1))  = ln(x^{n+n+1}+(-1)) = ln(x^{n+(-n)+1}+(-1)) = ln(x+(-1)) = ...

... ln(x^{(1/2)+(1/2)}+(-1)) = ln(x^{(1/2)+(-1)·(1/2)}+(-1)) = ln(1+(-1)) = ln(0)

(2n)! = ( ((3/2)+(1/2))·n )! = ( ((3/2)+(-1)·(1/2))·n )! = n!

Ley:

[ A ] = El centro de la galaxia.

[ B ] = El Sol o El Sol-Kepler.

[ {a_{1}},...,{a_{n}} ] = Imperio Estelar Humano.

Ley:

[ B ] = El Sol o El Sol-Kepler.

[ C ] = La Tierra o Cygnus-Kepler.

[ {b_{1}},...,{b_{n}} ] = Imperio Solar Humano.

Ley:

[ B ] = El Sol o El Sol-Kepler.

[ {a_{k}} ] = Estrella del Imperio Estelar Humano.

[ {c_{k(1)}},...,{c_{k(n)}} ] = Imperio Extra-Solar Humano.

Ley:

[En][ n = 0 & int-int[ [ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] ]d[x]d[x] = int[ [ A ] ]d[x] x int[ [ B ] ]d[x] ]

Deducción:

int-int[ [ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] ]d[x]d[x] = ...

... int-int[ sum[k = 0]-[n][ (k+2)·x^{k} ] ]d[x]d[x] = ...

... sum[k = 0]-[n][ int-int[ (k+2)·x^{k} ]d[x]d[x] ] = ...

... sum[k = 0]-[n][ (k+2)·int-int[ x^{k} ]d[x] ] = ...

... sum[k = 0]-[n][ (k+2)·int[ (1/(k+1))·x^{k+1} ]d[x] ] = ...

... sum[k = 0]-[n][ (1/(k+1))·(k+2)·int[ x^{k+1} ]d[x] = sum[k = 0]-[n][ (1/(k+1))·x^{k+2}

Si n = 0 ==> (1/(n+1))·x^{n+2} = x^{2} = int[ [ A ] ]d[x] x int[ [ B ] ]d[x]

Ley:

[En][EW][ n = 1 & d_{x}[ [ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] ] = [ A ]-[ B ]-[ W ] ]

Deducción:

d_{x}[ [ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] ] = d_{x}[ sum[k = 0]-[n][ (k+2)·x^{k} ] ] = ...

... sum[k = 0]-[n][ (k+2)·d_{x}[ x^{k} ] ] = sum[k = 1]-[n][ (k+2)·kx^{k+(-1)} ]

Si n = 1 ==> (n+2)·nx^{n+(-1)} = 3 = [ A ]-[ B ]-[ W ]

Arte-físico: [ de destructor de faro inter-plexo de alma ]

Sea [ M ]-[ 0 ] = [ M ] ==>

[EA][ [ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] = [ B ]-[ {a_{1}},...,{a_{n}} ] ]

Exposición:

A = 0

[ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] = sum[k = 0]-[n][ (k+2)·x^{k} ] = ...

... sum[k = 0]-[n][ (k+(3/2)+(1/2))·x^{k} ] = sum[k = 0]-[n][ (k+(3/2)+(-1)·(1/2))·x^{k} ] = ...

... sum[k = 0]-[n][ (k+1)·x^{k} ] = [ B ]-[ {a_{1}},...,{a_{n}} ]

Arte-físico: [ de destructor de faro inter-plexo de alma ]

Sea [ M ]-[ 0 ] = [ M ] ==>

[EA][EB][ [ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] = [ {a_{1}},...,{a_{n}} ] ]

Exposición:

A = 0 & B = 0

[ A ]-[ B ]-[ {a_{1}},...,{a_{n}} ] = sum[k = 0]-[n][ (k+2)·x^{k} ] = ...

... sum[k = 0]-[n][ (k+1+1)·x^{k} ] = sum[k = 0]-[n][ (k+1+(-1))·x^{k} ] = ...

... sum[k = 0]-[n][ kx^{k} ] = [ {a_{1}},...,{a_{n}} ]

Hay zona neutral entre imperios,

solo pudiendo ir con paz,

a la estrella metrópoli.

Teorema:

Sea A[x_{n}] = x_{1} o ... o x_{n} ==> [Ez_{n}][ |z_{n}| = 1 & lim[n = oo][ A[z_{n}] = 0^{oo} ] ]

Demostración:

Se define z_{k} = < 0,...,1_{k},...,0 >

Teorema:

Sea A[x_{n}] = x_{1}+...+x_{n} ==> [Ez_{n}][ |z_{n}| = 1 & lim[n = oo][ A[z_{n}] = 1 ] ]

Demostración:

Se define z_{k} = < 0,...,1_{k},...,0 >

Teorema:

Si ( lim[n = oo][ x_{n} ] = x & lim[n = oo][ y_{n} ] = y ) ==> ...

... lim[n = oo][ A[x_{n}]+y_{n} ] = A[x]+y <==> lim[n = oo][ A[x_{n}] ] = A[x]

Demostración:

lim[n = oo][ A[x_{n}] ]+lim[n = oo][ y_{n} ] = A[x]+y

lim[n = oo][ A[x_{n}] ]+y = A[x]+y

lim[n = oo][ A[x_{n}] ] = A[x]

Teorema:

Si ( lim[n = oo][ x_{n} ] = x & lim[n = oo][ y_{n} ] = y ) ==> ...

... lim[n = oo][ A[x_{n}]·y_{n} ] = A[x]·y <==> lim[n = oo][ A[x_{n}] ] = A[x]

Demostración:

lim[n = oo][ A[x_{n}] ]·lim[n = oo][ y_{n} ] = A[x]·y

lim[n = oo][ A[x_{n}] ]·y = A[x]·y

lim[n = oo][ A[x_{n}] ] = A[x]

Teorema:

Si A es un operador invertible ==> [As][ s > 0 ==> [Ex_{0}][ | A[x_{0}]+(-y) | < s ] ]

Demostración:

Sea s > 0 ==>

Se define x_{0} = A^{o(-1)}[y] ==>

| A[x_{0}]+(-y) | = | A[ A^{o(-1)}[y] ]+(-y) | = | y+(-y) | = 0 < s

Teorema:

Si A es un operador invertible ==> ...

... [As][ s > 0 ==> [Ek][An][ n > k ==> [Ex_{n}][ | A[x_{n}]+(-y) | < s ] ] ]

Demostración:

Sea s > 0 ==>

Se define k > (1/s) ==>

Sea n > k ==>

Se define x_{n} = A^{o(-1)}[(1/n)+y] ==>

| A[x_{n}]+(-y) | = | A[ A^{o(-1)}[(1/n)+y] ]+(-y) | = | (1/n)+y+(-y) | = (1/n) < (1/k) < s

Teorema:

Sea ( A un operador acotado & lim[n = oo][ x_{n} ] = x ) ==> ...

... Si ( x_{n} = 0  ==> A[x_{n}] = 0^{k+1} ) ==> [An][EM][ | A[x_{n}] | >] M·|x_{n}| ]

Sea ( A un operador acotado & lim[n = oo][ x_{n} ] = x ) ==> ...

... Si ( x_{n} = 0 ==> A[x_{n}] = 0^{k+1} ) ==> [An][EM][ | A[x_{n}] | [< M·|x_{n}| ]

Demostración:

Sea n € N ==> 

Se define M = min{ ( | A[x_{n}] |/|x_{n}| ) } ==>

( | A[x_{n}] |/|x_{n}| ) >] M

| A[x_{n}] | >] M·|x_{n}|

Sea n € N ==> 

Se define M = max{ ( | A[x_{n}] |/|x_{n}| ) } ==>

( | A[x_{n}] |/|x_{n}| ) [< M

| A[x_{n}] | [< M·|x_{n}|

Acepto dioses del universo en mi mente,

pero lo que no acepto es contactos con supuestos dioses,

no sabiendo la física del híper-espacio.