ecuaciones-diferenciales y música y faros-inter-plexos y análisis-funcional y psico-neurología y arte-matemático

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.

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 en mujeres élficas y señora élfica ]

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 en hombres humanos ]

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}} ]

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

Sea ( [ M ]-[ 0 ] = [ M ] & [ M ]-[ 0,...,0 ] = [M ] ) ==>

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

Exposición:

A = 0 & {a_{i}} = 0

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

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

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

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:

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

... Si 0 [< x_{n} [< 1 ==> [An][EM][ | A[x_{n}] | >] M·|x_{n}| ]

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

... Si x_{n} >] 1 ==> [An][EM][ | A[x_{n}] | [< M·|x_{n}| ]

Demostración:

[1] Sea n € N ==> 

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

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

[2] Sea n € N ==> 

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

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

Teorema:

[1] Sea lim[n = oo][ x_{n} ] = x ==> ...

... Si [An][ x_{n} < A[x_{n}] ] ==> A[x] != x ]

[2] Sea lim[n = oo][ x_{n} ] = x ==> ...

... Si [An][ x_{n} > A[x_{n}] ] ==> A[x] != x ]

Demostración:

[1] Sea n € N ==>

x_{n+1} < A[x_{n+1}] [< max{A[x_{k}]}

x_{n+1} >] max{A[x_{k}]}

Sea n = oo ==>

x_{oo} [< A[x_{oo}] [< max{A[x_{k}]} [< x_{oo+1}

A[x] != x

[2] Sea n € N ==>

x_{n+1} > A[x_{n+1}] >] min{A[x_{k}]}

x_{n+1} [< min{A[x_{k}]}

Sea n = oo ==>

x_{oo} >] A[x_{oo}] >] min{A[x_{k}]} >] x_{oo+1}

A[x] != x

Ley:

Estado psicológico lineal:

F(x,y) = ax+by

Corriente en el cerebro resonante de Satélite:

q(t) = qe^{(1/a)·t}

p(t) = pe^{(-1)·(1/b)·t}

Corriente en el cerebro Anti-resonante de Esclerosis:

q(t) = qe^{(-1)·(1/a)·t}

p(t) = pe^{(1/b)·t}

Corriente de velocidad de Agorafobia de doble mandamiento:

q(x) = qe^{(1/(av))·x}

p(x) = pe^{(-1)·(1/(bv))·x}

q(x) = qe^{(-1)·(1/(av))·x}

p(x) = pe^{(1/(bv))·x}

Ley:

Corriente en el cerebro resonante de Párkinson-A:

q(t) = q·cos( (1/a)·t )+qi·sin( (-1)·(1/b)·t )

q(t) = q·cos( (1/b)·t )+qi·sin( (-1)·(1/a)·t )

Corriente en el cerebro resonante de Párkinson-B:

p(t) = p·cosh( (1/a)·t )+p·sinh( (-1)·(1/b)·t )

p(t) = p·cosh( (1/b)·t )+p·sinh( (-1)·(1/a)·t )

Ley:

Estado psicológico polinómico:

F( w(x) ) = w(x)+ax+(-b)

G( w(x) ) = w(x)+ax+b

Corriente en el cerebro resonante de Bipolar:

q(t) = qe^{(b/a)·t}

p(t) = pe^{(-1)·(b/a)·t}

Corriente en el cerebro Anti-resonante de Alzheimer:

q(t) = qe^{(-1)·(b/a)·t}

p(t) = pe^{(b/a)·t}

Corriente de velocidad de Voces:

q(x) = qe^{(b/(av))·x}

p(x) = pe^{(-1)·(b/(av))·x}

Ley:

Corriente en el cerebro resonante de Ansiedad-A:

q(t) = q·cos( (b/a)·t )+qi·sin( (-1)·(b/a)·t )

Corriente en el cerebro resonante de Ansiedad-B:

p(t) = p·cosh( (b/a)·t )+p·sinh( (-1)·(b/a)·t )

Esquizo-Afección Bipolar de Disc-Joquey:

Error de Conducir Fumado:

Una voz en la mente te dice que música es buena.

Una voz en la mente te dice que música es mala.

Delirios Bipolares:

[ b es un disco bueno según la voz en la mente ]

[ b es un disco malo según la voz en la mente ]

Se coge depresión cuando se pierde un disco bueno,

que es malo en realidad,

porque la voz se tiene que negar.

Artes de Rogers-Ramanujan:

Arte:

[Eq][ frac[n = 1]-[oo][ q^{n}/(1+q^{n+1}) ] = q·( 1/(1+(-1)·q^{2}) ) ]

Exposición:

q = 0

frac[k = 1]-[n][ q^{k}/(1+q^{k+1}) ] = ...

... frac[n = 1]-[n+(-1)][ q^{k}/(1+q^{k+1}) ] o q^{n}+q^{2n+1} = sum[k = 0]-[n][ q^{2k+1} ]

Arte:

[Eq][ frac[n = 1]-[oo][ nq^{(1/n)}/(1+(n+1)·q^{( 1/(n+1) )}) ] = q·( 1/(1+(-1)·q^{2}) ) ]

Exposición:

q = 0

frac[k = 1]-[n][ kq^{(1/k)}/(1+(k+1)·q^{( 1/(k+1) )}) ] = ...

... frac[n = 1]-[n+(-1)][ kq^{(1/k)}/(1+(k+1)·q^{( 1/(k+1) )}) ] o nq^{(1/n)}+...

... n·(n+1)·q^{( 1/(n·(n+1)) )·(2n+1)} = ...

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

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

Arte:

[Eq][ frac[n = 1]-[oo][ nq^{n}/(1+(n+1)·q^{n+1}) ] = q ]

Exposición:

q = 0

f(k) = 0 

frac[k = 1]-[n][ kq^{k}/(1+(k+1)·q^{k+1}) ] = ...

... frac[n = 1]-[n+(-1)][ kq^{k}/(1+(k+1)·q^{k+1}) ] o nq^{n}+n·(n+1)·q^{2n+1} = ...

... sum[k = 1]-[n][ ( k·(k+1) ) q^{2k+1} ] = sim[k = 1]-[n][ 0q ] = 0n·q

Ley:

El Ollioules tiene 83 var,

y un var = un voto autonómico regional,

que es un escaño en Occitania,

y gobierna Occitania.

Los 83 escaños del Ollioules,

son 4 o 8 millones de personas,

que quieren cambiar le Françé.

No es independencia,

es el idioma que lo quieren cambiar,

y me han votado a mi.

Ley:

Tenéis que intentar contactar con el PP,

por correo electrónico,

para saber la normalidad de los almogávares,

porque de o da error siempre,

y deben estar todos muertos,

como supongo que también Vox.

Televisión como dice mi cuñado es Matrix,

y es todo una simulación con ordenadores.

Dual:

Ne era pont-de-suá oficiel le françé de-le-Patuá de-le-dans La-Franç,

mentruá D'Alembert cupuá,

de-le-dans sa-fut sansvec escuns,

dawnuá sa-pe-tutch de-le-dans a-çutch.

És-de-puá oficiel le françé de-le-Patuá de-le-dans La-Franç,

cuant La-Place cupuá,

de-le-dans sa-fut avec escuns,

upuá sa-pe-tutch de-le-dans a-çutch.