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] )
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}} ]
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:
[1] Sea ( A un operador acotado & lim[n = oo][ x_{n} ] = x ) ==> ...
... Si 0 [< x_{n} [< 1 ==> [An][EM][ | A[x_{n}] | >] M ]
[2] Sea ( A un operador acotado & lim[n = oo][ x_{n} ] = x ) ==> ...
... Si x_{n} >] 1 ==> [An][EM][ | A[x_{n}] | [< M ]
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 ]
Acepto dioses del universo en mi mente,
pero lo que no acepto es contactos con supuestos dioses,
no sabiendo la física del híper-espacio.
Ninguien de ningún Gestalt tiene voces y solo tienen los señores,
siendo correcta la teoría de los viajes estelares.
Ahora ya las voces son esquizofrenia,
si no eres señor científico,
y se reza un psiquiatra,
si no se creen que están enfermos por Hobbes
Principio:
d[ d[T(t)] ] = (d[p]+(-1)·d[q])·R
Ley:
Si p = q ==> T(t) es estática
Deducción:
d[T(t)] = d[q]·R
T(t) = int[ d[T(t)] ]= int[ d[q]·R ] = R·int[ d[q] ] = Rq
Ley: [ de enfriamiento polinómica ]
Si d[ d[T(t)] ] = ( d[q]+(-1)·d[q]·(ut)^{n} )·R ==> [At][ t >] (1/u) ==> T(t) tiende a ser estática ]
Ley: [ de calentamiento polinómico ]
Si d[ d[T(t)] ] = ( d[p]·(ut)^{n}+(-1)·d[p] )·R ==> [At][ t >] (1/u) ==> T(t) tiende a ser estática ]
Ley:
Si d[ d[T(t)] ] = d[(1/a)]+Te^{(-1)·ut}·d[ut] ==> ...
... [At][ t >] (1/u)·ln(aT) ==> T(t) tiende a ser estática ]
Deducción:
d[ d[T(t)] ] = d[(1/a)]+Te^{(-1)·ut}·d[ut] = d[(1/a)]+(-1)·T·d[e^{(-1)·ut}]
d[T(t)] = int[ d[ d[T(t)] ] ] = int[ d[(1/a)]+(-1)·T·d[e^{(-1)·ut}] ] = ...
... int[ d[(1/a)] ]+int[ (-1)·T·d[e^{(-1)·ut}] ] = ...
...int[ d[(1/a)] ]+(-1)·T·int[ d[e^{(-1)·ut}] ] = (1/a)+(-1)·Te^{(-1)·ut}
Sea t = (1/u)·ln(aT) ==>
d[T(t)] = (1/a)+(-1)·Te^{(-1)·u·(1/u)·ln(aT)} = (1/a)+(-1)·(1/a) = 0 = d[(1/a)]
[At][ t >] (1/u)·ln(aT) ==> T(t) = (1/a) ]
Ley:
Si d[ d[T(t)] ] = d[(1/a)]+(-1)·T·(1/(ut))·d[ut] ==> ...
... [At][ t >] (1/u)·e^{(1/(aT))} ==> T(t) tiende a ser estática ]