Ley:
mv·d_{t}[q] = q·F(t)·(ut)^{n}
q(t) = ( (1/(mv))·q )·int[ F(t) ]d[t] [o(t)o] (1/u)·(1/(n+1))·(ut)^{n+1}
Ley:
mv·d_{t}[q] = q(t)·F(t)·(ut)^{n}
q(t) = qe^{(1/(mv))·int[ F(t) ]d[t] [o(t)o] (1/u)·(1/(n+1))·(ut)^{n+1}}
Sal:
n = 1
Na-Cl
Azúcar:
n = 2
A-O-B
Hierro:
n = 3
A-Fe=Fe-B
mr·d_{t}[q]^{2} = pq·F(t)·(ut)^{n}
q(t) = ( (1/(mr))·pq )^{(1/2)}·int[ ( F(t) )^{(1/2)} ]d[t] [o(t)o] (1/u)·(2/(n+2))·(ut)^{( (n+2)/2 )}
Ley:
mr·d_{t}[q]^{2} = pq(t)·F(t)·(ut)^{n}
q(t) = ( (1/(mr))·p )·( (1/2)·int[ ( F(t) )^{(1/2)} ]d[t] [o(t)o] (1/u)·(2/(n+2))·(ut)^{( (n+2)/2 )} )^{2}
Mono-Leucocitos de tiroides:
n = 2
A-O-O-B
Antibiótico de 1 destructor en sangre:
1 = (1/2)+(1/2)
Fumar:
COOH_{4}+A-O-O-B <==> C·(OH)_{4}+A-B
Gluten:
n = 4
B-O-A-B-O-A
Bi-Leucocitos de tiroides:
n = 6
A-B-A-O-O-B-A-B
Antibiótico de 2 destructores en sangre:
2 = (1/2)+(1/2)+(1/2)+(1/2)
Fumar:
COOH_{4}+A-B-A-O-O-B-A-B <==> C·(OH)_{4}+A-B-A-B-A-B
Ley:
b(x,y,t) = int-int[ d_{xy}^{2}[ m(x,y) ] ]d[x]d[y]·u·(ut)^{n}
M(x,y,t) = m(x,y)·(1/(n+1))·(ut)^{n+1}
Ley:
k(x,y,t) = int-int[ d_{xy}^{2}[ m(x,y) ] ]d[x]d[y]·u^{2}·(-n)·(ut)^{n+(-1)}
M(x,y,t) = m(x,y)·(1/(n+1))·(ut)^{n+1}
Ley:
b(x,y,t) = int-int[ d_{xy}^{2}[ m(x,y) ] ]d[x]d[y]·u·(ut)^{(n/2)}
M(x,y,t) = m(x,y)·(2/(n+2))·(ut)^{( (n+2)/2)}
Ley:
k(x,y,t) = int-int[ d_{xy}^{2}[ m(x,y) ] ]d[x]d[y]·u^{2}·(2/n)·(ut)^{( (n+(-2))/2 )}
M(x,y,t) = m(x,y)·(2/(n+2))·(ut)^{( (n+2)/2)}
Teorema:
Sea h_{n}: {i^{n}} x R ---> {i^{n+1}} x R ==>
[Ef(x)][ f: [0,3]_{N} x R ---> {i^{n}} x R & f(x) es biyectiva ]
Demostración:
Sea n = 4k+r ==>
Se define f(r,x) = < i^{4k+r},x >
f(r,x) = f(s,y)
< i^{4k+r},x > = < i^{4k+s},y >
i^{r} = i^{s} & x = y
r = s & x = y
< r,x > = < s,y >
Teorema:
Sea h_{n}: {i^{n}} x R ---> {i^{n+1}} x R ==>
[Eg(x)][ g: [0,3]_{N} x R ---> {i^{n+1}} x R & g(x) es biyectiva ]
Demostración:
Sea n = 4k+r ==>
Se define g(r,x) = < i^{4k+(r+1)},x >
g(r,x) = g(s,y)
< i^{4k+(r+1)},x > = < i^{4k+(s+1)},y >
i^{r+1} = i^{s+1} & x = y
r+1 = s+1 & x = y
r = s & x = y
< r,x > = < s,y >
Arte:
Sea h_{k}: P_{k}(A) ---> P_{k+1}(A) ==>
[Ef(x)][ f: A ---> P_{k}(A) & f(x) es biyectiva ]
Exposición:
w(k) = n+(-1)
Se define < f: A ---> [ n // n+(-1) ] & f(x) = A [&] }x{ >
f(x) = f(y)
A [&] }x{ = A [&] }y{
}x{ = }y{
x = y
Arte:
Sea h_{k}: P_{k}(A) ---> P_{k+1}(A) ==>
[Eg(x)][ g: A ---> P_{k+1}(A) & g(x) es biyectiva ]
Exposición:
w(k) = n+(-2)
Se define < g: A ---> [ n // n+(-1) ] & g(x) = A [&] }x{ >
Homologías de Figalli:
Arte:
Sea h_{n}: f(nx) ---> f((n+1)·x) ==>
[Ef(x)][ f(x) = f((n+1)·x)+(-1)·f(nx) ]
Exposición:
f(x) = Id(x)
w(f(x)) = Id(x)
Arte:
Sea h_{n}: f(x^{n}) ---> f(x^{n+1}) ==>
[Ef(x)][ ln( f(x) ) = ln( f(x^{n+1}) )+(-1)·ln( f(x^{n}) ) ]
Exposición:
f(x) = Id(x)
w(f(x)) = Id(x)
Arte:
Sea h_{n}: f(x+n) ---> f(x+(n+1)) ==>
[Ef(x)][ f(1) = f(x+(n+1))+(-1)·f(x+n) ]
Exposición:
f(x) = Id(x)
w(f(x)) = Id(x)
Arte:
Sea h_{n}: f(x^{[m:n]}) ---> f(x^{[m:n+1]}) ==>
[Ef(x)][ f(1) = f(x^{[m:n+1]})+(-1)·f(x^{[m:n]}) ]
Exposición:
f(x) = Id(x)
w(f(x)) = Id(x)
Arte:
Sea h_{n}: d_{x...x}^{n}[f(x)] ---> d_{x...x}^{n+1}[f(x)] ==>
[Ef(x)][ d_{x}[f(2x)] = d_{x...x}^{2k+1}[f(x)]^{2}+(-1)·d_{x...x}^{2k}[f(x)]^{2} ]
Exposición:
f(x) = sin(x)
w(f(x)) = sin(x)
Arte:
Sea h_{n}: d_{x...x}^{n}[f(x)] ---> d_{x...x}^{n+1}[f(x)] ==>
[Ef(x)][ d_{x}[f(0)] = d_{x...x}^{2k+1}[f(x)]^{2}+(-1)·d_{x...x}^{2k}[f(x)]^{2} ]
Exposición:
f(x) = sinh(x)
w(f(x)) = sinh(x)
Ley: [ de esquizofrenia ]
Hago lo que puedo, a quien puedo, donde puedo, cuando puedo y como puedo.
Deducción:
La voz en la mente dice:
Hago lo que quiero, a quien quiero, donde quiero, cuando quiero y como quiero.
Lema:
F(x,y) = (k+(-j))·x+jy+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-j))·x+jy+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-2))+x^{k+(-j)}+y^{j}+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-2))+x^{k+(-j)}+y^{j}+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-j))·e^{x}+je^{y}+(-h)·( pe^{x}+qe^{y}+(-m) )
h(0,0) = (k/m)
G(x,y) = (k+(-j))·e^{x}+je^{y}+(-h)·( pe^{x}+qe^{y} )
G(0,0) = 0
Lema:
F(x,y) = (k+(-2))+e^{(k+(-j))·x}+e^{jy}+(-h)·( pe^{x}+qe^{y}+(-m) )
h(0,0) = (k/m)
G(x,y) = (k+(-2))+e^{(k+(-j))·x}+e^{jy}+(-h)·( pe^{x}+qe^{y} )
G(0,0) = 0
Lema:
F(x,y) = (k+(-j))·(ln(x)+1)+j·(ln(y)+1)+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-j))·(ln(x)+1)+j·(ln(y)+1)+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-2))+(ln(x)+1)^{k+(-j)}+(ln(y)+1)^{j}+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-2))+(ln(x)+1)^{k+(-j)}+(ln(y)+1)^{j}+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-j))·(ln(1+ln(x))+1)+j·(ln(1+ln(y))+1)+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-j))·(ln(1+ln(x))+1)+j·(ln(1+ln(y))+1)+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-2))+(ln(1+ln(x))+1)^{k+(-j)}+(ln(1+ln(y))+1)^{j}+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-2))+(ln(1+ln(x))+1)^{k+(-j)}+(ln(1+ln(y))+1)^{j}+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-j))·(sin(ln(x))+1)+j·(sin(ln(y))+1)+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-j))·(sin(ln(x))+1)+j·(sin(ln(y))+1)+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-2))+(sin(ln(x))+1)^{k+(-j)}+(sin(ln(y))+1)^{j}+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-2))+(sin(ln(x))+1)^{k+(-j)}+(sin(ln(y))+1)^{j}+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-j))·(sinh(ln(x))+1)+j·(sinh(ln(y))+1)+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-j))·(sinh(ln(x))+1)+j·(sinh(ln(y))+1)+(-h)·( px+qy )
G(1,1) = 0
Lema:
F(x,y) = (k+(-2))+(sinh(ln(x))+1)^{k+(-j)}+(sinh(ln(y))+1)^{j}+(-h)·( px+qy+(-m) )
h(1,1) = (k/m)
G(x,y) = (k+(-2))+(sinh(ln(x))+1)^{k+(-j)}+(sinh(ln(y))+1)^{j}+(-h)·( px+qy )
G(1,1) = 0
Definición:
... F(u^{n},v^{n}) = 0 es Hoph-resoluble ...
... <==> ...
... [E$n$ e^{(k/n)·2pi·i}][E$n$ e^{(k/n)·pi·i}][ u = e^{(k/n)·2pi·i} & v = e^{(k/n)·pi·i} ]
Definición:
Gal( F(u^{n},v^{n}) ) = 2n+1
Teorema:
Gal( F(u^{n},v^{n}) ) = 4m+1 <==> F(u^{n},v^{n}) = 0 es Hoph-irresoluble
Gal( F(u^{n},v^{n}) ) != 4m+1 <==> F(u^{n},v^{n}) = 0 es Hoph-resoluble
Demostración:
e^{(2m+1)/(2m)·2pi·i} = e^{(1/m)·pi·i+2pi·i} = e^{(1/m)·pi·i} = e^{(1/(2m))·2pi·i}
Teorema:
u+v = 0 es Hoph-resoluble
p+q = c <==> ( p = (2c)·u & q = cv )
Demostración:
F(u+v) = v+u = u+v
u = e^{(1/1)·2pi·i} & v = e^{(1/1)·pi·i}
Teorema:
u^{2}+v^{2} = 0 es Hoph-irresoluble
p^{2}+q^{2} = c <==> ( p = (2c)^{(1/2)}·u & q = c^{(1/2)}·v )
Demostración:
F(u^{2}+v^{2}) = v^{2}+u^{2} = u^{2}+v^{2}
u = e^{(1/2)·2pi·i} & v = e^{(1/2)·pi·i}
u = e^{(3/2)·2pi·i} & v = e^{(3/2)·pi·i}
Teorema:
u^{3}+v^{3} = 0 es Hoph-resoluble
p^{3}+q^{3} = c <==> ( p = (2c)^{(1/3)}·u & q = c^{(1/3)}·v )
Demostración:
F(u^{3}+v^{3}) = v^{3}+u^{3} = u^{3}+v^{3}
u = e^{(1/3)·2pi·i} & v = e^{(1/3)·pi·i}
u = e^{(3/3)·2pi·i} & v = e^{(3/3)·pi·i}
u = e^{(5/3)·2pi·i} & v = e^{(5/3)·pi·i}
Teorema:
u^{4}+v^{4} = 0 es Hoph-irresoluble
p^{4}+q^{4} = c <==> ( p = (2c)^{(1/4)}·u & q = c^{(1/4)}·v )
Demostración:
F(u^{4}+v^{4}) = v^{4}+u^{4} = u^{4}+v^{4}
u = e^{(1/4)·2pi·i} & v = e^{(1/4)·pi·i}
u = e^{(3/4)·2pi·i} & v = e^{(3/4)·pi·i}
u = e^{(5/4)·2pi·i} & v = e^{(5/4)·pi·i}
u = e^{(7/4)·2pi·i} & v = e^{(7/4)·pi·i}
Teorema:
(0.a...)_{(2n+1)} = a·( (2n+1)/(2n) )+(-a)
(0.a...)_{(2n+2)} = a·( (2n+2)/(2n+1) )+(-a)
2·4+1 = 9
10x = (a,a...)_{10} & x = (0.a...)_{10}
x = (a/9)
Demostración:
sum[k = 0]-[oo][ a·(1/(2n+1))^{k} ] = a·( (2n+1)/(2n) )
Teorema:
(0.ab...)_{(2n+1)} = b·( (4n^{3}+4n+1)/(4n^{2}+4n) )+(-b)+a·( (2n+1)/(4n^{2}+4n) )
(0.ab...)_{(2n+2)} = b·( (4n^{3}+8n+4)/(4n^{2}+8n+3) )+(-b)+a·( (2n+2)/(4n^{2}+8n+3) )
4·16+8·4+3 = 99
100x = (ab.ab...)_{10} & x = (0.ab...)_{10}
x = ( (ab)/99 )
Demostración:
sum[k = 0]-[(oo/2)][ b·(1/(2n+1))^{2k} ] = b·( (4n^{2}+4n+1)/(4n^{2}+4n) )
sum[k = 0]-[(oo/2)][ a·(1/(2n+1))^{2k+1} ] = a·( (2n+1)/(4n^{2}+4n) )
Teorema: [ de Hoph-p-àdic ]
[Ef(x)][ f( (0.a...)_{(2n+1)} ) = (-1)·e^{( 1/(2n) )·pi·i} & f(x) es biyectiva ]
[Eg(x)][ g( (0.a...)_{(2n+2)} ) = (-1)·e^{( 1/(2n+1) )·pi·i} & g(x) es biyectiva ]
Demostració:
[1] Sigui (0.a...)_{(2n+1)} = a·( (2n+1)/(2n) )+(-a) ==>
Es defineix f( a·( (2n+1)/(2n) )+(-a) ) = e^{( (2n+1)/(2n) )·pi·i}
f( a·( (2n+1)/(2n) )+(-a) ) = f( a·( (2m+1)/(2m) )+(-a) )
e^{( (2n+1)/(2n) )·pi·i} = e^{( (2m+1)/(2m) )·pi·i}
( (2n+1)/(2n) ) = ( (2m+1)/(2m) )
a·( (2n+1)/(2n) )+(-a) = a·( (2m+1)/(2m) )+(-a)
f( (0.a...)_{(2n+1)} ) = (-1)·e^{( 1/(2n) )·pi·i}
[2] Sigui (0.a...)_{(2n+2)} = a·( (2n+2)/(2n+1) )+(-a)
Es defineix g( a·( (2n+2)/(2n+1) )+(-a) ) = e^{( (2n+2)/(2n+1) )·pi·i}
g( a·( (2n+2)/(2n+1) )+(-a) ) = g( a·( (2m+2)/(2m+1) )+(-a) )
e^{( (2n+2)/(2n+1) )·pi·i} = e^{( (2m+2)/(2m+1) )·pi·i}
( (2n+2)/(2n+1) ) = ( (2m+2)/(2m+1) )
a·( (2n+2)/(2n+1) )+(-a) = a·( (2m+2)/(2m+1) )+(-a)
g( (0.a...)_{(2n+2)} ) = (-1)·e^{( 1/(2n+1) )·pi·i}
Principio:
El Tiki Taka,
es como el ying y el yang del futbol.
Cura las piernas,
de los aficionados del equipo que lo juega.
Como dicen por el mundo:
El Papa es del Real Madrid,
pero Dios es del Barça,
y tiene que ser un hospital,
siendo más que un club,
jugando al Tiki Taka,
no siendo un ejército catalán,
porque hay uno de real.
Ley: [ de tiki taka ]
Control derecho de pase desde la defensa,
y vuelta a la defensa con pierna izquierda.
Control izquierdo de pase desde la defensa,
y vuelta a la defensa con pierna derecha.
Ley: [ de arbitraje ]
Falta en este control es tarjeta amarilla,
porque se vuelve inútil el juego para la vida.
Ley: [ de tiki taka ]
Control derecho,
de pase a la izquierda de la defensa
Control izquierdo,
de pase a la derecha de la defensa.
Ley: [ de arbitraje ]
Falta en este control es tarjeta amarilla,
porque se vuelve inútil el juego para la vida.
Ley: [ de tiki taka ]
Control derecho del portero,
de disparo izquierdo en profundidad al centro del campo.
Control izquierdo del portero,
de disparo derecho en profundidad al centro del campo.
Ley: [ de arbitraje ]
Falta en este control es tarjeta roja,
porque se vuelve inútil el juego para la vida.
Historia:
El Tiki Taka no es tan diferente a la final del mundial,
solo que tiene controles en la conexión con el balón
Ley:
Sea d[I_{c}] = M·(r/j)·v·d[t] ==>
x(t) = (M/m)·(r/(jd))·vt
Sea U(w) = U·(w/k)^{n} ==>
w(t) = k·Anti-[ ( s /o(s)o/ (1/(n+1))·s^{n+1} )^{[o(s)o] (1/2)} ]-( ...
... ( U·(8/M)·(j/r)·(1/v)·t )^{(1/2)}·(1/k) )
Ley:
Sea d[I_{c}] = (r/j)·qgt·d[t] ==>
x(t) = (q/m)·(r/(jd))·(1/2)·gt^{2}
Sea U(w) = U·(w/k)^{n} ==>
w(t) = k·Anti-[ ( s /o(s)o/ (1/(n+1))·s^{n+1} )^{[o(s)o] (1/2)} ]-( ...
... ( U·(4/q)·(j/r)·(1/g) )^{(1/2)}·ln(ut)·(1/k) )
Ley:
Sea d[I_{c}] = (r/j)·(1/2)·Igt^{2}·d[t] ==>
x(t) = (I/m)·(r/(jd))·(1/6)·gt^{3}
Sea U(w) = U·(w/k)^{n} ==>
w(t) = k·Anti-[ ( s /o(s)o/ (1/(n+1))·s^{n+1} )^{[o(s)o] (1/2)} ]-( ...
... ( U·(48/I)·(j/r)·(1/g)·(1/t) )^{(1/2)}·(1/k) )
Definición: [ de Cohomología de Rham ]
F_{n}: d[x_{k}] --- F_{n}(U) = (-n)
| |
G_{n}: d[x_{j}] --- G_{n}(V) = x_{1}·...·x_{n}
Teorema:
F_{2}: x+y --- F_{2}(U) = (-2)
| |
G_{2}: y+x --- G_{2}(V) = xy
Demostración:
( x+y [o] y+x )+(-2)·xy = 0
Teorema:
F_{3}: x+y+z --- F_{3}(U) = (-3)
| |
G_{3}: yz+zx+xy --- G_{3}(V) = xyz
Demostración:
( x+y+z [o] yz+zx+xy )+(-3)·xyz = 0
Teorema:
Sea F(x,y) = < x^{n},y^{n} > & G(y,x) = < y^{n},x^{n} > ==>
F_{2}: (1/(n+1))·x^{n+1}+(1/(n+1))·y^{n+1} --- F_{2}(U) = (-2)
| |
G_{2}: (1/(n+1))·y^{n+1}+(1/(n+1))·x^{n+1} --- G_{2}(V) = (1/(n+1))^{2}·(xy)^{n+1}
Demostración:
( (1/(n+1))·x^{n+1}+(1/(n+1))·y^{n+1} [o] (1/(n+1))·y^{n+1}+(1/(n+1))·x^{n+1} )+...
... (-2)·(1/(n+1))^{2}·(xy)^{n+1} = 0
Teorema:
x^{3}+y^{3} = z^{2} tiene soluciones enteras
Demostración:
( 3 & 2 ) ternas pitagóricas
2^{3}+2^{3} = 8+8 = 16 = 4^{2}
Teorema:
x^{2}+y^{2} = z^{3} tiene soluciones enteras
Demostración:
( 2 & 3 ) ternas pitagóricas
2^{2}+2^{2} = 4+4 = 8 = 2^{3}
Teorema: [ de correcció a Willes de la Cohomología deformable de Galois ]
Sigui el coeficient de Galois el mínim dels punts fixos:
H_{2}: ( cos[1](x) )^{2} --- ( sin[1](x) )^{2} --- z^{2}
| | |
H_{3}: ( cos[2](x) )^{3} --- ( sin[2](x) )^{3} --- z^{2}
Gal(H_{2},H_{3}) = 4
H_{2}: ( cos[1](x) )^{2} --- ( sin[1](x) )^{2} --- z^{2}
| | |
H_{3}: ( cos[1](x) )^{2} --- ( sin[1](x) )^{2} --- (2z)^{3}
Gal(H_{2},H_{3}) = 4
H_{2}: ( cos[1](x) )^{2} --- ( sin[1](x) )^{2} --- z^{2}
| | |
H_{3}: ( cos[2](x) )^{3} --- ( sin[2](x) )^{3} --- (2z)^{3}
Gal(H_{2},H_{3}) = 5
Teorema: [ de Willes-Jûanágoras ]
Si Gal(H_{n},H_{n+1}) = 2n+2 ==> F(x,y,z) és resoluble per racionals
Si Gal(H_{n},H_{n+1}) = 2n+3 ==> F(x,y,z) és irresoluble per racionals
Demostració:
H_{n}: ( cos[n](x) )^{n+1} --- ( sin[n](x) )^{n+1} --- (zn)^{n+1}
| | |
H_{n+1}: ( cos[n+1](x) )^{n+2} --- ( sin[n+1](x) )^{n+2} --- (zn)^{n+1}
F(zn) = nz = zn
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F(zn) = nz = zn
Gal(H_{n},H_{n+1}) = 2n+2
(1/2)^{n+2}+(1/2)^{n+2} = 2·(1/2)^{n+2} = (1/2)^{n+1}
F(x,y,z) és resoluble per racionals.
H_{n}: ( cos[n](x) )^{n+1} --- ( sin[n](x) )^{n+1} --- (zn)^{n+1}
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H_{n+1}: ( cos[n](x) )^{n+1} --- ( sin[n](x) )^{n+1} --- ( z·(n+1) )^{n+2}
F( cos[n](x) ) = sin[n](x) = cos[n](x)
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F( cos[n](x) ) = sin[n](x) = cos[n](x)
Gal(H_{n},H_{n+1}) = 2n+2
F( sin[n](x) ) = cos[n](x) = sin[n](x)
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F( sin[n](x) ) = cos[n](x) = sin[n](x)
Gal(H_{n},H_{n+1}) = 2n+2
2^{n+1}+2^{n+1} = 2·2^{n+1} = 2^{n+2}
F(x,y,z) és resoluble per racionals.
H_{n}: ( cos[n](x) )^{n+1} --- ( sin[n](x) )^{n+1} --- (zn)^{n+1}
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H_{n+1}: ( cos[n+1](x) )^{n+2} --- ( sin[n+1](x) )^{n+2} --- ( z·(n+1) )^{n+2}
F( cos[n](x) ) = sin[n](x) = cos[n](x)
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F( cos[n+1](x) ) = sin[n+1](x) = cos[n+1](x)
Gal(H_{n},H_{n+1}) = 2n+3
F( sin[n](x) ) = cos[n](x) = sin[n](x)
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F( sin[n+1](x) ) = cos[n+1](x) = sin[n+1](x)
Gal(H_{n},H_{n+1}) = 2n+3
F(zn) = nz = zn
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F(z·(n+1)) = (n+1)·z = z·(n+1)
Gal(H_{n},H_{n+1}) = 2n+3
F(x,y,z) és irresoluble per racionals.
Ley [ de mono-cáncer ]
Si ( Beber agua = OH_{2} y Tomar el Sol = W ) ==>
... Se provoca una desintegración de cáncer.
Deducción:
F(t) = e^{(1/m)·( HCg+( q+(-W) ) )}·f(t)
G(t) = e^{(1/m)·( W+(-q) )}·g(t)
Ley: [ de tetra-cáncer ]
Si ( Fumar = C·(OH)_{4} y Ver la televisión = W ) ==>
... Se provoca una desintegración de cáncer.
Deducción:
F(t) = e^{(1/m)·( CCg_{4}+4·( q+(-W) ) )}·f(t)
G(t) = e^{(1/m)·4·( W+(-q) )}·g(t)
