Teorema:
sin[n](x) = sum[k_{i} = q & k_{j} = 1]-[oo][ ...
... (-1)^{k_{i}}·( 1/(2k_{1}...k_{n}+1)! )·x^{2k_{1}...k_{n}+1} ]+...
sum[k_{i} = q & k_{j} = p > 1]-[oo][ ...
... (-1)^{k_{i}}·( 3p^{n+(-1)}+(-1)·(2k_{i}+1)·p^{n+(-1)} )·...
... ( 1/(2k_{1}...k_{n}+p^{n+(-1)})! )·x^{2k_{1}...k_{n}+p^{n+(-1)}} ]
cos[n](x) = sum[k_{i} = q & k_{j} = 1]-[oo][ ...
... (-1)^{k_{i}}·( 1/(2k_{1}...k_{n})! )·x^{2k_{1}...k_{n}} ]+...
sum[k_{i} = q & k_{j} = p > 1]-[oo][ ...
... (-1)^{k_{i}}·( 2p^{n+(-1)}+(-1)·(2k_{i})·p^{n+(-1)} )·...
... ( 1/(2k_{1}...k_{n})! )·x^{2k_{1}...k_{n}} ]
Teorema:
(-1)·sin[n](x) = sum[j_{i} = q+(-1) & j_{j} = 1]-[oo][ ...
... (-1)^{j_{i}+1}·( 1/(2j_{1}...j_{n}+1)! )·x^{2j_{1}...j_{n}+1} ]+...
sum[j_{i} = q+(-1) & j_{j} = p > 1]-[oo][ ...
... (-1)^{j_{i}+1}·( 3p^{n+(-1)}+(-1)·(2j_{i}+1)·p^{n+(-1)} )·......
... ( 1/(2j_{1}...j_{n}+p^{n+(-1)})! )·x^{2j_{1}...j_{n}+p^{n+(-1)}} ]
(-1)·cos[n](x) = sum[j_{i} = q+(-1) & j_{j} = 1]-[oo][ ...
... (-1)^{j_{i}+1}·( 1/(2j_{1}...j_{n})! )·x^{2j_{1}...j_{n}} ]+...
sum[j_{i} = q+(-1) & j_{j} = p > 1]-[oo][ ...
... (-1)^{j_{i}+1}·( 2p^{n+(-1)}+(-1)·(2j_{i})·p^{n+(-1)} )·...
... ( 1/(2j_{1}...j_{n})! )·x^{2j_{1}...j_{n}} ]
Teorema:
Sea sn[0](x) = 0 ==>
sin[n](x) = n·sin(x)+sn[n+(-1)](x)
Sea cs[0](x) = 0 ==>
cos[n](x) = n·cos(x)+cs[n+(-1)](x)
Teorema:
d_{x}[ sn[n+(-1)](x) ] = cs[n+(-1)](x)
d_{x}[ cs[n+(-1)](x) ] = (-1)·sn[n+(-1)](x)
Teorema:
lim[x = 0][ ( (cos[n](x)+(-n))/x^{2} ) ] = (1/x)^{2}·( ...
sum[j_{i} = q+(-1) & j_{j} = 1]-[oo][ ...
... (-1)^{j_{i}+1}·( 1/(2j_{1}...j_{n}+2)! )·x^{2j_{1}...j_{n}+2} ]+...
sum[j_{i} = q+(-1) & j_{j} = p > 1]-[oo][ ...
... (-1)^{j_{i}+1}·( 1/(2j_{1}...j_{n}+2p^{n+(-1)})! )·x^{2j_{1}...j_{n}+2p^{n+(-1)}} ] ) = (-n)·(1/2)
Ley:
Sea d_{V}[P_{0}]·V^{2}+d_{P}[V_{0}]·P^{2} = kT ==>
Si d_{V}[ T(V,P) ]·v = qR ==> v = qR·( k/(2V) )·( 1/d_{V}[P_{0}] )
Si d_{P}[ T(V,P) ]·p = qR ==> p = qR·( k/(2P) )·( 1/d_{P}[V_{0}] )
Ley:
Sea d_{V}[P_{0}]·V^{2}+d_{P}[V_{0}]·P^{2} = kT ==>
Si d_{VV}^{2}[ T(V,P) ]·v^{2} = qR ==> v = ( qR·(k/2)·(1/d_{V}[P_{0}]) )^{(1/2)}
Si d_{PP}^{2}[ T(V,P) ]·p^{2} = qR ==> p = ( qR·(k/2)·(1/d_{P}[V_{0}]) )^{(1/2)}
Ley:
Sea d_{V}[P_{0}]·V^{2}+d_{P}[V_{0}]·P^{2} = kT ==>
Si d_{VV}^{2}[ T(V,P) ]·v^{2}+d_{V}[ T(V,P) ]·v = (1/2)·qR ==> ...
... v = (1/2)·( k/d_{V}[P_{0}] )·...
... ( (-1)·(V/k)·d_{V}[P_{0}]+( (V/k)^{2}·d_{V}[P_{0}]^{2}+(1/k)·d_{V}[P_{0}]·qR )^{(1/2)} )
Si d_{PP}^{2}[ T(V,P) ]·p^{2}+d_{P}[ T(V,P) ]·p = (1/2)·qR ==> ...
... p = (1/2)·( k/d_{P}[V_{0}] )·...
... ( (-1)·(P/k)·d_{P}[V_{0}]+( (P/k)^{2}·d_{P}[V_{0}]^{2}+(1/k)·d_{P}[V_{0}]·qR )^{(1/2)} )
Examen de termodinámica:
Ley:
Sea d_{VV}^{2}[P_{0}]·V^{3}+d_{PP}^{2}[V_{0}]·P^{3} = kT ==>
Si d_{V}[ T(V,P) ]·v = qR ==> v = ?
Si d_{P}[ T(V,P) ]·p = qR ==> p = ?
Ley:
Sea d_{VV}^{2}[P_{0}]·V^{3}+d_{PP}^{2}[V_{0}]·P^{3} = kT ==>
Si d_{VV}^{2}[ T(V,P) ]·v^{2} = qR ==> v = ?
Si d_{PP}^{2}[ T(V,P) ]·p^{2} = qR ==> p = ?
Ley:
Sea d_{VV}^{2}[P_{0}]·V^{3}+d_{PP}^{2}[V_{0}]·P^{3} = kT ==>
Si d_{VV}^{2}[ T(V,P) ]·v^{2}+d_{V}[ T(V,P) ]·v = (3/8)·qR ==> v = ?
Si d_{PP}^{2}[ T(V,P) ]·p^{2}+d_{P}[ T(V,P) ]·p = (3/8)·qR ==> p = ?
Ley: [ de la Luz del Técnics ]
Sea m·d_{t}[x]^{2} = Fr ==>
Si d_{t}[y] = d_{t}[x]+d_{t}[w]·r ==> ...
... ( d_{t}[y] = 0 <==> d_{t}[w] = (-1)·( (F/m)·(1/r) )^{(1/2)} )
Ley: [ de aguja de Técnics con pitch negativo ]
Sea m·d_{t}[x]^{2} = Fr & d_{t}[h(t)] = a·h(t) ==>
Si d_{t}[y] = d_{t}[x]+d_{t}[w]·h(t) ==> ...
... ( d_{tt}^{2}[y] = 0 <==> d_{t}[w] = ue^{(-a)·t} )
... d_{t}[y] = ( (F/m)·r )^{(1/2)}+uh
... ( d_{t}[y] = 0 <==> u = (-1)·(1/h)·( (F/m)·r )^{(1/2)} )
Ley: [ de aguja de Técnics con pitch positivo ]
Sea m·d_{t}[x]^{2} = Fr & d_{t}[h(t)] = (-a)·h(t) ==>
Si d_{t}[y] = d_{t}[x]+d_{t}[w]·h(t) ==> ...
... ( d_{tt}^{2}[y] = 0 <==> d_{t}[w] = ue^{at} )
... d_{t}[y] = ( (F/m)·r )^{(1/2)}+uh
... ( d_{t}[y] = 0 <==> u = (-1)·(1/h)·( (F/m)·r )^{(1/2)} )
Ley: [ de aguja de Técnics orto-fone ]
Sea m·d_{t}[x]^{2} = Fr & d_{t}[h(t)]^{2} = ar·h(t) ==>
Si d_{t}[y] = d_{t}[x]+d_{t}[w]·h^{(1/2)}·( h(t) )^{(1/2)} ==> ...
... ( d_{tt}^{2}[y] = 0 <==> w(t) = (-1)·ln(ut)
... d_{t}[y] = ( (F/m)·r )^{(1/2)}+(-1)·(1/2)·(arh)^{(1/2)}
... ( d_{t}[y] = 0 <==> a = (F/m)·(1/h) )
No entiendo porque enfadar-se tanto Francisco,
de querer matar-me para siempre,
por hacer-le un txotxo bonito con el dual del Jalisco.
Y no quiere matar al que le está diciendo que un Jalisco es una pitxa,
en vez de un txotxo para tener un txotxo bueno.
El o la que dice que un Jalisco es una pitxa ni se ha visto,
que ha mutado su sexo a algo muy feo seguro.
Ley:
La mujeres que se creen que un Jalisco es una pitxa,
mutan a un clítoris pitxa que todos hemos visto.
Los hombres que se creen que un Jalisca es un txotxo,
mutan a unos cojones enormes que todos hemos visto como txotxo.
Ley:
No salir de casa,
robando la libertad.
No dutxar-se,
robando la intimidad.
Anexo:
Esta enfermedad la tengo yo.
Ley:
No usar tecnología escrita,
robando la libertad en imagen.
No usar tecnología auditiva,
robando la libertar en sonido.
Anexo:
Esta enfermedad la tiene mi amigo Dj.Voltio,
y tiene que tener pensión.
