lagranià para-eléctric

d_{tt}^{2}[x]= ( x^{n}/t^{n} )


d_{tt}[x(t)] = a^{(1/2)+(-1)(n/4)}·...
... ( a^{(-1)(1+(-n))/4)} )^{n/(1+(-n))}·a^{(-1)(1+(-n))/2)} = 1


( x(t) )^{n} = a^{(n/2)+(-1)(n^{2}/4)}·...
... ( a^{(-1)(1+(-n))(2+(-n))/4} )^{n/(1+(-n))} = 1


( x(t) ) = a^{(1/2)+(-1)(n/4)}·...
... ( a^{(-1)(1+(-n))/4} )^{(2+(-n))/(1+(-n))}·t^{(2+(-n))/(1+(-n))}


d_{tt}[x(t)] = a^{(1/4)+(-1)(n/4)}·...
... ( a^{(-1)(1+(-n))/4) )^{n/(1+(-n))}·a^{(-1)(1+(-n))/2)} = a^{(-1)(1/4)}


( x(t) )^{n} = a^{(n/4)+(-1)(n^{2}/4)}·...
... ( a^{(-1)(1+(-n))(2+(-n))/4} )^{n/(1+(-n))} = a^{(-1)(n/4)}


( x(t) ) = a^{(-1)(1/4)+(-1)(n/4)}·...
... ( a^{(-1)(1+(-n))/4} )^{(2+(-n))/(1+(-n))}·t^{(2+(-n))/(1+(-n))}


d_{tt}^{2}[x]= ( a^{(n+(-1))(1/4))}·x^{n}/t^{n} )
m·d_{tt}^{2}[x]= (k_{e}·pq)·x^{n}/(ct)^{n} )


a^{(n+(-1))(1/4))} = ( (k_{e}·pq)/(mc^{n}) )


a = ( (k_{e}·pq)/(mc^{n}) )^{( 1/(n+(-1))(1/4)) )}