Christine became hopeful that after her first interview with Gordon Stewart Northcott , her son Walter could still be alive .
Christine became hopeful that her son Walter might still be alive after her first interview with Gordon Stewart Northcott .

Are these two sentences paraphrases of each other?
yes

However , the generic Lorentz-invariant form of the matrix element for electromagnetic current interaction is known ,
However , the generic Lorentz-electromagnetic current form of the matrix element for the invariant interaction is known ,

Are these two sentences paraphrases of each other?
no

Archana is an accomplished film actress and South Indian Kuchipudi and Kathak dancer , known for her works in the Indian film industry .
Archana is an Indian film actress and completed Kuchipudi and Kathak Dancer , known for her works in the South Indian film industry .

Are these two sentences paraphrases of each other?
no

Henderson married Vera Cameron Price Fitz Randolph on 23 August 1923 , with whom he had a son , Richard Henderson .
Henderson married Vera Cameron Price Fitz Randolph on August 23 , 1923 , with whom he had one son , Richard Henderson .

Are these two sentences paraphrases of each other?
yes