right before one's eyes / after a bit of time / right before one's eyes / a prospect for the quite near future / an idea which one is thinking right there, right at the time

imperfection, deficiency

partial, incomplete, imperfect

Argentina (a country in South America)

(idiomatic) An unheard of, unprecedented issue.

amazed, astounded, astonished

(mathematics) natural logarithm

clear / obvious

abiogenesis, the theory of spontaneous generation

asymptote