  In this paper we will prove that for a compact, symplectic manifold $(M,
\omega)$ and for $\omega$-compatible almost-complex structure J any properly
perturbed J-holomorphic curve has a non-negative symplectic area. This
non-negative property provides us with a new obstruction to the bubbling off
phenomenon and thus allows us to redefine the Floer symplectic homology. In
particular, in subsequent papers, we will prove the Arnold conjecture in both
degenerate and non-degenerate cases with integer coefficients for general,
symplectic manifolds.
