
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given a cubic function $f(x)=ax^{3}+bx^{2}+cx+d(a\neq 0)$, it is defined that if the equation $f''(x)=0$ has a real number solution $x_{0}$, then the point $(x_{0},f(x_{0}))$ is called the "inflection point" of the function $y=f(x)$. A student discovered that every cubic function has an "inflection point," a symmetry center, and the "inflection point" is the symmetry center. If $f(x)= \frac {1}{3}x^{3}- \frac {1}{2}x^{2}+3x- \frac {5}{12}$,

(1) Find the symmetry center of the function $f(x)= \frac {1}{3}x^{3}- \frac {1}{2}x^{2}+3x- \frac {5}{12}$;

(2) Calculate $f( \frac {1}{2013})+f( \frac {2}{2013})+f( \frac {3}{2013})+f( \frac {4}{2013})+…+f( \frac {2012}{2013})$.

Present the answer in LaTex format: \boxed{Your answer}
user