
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 the function $f(x)=\sin (\omega x+ \frac {\pi}{3})$ ($\omega > 0$), if $f( \frac {\pi}{6})=f( \frac {\pi}{3})$ and $f(x)$ has a minimum value but no maximum value in the interval $( \frac {\pi}{6}, \frac {\pi}{3})$, determine the value of $\omega$.

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