
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 following four propositions:
\\(①\\) The function \\(y=|x|\\) and the function \\(y=( \\sqrt {x})^{2}\\) represent the same function;
\\(②\\) The graph of an odd function must pass through the origin of the rectangular coordinate system;
\\(③\\) The graph of the function \\(y=3(x-1)^{2}\\) can be obtained by shifting the graph of \\(y=3x^{2}\\) to the right by \\(1\\) unit;
\\(④\\) \\(\log \_{a}m^{n}=n\\log \_{a}m(a > 0\\) and \\(a\\neq 1\\), \\(m > 0\\), \\(n∈R)\\)

The sequence number of the correct propositions is \_\_\_\_\_\_.

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