
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
Determine the serial numbers of all true propositions in the following:
\\(①\\) "\\(a > b\\)" is a sufficient condition for "\\(a^{2} > b^{2}\\)";
\\(②\\) "\\(|a| > |b|\\)" is a necessary condition for "\\(a^{2} > b^{2}\\)";
\\(③\\) "\\(a > b\\)" is a necessary and sufficient condition for "\\(a+c > b+c\\)".

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