
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 propositions:  
\\(①\\) The equation of the directrix of the parabola \\(y=4x^{2}\\) is \\(y=- \dfrac {1}{16}\\);  
\\(②\\) The negation of the statement "If \\(x^{2}+y^{2}=0\\), then \\(x=y=0\\)" is "If \\(x^{2}+y^{2} \neq 0\\), then both \\(x\\) and \\(y\\) are not \\(0\\)";  
\\(③\\) Given the linear regression equation \\( \overset{\land }{y}=3+2x\\), when the variable \\(x\\) increases by \\(2\\) units, its predicted value increases by \\(4\\) units on average;  
\\(④\\) The proposition \\(ρ\\): "For all \\(x∈(0,+∞)\\), \\(\sin x+ \dfrac {1}{\sin x} \geqslant 2\\)" is true.  
Then, the correct proposition numbers are \_\_\_\_\_\_.

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