
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
Let \\(f(x)=x\ln x\\), \\(g(x)=x^{2}-1\\).  
\\((1)\\) Let \\(h(x)=f(x)-g(x)\\), find the monotonic intervals of \\(h(x)\\);  
\\((2)\\) If for \\(x \geqslant 1\\), \\(f(x)-mg(x) \leqslant 0\\) always holds, find the range of the real number \\(m\\).

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