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What is the meaning of "the same order" in advanced mathematics?
The complete statement of the same order is: "In a certain limit process, two variables are in the same order".

Using A(t) and B(t) to represent these two variables, then in a certain limit process (for example, t tends to 0), the order of A and B is the same, which means that the absolute value of A/B and B/A is bounded. This is the generalized same order.

The narrow sense of the same order is also the most commonly used concept of "same order" in higher mathematics, which means that in a certain limit process, A/B tends to a non-zero constant.