What Are First and Second Order Changes?

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SUMMARY

The discussion clarifies the concepts of first and second order changes in the context of experimental work. First order changes indicate a direct proportionality between the change in one variable and the change in another, while second order changes signify that the change in the second variable is proportional to the square of the change in the first. This distinction is crucial for understanding the magnitude of changes, as second order changes are significantly smaller than first order changes. The terminology is essential for accurately interpreting experimental results and their implications.

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Many a times, in papers written on experimental work, there are statements like "there are no first order changes in time, but only those of the second order". What do such statements mean?
 
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In general terms, the order refers to the relationship between change in one variable to change in another. First order means the change in the second variable is proportional to change in the first. Second order means change in the second variable is proportional to the square of the change in the first. Since these terms are used in discussing small changes, a second order change is much smaller than a first order change.
 

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