### Quick description

By assigning "dimensions" to various quantities in a consistent manner (using units such as "length", "time", or "mass"), one can provide a simple "checksum" that can be used to guard against numerical errors, particularly with regards to exponents.

Dimensional analysis can also be used as a shortcut to determine various exponents that would come out at the end of a lengthy calculation, without having to directly calculate the exponents in the intermediate steps of the computation.

### Prerequisites

Basic physics.

### Example 1

Use dimensional analysis to predict the dependence of integrals such as or on the underlying parameter or .

(Give solution here...)

### General discussion

Dimensional analysis can be interpreted in terms of an underlying *scale invariance* of the problem at hand.

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