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- Continuous vs Discrete Variables - Mathematics Stack Exchange
Both discrete and continuous variables generally do have changing values—and a discrete variable can vary continuously with time I am quite aware that discrete variables are those values that you can count while continuous variables are those that you can measure such as weight or height
- Showing that $\arctan$ is continuous - Mathematics Stack Exchange
As such, $\arctan$ is continuous If you define $\arctan$ by integrals or power series the result is immediate (the first by the Lipshitz continuity of the indefinite integral and the second from the uniform convergence of power series in compact sets)
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