2015年10月7日 · $\begingroup$ @KristofferCatabui, I had sort of assumed that you had mis-used the notation for partial derivatives (the question was un-clear, and people frequently mis-use …

2015年5月2日 · The symbols d/dx and dy/dx represent derivatives in calculus, indicating rates of change with respect to a variable.

Historically, calculus was framed in terms of infinitesimally small numbers. The Leibniz notation dy/dx was originally intended to mean, literally, the division of two infinitesimals. The Leibniz …

In more general settings, the three interpretations generalize in different ways, so that the "dx" comes to mean different things. In the setting of measure theory, "dx" is interpreted as a …

I know dy/dx for example means "derivative of y with respect to x," but there's another context that confuses me. You will generally just see a dx term sitting at the end of an integral equation …

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This webpage discusses the process of finding the integral of x^x.

$dx_1$ is a differential 1-form (aka a covector field) which associates to each point in space a linear map from $\mathbb{R}^n \to \mathbb{R}$.

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2020年12月4日 · This type of integral is called an 'improper integral'. I have always assumed that the term 'improper' refers to the fact that an improper integral is not really an integral, but …