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Calculus is the branch of mathematics which deals with the study of rate of change of quantities. This is usually divided into differential calculus and integral calculus which are concerned with derivatives and integrals respectively. DO NOT USE THIS TAG just because your question makes use of calculus.

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Convective Operators: Cartesian vs Spherical Coordinates

First, please answer this simple question: How to write a constant (in all space) vector in spherical coordinates?
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Expansion of a function

But it's a Taylor expansion: $$ L(x_0+x)=L(x_0)+\frac{\partial L}{\partial x}(x_0)\cdot x $$ Now set $x_0=v'^2$, $x=2 \vec v \cdot \vec \epsilon + \epsilon^2$. Then neglecting powers of second order …
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1 vote

Error propagation estimations for sine and cosine

Yes, it has to do with the rate of change of these function near zero. For small $\alpha$ you are able to approximate most functions (including $\cos$ and $\sin$) in a power series of $\alpha^n$, call …
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