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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.
1
vote
Accepted
Convective Operators: Cartesian vs Spherical Coordinates
First, please answer this simple question: How to write a constant (in all space) vector in spherical coordinates?
3
votes
Accepted
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 …
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 …