Hi and welcome to the Matladpi blog!

Singularity. What a fascinating subject. You know, the point r = 0 for

r^(-2), is a singularity. Another one could be the point m = 0 for ln(m), or a = pi/2 for tan(a). In addition to mathematical ones, there are also singularities in physics. What if you could add a small term e > 0 in the operation r^(-2), so that (r + e)^(-2) would be e^(-2), rather than the singularity 0^(-2)?

This could be of some use if we for example used Newton's law of universal gravitation, when r = 0. This would not be so bothersome anymore, as there still would be the term e.

Back to the math. The laws of mathematics may seem fragile, when a singularity emerges. And then there is the other side of indeterminate values. For example, 1/n as the function of n, has different diverging limits when n -> 0+ and when n -> 0- . 1/0 is, thus, indeterminate.

I am Jesse Sakari Hyttinen and I will see you in the next post!

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