I wrote a really short intro2R document for those who think Verzani is too wordy…

(Verzani is awesome.)

Introduction to R (updated 9/19/2016)

I wrote a really short intro2R document for those who think Verzani is too wordy…

(Verzani is awesome.)

Introduction to R (updated 9/19/2016)

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For those who have taken real analysis long time ago, you might have been annoyed by the same thing that has been annoying me recently during math bootcamp: How can I formally define limits and continuities? Here is my thoughts on the formal definition of limit, continuity, and uniform continuity.

Limit is defined

Continuity is defined

And uniform continuity is defined

In my opinion, the key difference between limit and continuity is how **strict** the definition is for each concept. In the continuity definition, we do not stipulate that as we do in the limit definition. The difference between continuity and uniform continuity is also a matter of strictness of the definition. And this difference is registered by the order of the quantifiers in our case. Uniform continuity gives us a continuous function for all in the domain, and is thus much more strict than the pointwise continuity.

If you encounter an error message similar to

gensim ImportError: cannot import name utils

then a likely reason is that there are conflicting copies of NumPy, SciPy, or utils. This is a common case for users of Canopy. A quick fix is as follows

```
pip uninstall numpy
pip uninstall scipy
pip uninstall utils
```

We then re-install gensim

pip install --upgrade gensim

Re-launch your analysis environment and you should have no problems with importing gensim. Hopefully it helps!