mmmmpancakes

8 ms·

31.
by mmmmpancakes 4y ago
> It means a small change in x. So here is the issue. "A small change in x" is a concept that is relevant and meaningful for Riemann integration: it represents that the integral is defined as a limit of Riemann sums as the chan
32.
by mmmmpancakes 4y ago
Indeed.
33.
by mmmmpancakes 4y ago
So what does dx mean in this setting then? If the answer is nothing, then let me suggest simplifying your expression to the following: ⌠ | f(x)⋅μ(x) ⌡ Now it occurs to me that the only problem with this new notati
34.
by mmmmpancakes 4y ago
Lucky you!
35.
by mmmmpancakes 4y ago
For those who don't know, the author was one of the best combinatorialists ever.
36.
by mmmmpancakes 4y ago
Conversely, there is a type of person who thinks everything worth knowing must require investment on behalf of the learner. It's not surprising this type of person is very common among the highly educated: school indoctrinates us with
37.
by mmmmpancakes 4y ago
You misinterpret the spirit of the quote. What it means is the following. > Having very good research is a necessary condition to succeed in academia, but it is not sufficient. The reason why this is emphasized to starting academics is t
38.
by mmmmpancakes 4y ago
> that's also why American academics is widely viewed as corrupt and unproductive, ridden with fraudulent con artists .... according to who exactly? This is total hearsay.
39.
by mmmmpancakes 4y ago
I want to re-frame what you're saying slightly. Yes, the onus is on you to learn the skills you need to show up and produce on day 1. That's 100% true and it is a lot of work. Having a math phd alone and interest is not enough. Ho
40.
by mmmmpancakes 4y ago
If you are like me and love vibrant colours and struggle to understand the postmodern(?) obsession with drab palettes, I recommend the book Chromophobia by David Batchelor [1]. It contextualizes this phenomenon within broader western art hi
41.
by mmmmpancakes 4y ago
That's a nice story, but teaching =/= research and I fail to see how this is related to research productivity. If anything the relation is inverse because, as you said, he doesn't have a publication record, so from the perspe
42.
by mmmmpancakes 4y ago
one possible explanation: if you open source all your data and code you likely reveal the secrets that aren't in your paper that give you a competitive research edge. Writing papers so that you are telling enough to get a good publicat
43.
by mmmmpancakes 5y ago
This matches my experience. Collaboration is a serious undertaking and commitment. It is very unlikely that a collaboration formed out of thin air will be productive enough to justify the investment of time and effort.
44.
by mmmmpancakes 5y ago
Another practical point concerning grandmothering is journal editors. Journal editors are often not experts in the specific subfield of the paper and almost certainly won't read much further than the first 1-2 paragraphs. Thus, the fir
45.
by mmmmpancakes 5y ago
Science Mart by Philip Mirowski does a good job of laying out, for those in research but also for those who are not, the political-economic changes that are responsible for this.
46.
by mmmmpancakes 5y ago
Moreover, ideas are worthless if you aren't smart and diligent enough to see them through. Emphasizing ideas, to me, feels like the wrong thing because this encourages, for most people, a lazy attitude where recognition is expected for
47.
by mmmmpancakes 8y ago
>I've heard and observed that the Ph.D teaches you one crucial skill - how to take a vaguely defined research problem that nobody has done before, where you're not even sure that a solution exists, and make tangible, rigorous p
48.
by mmmmpancakes 8y ago
Sure, but then "open-ended discussions" don't provide much value to academics with many more pressing things to do. On the other hand, crowd-sourcing answers to specific research question is extremely valuable to them. For a
49.
by mmmmpancakes 8y ago
One thing that might be cool is to have extended discussions of some popular MO posts.
50.
by mmmmpancakes 8y ago
I don’t know how much discussion one hopes to generate by simply posting links to recent arxiv pre-prints. Posters don’t even seem to be giving a reason for posting them. It is very non-sequiter and unengaging. Honestly i would never use th
51.
by mmmmpancakes 8y ago
I don’t know if you are right. Being hosted outside the EU doesn’t seem to exemt companies that handle EU citizens data from complying with EU privacy laws.
52.
by mmmmpancakes 8y ago
I am not advocating for a pure statistical approach. The parent of my first comment was making broad claims about the effects of boredom without justification. I dont think the assertion has any value without some good evidence. I was there
53.
by mmmmpancakes 8y ago
Gradients are vectors. You can certainly add them to other vectors. I think what you mean to say is that you can not add vectors and covectors. The differential of a function is a 1-form. Pointwise, it is a covector. This data is the natura
54.
by mmmmpancakes 8y ago
“You’re trying to analyze raising children scientifically, and I think that’s impossible.” You lost me already. You are flippantly dismissing everyone in developmental psychology and related fields with no justification.
55.
by mmmmpancakes 8y ago
“By 18, a very bored kid left to chance will have found an unhealthy outlet like drinking or property theft.” Do you have some statistics to back up this claim, along with a comparison against teens who are not bored?
56.
by mmmmpancakes 8y ago
What does “open conferences” mean? Last time I checked, fees for participating in ML related conferences are very high (compared to registration fees for conferences in academic fields with less hype). This makes them less open because cost
57.
by mmmmpancakes 8y ago
A book on applied linear algebra with a focus on regression and no mention anywhere of the singular value decomposition??
58.
by mmmmpancakes 8y ago
There is certainly a connection between Euler's formula and the matrix exponential, but I think you have confused some details about how e^x is defined. The connection is to consider C as a 2-dimensional real vector space with basis 1,
59.
by mmmmpancakes 8y ago
I can assure you, I have no problem reading straightforward assertions. I am a mathematician. The thing is: language and humans are rarely straightforward. Pretending otherwise is dangerous.
60.
by mmmmpancakes 8y ago
>"This perhaps is not so true of the founders [of Silicon Valley], but certainly for many of the rank and file people," he said. "If you're a really good engineer or really good at some specific thing, your education

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