I haven’t read tfa, so apologies if I’m missing context. But convolution is one example of an integral that outputs a function. Convolution is fundamental for control theory.
No, she is lying on her back and you have the sideview of her breasts. The cartographer didn't want to draw an elaborate woman, he just wanted to draw (side) boobs.
There's an intermediate option: sell high P/E stocks and buy lower P/E stocks with dividend paying history. There are ETFs designed for this purpose too.
I am indeed short TSLA (or rather, am taking an inverse position), and have greatly reduced my exposure to NVDA, AMZN, META, MSFT, and AAPL. I keep some exposure to GOOGL, NFLX, AMD, because I believe they are going to "win" in their industry in the long run. I plan to keep exposure to them for like 10+ years.
You and me both, but working poors like us should be investing for long-term gains, not short-term returns. I put my money into bonds and international indices because I want to be better protected when the AI CAPEX bubble pops here, but I have no idea when that’ll happen.
We can’t time the market, but we can protect the scraps we’ve accumulated at least.
Having taught the new engineers, and having worked with those 1990s mechanical engineers, I strongly disagree. It’s a recurring belief that the new generation is regressing. When typewriters became common, teachers worried about handwriting. When calculators became common, math teachers worried about mental math skills. If anyone alive was old enough to protest, “the greatest generation” probably would have a different name.
Edit: initially i said “ People bemoaned the loss of chalk-on-blackboard skills when paper and pencil got cheap”, but apparently that’s not true, it was first claimed in a piece of satire, and then became mistaken for the truth.
Yeah, people still go to college as high school students who don’t know much and come out as almost-engineers, so degrees definitely still have value. And I don’t see a lot of difference in skill between the generations after accounting for experience.
2. It supposedly plots a “rate”, but the time interval is unspecified. Per second? Per month? Per year? Intuitively my best guess is that the rate is per-year. However that would imply the second plot believes we are very near to 100% adoption, which I think we know is false. So what is this? Some esoteric time interval like bi-yearly?
3. More likely, it is not a rate at all, but instead a plot of total adoption. In this case, the title is chosen _very_ poorly. The author of the plot probably doesn’t know what they’re looking at.
4. Without grid lines, it’s very hard to read the data in the middle of the plot.
There is no need for a 'rate' to be against a time interval. The conversion rate of an email is purchases / emails sent. The fatality rate of a disease is casualties / people infected. It really just means a ratio.
This is also a pet peeve of mine. However, I suspect this bothers us because we’ve grown up with standard “western” English (US/UK/Canada/Australia/etc). “How does X Y like” is common in other forms of English, some of which might even be native (but non-western)! For example, I bet this construction is standard in Indian English. Based on population alone, I think this is a losing battle; English is probably going to adopt the structure we dislike. That’s unfortunate for me and you. But I think fighting it is a fool’s errand.
Because the conventions that are considered “standard” evolve over time to match the most common usage. Non-western English is probably already the most common English, due to India alone. Those speaking patterns have been relatively isolated so far, but online media brings it into the mainstream. My main claim is that it will take over the present “standard” usage, because of the sheer quantity (but not in an alarmist xenophobic way, lol).
Some examples that have become normalized for me personally, I think due to working with lots of international folks in tech:
- “i have a doubt” instead of “i have a question”
- “i will not claim X” instead of “i would not claim X” or “i don’t claim X”
- “this is not as X as compared with Y” instead of “this is not as X as Y” or “this is not X compared with Y”
- "it will anyways be fun" instead of "anyways, it will be fun"
I’m not sure if these are broad patterns, or just peculiarities of the specific crowd i hang with. And I don’t think these are standard usages yet, but I’ve become familiar enough that I say these sometimes, despite intuitively feeling that they are wrong.
Edit: i think most of the phrases i have adopted are from Indian English, but unsure.
If it’s the quantity, wouldn’t people just drop English all to gather? (I’m not a proscriptivist for the record, but I do like some non-English languages more than others. Hopefully that’s not too verboten to confess here lol.)
I don’t think it’s verboten! I prefer Turkish over French.
English will certainly continue to evolve, and eventually it may be dropped altogether. But for example, you couldn’t understand English as it was spoken in the 1400s. It is different enough that we have a separate name for it, “Middle English”. Many of the changes languages undergo are influenced by interacting with other languages. There’s no reason to believe English will stop now.
As to why English will probably keep evolving instead of being totally dropped — it is now the lingua franca for most of the world. It would be unlikely to “just drop” the most useful language 90% of people know.
I disagree with the implication that "majority rules" is such an immutable truth that the minority shouldn't even bother fighting or expressing their opinion.
Languages evolve. It is foolish to think that you will stop the evolution. And also purposeless — there is nothing better or worse about my great grandfather’s English, my English, or my kid’s English.
I get it - I am not a hardcore prescriptivist. Language is defined by usage.
But you're going too far in the other direction. Like... language nihilism. It's OK to care. Language is deeply, unavoidably personal. Look at how people describe the feeling they get when they read "how __ like": "Itch". It's not only an academic opinion - it's also a piece of who we are.
https://en.wikipedia.org/wiki/Convolution?wprov=sfti1
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