Reading this gives me some slight existential dread, since most of my time here I just read other people’s comments.
In any case, I think a big barrier to starting things can often also just be the fear of failure or of wasting time. I spent a lot of time making electronic music as a hobby, and am probably better than most people at understanding and playing music, but for music to play a meaningful impact in my life I would need to put in a lot more work still.
On the other hand, I studied physics and mathematics far beyond the average person (getting a PhD and publishing multiple papers), but I had the support of the university and the academic environment to give me that extra push to do it.
There are so many things I would like to pursue in my free time. Building a small startup, writing a book, making YouTube videos, etc. I know that the most important thing is to just start, but the decision paralysis, and uncertainty about whether it will work out in the end can definitely be a barrier, since I can also just go out with friends and enjoy my life instead of spending time solitary.
As a user, I've been putting in some long mathematical research papers and asking detailed questions about them in order to understand certain parts better. I feel some benefit from it because it can access the full context of the paper so it is less likely to misunderstand notation that was defined earlier etc.
Comparing to the numbers here https://www.anthropic.com/news/claude-3-family the ones of Llama 400B seem slightly lower, but of course it's just a checkpoint that they benchmarked and they are still training further.
I don't mean this in a bad way, but when I read a comment like yours which includes phrases like "seamlessly enhances my workflow" and "efficiently aids in task completion", I can't help but feel like it's ChatGPT-generated, and if so I think it's a shame, just write like yourself.
But maybe you do, and I am seeing patterns in sand.
People refer to it as Synthstrom Deluge all the time. The product is called Deluge and the company is Synthstrom. It would be strange if they called their product the Synthstrom Synthstrom Deluge wouldn’t it?
I don't see why this changes anything. There are some, sort-of intelligent networks of cells in the gut that help in digestion and other processes. Doesn't change the fact that consciousness resides in the brain.
One pill a day perhaps not, but you can definitely sustain yourself on meal replacement products like the ones from Soylent or Huel. I get about 1/3rd my calories from those and it saves a lot of time.
I read that book as well when I was 20, and while it was helpful I was also surprised watching a YouTube talk by her many years later, and not finding her particularly charismatic!
Half your examples are wrong, but maybe it is your point. Although it wasn't clear to me the first time I read your comment.
- The cardinality of the odd and even integers is the same.
- It is true there are more points on a plane then on a line (Cantor's theorem.)
- The circle is the compactified real line, i.e. it can be represented as the real numbers with one additional point (the point at infinity). In terms of cardinality they are the same since they just differ by one point which does not change the cardinality.
- There are not more points on a plane than a half-plane, you can find a bijective mapping between them easily.
- There are more rationals than integers: not true, they are both countable sets of the same cardinality.
- There are more reals than rationals, this is true (again Cantor.)
The author says, "I can’t even say whether I’m voluntarily or involuntarily single," and I think this is telling. When you're dealing with anxiety and overthinking, it's easy to lose touch with your feelings and become unsure of why you do things the way you do. I know that's how it's been for me to some extent.
You've got to push past it, though, and take the plunge to ask people out even if they might reject you or even if it might break some social norms. I just got out of a long-term relationship and am also approaching my thirties. When I met her, she was my housemate during university years. My other housemates and friends said it would be inappropriate to make a move, but I went for it anyway, and it gave me 9 years of happiness.
No. In Mathematica important operations like mapping functions over sets (arrays/tensors) at various depths have simple operators such as (/@, @, @@, @@@). You can do functional composition using @*, etc. You don't need to define your variables and functions before being able to write them in expressions. Often you want to have intermediate terms that have some temporary name, and which get substituted later on. The replacement rules in Mathematica are very powerful for this.
As another example, I googled some project Euler solutions in Mathematica and (pure Python) and found this: https://www.nayuki.io/page/project-euler-solutions. Compared to the pure Python solutions, the Mathematica code is typically much smaller. Of course this is not Sympy, but a lot of the Python syntax carries over to SymPy as well.
As someone who does research with computer algebra systems (mainly Wolfram Mathematica) many hours a day, I think that SymPy is still far behind Mathematica. The fundamental design of Mathematica based on replacement rules and a style of functional programming is quite difficult to beat in terms of ease of use. A few weeks ago I gave SymPy another try, and tried to implement a nested sum of the type 1 <= a_1 < ... < a_k <= n over a complicated summand f(a_1, ... ,a_k), where k and n are integer arguments, and it took me ages to figure out how to implement this in SymPy, whereas I in Mathematica I can write this in a minute.
From my personal experience I have seen this disparity in the extreme, since I studied physics where the gender ratio was very unbalanced. I knew many guys who had some trouble socializing, but were very nice people, and they did not get any attention from women.
In any case, I think a big barrier to starting things can often also just be the fear of failure or of wasting time. I spent a lot of time making electronic music as a hobby, and am probably better than most people at understanding and playing music, but for music to play a meaningful impact in my life I would need to put in a lot more work still.
On the other hand, I studied physics and mathematics far beyond the average person (getting a PhD and publishing multiple papers), but I had the support of the university and the academic environment to give me that extra push to do it.
There are so many things I would like to pursue in my free time. Building a small startup, writing a book, making YouTube videos, etc. I know that the most important thing is to just start, but the decision paralysis, and uncertainty about whether it will work out in the end can definitely be a barrier, since I can also just go out with friends and enjoy my life instead of spending time solitary.