Breakpoint
1.3K posts
"ohh I beat cublas by 2% by implementing Hilbert curves"
The trick to beating cublas is to go where they aint looking;
And pray the next toolkit hasn't caught back up (it will)
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I really wish everyone would just develop in Linux. It's really the best development environment. Supporting other operating systems is just a pain. Also, Linux is way faster for dev. I think it's mostly file system and the lack of BS security scanners.
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In case you meet a person in a dark alley late at night and he points a gun at you and says, "I want to discuss the function of x to the power of x," you need to be prepared.
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@scaling01 if they were alive today, we would have definitely achieved ASI and would be talking about Kardashev Type 3
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even if Anthropic were to build AGI they would still be infinitely far away from the aura of this picture
i don't think it will ever be surpassed
Guillermo Flor@guilleflorvs
Anthropic right now
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@RichardSSutton @ID_AA_Carmack @kjaved_ "a slightly different path" and "fundamentally new ideas" -> both are in same line
a saddle point?
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I can’t say enough good things about John Carmack @ID_AA_Carmack and his Keen Technologies. But now Khurram Javed @kjaved_ and I have broken away to start our own startup and pursue a slightly different path toward understanding intelligence. Like Keen (and like Ineffable) we at Oak Lab @oaklab_ai believe in reinforcement learning and that intelligence is created and maintained from run-time experience. But we think current deep learning methods are weak and inefficient, and need not more tweaks, but fundamentally new ideas and a thorough reworking before they can provide a solid foundation for achieving the more ambitious goals of AI.
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A month ago, I told everyone:
"I've been a backend Engineer for 12+ years. Today, I'm a Principal Engineer at Atlassian.
I've designed systems that handle millions of requests. Sat on both sides of system design interviews.
Reviewed more architecture docs than I can count.
Starting today, I'm breaking down the fundamentals of scaling for the next 25 days.
If you're learning system design bookmark this thread, you're going to get a lot of learning from this."
FYI, the series has concluded. Here are all the concepts, please bookmark, share, learn and the most important build from the learnings you get.
Also, if you have any ideas on what you'd like to see from me, please let me know, any other series or concepts to be broken down.
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@maharshii @Aval_utionary physics has its own way of expressing love 🤣
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regarding tangent line vs secant line
secant line -> it cuts through a curve, intersecting it at two or more distinct points -> line l' in the image
it represents the average rate of change between those two points over a certain distance
tangent line -> just skims or grazes the outside of the curve, touching it at exactly one precise point -> line l in the image
it represents the instantaneous rate of change at that exact split second
Breakpoint@LastBreakpoint
derivative -> basically finding a derivative is just a formal way of finding the slope of a curve at any given point to find the slope of a straight line, we need two points but what if a line is not straight? -> the slope is constantly changing to fix this, calculus uses a trick -> pick a point, zoom in incredibly close, and treat a tiny section of the curve as a straight line, pick another point and calculate slope a line connecting two points on a curve is called a secant line but this only gives us the slope between two given points in entire curve to find the exact slope of at a given point in the curve we need to make the distance between those two points as small as possible ~~ near zero hence limit tends to zero as the length between two points approaches zero the second point slides down the curve and as near as to the first point kind of sitting next to each other note that it near zero and never zero at this stage the secant line turns into a tangent line so practically at the end of this process we can say that the slope of curve at this point is "something" and mathematically it is a derivative at that point
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derivative ->
basically finding a derivative is just a formal way of finding the slope of a curve at any given point
to find the slope of a straight line, we need two points
but what if a line is not straight? -> the slope is constantly changing
to fix this, calculus uses a trick -> pick a point, zoom in incredibly close, and treat a tiny section of the curve as a straight line, pick another point and calculate slope
a line connecting two points on a curve is called a secant line
but this only gives us the slope between two given points in entire curve
to find the exact slope of at a given point in the curve we need to make the distance between those two points as small as possible ~~ near zero
hence limit tends to zero
as the length between two points approaches zero the second point slides down the curve and as near as to the first point kind of sitting next to each other
note that it near zero and never zero
at this stage the secant line turns into a tangent line
so practically at the end of this process we can say that the slope of curve at this point is "something" and mathematically it is a derivative at that point
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a few minutes back i was learning derivative of f(x) = x^2
now i am doing trigonometry
sin(x + h) = sin(x)cos(h) + cos(x)sin(h)
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when you understand the math correctly, you explain it to someone like this:
- distance is a scalar -> 1 km
- displacement is a vector -> 1 km southwest
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