Keep making these. My notes are way more intense while listening to your videos compared to any other educational videos. These videos are dense, not many words are wasted.
I'm so happy I discovered this channel and your website today. This is top quality content, covering concepts and tools that can drastically improve how we think about the world. Truly appreciated.
In general nonlinear does not mean, that they have to have be "not a straight line on the graph of proportionality" (at 6:00 minutes into the film). A parabola describing correlation is still linear. A better description of the nonlinear phenomena is "lack of ability to extrapolate" from the previous (or nearby) part of the relationship. I am guessing that this concept might be equivalent to a concept of a function. If a function is discontinuous at some point, for example it jumps suddenly or if it splits in two, or if it is simply not defined, the function can be termed as nonlinear. Similar thing can be said about correlation.
A parabola is non-linear (meets the any curve, but the line). Proportionality among phenomena described by a parabola relates the domain and another domain co-relation being continuous yet not 1-1. You need both for linearity proportionality: one thing relates to one of the other things (1-1), and all things to relate to the all other things (continuity). Curving other than linear means that one thing relates to more than one of the other things (1-many). Consider Q-Q (Within Domain) and Scatter Plots (Domain to Domain), where such proportionalities are desired.
Good catch! Looks like they're defining x as the previous term, which is a very odd way of doing it. What they really mean is "n+1 = 2n". This is the same as saying f(n) = 2^n.
Give it a few years, if you are still a teenager. And then comeback. These lectures are excellent given what is available on the RUclips. But I think the author does not understand the topic at the level he wants you to think he does. If he did, you would understand it. Even if you were 10 year old.
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Keep making these. My notes are way more intense while listening to your videos compared to any other educational videos. These videos are dense, not many words are wasted.
I'm so happy I discovered this channel and your website today. This is top quality content, covering concepts and tools that can drastically improve how we think about the world. Truly appreciated.
I don't know if it's the voice but.... although I understood all that's been said, I now need to take a nap and it's only 9am in the morning.
Thank you so much for making this series!! Liked subscribed and turned on the notification bell!!
Great description of pattern concepts!
Excellent series
In general nonlinear does not mean, that they have to have be "not a straight line on the graph of proportionality" (at 6:00 minutes into the film). A parabola describing correlation is still linear. A better description of the nonlinear phenomena is "lack of ability to extrapolate" from the previous (or nearby) part of the relationship. I am guessing that this concept might be equivalent to a concept of a function.
If a function is discontinuous at some point, for example it jumps suddenly or if it splits in two, or if it is simply not defined, the function can be termed as nonlinear. Similar thing can be said about correlation.
A parabola is non-linear (meets the any curve, but the line). Proportionality among phenomena described by a parabola relates the domain and another domain co-relation being continuous yet not 1-1. You need both for linearity proportionality: one thing relates to one of the other things (1-1), and all things to relate to the all other things (continuity). Curving other than linear means that one thing relates to more than one of the other things (1-many). Consider Q-Q (Within Domain) and Scatter Plots (Domain to Domain), where such proportionalities are desired.
f(x) = 2x should be f(x) = 2^x I think
Being doubled is not the same as being raised to the power of x.
Madison is right.
x=1: 2^1= 2
x=2: 2^2 = 4
x=3: 2^3 = 8
x=4: 2^4 = 16
And so on
Good catch! Looks like they're defining x as the previous term, which is a very odd way of doing it. What they really mean is "n+1 = 2n".
This is the same as saying f(n) = 2^n.
Steve Wells you are stupid shit
Crookshanks Is Awesome why are watching such videos, you are stupid as shit!
I prefer the voice of the man in the first video .. the rest is excellent
What is the difference between emergence and algorithm?
f(X) = 2^X, not 2X
i didn't understand a single thing can you make more simple
It think this is about as simple as it gets really
emergence is a pretty dense topic because of how abstract and generalized it is. sadly I'm not sure how they could have approached this any simpler
Give it a few years, if you are still a teenager. And then comeback. These lectures are excellent given what is available on the RUclips. But I think the author does not understand the topic at the level he wants you to think he does.
If he did, you would understand it. Even if you were 10 year old.