
Geometer Explains One Concept in 5 Levels of Difficulty
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Date: 2022-07-07
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Comments and reviews: 10
David
One interesting point about measuring a coastline in 1-inch segments: unlike when using very large segments, is that all sorts of interesting and even annoying cases will pop up, where you will be forced to refine and make more complex the definition of -coastline-. By the time you get down to a stable and sensible definition that works in 1-inch segments, the general definition will be very complex, so it can handle many special cases. It may even be impossible to create a general definition that works. In real life, measurement is not necessarily possible. This is especially evident in the very tiny regime where quantum mechanics and virtual particles make meaningful classical measurement impossible.
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One interesting point about measuring a coastline in 1-inch segments: unlike when using very large segments, is that all sorts of interesting and even annoying cases will pop up, where you will be forced to refine and make more complex the definition of -coastline-. By the time you get down to a stable and sensible definition that works in 1-inch segments, the general definition will be very complex, so it can handle many special cases. It may even be impossible to create a general definition that works. In real life, measurement is not necessarily possible. This is especially evident in the very tiny regime where quantum mechanics and virtual particles make meaningful classical measurement impossible.
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Robert
An infinitely smaller version of itself within it self, it goes hand and hand with the universe. Everything is a bigger version of itself and we as humans are on the microscale on our planet which is a microscale to the universe and our universe is on the microscale to the multiverses
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An infinitely smaller version of itself within it self, it goes hand and hand with the universe. Everything is a bigger version of itself and we as humans are on the microscale on our planet which is a microscale to the universe and our universe is on the microscale to the multiverses
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Rasmus
Amazing communicator! This dude just explained to me what no teacher ever managed to teach this math dunce:
Why do we learn multiplication as a separate thing when it's easily explained as a subset of addition?
-Because it's something that happens in nature all the time.
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Amazing communicator! This dude just explained to me what no teacher ever managed to teach this math dunce:
Why do we learn multiplication as a separate thing when it's easily explained as a subset of addition?
-Because it's something that happens in nature all the time.
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Dyslexic
The potential for fractals are formed by a process of spherical symmetry forming and breaking. The two dimensional surface forms a manifold for the movement of positive and negative charge forming one universal process for factual self-similarities.
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The potential for fractals are formed by a process of spherical symmetry forming and breaking. The two dimensional surface forms a manifold for the movement of positive and negative charge forming one universal process for factual self-similarities.
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Sofia
The potential for fractals are formed by a process of spherical symmetry forming and breaking. The two dimensional surface forms a manifold for the movement of positive and negative charge forming one universal process for factual self-similarities.
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The potential for fractals are formed by a process of spherical symmetry forming and breaking. The two dimensional surface forms a manifold for the movement of positive and negative charge forming one universal process for factual self-similarities.
reply
Steph
This is the best 5 Levels video I've seen. Dr Crane engages extremely well with each person, elaborating on his explanation as their understanding grows. He's an incredibly talented teacher.
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This is the best 5 Levels video I've seen. Dr Crane engages extremely well with each person, elaborating on his explanation as their understanding grows. He's an incredibly talented teacher.
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PaintDry
an algorithmic approach to fractals is easier to understand than a geometric approach. its too bad that he didnt get to that in either of the explanations for the kids
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an algorithmic approach to fractals is easier to understand than a geometric approach. its too bad that he didnt get to that in either of the explanations for the kids
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Vikrant
The reason why this series is so interesting is because you can literally do anything if you can explain complex topics to 10 years old kids.
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The reason why this series is so interesting is because you can literally do anything if you can explain complex topics to 10 years old kids.
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Onkel
I nerd-laughed when he said: -In order to understand recursion, you need to understand recursion. - I felt a bit of nerd-shame right after.
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I nerd-laughed when he said: -In order to understand recursion, you need to understand recursion. - I felt a bit of nerd-shame right after.
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PowerfulPillow
Yo the kids questions feel super forced, like what's the point of having them on if the aren't free to actually speak their mind?
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Yo the kids questions feel super forced, like what's the point of having them on if the aren't free to actually speak their mind?
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