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My intuition tells me that a more productive (mind the pun) way of looking at things is not income per person but productivity per person. Are we really saying that heavy plows, crop rotation, the three field system, and so on didn't lead to marked increases in people's wellbeing? As a subsistence peasant you're not really making much of an income regardless. Most of the things you have are things you made or bartered for, or so I thought. This is kind of incoherent I'm sorry. Like, isn't one of the reasons for the proto-urbanization of the high middle ages a surplus of food production resulting from advances in agricultural productivity? Is that really nothing?

I wish I was black.

Nothing like a Black Graduation no matter the level of degree. We get down and throw it down!

Little boy blue lmao ♿️

Whats a black graduation ceremony? Do they have it racially segregated? The USA never fails to amuse me lol

Things like this event are one of the most obvious signs of the decay of western society, have never been so sure about that. The same ones that claim for a more "inclusive" society, "fight" racism, ask for respect, etc... then come up with this brilliant idea. Why not "38th annual white graduation"? Are we not equal and inclusive? Don't we live in a democracy? Hmm.....I'm just thankful I wasn't born in the United States, because my mental health would be very low... They set the bar lower each day, it's unbelievable

Disrespectful to the school and others.

Did you notice that gem at the end, how the chancellor or whomever acted like he was going to do a split too and the ladies in the back go wild

Unfortunately, Jesse can no longer have kids.

This gone viral now. 😂

Cmon man ! This is the best and put some James brown music over it !!

25:33 Shouldn't it be: _cos(theta/2), sin(theta/2) * v_ ? 🤔

Hamilton invented the quaternion, not... Heisenberg. There's even a plaque on a bridge in Dublin where it "hit" him to use "ijk". He wrote it down as: _i^2 = j^2 = k^2 = ijk = −1_

Terrence Howard 2024

How the wonderful this prof.is.........

An interesting story of preindustrial world... gonna watch this video again

Your parents shouldn’t have had children as you are no gem to humanity. You’re a pathological liar and a disgusting person who will spend your life having to explain for being such filth.

anyone knows where I can find the videos he is talking about?

amazingly good videos/ lectures thank you sooooo much for uploading and letting me have a chance to understand the history of eco[which is so important] better!!! thank you so much

He sounds like Jonathon Haidt with an accent. Interesting topic.

Me and Reza did our thesis together at state, my dawg right here💪🏾

Your patience with the chalk is admirable.

Godel's "Theorem" is a complete farce and absolute bullshit. Godel assigns a unique number to all the symbols in real numbers via the Fundamental Theorem of Algebra: e.g., the syntactical symbols "+", "-", "x" (multiplication) as well as the actual numbers and powers (e.g. 3^2). By his criteria, a "proof" consists of a tautology on each side of the equal sign. At first, one might think the statement "3 + 4 = 7" is a "proof", since it can be reduced to a sum of units on either side. But that would be a contradiction, according to Godel, because "3 + 4" has a different Godel Number than "7". So the only "proofs" for Godel are G(wff) = G(wff); any other statement is a contradiction by Godel Number. I call BS - a giant twittering machine built on nothing, see my pdfs on physicsdiscussionforum dot org Remember, you read it here first... :)

This professor is remarkably ignorant yet he's a good talker. If you actually know what you're talking about many of the things he's saying will be marred objectionable but he's got a good voice. I much prefer to be intelligent... Check out Mises institute... The Austrian school of economics lecture on the same material would be so much better...

What is the name of the profesor? Nice lecture!

I don’t get the multiplication part.

It was James Watt's Invention of the Steam Engine. A 500 times increase in the Power output for the whole country. From 20,000 Waterwheels in 1800 to 10,000,000 Steam Engines in 1900 !!!

I just plug in a 5 tick stop and 8 tick target on Ninjatrader

Britain from 1800 to 1900. 20,000 Waterwheels decreased in number. Windmills decreased in number. Englishman Thomas Newcomen's 1,500 Atmospheric Pumps disappeared. Scotsman James Watt's 500 Steam Engines increased in number to 10,000,000 !!! For every SINGLE Waterwheel in 1800 we now have an additional 500 Steam Engines in 1900 !!! That's an increase in Power Capacity and therefore Productive Capacity for the whole country of 500 times !!! In one human lifetime. And there's no need for flowing rivers of water for each one either, so they can be sited anywhere. This WAS the Industrial Revolution. It was a Power Revolution. And it was all due to only one single Invention, James Watt's Invention of the world's first PRACTICAL Steam Powered Engine. Spinning and Weaving boost had nothing to do with the Industrial Revolution , that was due to unfair trading practices.

Back in the mid 1980's I took an extension course at UCLA. I didn't have time to eat a decent meal before class, so I ate out of a vending machine and went up to the Engineering-Math Library before class. I Stumbled on to some IBM Research Journals that were very enlightening. Math PhD's had carefully researched algorithms and presented how they would do it if memory was not constrained. Then, they bastardized the algorithms to squeeze them into crippled computers. Before I finished the course, the friends of the library literally gave away these volumes because they were more than 15 years old and the library had run out of shelf space. So, the bastardized algorithms survived, but the research into what should have been got destroyed. Our algorithms today are simply the patched versions of the bastards. Nobody has ever revisited what should have been. Its simply very awkward settled science, good enough for half a century ago when the bigger IBM 360's had 16K of core.

I just wanna say Doc, as a gamer and enthusiast of graphic processing I am really enjoying your lectures. Thanks so much for posting and sharing information with the world. You’re awesome.

mind boggling shit

18:13 I believe it’s HSL and HSV: Hue, Saturation, Lightness/Value. HLV isn’t a thing.

If someone knows: he didn't really explained how the horizontal scan between endpoints works Like, I know how to go from an x to the other by adding 1 to x and Z-inc to z, but when do you stop? You gotta do all the divisions and calculations for the uvs, rgbs and all of that for the other edge tracker? You only use it as an stopping point! As what is said in this lecture you don't use all that information from the other side I also don't know how to increment the uv coordinates as you go across, again verticaly is easy because you got information from the begining of the edge tracker to the end, but horizontally is a mistery if someone knows, those are my 2 questions - what is the use of the other edge tracker? appart from being an stoping point - how do you increment the uvs as you go across?

God bles you bro❤😊😊😊

for antialiasing, can't you see the two points that an edge of a polygon intersects the square of a pixel? knowing those two points you can make the triangle that the polygon is occuping or not occuping in the pixel, knowing the area of the triangle you can get how much of the pixel that point with that color occupies

Old Chinese customs did not allow women inheritance rights so they were not favoured as men.

It appears that one child policy is justified from this course.

"Don't worry about the holes"... my new mantra

Excelent!

Wrong. The birth rate for stable population is around 1.2 per woman, not 2.1. Draw a closed system with 2 parents, two kids and two grandchildren. Population has tripled. Or do a computer model as I did. Or check China's population growth during the one child years birth rate and net migration. Will anyone listen?

Hi can anyone recommend some books on the history of the world economy?

Such gross Oversimplification of the world is either a reflection of the west/east gap in understanding of each other's cultures (East knows 100 times more about the le west than vice versa), or your neglect of your students' capcity. In both cases, you are shamefully (ir)responsible. Please be careful if you ever go to Egypt, India, Guatemala, or China... Their Millenia old spears may hit you in the back as you leave the bar and their laughs may deafen you.

Which book is he talking about?

Does he have the right hand rule wrong??

This is a great lecture although at this video resolution I wish he had had colored chalk.

Draws three perpendicular axes and doesn't tell you which one is x, y or z. Good luck.

Not a good idea to show a coordinate frame wirh the left hand. Ever hear of the right hand rule?

check

A little algebra would have made things simpler and cleaner.q=a+bi+cj+dk, Hamiltonian numbers are an extension of complex numbers. As person with mathematical background I found the lecture a bit confusing. In math you easily and cleanly show that Hamiltonian numbers form a number system but there is no commutation.Showing a=a+v part is the interesting part of this lecture. But I wish he had done it in a cleaner way mathematically. Wikipedia covers this but still I wish someone would post a lecture on rotation using Hamiltonian numbers in a detailed and clear way. But the way Hamilton wanted to make a number system in dimension 3 but it did not work. Mathematically , there are number systems of dime nation 1,2 ,4 and 8 and that is all, nothing beyond 8. Dimension 8 numbers are called Cayley With Cayley numbers you do not have a(bc) equal to (ab)c numbers. It took decades before Hamiltonian found their way into application . Let us hope that Cayley find their way in years rather than decades.