Anonymous
Algebraic Calculus I: Points and Lines in the Affine Plane 2017-07-22 01:20:09 Post No.9053853
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Algebraic Calculus I: Points and Lines in the Affine Plane 2017-07-22 01:20:09 Post No.9053853
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Algebraic Calculus I: Points and Lines in the Affine Plane
Anonymous
2017-07-22 01:20:09
Post No. 9053853
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Dr. Wildberger has finally published the first part of his course: Algebraic Calculus. I remind the reader that Algebraic Calculus is a formulation of Calculus that only needs rational numbers.
Part A: https://www.youtube.com/watch?v=XQH4bb0SIls
Part B: https://www.youtube.com/watch?v=JJVtfeto-AY
Summary:
>Points
Dr. Wildberger introduces us to the notion of point, first intuitively and geometrically in the affine plane. This plane is given to us when we pick two non-parallel (but not necessarily perpendicular) lines and mark these lines with numbers. Then we can formalize the notion of point with rational numbers, as shown by Dr. Wildberger. The section ends with an explanation about how if we have a point, we have a way of representing that point geometrically in any affine plane given to us. In other words, all planes are equivalent as far as points are concerned.
>Lines
Lines are introduced as algebraic objects. They are defined by linear equations in two rational variables. Then Dr. Wildberger explains what do lines look like geometrically via an example.
>Proportions
Wildberger introduces the intuitive notion of proportion and then formalizes them algebraically using rational numbers and then shows the fundamental theorems that govern proportions.
>Projective Plane
Dr. Wildberger shows how to take points and line in the affine plane and represent them in the projective plane. He then shows that this comes with some neat tricks.
>Fundamental problems
Dr. Wildberger shows how his projective plane perspective is able to easily solve the two fundamental problems of geometry: how to find the point at which two lines intersect, and how to find the line that contains two given points.
As always, do not forget to thank the mad man by donating to his patreon: https://www.patreon.com/njwildberger
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Good work, that is a nice summary of the first lecture!
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>>9053874
No problem. I do have a question though: given that you have already started the series, have you already the solved the issues of continuity, integrability and differentiability for a geometric space in the rational numbers?
Have you found a notion equivalent to complete metric spaces but applicable to [math] \mathbb{Q} [/math]?
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>>9053853
I like my calc with epsilons and deltas and sequences of open balls. Its the way Leibniz would have wanted it
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Why do we not yet just simply determine ANY prime by means of extrapolation from a perfecy fractal describing the curve(s) of gaps and meta(^meta) gaps based on something like this?
http://techn.ology.net/the-density-plot-of-the-prime-gaps-is-a-fractal/
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>>9064823
oh for heavens sake
*perfect
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>>9064823
Because the Riemann hypothesis is an open problem.
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>>9064833
thats almost a red herring
a fractal would circumvent that
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old thread >>>9053327
Lets start with figure A.
. First look at the horizontal lines.
. Notice the lines are made of two segments.
. Add the lines up.
. Each line has two segments, and there are three lines. 2*3 = 6.
.
. Now look at the vertical lines.
. Add them up. The sum is 6.
. Add the sum of the vertical and horizontal lines. 6+6=12.
. You can attribute a value of 12 to figure A.
Now let's look at figure B.
. The sum of the horizontal lines is 12.
. The sum of the vertical lines is 12.
. The sum of the vertical and horizontal lines is 24.
. You can attribute a value of 24 to figure B.
Figure A=12. Figure B=24. Figure B is twice the value of figure A. If figure A = 5, then figure B must equal 10.
Am I wrong?
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>>9064133
the first one is all the squares + 1
so the second one is 9 + 1
you are correct
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>>9064133
There are 4 squares
S for square
4s=5
S=5/4
9s=x
X=45/4
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>>9064146
My method is better.
Go ahead. Prove to me that every single event, no matter how insignificant, hasn't been preordained. Prove to me that an hydrogen atom 2 billion lighf years from earth that is in a certain position going at certain velocity wasn't determined to be there going that certain speed when the universe initially started to expand.
- prop tip you can't.
Face it, your life, your thoughts have already been determined billions of years ago and a not single thing will change that.
Heisenberg is wrong.
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>Prove to me that every single event, no matter how insignificant, hasn't been preordained.
burden of proof is on you
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Determinism is used by people to justify their own failures. Prove me wrong.
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>>9057584
No it isn't.
This is the starting position.
If I throw a ball in the air its destination is already determined even if I don't know what is.
Does magic happen that causes randomness? No.
Everything can be determined to the Planck measurement, just need a lot of computing power and the starting parameters.
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If 20% of people are responsible for 80% of the >world's economic output
>scientific and technological advances
>wealth
>higher IQ
then what is the point of having the rest of the 5.6 billion (out of 7 billion) still around?
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>>9064576
You're right. It's time to exterminate all non-Asians and non-Jews.
White and black people are the dumbest and least productive and are just gibmedats parasites.
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lackey work
manuel labour
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>OP wants to grow wheat, harvest it and bake bread while still making scientific advances
>of course fell for the iq meme too for good measure
good luck with that
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What are acceptable engineers?
I have the following
-Nuclear
-Aerospace
-Train
-memetic
-Chemical
-biochemical
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>>9063707
mathematical engineer
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>>9063709
whats that?
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>>9063707
Nuclear really niche, unis usually have it under applied physics
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Got your attention? Good.
I been playing a lot of Stellaris lately, and you guys are "the smart ones" so I have a question:
If FTL aliens found earth, what would happen?
Would they just view us until we got FTL travel?
Would they help us get FTL travel?
Would they glass us?
Would they try to invade without glassing because of our rare resources?
If so, would we stand a chance or not?
I have this sneaking suspecion that humans might end up being the deadliest thing in the galaxy, and that no other alien race has gone our route, without nuking each other.
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An advanced civ wouldn't need anything we have, and due to the engineering problem of moving living things around in space it's more likely we'll encounter some sort of Von Neumann probe. That could be very bad for us, as it would likely multiply and harvest everything in our solar system, including the biomass. It's what humans would do.
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>>9063688
There was a really good book about the Fermi paradox basically saying ancient humans made a Von Neumann probe that fucked them over in the end and is the reason there are no aliens around I think it's the Three Body Problem.
There is the idea that humans may be making a unique discovery, also that something random like some stupid chemical in cow shit is a super rare component for medicine or space travel or something for that alien species.
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>>9063700
Is that that chinese sci fi?
There is a predictor, a player, and two boxes designated A and B. The player is given a choice between taking only box B, or taking both boxes A and B. The player knows the following:
- Box A is clear, and always contains a visible $1,000.
- Box B is opaque, and its content has already been set by the predictor:
If the predictor has predicted the player will take both boxes A and B, then box B contains nothing.
If the predictor has predicted that the player will take only box B, then box B contains $1,000,000.
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>>9063590
what do you have to lose by taking both boxes? this is a shitty problem.
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So always predict box B because $1000 is not shit.
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>>9063590
Knock out the predictor and take his stuff
Anonymous
Which country has the most advanced robotics research and development? 2017-07-26 12:03:34 Post No.9063336
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Which country has the most advanced robotics research and development? 2017-07-26 12:03:34 Post No.9063336
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Which country has the most advanced robotics research and development?
Anonymous
2017-07-26 12:03:34
Post No. 9063336
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>inb4 'Murica, fuck yeah!
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Tie between America and Japan
America's robotic industry is fueled by weapons developers
Japan's robotics industry is fueled by health and industry. Most of the people in Japan are at retiring age and they want to make robots to replace them as workers, and other robots to nurse them as they get old.
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killing is easier than caring, right?
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>>9063361
This sounds about right.
Anonymous
Why don't we just ask idiots not to multiply? 2017-07-25 09:52:39 Post No.9063083
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Why don't we just ask idiots not to multiply? 2017-07-25 09:52:39 Post No.9063083
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Why don't we just ask idiots not to multiply?
Anonymous
2017-07-25 09:52:39
Post No. 9063083
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This is coming from an autist who understands his genes are shizer and is not reproducing why can't we just ask people not to reproduce
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This would solve human retardation!
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Because telling people with literal retard genes like Down's syndrome that they can't reproduce is depriving them of a basic human right or some moralfag argument like that. Also it's a slippery slope from this argument to eugenics.
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>>9063122
Eugenics is good also I have Down syndrome for real psychologists diagnosed me with severe autism but I don't care because I know the are just pseudoscience majors
Anonymous
Math&Science film recommendation thread. 2017-07-25 09:37:48 Post No.9063037
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Math&Science film recommendation thread. 2017-07-25 09:37:48 Post No.9063037
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Math&Science film recommendation thread.
Anonymous
2017-07-25 09:37:48
Post No. 9063037
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Uh?
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The Oxford Murders was OK.
The Cube is a piece of shit.
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>>9063037
Okay I will bite. What is that movie about OP?
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"Poo in loo chronicles: conjectures outta my ass"
Anonymous
Sperm count on decline 2017-07-25 08:52:53 Post No.9062922
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Sperm count on decline 2017-07-25 08:52:53 Post No.9062922
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http://www.bbc.com/news/health-40719743
https://www.nytimes.com/2017/03/11/opinion/sunday/are-your-sperm-in-trouble.html
The majority of these articles say it's happening at a crazy rate in the west, but it also seems to be affecting nations with industries.
http://www.standardmedia.co.ke/evewoman/article/2001248895/infertility-amongst-african-men-is-on-the-rise-here-s-why
http://www.fertstert.org/article/S0015-0282(16)62866-2/fulltext
Besides the "THEY'RE PUTTING ESTROGEN IN THE DRINKING WATER" hysteria, what could be the root of the cause? Is it pollution? Antibiotics? Modern diets with processed foods?
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>>9062922
>Besides the "THEY'RE PUTTING ESTROGEN IN THE DRINKING WATER" hysteria, what could be the root of the cause? Is it pollution? Antibiotics? Modern diets with processed foods?
All above are provably true. Also a decline in physical activity.
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wow
its almost as if
someone doesn't want Europeans to raise sons
hmmmmm (((())))))))
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>>9062922
Plastic shit. Look up BPA. Lot of new shit popped up in the last 200 years and we haven't adapted to it yet. Thankfully I know i'm fertile so I'm good
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>Professor requires you to buy the textbook that they wrote
Why is this allowed?
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becausemerica
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>>9062753
kek because they're egotistical faggots, that cunt was my least favourite lecturer.
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>>9062753
In all seriousness, I don't see this happen often, and when it does, it's usually because it's actually a good book
The few times I've had this happen the book was either dirt cheap or already in national print with a ton of circulation (100000+)
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How bad are concussions for you and are they reversible?
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>>9062505
once you break it, it doesn't get unbroken
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To reverse a concussion you have to do the opposite to how you do that concussion.
So you should bang your head in the opposite way to your first bang and it will sort you out.
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>>9062514
contrecoup?
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How accurate is this?
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What is is supposed to measure. Jobs, difficulty of degree, IQ?
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>>9062429
Ego
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>>9062445
someone finally said it.