1: Thou shalt not divide by zero
2: Thou must show thy work
3: Thou must do unto one side of the equation what thou dost unto the other
4: Thou shalt not forget to carry the 1
5: Thou must honour the order of operations
6: Thou must flex the hexaflexagon with caution and never to cause…
Glenn Sundby, Cairo, 1977
This is how I first really understood the Pythagorean Theorem.
The outer circle looks just a little bit larger than the inner circle. But actually, its area is twice as large.
Kind of like the difference between medium and large soda cups, or how a tiny house still requires kind of a lot of timber, for how much air it encloses. If you buy a slightly wider pizza or cake it will serve proportionally more people; and if an inverse-square force (sound, radio power, light brightness) expands a little bit more it will lose a lot of its energy.
Ideas involved here:
- scaling properties of squared quantities
(gravitational force, skin, paint, loudness, brightness)
- circumcircle & incircle
This is also how I first really understood √2, now my favourite number.
The Pale Blue Dot
Look again at that dot. That’s here. That’s home. That’s us. On it everyone you love, everyone you know, everyone you ever heard of, every human being who ever was, lived out their lives.
The aggregate of our joy and suffering, thousands of confident religions, ideologies, and economic doctrines, every hunter and forager, every hero and coward, every creator and destroyer of civilization, every king and peasant, every young couple in love, every mother and father, hopeful child, inventor and explorer, every teacher of morals, every corrupt politician, every “superstar,” every “supreme leader,” every saint and sinner in the history of our species lived there - on a mote of dust suspended in a sunbeam.
The Earth is a very small stage in a vast cosmic arena. Think of the endless cruelties visited by the inhabitants of one corner of this pixel on the scarcely distinguishable inhabitants of some other corner. How frequent their misunderstandings, how eager they are to kill one another, how fervent their hatreds. Think of the rivers of blood spilled by all those generals and emperors so that, in glory and triumph, they could become the momentary masters of a fraction of a dot.
Our posturings, our imagined self-importance, the delusion that we have some privileged position in the Universe, are challenged by this point of pale light. Our planet is a lonely speck in the great enveloping cosmic dark. In our obscurity, in all this vastness, there is no hint that help will come from elsewhere to save us from ourselves.
The Earth is the only world known so far to harbour life. There is nowhere else, at least in the near future, to which our species could migrate. Visit, yes. Settle, not yet. Like it or not, for the moment the Earth is where we make our stand.
It has been said that astronomy is a humbling and character-building experience. There is perhaps no better demonstration of the folly of human conceits than this distant image of our tiny world. To me, it underscores our responsibility to deal more kindly with one another, and to preserve and cherish the pale blue dot, the only home we’ve ever known.
Pokemon as described by physical laws
How to perfectly bisect a line segment.
Isn’t this needlessly over complicating the problem?
Why not just draw two circles of radius the total length of the line centred at A and B (the same as the first step here), then draw a line between the intersections of those circles?
Afraid of math? Watch this!
Hello there, yeah I’m doing maths at Warwick :)
In short, I’m loving it here. It is just was I hoping university would be like and I’m really happy. I would recommend it to anybody. If you’re not studying maths then this next bit will be a little less applicable as other subjects do things differently but it’ll still be broadly true.
The work is really hard. However, if you are the caliber of student who is applying to Warwick then you’ll be able to do it. Assignments certainly don’t take up all of my time but they are do form a reasonable portion of what I have to do.
So long as you finish work somewhat ahead of the deadline and try to work in groups then it shouldn’t be too stressful. You won’t be ‘drowning’ but certainly ‘swimming up stream’ most of the time :)
The social life at Warwick is great. It’s common to be going out on Wednesday nights rather than the weekends but a lot of people do go out Saturday nights. The best way to be socialising is with as sports club. Every Wednesday sports clubs go circling in the SU which is a lot of fun drinking games run by your club’s social secretaries then go to a club afterwards. It sounds dumb at first but it’s the best way to go out.
There are also a lot of places to go out in Leamington and a few in Covntry so you’re never really hard up for choice.
I hope that answers some of your questions, if you have any more don’t hesitate to ask.
Astronaut readjusts to life back on Earth
> Don’t give him a baby for a while.
HE GRABS THE CUP BUT THEN HE DROPS THE PEN 0.0003 SECONDS LATER
AND HE LOOKS UP AT THE CEILING INSTEAD OF AT THE GROUND WHEN HE CAN’T FIND THEM
i need to watch later omfg
i made an ungodly noise oh my god
he looks so done with gravity
I believe you can pick one up at the Cantor store, I think he has the whole set! Julia works there, and Sierpiński did the interior decorating (but he mostly focused on the carpet). Mandelbrot might also stock a few but he keeps a dragon about so your best bet is probably Koch's snow dome (if it hasn't blown a gasket).
I can fill one with water, a 10cm x 10cm x 10cm Menger sponge will take one litre. If you’re looking for it to be repainted however, I’m afraid I can’t help, just can’t be done you see.
Oh hi maths, didn’t see you there.