Forums
Scientist thread
Quick find code: 23-24-901-65318918
So here is some old af beam problems I pulled out from under my couch specifically for this thread...because I srsly keep old structures stuff from years ago under my couch:
I don't even remember wtf this relates to, so don't even ask, but lol beams. REMOVE SILVERHAWK BOOTS FROM RUNESCAPE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I don't even remember wtf this relates to, so don't even ask, but lol beams. REMOVE SILVERHAWK BOOTS FROM RUNESCAPE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
19-Aug-2016 06:36:59
And yet another old af beam problem from under the couch:
There was a time when my life was nothing but beams, then I clicked a beam in a poorly pixelated game...and my life was still beams.
O, and the one non-beam problem I find, ofc I spilt coffee all over back in the day:
The answer to that was 34.2hp btw (I didn't feel like scanning off one line on the back). REMOVE SILVERHAWK BOOTS FROM RUNESCAPE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
There was a time when my life was nothing but beams, then I clicked a beam in a poorly pixelated game...and my life was still beams.
O, and the one non-beam problem I find, ofc I spilt coffee all over back in the day:
The answer to that was 34.2hp btw (I didn't feel like scanning off one line on the back). REMOVE SILVERHAWK BOOTS FROM RUNESCAPE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
19-Aug-2016 08:11:52 - Last edited on 19-Aug-2016 08:16:54 by Jenny Smith
Markiv13
said
:
Saikie said :
e^(i*pi)+1=0, or for all you Tau enthusiasts, e^(i*tau)=1.
My favourite mathematical proof.
Claim: There exists irrationals x and y such that x^y is rational.
Proof: Consider sqrt(2)^sqrt(2). Now sqrt(2)^sqrt(2) must either be rational or irrational.
If sqrt(2)^sqrt(2) is rational we are done (in this case
If sqrt(2)^sqrt(2) is irrational, then (sqrt(2)^sqrt(2))^sqrt(2)=2 and we are done (in this case
I think this can be done (though non-constructively) with a cardinality argument. Pick a positive rational number r, and suppose there aren't any irrationals a and b such that a^b = r. This is to say that r^(1/b) would have to be rational if b is irrational. But this is a monotone map from an (uncountable) set of irrational number to a (countable) set of rational numbers, which is a contradiction.
I think you mean a bijective map
but I agree with your proof. It's a nice proof by contradiction but I like mine because I find it elegant and I like sqrt(2)
.
Saikie said :
e^(i*pi)+1=0, or for all you Tau enthusiasts, e^(i*tau)=1.
My favourite mathematical proof.
Claim: There exists irrationals x and y such that x^y is rational.
Proof: Consider sqrt(2)^sqrt(2). Now sqrt(2)^sqrt(2) must either be rational or irrational.
If sqrt(2)^sqrt(2) is rational we are done (in this case
x=sqrt(2)
and
y=sqrt(2)
).
If sqrt(2)^sqrt(2) is irrational, then (sqrt(2)^sqrt(2))^sqrt(2)=2 and we are done (in this case
x=sqrt(2)^sqrt(2)
and
y=sqrt(2)
).
I think this can be done (though non-constructively) with a cardinality argument. Pick a positive rational number r, and suppose there aren't any irrationals a and b such that a^b = r. This is to say that r^(1/b) would have to be rational if b is irrational. But this is a monotone map from an (uncountable) set of irrational number to a (countable) set of rational numbers, which is a contradiction.
I think you mean a bijective map
but I agree with your proof. It's a nice proof by contradiction but I like mine because I find it elegant and I like sqrt(2)
.
Beauty is the first test: there is no permanent place in the world for ugly mathematics
-G.H. Hardy
19-Aug-2016 15:34:32
Someone has probably already caught this, but I not going to read through all 30 pages to find out. Unlike out intrepid poster thought on page 1 last post, H20 (the 2 being small and at the bottom right of the H, is the molecular make up of the water molecule.
2 Hydrogen atoms bound to 1 Oxygen atom.
Using electrolysis H2O can be broken down into hydrogen and Oxygen, captured and burned again to form water once more.
Did you know that seaweed from the deepest parts of the ocean can convert 99% of any sunlight that reaches it? Far more efficient that its land brethren
IN a Guinness book of world records show, someone once presented a vial they said was the most powerful scent in the world and asked the audience to put up their hand when they smelt it, when the stopper was taken out...
Half of the audience put up their hands. How many could realy smell it? Who knows? But the vial contained distilled water (scentless). It was an exercise in the senses being fooled by the power of suggestion.
Did you know your vision has a refresh rate just like a monitor? For short moments your sight is offline while the brain processes a 'frame'. The proof? try the blurring of vision cornering on fast rollercoasters, the scene is changing faster than your 'refresh rate'. Only the central part of your vision is in "high definition", colour being far more complicated to process means compromises in how we see. What we are focused on is rendered in 'high detail' while the outer segment involves a lot of low detail, blurred colour, indistinguishable words ect. To top if off the brain also compromises even in the focused part of our vision, by rendering "what it expects to see" and that is how and why camouflage and 'blending in' works!
The purpose of adventure is to shine light into dark places,
Poke monsters with a sharp stick, Then steal anything that isn't nailed down!
To the Manor Born QFC 185-186-367-65788716
2 Hydrogen atoms bound to 1 Oxygen atom.
Using electrolysis H2O can be broken down into hydrogen and Oxygen, captured and burned again to form water once more.
Did you know that seaweed from the deepest parts of the ocean can convert 99% of any sunlight that reaches it? Far more efficient that its land brethren
IN a Guinness book of world records show, someone once presented a vial they said was the most powerful scent in the world and asked the audience to put up their hand when they smelt it, when the stopper was taken out...
Half of the audience put up their hands. How many could realy smell it? Who knows? But the vial contained distilled water (scentless). It was an exercise in the senses being fooled by the power of suggestion.
Did you know your vision has a refresh rate just like a monitor? For short moments your sight is offline while the brain processes a 'frame'. The proof? try the blurring of vision cornering on fast rollercoasters, the scene is changing faster than your 'refresh rate'. Only the central part of your vision is in "high definition", colour being far more complicated to process means compromises in how we see. What we are focused on is rendered in 'high detail' while the outer segment involves a lot of low detail, blurred colour, indistinguishable words ect. To top if off the brain also compromises even in the focused part of our vision, by rendering "what it expects to see" and that is how and why camouflage and 'blending in' works!
The purpose of adventure is to shine light into dark places,
Poke monsters with a sharp stick, Then steal anything that isn't nailed down!
To the Manor Born QFC 185-186-367-65788716
19-Aug-2016 18:36:25 - Last edited on 19-Aug-2016 20:34:12 by Solanumtinkr
But...but...
REMOVE SILVERHAWK BOOTS FROM RUNESCAPE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
REMOVE SILVERHAWK BOOTS FROM RUNESCAPE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
19-Aug-2016 19:15:19
Ah yes, I completely forgot monotone maps were injective. I can see why you mentioned monotone now as the contradiction is then implied. I'm more of an algebra guy than an analysis guy
.
Anyways, thanks for the clever proof!
.
Anyways, thanks for the clever proof!
Beauty is the first test: there is no permanent place in the world for ugly mathematics
-G.H. Hardy
19-Aug-2016 23:36:00 - Last edited on 19-Aug-2016 23:39:25 by Saikie
Quick find code: 23-24-901-65318918 Back to Top