Math Is Fun Forum

sorry for the late reply,  what I dont understand is that it seems to be a group of under module something but it doesnt say anything

hmm that's an interesting proposition, first I doubted it because I overlooked the requirement that G is a group itself

Looks like you are using 1, as the base
I put n=1 into my formula's, then I got
2^13 = 8192,
number = 2+13*2+2=30

oh yeah, I should have made it clear, that you could paste any portion of the As, if not, its hard to make it to 10000 precisely
sorry about that
So its like, when you pass 5000, you could reach 10000 in one copy and paste....
but wait, that doesnt sound really realistic...I think your solution might be the best

So this is just a definition. He wrote that vector in term of basis x_i with corresponding column(j) elements. So it could have been row(j) elements, but they are equivalent?

so the region would be   y^2<x<4 , 0<y<2, graph it and express the region in different way
then you get,  0<x<4,  0<y< square root (x) , then u go on and reverse the order
*can somebody check if I did it correctly *

Oh yeah, didnt see that

R  E  A D
T  H  I  S
P  A  G E

Ok then, since all 10 digits are used

every addition: (k_1,k,k_2 = 0 or 1)

D+S =10k+E
A+I+k =10K_1+G
E+H+K_1= 10k_2 + A
R+T+k_2=P
(like, 6+7=10+3, so the k would be 1 here)

(k,k1,k2)= (0,0,0), (0,1,1,),(1,1,1)....... 2x2x2=8 pairs......

thats all I got so far, wait...

and E appear in PAGE, and READ, so is A
therefore, D+S >10,  E+H >10 , then k=1, k_2=1
so
D+S =10+E
A+I+1 =10K_1+G
E+H+K_1= 10 + A
R+T+1=P

I think its much easier from here on

To me, Math is not science
Science is the study of this world
but you CANT find math in the world ,  cant find a matter called "2"
It only exists in the world conceptual in our brains
leads to , does consciousness , thoughts count as substance?
Math is like coming from some other world only connects with our consciousness?

Oh, I see.  Thanks guys