# Search results

1. ### Edge of universe?

I'm not a physicist! Just wondering what it is like on the edge of the universe? how many dimensions will be there, what force will be acted upon a close object, and what relativity will become? I'm assuming the universe is euclidian (eucklidean? euclidean? my English sucks.) not hyperbolic or...
2. ### 1^∞, 0^0 and others on the real projective line

ok I just got a kinda 'crazy' idea that would explain the arithmetic paradox. if say, ∞/∞=A and 0/0=A; pick 2 random numbers from A, just 2 and 3; so ∞/∞=2 ∞/∞=3 0/0=2 0/0=3 however 2\neq3; ∞/∞=2\neq3=∞/∞; so ∞/∞\neq∞/∞, same goes for 0/0\neq0/0 so is it possible to say that: ∞\neq∞...
3. ### Why do people think red shift is caused by big bang?

Question: as title says. I'm not a physicist at all and I do not know much about how people obtained the big bang theory from red shift. So here is what I thought from red shift: In a time period t1, a distant body emits a light wave with a certain amount of energy with n oscilations(I dont...
4. ### 1^∞, 0^0 and others on the real projective line

Is there an alternative symbol that can be used instead of '=', for a different logical expression? a=b means a and b are equivalent in quantity, however infinity and 0 are not ordinary quantities?
5. ### 1^∞, 0^0 and others on the real projective line

I can see that infinity does not 'equal' to infinity (inf/inf=A) but does 0 'equal' to 0??? (0/0=A)! there are values other than 1 in A, then is 0=0 false? Trying to find a equation to explain it.
6. ### 1^∞, 0^0 and others on the real projective line

But the problem for me is that I use computer in many different places, and I can't even read my own writing
7. ### 1^∞, 0^0 and others on the real projective line

I am so dumb. Used the hard way to do all the things. Because 1^inf=A then for any number n, n^inf=A because n^inf=n^inf * 1^inf =n^inf * A
8. ### 1^∞, 0^0 and others on the real projective line

let there be y=0*x there are 4 value ranges on the real plane: I. x<0 y=inf II. x=0 y=A III. x>0 y=0 IV. x=inf y=A as we can see here the value of y is like a sine wave; (Although A is not a number.) inf --> A --> 0 --> A --> inf --> A .... so, does A represent a intermediate range of...
9. ### How do I write radian decimals in terms of Pi?

1.047/pi≈1/3 1/3*pi=pi/3
10. ### Laws of logs question

The red part is the wrong part. By reverse you use e as a index for exponentiation, so lets say : ln a = ln b - c e^(ln a) = e^(ln b - c) u got your exponentialtion wrong.
11. ### 1^∞, 0^0 and others on the real projective line

This is very strange... ∞/0 =(n/0)/0 =n*(0^-2) =n/0 =∞ 0/∞ =(n/∞)/∞ =n*(∞^-2) =n*0 =0 And from that , ∞^∞=A and 0^∞=A
12. ### 1^∞, 0^0 and others on the real projective line

so if those things are true, then many of the limits can be viewed in a different perspective. e.g. lim->infinity (1+1/m)^m=e u couldnt just substitute m=infinity into the equation; however if we do that: (1+0)^infinity=e 1^infinity=e it makes sence now since e is a member of A.
13. ### 1^∞, 0^0 and others on the real projective line

thinking from the Riemann Sphere: can the real projective line be described as a circular graph? So all the arithmetic calculations can be done via angular calculations, and 0 or infinity would have a unique angle from the axis?

15. ### The best way to solve x³ + bx = c

now I look at my answer I got confused... cause the formula does not contain b so it is wrong???
16. ### The best way to solve x³ + bx = c

x^3+bx=c x(x^2+b)=c x(x+ib)(x-ib)=c ln (x(x+ib)(x-ib))=ln c ln x + ln (x+ib) + ln (x-ib)=ln c ln x + ln |x| + iarg(z) + ln |x| - iarg(z)=ln c ln x + ln x + ln x = ln c 3ln x = ln c ln x = (ln c)/3 x=e^(ln c)/3
17. ### Simple question about logs

if x^a=b (a,b are constants) then there are two ways of finding x: root and log so for example, x^2=4 by root: (x^2)^(1/2)=(4)^(1/2) x=\pm2 by log: 2 ln (x) = 2 ln 2 x=2 but it is yet impossible to obtain the negative x from logs. How are you supposed to do it? And heres a few...
18. ### The best way to solve x³ + bx = c

u mean 606087.936...? or 606087936
19. ### How should continue on my study?

I'm a High School student in NZ, and Im going to the local university next year. However I dont know what subject should I choose, I perfer pure mathematics, although engineering or computer programming may have much higher incomes so Im considering them. I am very good at mathematics (I studied...
20. ### General mathematics problem on time taken to fill tank with pipes ,problem is below

Thats general algebra. Try to change the problem into values maybe helpful - thats what I do.
21. ### Is there a theory about one-sided equations ?

Yes thank you Chiro. However I know this and this is not what I meant to find out. What I am trying to do is to define the 'undefined' for things like 0/0 and ∞/∞ in the real projective plane. I recall that 'undefined' A , and A has these properties: A \bigcap R, and every number in R suits...
22. ### Is there a theory about one-sided equations ?

Is there a theory about one-sided "equations"? I am working on infinity recently. Trying to define the 'indirect' result of infinity as 'range of numbers'. So its like: if there is a set A of infinite elements, f(x)=a\wedgeb\wedgec\wedged..... (a,b,c,d...\inA); However, one cannot say a=f(x)...
23. ### Questions about the logic of infinity

sorry my fault cause I am still in high school so a lot of advanced math things are still a blur to me. And I do not know how to speak proper mathematical language. Anyway: a\sqrt[]{}n , n\subsetℝ;n>0 as a gets bigger , a√n converges to 1; so can this be true: ∞√n = 1...
24. ### Questions about the logic of infinity

Yes, I understand what ∞ means, that was just a proof. and as I said, infinity is logically impossible to approach, so does that make 1^∞=e true, since the calculation is not logical, one cannot say the answer is logical. (1+1/m)^m=e
25. ### Questions about the logic of infinity

I asked a question related to infinity a few weeks ago, but the answer I got really lead me to a confusion. Is there any way, that infinity can be compared in another plane or whatever. So here is something paradox if you treat infinity as it is in the set of real numbers...
26. ### Can someone just help explain a clear defination of superlog?

I was trying to understand superlog and superroot but I get only 3/4 of them. Can anyone just explain, in a non-textbook way, such that: I can understand without any post-calc knowledge http://en.wikipedia.org/wiki/Superlog ------------------------------------------------- or just explain...
27. ### A counter-example to the Gelfond–Schneider theorem

c = a^b = |a|^b x e^(ib) ? so if a= -1, b=2 c=1; then |-1|^2*e^(2i) = e^2i? i suppose that can only be e^2i∏ which equals to 1. and whats this formula called?
28. ### A counter-example to the Gelfond–Schneider theorem

Gelfond–Schneider theorem can be seen here(http://en.wikipedia.org/wiki/Gelfond%27s_theorem) wiki. ---------------------------------------------------------------------------------- Given a simple calculation: a^b where a<0; and let b be a fraction : u/v so there are 3 possible ways of u...
29. ### 1 to the power of ∞ =e ?

1 to the power of ∞ =e ????? Let there be function f(x): f(x)=(b+1)^(b+1)/(b+1!)/[(b^b)/b!] --an example of f(99): 100^100/100!/(99^99/99!) ------------------------------------------------------------------------- and as b gets larger, f(x) converges to e. so we have: lim b→ ∞...