  # lqg

Senior Members

41

## Community Reputation

10 Neutral

• Rank
Quark
• Birthday 02/05/1986

• Website URL
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## Profile Information

• College Major/Degree
Msc in math
• Favorite Area of Science
Mathematical Physics
• Biography
A logical nutcase.
• Occupation
Bum
1. The question: A triple stellar system, showing a parallax of 0.01 arcsecond, is composed of a binary system, with a distance between the two stars of 0.2 AU, and a third star, at a distance of 90 AU from the binary. This system is observed in the optical (wavelength of 55000 Angstram) with a 1 meter telescope. a. What is the distance of this system ? b. How many stars will actually be seen when using a space-based telescope ? c. How many stars will be seen when using a ground-based telescope, where the typical seeing is 1 arcsecond ? My attempt at solution a. Well,$\theta=0.01[arcseconds]$ ,$D=\frac{\lambda}{\theta}$ where lambda is the wavelenghth given in the brackets, and D is the distance of this stellar system from earth. Don't know how to do b. and c., any advice? Thanks in advance.
2. x'y' + xy = (xy' +x'y)' x'z + xy = x'y'z + yz + xy if (xy'+x'y)=1 then either xy'=1 x'y=0 or xy'=1 x'y=0 or xy'=xy'=1 1) xy'=1 x'y=0 then x=y'=1, obviously x'y'=0 and xy=0 cause y=0 and x'=0. and (xy'+x'y)'=0 so we have an equality. this way you prove for the other two cases and for the case where (xy'+x'y)=0 which is another three cases.
3. i might not be an astronomer but isn't the centre of our solar system is the sun itself? (regarding your first question).
4. according to my dictionary (an oxford one). grime<=>dirt. this is why i asked what i asked.
5. your last name is really 'grime'?
6. i'm not the expert, but that seems to me to be invalid.
7. sorry but i prefer to talk about the maths and not about the means to convey it via the internet. i guess i should work it out by my own, as allways.
8. what i have typed is: lim a_n+1-a_n/b_n+1-b_n=G
9. what about the first question, any tips there? so far, youv'e encrypted it very well. i don't have time to learn latex, if i had you bet your money i would post by latex.
10. here iv'e got another four questions, any pointers or hints would be appreciated. in the attached doc file. I have four questions about limits.doc
11. okay, forgot to look on monotonic series, thanks for the tip.
12. 1) let a1,b1>0 b_n+1=sqrt(a_n*b_n) a_n+1=(a_n+b_n)/2 prove the existence of lim an as n->inf and lim bn as n->inf, and prove that they are equal? i figure i need to use epsilon ofcourse but the problem is with N, what its quantity should be with regard to epsilon and the variables here. thanks in advance.
13. i know of devcc++, but i think it will suffice. i need to get on with progress and not think of the past, thank you.
14. no, it isn't. but i appreciate the effort.