Astria

Prove that x^(logy) = y^(logx)

Prove by induction that 1+3+9+...+3^(n-1) = (3^n -1)/(3 - 1).

Find 2 functions f(n) and g(n) such that neither f(n) nor g(n) tends to a limit as n tends to infinity, but both f(n)+g(n) and f(n)/g(n) do tend to a limit.

Seriously, I have no idea at all.

Does the infinite sum 1 + 1/2 + 1/3 + 1/4 + 1/5 + … + 1/n + … have a finite

limit? Prove your answer.

Prove x^(log y) = y^(log x).

I have done till x^(log y) = log (x^y) = y (log x), but i can't proceed any further.

what's the difference between forward referencing and the before() member function of typeid (eg typeid(x).before(typeid(y)))

Analyze the following algorithm efficiency and define its big-O notation.

function fib(n)

if n < 1 then

return n

else

return fib(n-1)+fib(n-2)

end if

end function

where n = 1, 2, …, n, and F(X) is a polynomial of degree n-1.

i ve proven that it works for n = 1, but can't proceed on...

assuming k is true,

X^k - 1 = (X - 1) F(k - 1)

thus for (k + 1),

X^(k + 1) - 1 = (X - 1) F(k + 1 - 1)

(X^k * X) - 1 = (X - 1) F(k)

= X^(k + 1) - X^k

i am currently looking to build a new AMD system...

i'll be using a Biostar TA790GX XE mobo and DDR2 800MHz RAM...

however i am undecided on which CPU to use...

Athlon 5000+ BE and OC??

Athlon 5600+??

Athlon 6000+??

the system is not for gaming... mainly for Internet, BT, media center and stuff

thx

Using a typical element argument, prove that "if A is a subset of B then A union C is a subset of B union C".

pls help...

thx

Using a typical element argument, prove that "if A is a subset of B then A union C is a subset of B union C".

pls help...

thx

Using a typical element argument, prove that if A ⊆ B then A∪C⊆B∪C.

Anyone can help me??

Thx

i ve got a copy of Vista from windows market place (boot.wim, install.wim and X13-49121.exe). however, when i extract the files, it prompts a message, saying "Cannot extract Windows Vista setup to your hard drive."

However, i ended up with 1 Vista folder that is 3.56GB large with 605 files inside. Is this alright to burn to DVD and install?

I have the following setup:

P4 2.4B GHz (Northwood-B, 533MHz, 512KB L2 cache)

MSI MS-7031 (ATi Radeon 9100 IGP + ATi SB300)

DDR400 256MB*2

ATi Radeon 9550 128MB DDR by Asus

Hitachi 250GB SATA2 HDD 8MB cache 7200rpm

LG Super-Multi DVD Drive PATA

Win XP Pro SP2

thing is, XP can be installed properly,but it will either hang at the login screen, or 5 sec after i ve logged in. i ve tried using different sets of RAM (tried 3 pairs) but it remains the same. plugged the hdd to another computer and it ran fine... now i am really unsure wat is the problem here. hope someone can enlighten me

thx in advance

i ve the following system:

Intel P4 2.4B GHz (533MHz, 512KB L2 cache)

MSI MS-7031 (ATi Radeon 9100 IGP + ATi SB300)

DDR400 256MB x2

ATi Radeon 9550 128MB DDR by Asus

Hitachi 250GB SATAII 7200rpm 8MB cache

LG DVD Super-Multi Drive

Genuine Microsoft Windows XP Pro SP2

everything was fine until today, it suddenly bsod, but it was too fast for me to catch the error message...

so i decided to reformat it and reinstall XP... it's cool after the installation

i started installing the drivers, again everythings cool...

now the problem comes, after restart, i can login as per normal, my desktop is loaded, the login music is played, but within 5 sec, the whole computer hangs...

uninstalled all the drivers, but the 5 sec problem persist, so i reformat again, but the problem is still here..

anyone out there can suggest wat is the exact problem???

thx in advance

got a laptop recently, and is running Vista Home Premium... everything was fine until the lasat 2 days... i was installing office 2007 on it, but somehow, an error occured... thus i cancelled the installation, which requires me to use end process in task manager... after restarting the laptop, i found out that it is slower than it was to be (eg takes time to load the content in a folder/thumb drive...), at startup the hard disk led blinks for quite some time (>1min), and after that there's a lot of unexplained hard disk activity... such activity lasts for abt 5 sec and takes place every 3 sec, even when it is idle... anyone out there knows what happened to my laptop??

BenQ JoyBook S41

Intel Core 2 Duo T7100

Intel G965M chipset

2x1GB DDR2 667MHz RAM

Nvidia GeForce 8600M GS 256MB GDDR3

Hitachi 120GB HDD SATA 8MB cache

Windows Vista Home Premium