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1. What does ∏ mean and how can i use it?

What makes them disjoint? Is that because each A sub i set is mapped to a different i?
2. Existence of the Square Root Proof

I know this is binomial trickery but I just don't see it. Any ideas?
3. Existence of the Square Root Proof

Now I'm lost again. We are trying to prove that the LUB^2 (LUB=b) cannot be any other value but a. From this point on I don't follow the proof at all. For instance to test if LUB^2>a he sets a number c=b-(b^2-a)/(2b). Where did that come from?
4. Existence of the Square Root Proof

This book never ceases to make me feel stupid. Thanks Micro for making that clearer.
5. Existence of the Square Root Proof

I was playing trying to work through a proof in Apostol's Calculus and can't quite understand a step noted. This is from chapter 3, theorem 1.35. Every nonnegative real number has a unique nonnegative square root. The part where you are establishing the set S as nonempty so you can use LUB it...
6. Failed to graduate but landed a full time job

Let me give you a word of advice. I just went through a long vetting process for a new job I am taking. Once I signed a disclosure they, ran my credit, verified my degree, checked references and confirmed dates of employment not only with them but with social security records, and drug tested...

No, I would work 2 weeks then take the week off.

I have been working at my current employer for about a year. About 9 months into the job things had changed and I decided that this was not the right place for me long term. So for I've been on and off looking around for other employment and finally something broke for me. I was given a job...
9. Schools College is reserved for intellectuals?

College above most else is about developing your ability to learn. That skill no matter what your major will be used the rest of your life.
10. Can someone say me what is the advantage of

What exactly is the application? The main reason you would choose to go with an angular contact is if significant thrust loads are involved. The back to back <> would accomidate thrust loads moving in both directions where the >> is normal for just one. Double row bearings do have similar...
11. Can someone say me what is the advantage of

Are you talking about the preload or contact angle with angular contact bearings? What is the application?
12. Treatment of Inequalities

I've been playing around with some proofs and find myself relearning how I do my mathmatical thinking. Just a general question regarding how to handle something like this. 0<a<b So a and b must be positive a/2 <b I just divided one side by two instead of "dividing through" like you...
13. News The Case for Small Government

This all sounds like a really good case for zero based budgeting. There is no reason why a department (at least every few years) must rejustify every dollar being allocated to it. With regards to entitlements, I believe the very same concept could be applied there as well.
14. How do you get in the loop?

I would say this is absolutely the biggest plus to any job search. Get out there and don't be affraid to meet people. You would be supprised how many opportunities come through networking. Even if you meet someone who can't help you that very moment, the world is very small. This is also why...
15. Craft Beers, Microbreweries and Homebrewing

Yep, summer and winter. Someday I'll live somewhere with seasons.
16. Craft Beers, Microbreweries and Homebrewing

I have to contribute my couple of cents with some of my favorite Texas beers. Real Ale Brewing Blanco, TX My favorite, Fireman's 4 St. Arnolds Brewery Houston, TX My favorite, Lawnmower and their IPA Shiner Shiner, TX Although not a microbrew, I do enjoy pretty much...
17. News Nationalization of Energy Production

The argument "it's needed, so we shouldn't have profit in it" can be extended to a whole host of things, such as food, water, and housing.
18. Is modern banking fraud?

Just for FYI here, if a bank has 100 dollars in cash deposits it simply cannot lend 1000 dollars out. It's not that simple. Banks are required to meet very strict capitalization requirements set by the FED. Riskier investments (bank assets) do not hold the value as a pecentage when...
19. What is the Federal Reserve?

The FED's power resides in its ability to influence interest rates and market liquidity. They can also set the reserve percentage which directly influences how much banks can lend against their capitalization requirements. But, all of these "tools" cannot change the fact that the economy is...
20. X^n<y^n n is odd

Since this is from Spivak chapter 1 I don't think I can use induction. I'm new to proofs and have never used that technique.
21. X^n<y^n n is odd

This problem has been giving me hell. I have used 2k+1 for n and have tried to factor it out giving this (x^{k}x^{1/2}+y^{k}x^{1/2})(x^{k}x^{1/2}-y^{k}x^{1/2}) which is just one big circle because this only yeilds a \sqrt{x^{n}}= \sqrt{y^{n}}. I have even tried using the difference of cubes to...
22. X^n<y^n n is odd

Have not started using induction yet. I am still muddling along with these basic direct proofs. Thanks for the suggestion.
23. X^n<y^n n is odd

Homework Statement x<y x^{n}<y^{n} if n is odd Homework Equations The Attempt at a Solution I am trying to prove this. I understand that if n were even it would eliminate any negatives for negative values of x or y, but how would I go about writing the proof for this. Would I...
24. Life lessons for children: Idealism vs Pragmatism

As someone who has previously raised teens and currently raising small children, your focus will change with time. You tend to be more idealistic when they are younger but move toward a more realistic parenting style as they become more mature. My advice is honestly let your kids questions and...
25. Hell's Kitchen - It's RAW!

I am really disapointed in this season. This is by far the weakest lineup to date. It seems like the producers are running and stoking everything about the show with minimal input from Gordon. I know its always been reality TV but the cooking seems to have taken a back door to the drama...
26. Gainfully Employed

Thanks to everyone for the well wishes! I appreciate it very much.
27. Gainfully Employed

Since I've had so many people here give me words of encourgement during my 5 month stint of unemployment I thought I would announce that has thankfully come to an end. Last Monday I returned to service as an accountant for a contruction company. It has been quite a change for me since all of...
28. Attic Venting to Cool House

It is absolutely miserable here. Me nor the kids will dare venture outside until after 7pm due to the heat and humidity. The AC runs almost non stop unless I shut it down for brief periods during the day. Once the outside temperature is sustained at 90+ F on average (from 11am-6pm), in the...
29. Should I reapply for a missed job?

I have never been affraid of honesty and I much prefer that to just a generic canned answer. I know they had their internal HR working to fill that slot as well. That is the only reason I think salary may have come into play. I have management experience and a proven work history and finished...
30. Should I reapply for a missed job?

Well, it is going on 4 months now since my layoff and I'm starting to feel desperate about finding work. I have been on a few interviews, some through a recruiter and one on a direct application. The last interview I went on through a recruiter went really well but unfortunatly I did not get...
31. Share price's relation to company's financials?

Is there any benefit to owning a car that doesn't run? Not really, but you do own it and can do with it as you see fit. Would I buy a car that doesn't run? No, I would be looking for a car that functions well and delivers measurable utility (gets me to work, ect.). Same with owning a...
32. Share price's relation to company's financials?

A 40% share would be incredibly significant in any major corporation. Major shareholders have the normally (as defined by the articles of incorporation for that company) have the power to elect board members and therefore have a direct influence on who the corporate officers are. Even if the...

34. Share price's relation to company's financials?

You bother to look at the financial statements and any other information to determine if you are buying said commodity at a premium, discount, or par. Your friendly corner store owner would be glad to sell you a package of bacon, but you are paying a premium for it compared to the grocery...
35. Share price's relation to company's financials?

I think I will throw in a couple things here to clarify what exactly the value of any business venture. By the purely financial definition the value of any business is the present value of all of their future net revenues. What a share price should represent is some fraction of that value...
36. News Can Income Tax Rate Hikes Close the Deficit? (interesting article)

There is a big difference between what bracket you fit in and what you actually pay. Also, those are marginal rates not average tax rates so be carefull when doing comparisons. I personally have no problem paying additional taxes when ALL cost cutting measures with regards to spending have...

No, I would assume all 20 for N. The bond issuer still has an interest liability on that date. Let's say you purchase a bond right before the day the coupon payment is due, that almost 6 months worth of coupon payment would be baked into the price you would have to pay for the bond. Whoever...

The wording of the problem is a little confusing but I would venture to guess that the 8% is the coupon rate, and the 10% is the YTM. PMT in your financial program would be (Coupon Rate X Face Value)/2 since it is semi. The I value would be 10%. This should get you started.
39. Hearing a lot of people lost all of their 401ks

Cyrus, for this equity stake you are considering taking, what kind of control are you going to have over operations? Do you really want to become a de facto partner/owner? If you do enter into this partnership be sure your contract is IRON CLAD. Remember, if you become a partner you are fully...
40. Income of a major company?

You can check their Income Statement to get what they reported for Net Income for the first quarter. http://finance.yahoo.com/q/is?s=AAPL You will have to wait till July for the financials for Q2.
41. Finally, a job interview after 2 months!

Well I'm pretty bummed out about this one. Between the two of us I lost out because the other candidate had "more developed experience" in accounting. My IT skills were a plus but they decided that I was too green to take a chance on I suppose. Thank you to everyone for your kind words...
42. Finally, a job interview after 2 months!

Good news, I got to the second interview. Now I get to sit down with the Controller and the President. It's between me and one other bean counter. Hopefully between my skills and natural charm I can win this one!:smile:
43. Finally, a job interview after 2 months!

It's about 30 miles from my house but my last job was about 25 so commuting is not that big a deal. Life in sales forces you do a lot of driving so I'm use to it.
44. Finally, a job interview after 2 months!

Well for anyone looking for a job right now I wanted to let them know to not give up all hope. After 2 months and a 100 or so resumes I finally had the oportunity to sit down for an interview. It really went well and my IT background along with my accounting degree make me a really good fit...
45. News Offshore oil drilling is safe?

And they just now got Galveston all nice and cleaned up after the hurricane. I guess i'll be skipping going down there for a while. BP will pay heavy, both financially and politically. Unfortunately, this will hurt so many companies that so many will go out of business before any suits are...
46. How much debt can I hope to pay off?

I don't quite understand why you think it is someone elses job to fund your college education and leave you not to worry about it, and why those "big bad" companies have anything to do with you attaining your goals. I would recommend first getting to know the real world just a tad and realize...
47. Accounting vs. Computer Science

I started out as a compsci major before I eventually switched over to accounting and finance. I really enjoyed both and sometimes wished I would have stuck with computer science but I made the choice to change majors based on earning potential after I had trouble finding work as a programmer...
48. Accounting vs. Computer Science

Something you may take a look at if you enjoy both the IT and accounting would be to pursue a CISA certification. It's geared toward IT auditing and may be an option if you enjoy playing with the backend of accounting systems as well as dealing with audits.
49. Waiting for the Ax to Fall

Thank you for the kind thoughts. I appreciate it.
50. Waiting for the Ax to Fall

Thanks for the recommendations. I too find it to be a very relaxing and tasty way to deal with stress.