Term Definition and 775 Threads

I forgot a little detail in the integration by parts formula Is it \int u \,dv = uv + or - \int v \,du I don't remember if its plus or minus...

I've got a very tricky question on my hands. A set of integers are grouped as follows (1), (2,3,4), (5,6,7,8,9),..., until the nth bracket. I have found the total integers in the first (n-1) brackets and it is (n-1)^2 . The next part of the question is to show that the first number...

I need help determining the explicit formula and writing the series in sigma notation with a specified lower limit. In both of them, I cannot tell where one term ends and the other begins, or what to do when the sign changes. Series #1 - 2 - 5 - 8 - 11 - 14 - 17 - 20; lower limit = 3...

Is there a term for a function from a set to itself? It would be handy.

I'm trying to get an expression for the nth term in this series: c_1 = 1 c_n = \sum_{k=1}^{n-1} \frac{c_n}{(n-k)!} For example: c_2 = 1/1! = 1 c_3 = 1/2! +1/1! = 3/2 c_4 = 1/3! + 1/2! + 3/(2\cdot 1!) = 13/6 etc. Since the factor in front of each term is different in each...

Does the term "friction" mean (or imply) that there are lateral forces acting between two surfaces? I'm not so much interested in measuring the forces of friction as I am in understanding the meaning of the term. I hope my question is clearly stated. Thanks, Charles

Is there a commonly used single term that describes a star and all of its associated bodies including its planets, asteroids, comets, Kuiper Belt and Oort Cloud? If not, what is the most acceptable and shortest way of describing this structure?

Can some one explain how rainbow are form in term of photon. and also how photon are related into frequency.

Hello. I've been having such a hard time thinking of the general term of this "Sequence". Actually, I'm not even sure if this is a sequence at all, but it looks like it can be simplified into one summation symbol. \frac{-2}{6}, \frac{-20}{120}, \frac{-1080}{5040}, \frac{-140400}{362880}, ...

find the sum of the first 9 terms in the series 9+11+13+15+17+19+... is the 9 t0 or t1? what is the 9th term? ...21+23+25+27 25 or 27??

Thank god! I don't know what happened, it's over already and I feel like I still have to learn everything. With only quantum and calculus exams remaing, I cannot wait until Christmas. Anyway, to make this homework related I was wondering how much time you guys spend on homework. (just...

Please see the attachment Can anyone tell me why the bracketed term = 0 if c does not equal and integer multiple of q/r ... Thanks :(

Who do you think will most likely be the next Republican running for president and why? Who do you think will most likely be the next Democrat running for president and why?

"Review of Cosmic Vision 2015-2025" begins: "The Cosmic Vision workshop at UNESCO on 15-16 September 2004 showed that Europe is richer than ever in ideas for what should be done in space science in the coming years. This workshop brought us a major step forward in developing the vision of the...

I realize that a physics website isn't the most applicable place for asking this question, but there are so many people here with a wide variety of knowledge that I'm hoping maybe someone could lend me some advice. I am going to be writing a term paper for an English Comp. class in a few...

How do you find the 3rd term of the expansion of (2x-y)^5

Don't you think "troll" is such an overused word on the internet? You say something someone doesn't agree with, and they accuse you of being a troll. It's used as an insult. Trolls use the word "troll". I think the person who invented that word should think about the damage he...

In our labs we often need to find the error percent between the expected value and the measured value. So if we expected to get a value of 9.8 m/s2 for g but got 9.9 m/s2 instead, we say that the error was (9.9 - 9.8)/9.8 % = 1.02%. But what happens if we expect a value of 0 for something, and...

using the sin and cos Maclaurin series, validate each of them using at least 3 values for x and determine how many terms are needed to provide reasonable accuracy. Find the General Term (Tn where n = 1, 2, 3, ...) for each expression and show that each correctly generates the terms of the...

Could I have an explanation on the term calculus maths? The exact meaning of this is a bit vague to me and in Norway we do not use this name for this type of math, whatever it is. Thank yous

The first four terms in an arithmetic sequence are x+y, x-y, xy, x/y, in that order. What is the fifth term? Can anyone show me how to do it? O btw, the fifth term is a number, is not a variable Thx

For visual basic I need to write a term paper on any topic in computer science that is in depth enough to last four pages. Any interesting ideas?

I once read a very good explanation for the n! factor in the combinations formula but I can't find it. Can someone state the reason for it clearly please. ( N) = N!/n!/(N-n)! ( n) The N!/(N-n)! comes about because there are that many ways to choose n things from N. N for the first...

is there such a term as centrifugal force? what exactly is it??

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