Expressions Definition and 322 Threads

I have to show that for a van der Waals gas the critical temperature, volume and pressure are given by: T_c= \frac{8a}{27bR} V_c= 3nb p_c= \frac{a}{27b^2} I started off this way: Van der Waals states that for a non ideal gas the pressure is: P = \frac{nRT}{V-nb} - a...

I'm trying to create a sieve (prime sieve). A nice quick simple one using boolean expressions. I remember on Visual Basics it began by creating like X number of boolean variables and then sieve them out by classifying them as false... and so on. How to a create a large group of boolean...

This is a question I have to do for tomorrow \frac{1+4x+4x^2}{x}\times\frac{3x^4}{12x^2-3}. I just factor the tops and then cancel where I can. This is what I came up with: \frac{3x^4}{12x^3-3x} But the answer key says: \frac{x^3(1+2x)}{2x-1} What have I done wrong?

what langugage?? grammar #1: S->(L)|a L->L,S|S what language does this grammar generate? some strings generated by this grammar r (a,a), (a,(a,a))... grammmar #2: bexpr->bexpr or bterm| bterm bterm-> bterm and bfactor| bfactor bfactor-> not bfactor| (bexpr) | true | false is...

Hi I got a question regarding a matrix expression: Let X \in Mat_{n,n} (\mathbf{F}) . Then I'm suppose to show AX = XA for all A \in Mat_{n,n} \mathbf{(F)} if and only if s \in \mathbf{F} What is the best way of going about this? /Fred

I thought I knew what I was doing (because I've done this before) but I can't see what's happening in this one example...I understood what was going on right up until the last step. If you are dividing two rational expressions, flip the second expression and multiply the two rational...

What is the cantor expansion of: A. 2 B. 7 C. 19 D. 87 E. 1000 F. 1,000,000 The algorithm to solve these small problems is the most difficult for me. The algorithm that I came up with states: Asub(n) N! + Asub(n-1) (n-1)! +...+ Asub(2)2! + Asub(1)1!, where Asub1 is an integer with...

Right now in math class we are learning rational expressions. Since I am in an advanced math class, it seems like we learn a new lesson everyday. So if you don't understand something, you pretty much need to teach yourself. I don't really understand rational expressions, so can someone tell...

I was wondering if someone could check these questions to make sure that I am doing these correctly. I have attached a few questions in word document as I could not type it properly on here.

Evalulate, leaving the answer as a fraction: a) \left(\frac{4}{9}\right)^\frac{3}{2} b) (-27)^-^\frac{1}{3} Please Help. Thanks

hi i have a small problem. i need to prove that these two expressions are equal : (n*Sum{i=1,n}Xi*Yi - Sum{i=1,n}Xi*Sum{i=1,n}Yi)/(n*Sum{i=1,n}(Xi)^2 - (Sum{i=1,n}Xi)^2) and the expression : (Sum{i=1,n}(Xi)*(Xi*Y^ - Yi*X^))/(Sum{i=1,n}((Xi)^2 - (x^)^2 )) here is x^ and y^ the...

Considering the following equilibrium reaction A(g) \longleftrightarrow 2B(g) + C(g) And the question: When 1.00 mol of A is placed in a 4.00 L container at temperature t, the concentration of C at equilibrium is 0.050 mol/L. What is the equilibrium constant for the reaction at...

can somebody tell me how many decimals places for this question and tell me if i am doing this right 1. Calculate a value for the expression p=a^-2 a=27.3 +- 0.05 metres ( the plus and minus symbol is on top of each other) b) calculate the maximum error in your answer this...

Ok I have to find the Lowest Common Denominator for 3 ration expressions. I don't think the numerators are important so Ill just leave them out. The denominators are x^2 - 4 and x -2 I got the LCD as x-2. correct? When finding the LCD in expressions like this you just have to factor...

Hi all, Doing a graduate QFT course. We've been looking at the bilinear expressions involving the adjoint spinor and the gamma matrices and how the various combinations transform as scalars, vectors etc. My question is this: Other than just appreciating the fact that various...

Can anyone tell me how I can write mathematical expressions here. I read the 'LateX crash course'. See what happens. [tex] a^2 + b = sqrt {c}[\tex] What am I doing wrong? regards, Gamma.

If i have something like (6/x+2) + (8/x+3) how to i do that? aren't i supposed to invert and multiply or something, thanks --Val

state the vertical asymptote(s), x-intercept(s), y-intercept(s), domain and range of f(x)=(1)/(4x^2)-1 ok I factored the denominator and got (2x+1) (2x-1) I solved for x, so the x-intercepts are x=-1/2, and x=1/2 for only (4x^2)-1 the reciprocal function has no x-intercepts. Sub in x=0 to...

1) (-7+20)(-10-3i) 2) (-2-5i)/(3+4i) I don't think I did these two questions right does anyone know how?

just like there is a coding to write proper equations in this forum does anyone know a computer program that can do the same so that i can implement it into word documents?

Hi everybody! I'm looking for a good \LaTeX editor... I'm primarily looking for an application where text and styles are WYSIWYG, but mathematical expressions are written using latex. I tried LyX, but didn't really like the one... I'm currently using TeXnicCenter, which has a few to many bugs...

Could some one please explain to me, in the simplest way possible and withought lots of mathematical jargon, what expressions such as SU(2), O(3), E(8) etc. mean? I think they all have something to do with rotation (although I could be completely wrong). Thanks.