Recent content by typhoonss821

Hey guys, How can I proove the cardinal number of R is equal to the cardinal number of {x|0<x<1}?? Thanks~~~

Hello Could anyone tell me if the a, b in van de Waals equation can be calculated in theory? http://en.wikipedia.org/w/index.php?title=Van_der_Waals_equation&action=edit&section=1

polar set... Excuse me for my poor Latex ability. I type my question in WORD. The follow is the URL of the problem... http://img714.imageshack.us/img714/8185/matht.jpg

Yes I have, but I don't know how to relate it to determinant...

Hello everyone, I am stuck when I study Levi-Civita symbol. The question is how to prove \varepsilon_{ijk}\varepsilon_{lmn} = \det \begin{bmatrix} \delta_{il} & \delta_{im}& \delta_{in}\\ \delta_{jl} & \delta_{jm}& \delta_{jn}\\ \delta_{kl} & \delta_{km}& \delta_{kn}\\ \end{bmatrix}...

Could you explain why an invertible linear operator can't send orthonormal basis to orthonormal basis?

I have a question about the invertibility of a linear operator T. In Friedberg's book, Theorem 6.18 (c) claims that if B is an orthonormal basis for a finite-dimensional inner product space V, then T(B) is an orthonromal basis for V. I don't understand the proof, I think the book only...

I have a question about the rank of adjoint operator... Let T : V → W be a linear transformation where V and W are finite-dimensional inner product spaces with inner products <‧,‧> and <‧,‧>' respectively. A funtion T* : W → V is called an adjoint of T if <T(x),y>' = <x,T*(x)> for all x in V...

One of Maxwell's equations says that \nabla\cdot\vec{B}{=0} where B is any magnetic field. Then using the divergence theore, we find \int\int_S \vec{B}\cdot\hat{n}dS=\int\int\int_V \nabla\cdot\vec{B}dV=0 . Because B has zero divergence, there must exist a vector function, say A...

I think Div, Grad, Curl, and All That by H.M Schey is good for beginners ^^

really appreciate^^

I recently teach myself linear algebra with Friedberg's textbook. And I have a question about adjoint operator, which is on p.367. Definition Let T : V → W be a linear transformation where V and W are finite-dimensional inner product spaces with inner products <‧,‧> and <‧,‧>' respectively...

hallow everyone i am a tenth-grade student in Taiwan.What i want to know is that how to proove the curvature at point (a,(f(a))(assume f(x) is smooth at this point) is f"(a)/(1+f'(a)^2)^(3/2)) i've thought this way:consider a circle first in this circle the curvature at point P is lim...