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§ion=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
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}...
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 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...