Recent content by i_emanuel

The only person that can truly judge your commitment to science is you, instead of comparisons, tell us what are working on right now? is there a subject that truly captures your attention and passion to the extent of selfless dedication? perhaps it is your soul which needs guidance, good luck :)

I think I wasn't explicit enough, but now I've succesfully solved my own troubles; I am treating this as an Inverse Scattering Transform on a non linear homogenous partial diff. with respect to frequency

Cheers I am currently studying non-linearity properties of hydrodynamic waves from a purely mathematical stance. At the moment, I am concerned with radiation, modulational instability described by korteweg-De Vries equation (fifth order) and Spatial Instabilities and chaos in a high order...

echo.

wholeheartedly agree with this.

Thanks so much, I am currently visiting my parents. And have felt a bit nostalgic, I read over my teacher reviews and got depresssed (my senior year was the worst), I have no idea how I got an IB Diploma. I was a terrible student. One of my professors (Chemistry PhD from Cambridge) said: 'it is...

My advice is to live a little during the summer you only get to live once.

What I am trying to do is prove mathematically the existence of vector fields on open subsets of \textbf{R}^{n}. Assuming the tangent space and vector fields lie on differentiable manifold M. Identifying these vector fields would allow me to start defining the tangent vectors on the manifold...

I have another question though: How can I verify the lie bracket of two vector fields on a manifold using the method you transcribed?

check out David Bohm's recorded conversations (I forget the name) w/ Jiddu Krishnamurti. Then read up David Bohm's 'On Dialogue' and my favorite, 'On Creativity'. Have fun! :)

hi all, A little bit about myself: I am a sophomore at a small private university. I am about to finish my last quarter. My major is Physics and Mathematics. I plan on moving back home: Florida, to pursue a Computer Engineering degree. I am 25 years old. I graduated from a good High...

Hi, I will try to help you out :) Lets consider an n-dimensional Euclidean space E_{n} and by means of abstraction we develop the algebra of general affine tensors. An orthonormal system e_{j} in E_{n} consists of n mutually orthogonal unit vectors. Any orthonormal system...

oh, thank you, I believe I got incredibly confused by trying to relate the 0-forms to any p-form. e.g: let's say i have a linear map D: \Lambda^{p}U \rightarrow \Lambda^{p+d}U if I were to take a graded derivation of \Lambda\U of degree d \in Z if it satisfies, D(\varphi \wedge \Psi ) = (...

If we have vect (u) which denotes an infinite-dimensional vector space of all vector fields on u. As infinitesimal elements of the continuous group of Diff(u) they form a Lie Algebra. We then can define the bracket of two vector fields in v and w. If in coordinates: v = \sum_{i}V i...