User talk:Lavaka

Hi, Lavaka, Welcome  to Wikipedia! I hope you like this place &mdash; I sure do &mdash; and want to stay. Before getting too in-depth, you may want to read about the Five pillars of Wikipedia and simplified ruleset. If you need help on how to title new articles check out the naming conventions, and for help on formatting the pages visit the manual of style. If you need help look at Help and the FAQ, plus if you can't find your answer there, check the Village Pump (for Wikipedia related questions) or the Reference Desk (for general questions)! There's still more help at the Tutorial and Policy Library. Plus, don't forget to visit the Community Portal. And if you have any more questions after that, feel free to post them on my user talk page or place  on your talk page and someone will be by to help you shortly. ---

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"See also" section
Hello, and also a warm welcome from me. I came across some of your contributions to the mathematics pages, leading me to think that you might be interested in WikiProject Mathematics.

I was prompted by your edit to Circulant matrix to draw your attention to some of the more obscure customs on Wikipedia. The "See also" section should only contain link to articles which are not mentioned in the text. Ideally, all related articles are already mentioned and thus there is no need for a "See also" section (see Guide to layout for the official version). Incidentally, we don't like capitals here and we write "See also" instead of "See Also" (see Manual of Style (headings)).

Don't worry too much about it, nobody knows all the rules. Feel free to ask me if you have any questions. I hope to see you around, and that you enjoy Wikipedia.

All the best, Jitse Niesen (talk) 07:31, 6 October 2006 (UTC)

DCT
Regarding the comment you left on my Talk page, the image and text in the DCT article are correct as-is. The DCT-II is equivalent to a real-even DFT of length 4N consisting of the original DCT data mirrored and interleaved with zeros. The DCT-III is equivalent to a real-even DFT of length 4N consisting of the original DCT data mirrored twice (once with flipped sign), and no interleaved zeros (except for a couple of inserted zero points at the odd-symmetry points).

—Steven G. Johnson (talk) 20:19, 26 January 2008 (UTC)

Bessel function closure relation
Can you clarify your comment about this equation 'not existing as an integral relation'?


 * $$\int_0^\infty x J_\alpha(ux) J_\alpha(vx) dx = \frac{1}{u} \delta(u - v)$$

Does this mean there is no rigorous form of

$$\int_{-\infty}^{\infty} e^{i k x} dx = 2\pi\delta (k)$$ either? Metterklume (talk) 04:10, 4 March 2009 (UTC)

Real normal matrices
Hi Lavaka, re your changes to Eigendecomposition of a matrix, a real normal matrix need not have N linearly independent real eigenvectors -- consider a rotation by 90° in $$\mathbb{R}^2$$. Your edited version is incorrect as it stands; it says that this rotation can be decomposed with a real $$\mathbf{\Lambda}$$, which is clearly wrong. I believe the section about symmetric matrices was meant to be about what happens when you work in $$\mathbb{R}^n$$ (where there are no complex eigenvectors), so I reverted your edit and instead changed "has N linearly independent eigenvectors" to "has N real linearly independent eigenvectors" -- hope that's ok. Benja (talk) 18:43, 10 June 2010 (UTC)

Semidefinite and linear optimization
In convex minimization computations, semidefinite programming (SDP) extends linear programming. However, in convex analysis theory, semidefinite programming is a special case of linear programming on a vector space; this is discussed in Borwein & Lewis's textbook (chapter 4.5, if my memory is correct) and in Nesterov & Nemirovskii's monograph.

Since abstract linear programming would interest few WP readers, I agree that semidefinite programming best belongs in the convex minimization section of the footer.

Best regards, Kiefer.Wolfowitz (talk) 22:32, 9 December 2010 (UTC)


 * great, agreed then on the move. I wouldn't really say that semidefinite programming is a special case of linear programming on a vector space; rather, I would say that it is a special case of cone programming, using the semidefinite cone (where as linear programming using the positive orthant cone). Lavaka (talk) 22:40, 9 December 2010 (UTC)

Disambiguation link notification for April 7
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Disambiguation link notification for October 9
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 * Projections onto Convex Sets (check to confirm | fix with Dab solver)
 * added links pointing to Converge, Projection, Intersection, Convex and Closed

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ArbCom elections are now open!
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