535:. There was some incorrect information about parity-check matrices that you deleted in one of your edits; I was motivated to try to figure out what it was that the original author had in mind. Since the information I've added concerns the generating matrix rather than the parity-check matrix, that can't have been it, so I'm still in the dark. It may be that the statement "Alternative constructions for the Hadamard code use its parity-check matrix" should be deleted entirely, unless someone can make sense of it.
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tablet", which indicates to me that he doesn't know much about the subject of ancient
Mesopotamian mathematics. It also suggests that the paper was not properly refereed, if indeed it was refereed at all. I would not consider anything in this paper reliable as a reflection of the scholarly consensus on Mansfield's work or on the mathematical significance of Si.427.
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http://books.google.com/books?id=Vj6yS6PsAZYC&pg=PA431&dq=%22Hadamard+matrices,+sequences,+and+block+designs%22&hl=en&ei=5OqFToLVNKro0QGUo8X3Dw&sa=X&oi=book_result&ct=book-preview-link&resnum=1&ved=0CDEQuwUwAA#v=onepage&q=%22Hadamard%20matrices%2C%20sequences%2C%20and%20block%20designs%22&f=false
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I am even more intrigued with finding out the bottom line about the
Klauber mathematical mystery. I have his chart that I was telling you about before out on my desk now---we need to get a photo of it (it is large!) and then maybe send a copy to some math person who could tell us what if anything it
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Part of the problem is that there is too little communication between the engineers and the mathematicians, with the result that the literature of each field has its own terminology. Now quantum computing theorists are working in this area, and are using the terminology differently as well. Now I
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is that the latter already focuses too much on
Sylvester's construction at the expense of other methods for constructing Hadamard matrices. Adding the Walsh matrix material would only make this worse. Also, people interested in only Sylvester or Walsh matrices may not need or want to wade through
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Serdar Beji does not appear to be a historian and his paper is not published in a history journal. Furthermore, the publisher, Scientific
Research Publishing, has engaged in unethical practices numerous times in the past and is considered to be predatory. Beji refers to Plimpton 322 as a "Sumerian
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article, as you suggest) would be a good idea. I'm still undecided about the naming of such an article. If "Walsh matrix" is the common name in the engineering literature, I wouldn't want to step on any toes by renaming it, despite the fact that
Sylvester clearly had priority. I will try to do
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was published at the "Advances in Pure
Mathematics (APM)", an international journal dedicated to the latest advancement of ordered algebraic structures. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new
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could be described as "Take the
Hadamard transform of the received vector and select the largest component." Like "Hadamard code", "Hadamard transform" can be defined for more general Hadamard matrices. But most people are thinking of the Sylvester matrix when they use the term. The Sylvester
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My understanding is that coding theory got started with the work of
Shannon, Hamming, and Golay around 1950 or so. Hadamard's work precedes this by half a century, and was motivated by the derivation of his upper bound on the magnitude of the determinant. He asked whether the bound could be
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with no intervening spaces you shouldn't get a break between the E and the left parenthesis. I'm not sure if your particular issue is browser specific, or not. With which article did you have the problem? Which browser and OS are you using? Or is the problem as simple as breaking at a space?
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Thank you for fixing the issue on the baudhyana sutras. But I have also noticed that the middle part is still uncited and the paragraphs which have citations cannot be entered. Please kindly fix the issue and make sure that the citations can be entered without issue.
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attained by real matrices whose elements were themselves bounded in magnitude (by 1, say). Real ±1 matrices that attain Hadamard's bound are now called Hadamard matrices, although Sylvester had constructed examples 30 years earlier. According to the book
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It must be a browser issue. I'm running Internet Explorer 6.0 on Microsoft Windows XP. Since I'm travelling, I don't have easy access to a variety of machines and browsers on which to test the rendering. The page in which the issue is occurring is
478:" as well. I think someone just wanted to point out that Walsh/Hadamard matrices are different objects than the Hadamard transform. Anyway, this group of articles needs some streamlining. Since you feel that the Sylvester/Walsh-Matrix discussion in
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the more general Hadamard matrix discussion. I think that the Sylvester matrix is a big enough topic that it deserves its own article. But it would be good to indicate clearly that Sylvester matrix and Walsh matrix are the same.
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Sorry for the belated reply. "Sylvester matrix" does indeed appear to be different from "Sylvester's construction of Hadamard matrices". I think that a separate article on Sylvester's construction (perhaps an expansion of the
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signifies in regard to Ulam's spiral. I know it has to do with prime numbers for the simple reason that that is what he wrote on it, but otherwise I am in the dark. It does not show any spiral shapes that I are visible though….
171:), but the second version should not break across two lines (if your browser's working correctly). Oh – there's also an HTML entity   which stands for a "thin space" and also comes in handy in some circumstances.
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When I'm coding formulas in HTML I (usually) take some care to think about breaks at spaces. The non-breaking space character (coded ) is useful for this purpose. For instance, there's a difference between coding
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as you did: the formatting between cite journal and citation is different — mostly in that cite journal. uses. lots of extra. periods. in the middle of the citation. — and it's better to keep the formatting consistent.
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Crystal gazing is a popular pastime and works best when the Sun is at its northernmost declination. Immediately before the appearance of a vision, the ball is said to mist up from within. Common knowledge.
1549:. Just wanted to see what do scholars think. Beji, S. (2022) A Geometric Formulation and a Series Approach for Estimating π with Remarks on a Sumerian Tablet. Advances in Pure Mathematics, 12, 587-599.
1817:. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose
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Which paragraphs specifically lack citations? As far as I can tell most paragraphs have at least one citation and most have more than one. Also, what do you mean by "cannot be entered"?
458:." I think I must be one of the confused people the author of that line was trying to warn. The matrix used in the Hadamard transform article looks exactly like the Walsh matrix to me.
88:. It's very nice. I did notice one little thing, which I'll fix up in just a minute here – in accordance with Knowledge (XXG) style conventions your first sentence really ought to read
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issues and developments in different areas of ordered algebraic structures. The specific paper is supported by 7 references and still you're saying it is not reliable for the
1555:"We consider Si.427 from a different viewpoint and examine its geometric properties rather than its contents by establishing definite ratios or non-dimensional numbers."
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197:) as ‘‘E‘‘(‘‘H‘‘) without spaces. Moving or eliminating the quote marks doesn't alter the behavior. If I go to other pages that use function notation, such as
1662:-- if you look at the article history you'll see that they've been reverting to the same version since at least September 2021. I'll request page protection.
264:? Did he want to develop error-correcting codes? If not, who realized their applicability to error-correcting codes first? Do you know any specific references?
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Thanks for your answers! I'll soon start editing the articles in question appropriately. As for you question, yes, I was confused by "not to be confused with
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Googling a bit turned up some sources that appear to use "Walsh code" interchangeably with "Walsh–Hadamard code", but again, I'm not familiar with this area.
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I can meet up with her next week and get it digitized. In the meantime, if you want to chat via email (she's not on Knowledge (XXG) yet), you can contact me
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were constructed by Bose and Shrikhande in 1959. The reference is: R.C. Bose and S.S. Shrikhande, "A note on a result in the theory of code construction"
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if the total is over 5,000. Finally, if you know of an interesting fact from another recently created article, then please feel free to suggest it on the
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1716:. This is a great rating for a new article, and places it among the top 21% of accepted submissions — kudos to you! You may like to take a look at the
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to Knowledge (XXG)! Thank you for your contributions. I hope you like the place and decide to stay. Here are some pages that you might find helpful:
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In general, browsers won't break to a new line until they hit a space or a new-line character in the rendered text. So if you wrote the formula as
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standard (see bottom of that page for a source)? If not, what is the standard name? Do you have any references for the naming issue here?
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Congratulations, and thank you for helping expand the scope of Knowledge (XXG)! We hope you will continue making quality contributions.
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on talk pages using four tildes (~~~~); this will automatically produce your name and the date. If you need help, check out
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Volume 2, Issue 2, June 1959, Pages 183-194. (doi:10.1016/S0019-9958(59)90376-6) An alternative link to the article is
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describes the Committee's roles and responsibilities in greater detail. If you wish to participate, you are welcome to
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is the code that you get from the rows of Sylvester's Hadamard matrices (to be clear, as opposed to the
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Hi. Thank you for your recent edits. An automated process has detected that when you recently edited
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claim? We're taliking mathematics here. One needs to be a historian for that? Any sources for your
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matrix allows for extra efficiencies in computing the transform, because of its recursive structure.
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just contacted me and said she has the original diagram on her desk. Here's what she wrote me:
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seems to make sense. It would be nice to find some good references for Walsh–Hadamard code.
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http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.154.2879&rep=rep1&type=pdf
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Ordered algebraic structures, seven references—all very impressive. I guess it's legit.
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seems to be the different from Sylvester's construction of Hadamard Matrices, right?
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some searching around in the engineering literature to see what the conventions are.
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Unfortunately I probably cannot answer most of your questions, but I'll do my best.
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It's almost two years later now, but I finally got around to doing this merger of
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in the first sentence of the lead paragraph. Not a big deal, but good to know.
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Since you have made at least 10 edits over more than four days, you can now
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Hi Will. figured I'd just abuse your talk page on this. Margi Dykens at the
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is already too large, why not move all but the essentials about this to
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parameter to the cite journal. But in that case it was better to use
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by Assmus and Key, the (non-linear) Hadamard codes described in
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77:, ask me on my talk page, or ask your question and then place
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seems to be the same as Sylvester's constructions. Should
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that is deeper than the mere fact that they both involve
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before the question on your talk page. Again, welcome!
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I've just added a bit to the "Construction" section of
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In other words, the article's title ought to appear as
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The IP editor doing the revisions is an LTA account
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The nomination discussion and review may be seen at
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article, one sees the line "Not to be confused with
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Contemporary Design Theory: A Collection of Surveys,
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Do you have a reference on the relation between the
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189:. I typed
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