Simplex (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Simplex" in English language version.

refsWebsite

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4doi.org

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3jstor.org

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2books.google.com

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1stanford.edu

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1tripod.com

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1oeis.org

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1arxiv.org

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1wolfram.com

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1oregonstate.edu

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1handle.net

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1semanticscholar.org

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1web.archive.org

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1hp.com

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arxiv.org

Yunmei Chen; Xiaojing Ye (2011). "Projection Onto A Simplex". arXiv:1101.6081 [math.OC].

books.google.com

Boyd & Vandenberghe 2004 Boyd, Stephen; Vandenberghe, Lieven (2004). Convex Optimization. Cambridge University Press. ISBN 978-1-107-39400-1. As PDF
Lee, John M. (2006). Introduction to Topological Manifolds. Springer. pp. 292–3. ISBN 978-0-387-22727-6.

doi.org

MacUlan, N.; De Paula, G. G. (1989). "A linear-time median-finding algorithm for projecting a vector on the simplex of n". Operations Research Letters. 8 (4): 219. doi:10.1016/0167-6377(89)90064-3.
A derivation of a very similar formula can be found in Stein, P. (1966). "A Note on the Volume of a Simplex". American Mathematical Monthly. 73 (3): 299–301. doi:10.2307/2315353. JSTOR 2315353.
Parks, Harold R.; Wills, Dean C. (October 2002). "An Elementary Calculation of the Dihedral Angle of the Regular $n$ -Simplex". American Mathematical Monthly. 109 (8): 756–8. doi:10.2307/3072403. JSTOR 3072403.
Donchian, P. S.; Coxeter, H. S. M. (July 1935). "1142. An n-dimensional extension of Pythagoras' Theorem". The Mathematical Gazette. 19 (234): 206. doi:10.2307/3605876. JSTOR 3605876. S2CID 125391795.

handle.net

hdl.handle.net

Wills, Harold R.; Parks, Dean C. (June 2009). Connections between combinatorics of permutations and algorithms and geometry (PhD). Oregon State University. hdl:1957/11929.

hp.com

hpl.hp.com

Vondran, Gary L. (April 1998). "Radial and Pruned Tetrahedral Interpolation Techniques" (PDF). HP Technical Report. HPL-98-95: 1–32. Archived from the original (PDF) on 2011-06-07. Retrieved 2009-11-11.

jstor.org

A derivation of a very similar formula can be found in Stein, P. (1966). "A Note on the Volume of a Simplex". American Mathematical Monthly. 73 (3): 299–301. doi:10.2307/2315353. JSTOR 2315353.
Parks, Harold R.; Wills, Dean C. (October 2002). "An Elementary Calculation of the Dihedral Angle of the Regular $n$ -Simplex". American Mathematical Monthly. 109 (8): 756–8. doi:10.2307/3072403. JSTOR 3072403.
Donchian, P. S.; Coxeter, H. S. M. (July 1935). "1142. An n-dimensional extension of Pythagoras' Theorem". The Mathematical Gazette. 19 (234): 206. doi:10.2307/3605876. JSTOR 3605876. S2CID 125391795.

oeis.org

Sloane, N. J. A. (ed.). "Sequence A135278 (Pascal's triangle with its left-hand edge removed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

oregonstate.edu

ir.library.oregonstate.edu

Wills, Harold R.; Parks, Dean C. (June 2009). Connections between combinatorics of permutations and algorithms and geometry (PhD). Oregon State University. hdl:1957/11929.

semanticscholar.org

api.semanticscholar.org

Donchian, P. S.; Coxeter, H. S. M. (July 1935). "1142. An n-dimensional extension of Pythagoras' Theorem". The Mathematical Gazette. 19 (234): 206. doi:10.2307/3605876. JSTOR 3605876. S2CID 125391795.

stanford.edu

web.stanford.edu

Boyd & Vandenberghe 2004 Boyd, Stephen; Vandenberghe, Lieven (2004). Convex Optimization. Cambridge University Press. ISBN 978-1-107-39400-1. As PDF

tripod.com

jeff560.tripod.com

Miller, Jeff, "Simplex", Earliest Known Uses of Some of the Words of Mathematics, retrieved 2018-01-08

web.archive.org

Vondran, Gary L. (April 1998). "Radial and Pruned Tetrahedral Interpolation Techniques" (PDF). HP Technical Report. HPL-98-95: 1–32. Archived from the original (PDF) on 2011-06-07. Retrieved 2009-11-11.

wolfram.com

mathworld.wolfram.com

Colins, Karen D. "Cayley-Menger Determinant". MathWorld.