Izometrie (Romanian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Izometrie" in Romanian language version.

refsWebsite

Global rank Romanian rank

2^nd place

3^rd place

207^th place

281^st place

451^st place

697^th place

26^th place

69^th place

4^th place

low place

ams.org

en Beckman, F. S.; Quarles, D. A., Jr. (1953). „On isometries of Euclidean spaces” (PDF). Proceedings of the American Mathematical Society. 4 (5): 810–815. doi:10.2307/2032415 . JSTOR 2032415. MR 0058193.
Let $T$ be a transformation (possibly many-valued) of $E^{n}$ ( $2\leq n<\infty$ ) into itself.
Let $d(p,q)$ be the distance between points $p$ and $q$ of $E^{n}$ , and let $Tp$ , $Tq$ be any images of $p$ and $q$ , respectively.
If there is a length $a$ > 0 such that $d(Tp,Tq)=a$ whenever $d(p,q)=a$ , then $T$ is a Euclidean transformation of $E^{n}$ onto itself.

en Beckman, F. S.; Quarles, D. A., Jr. (1953). „On isometries of Euclidean spaces” (PDF). Proceedings of the American Mathematical Society. 4 (5): 810–815. doi:10.2307/2032415 . JSTOR 2032415. MR 0058193.
Let $T$ be a transformation (possibly many-valued) of $E^{n}$ ( $2\leq n<\infty$ ) into itself.
Let $d(p,q)$ be the distance between points $p$ and $q$ of $E^{n}$ , and let $Tp$ , $Tq$ be any images of $p$ and $q$ , respectively.
If there is a length $a$ > 0 such that $d(Tp,Tq)=a$ whenever $d(p,q)=a$ , then $T$ is a Euclidean transformation of $E^{n}$ onto itself.
en Roweis, S. T.; Saul, L. K. (2000). „Nonlinear Dimensionality Reduction by Locally Linear Embedding”. Science. 290 (5500): 2323–2326. CiteSeerX 10.1.1.111.3313 . doi:10.1126/science.290.5500.2323. PMID 11125150.
en Zhang, Zhenyue; Zha, Hongyuan (2004). „Principal Manifolds and Nonlinear Dimension Reduction via Local Tangent Space Alignment”. SIAM Journal on Scientific Computing. 26 (1): 313–338. CiteSeerX 10.1.1.211.9957 . doi:10.1137/s1064827502419154.

en Beckman, F. S.; Quarles, D. A., Jr. (1953). „On isometries of Euclidean spaces” (PDF). Proceedings of the American Mathematical Society. 4 (5): 810–815. doi:10.2307/2032415 . JSTOR 2032415. MR 0058193.
Let $T$ be a transformation (possibly many-valued) of $E^{n}$ ( $2\leq n<\infty$ ) into itself.
Let $d(p,q)$ be the distance between points $p$ and $q$ of $E^{n}$ , and let $Tp$ , $Tq$ be any images of $p$ and $q$ , respectively.
If there is a length $a$ > 0 such that $d(Tp,Tq)=a$ whenever $d(p,q)=a$ , then $T$ is a Euclidean transformation of $E^{n}$ onto itself.

en Roweis, S. T.; Saul, L. K. (2000). „Nonlinear Dimensionality Reduction by Locally Linear Embedding”. Science. 290 (5500): 2323–2326. CiteSeerX 10.1.1.111.3313 . doi:10.1126/science.290.5500.2323. PMID 11125150.

en Zhang, Zhenyue; Wang, Jing (2006). „MLLE: Modified Locally Linear Embedding Using Multiple Weights”. Advances in Neural Information Processing Systems. 19. It can retrieve the ideal embedding if MLLE is applied on data points sampled from an isometric manifold.

en Roweis, S. T.; Saul, L. K. (2000). „Nonlinear Dimensionality Reduction by Locally Linear Embedding”. Science. 290 (5500): 2323–2326. CiteSeerX 10.1.1.111.3313 . doi:10.1126/science.290.5500.2323. PMID 11125150.
en Zhang, Zhenyue; Zha, Hongyuan (2004). „Principal Manifolds and Nonlinear Dimension Reduction via Local Tangent Space Alignment”. SIAM Journal on Scientific Computing. 26 (1): 313–338. CiteSeerX 10.1.1.211.9957 . doi:10.1137/s1064827502419154.