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Talk:Tensors in curvilinear coordinates

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should be the intro to the formalism in vector calculus, which was previously immersed in tensors and genuinely unreadable.
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for characters/very short expressions which are trvial to write in html. Here are very good examples:
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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be an arbitrary basis for three-dimensional Euclidean space. In general, the basis vectors are
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It would look much neater and reduce the byte count if people would actually stop using
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By the way, Levi-Civita symbol is introduced in section 3.3 but used in section 1.3
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article can let loose on the tensor calculus + applications while the main article
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hence finally there is no contribution at all for the summation of
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Restored content from curvilinear coordinates (early April 2012)
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It is indicated that the curl is given by the summation over
1044: 938: 843: 817: 603: 863:{\displaystyle {\mathcal {E}}^{rst}=-{\mathcal {E}}^{srt}} 742:{\displaystyle v_{s|r}=v_{s,r}-\Gamma _{sr}^{i}~v_{i}} 1024: 977: 934: 884: 813: 757: 668: 583: 457: 430: 361: 334: 206:, a collaborative effort to improve the coverage of 101:, a collaborative effort to improve the coverage of 1093: 1010: 963: 917: 862: 799: 741: 654: 508: 438: 412: 340: 800:{\displaystyle \Gamma _{sr}^{i}=\Gamma _{sr}^{i}} 1179:Start-Class physics articles of Mid-importance 8: 422:neither unit vectors nor mutually orthogonal 19: 451:How much effort does it take to use LaTeX 152: 47: 1085: 1080: 1065: 1049: 1043: 1042: 1033: 1025: 1023: 1002: 990: 982: 976: 943: 937: 936: 933: 909: 897: 889: 883: 848: 842: 841: 822: 816: 815: 812: 791: 783: 770: 762: 756: 733: 721: 713: 694: 677: 673: 667: 646: 641: 628: 624: 608: 602: 601: 592: 584: 582: 497: 492: 482: 477: 467: 462: 456: 431: 429: 401: 396: 386: 381: 371: 366: 360: 333: 154: 49: 1011:{\displaystyle \Gamma _{sr}^{i}~v_{i}} 964:{\displaystyle {\mathcal {E}}^{rrt}=0} 918:{\displaystyle \Gamma _{sr}^{i}~v_{i}} 7: 200:This article is within the scope of 95:This article is within the scope of 38:It is of interest to the following 979: 886: 780: 759: 710: 14: 1164:Mid-priority mathematics articles 115:Knowledge:WikiProject Mathematics 1159:Start-Class mathematics articles 1081: 1034: 1026: 878:mutually compensate in the term 642: 593: 585: 493: 478: 463: 432: 397: 382: 367: 187: 177: 156: 118:Template:WikiProject Mathematics 82: 72: 51: 20: 1174:Mid-importance physics articles 240:This article has been rated as 135:This article has been rated as 1124:07:54, 11 September 2012 (UTC) 1018:term and we may simply write: 870:hence in the summation, pairs 678: 629: 503: 458: 407: 362: 1: 220:Knowledge:WikiProject Physics 214:and see a list of open tasks. 109:and see a list of open tasks. 1169:Start-Class physics articles 439:{\displaystyle \mathbf {v} } 223:Template:WikiProject Physics 538: 328:curvilinear coordinates of 280: 1195: 306:11:43, 30 April 2012 (UTC) 246:project's importance scale 1145:13:17, 17 June 2022 (UTC) 516:? 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curvilinear coordinates
See also here
F =
q(E+v×B)
⇄ ∑ici
11:43, 30 April 2012 (UTC)
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