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- | title = Algebra of one-dimensional generalized functions for generalized functions of one variable that at one fixed point can have singularities ...39 KB (6,273 words) - 21:54, 3 November 2023
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- ...ng amplitude appear to be smooth funcitons; the product of two generalized functions appear in the deduction. At the time of Wigner, there was no mathematical t ...okov. [[Algebra of generalized functions (Shirokov)|Algebra of generalized functions]]. Theoretical and Mathematical Physics,<b>39</b>, 291-301 (1979) ...15 KB (2,259 words) - 16:42, 27 June 2016
- | title = Algebra of one-dimensional generalized functions for generalized functions of one variable that at one fixed point can have singularities ...39 KB (6,273 words) - 21:54, 3 November 2023
- ...gether with the reference-point. {{sc|Wiechert-Schwarzschild}} formulas in generalized coordinates ...cted by a minimal vector. In other words, the <math>x</math> are therefore functions of the <math>y</math>. The general and most simple formulas for this depend ...24 KB (3,909 words) - 13:21, 8 October 2022
- | section = § 1. Integral forms. Differential invariants. Generalized coordinates Let <math>\left(\begin{array}{c} n\\ p \end{array}\right)</math> be the functions <math>A_{\alpha_{1}\alpha_{2}\dots\alpha_{p}}</math> of the variables <math ...29 KB (4,640 words) - 13:20, 8 October 2022
- ===Introduction of a generalized system of coordinates.=== The <math>y</math> are to be seen as functions of four parameters: ...22 KB (3,508 words) - 13:25, 8 October 2022
- ...to avoid such confusions, the deduction of the McCumber relation should be generalized. 3 functions <math>~\sigma_{\rm a}(\omega)~</math>,<math>~\sigma_{\rm e}(\omega)~</math> ...22 KB (3,396 words) - 20:01, 26 November 2022
- ...''temperature'', the ''density'', the ''pressure''—or any two independent functions of these quantities. ...figure assumed by a molecule originally spherical; or any six independent functions of either of those systems of quantities. ...41 KB (6,767 words) - 17:14, 8 July 2022
- ...wave with the reflected one. They can only be satisfied, when the periodic functions (10) and (13) representing both waves at point <math>P</math>, are mutually ...s also the case for the velocity in glass according to the {{pagenum|505}} generalized theorem, which is evidently impossible when the beam direction is maintaine ...24 KB (3,918 words) - 12:18, 8 October 2022
- ...cterised by the equality of the co-ordinates. If we now introduce any four functions <math>x'_{1},x'_{2},x'_{3},x'_{4}</math> as coordinates, so that there is a where <math>g_{\sigma\tau}</math> will be functions of <math>x_{\sigma}</math>, but will no longer depend upon the orientation ...121 KB (19,817 words) - 19:27, 8 August 2024
- ...math>\varkappa(v),\ \lambda(v),\ \mu(v)</math> and <math>\nu(v)</math> are functions of <math>v</math> still to be determined. Namely, it is clear at first, tha ...erived. If its coordinates <math>x,y,t</math> in system <math>K</math> are functions of time <math>t</math>, then the velocity components are: ...75 KB (12,268 words) - 12:01, 8 October 2022
- ...are wholly located in the surrounding simple continuous æther and are thus functions of their mutual configurations. In this way we come round again to an order ...'force'' as acting from one point to another in a straight line, has to be generalized into a ''forcive'' in {{sc|Lagrange}}'s manner on the basis of the principl ...83 KB (13,920 words) - 11:06, 27 November 2022
- ...ound: but there is a good crop coming. Material pneuma is destined to high functions; and man is to read by gas-light. ...r right owners, exacting his fee before he made his communication. He then generalized into trying to get fees from all of the ''name'' belonging to a dividend; a ...89 KB (15,099 words) - 20:01, 26 November 2022