General form of a differential equation of order n (Q1998): Difference between revisions
Jump to navigation
Jump to search
Added content item: General form of a differential equation of order n |
Added content item: General form of a differential equation of order n |
||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
| Property / LaTeX source | |||
| Property / LaTeX source: F\\!\\left(x_1,\\dots,x_m,\\;u,\\;\\frac{\\partial u}{\\partial x_1},\\dots,\\frac{\\partial u}{\\partial x_m},\\;\\frac{\\partial^2u}{\\partial x_1^2},\\dots,\\frac{\\partial^\\alpha u}{\\partial x_1^{\\alpha_1}\\cdots\\partial x_m^{\\alpha_m}},\\dots\\right)=0,\n\\qquad \\alpha=(\\alpha_1,\\dots,\\alpha_m)\\in\\mathbb N^m. / rank | |||
| Property / attributed to | |||
| Property / attributed to: Rong Martin-Siebler ZHOU / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
F\\!\\left(x_1,\\dots,x_m,\\;u,\\;\\frac{\\partial u}{\\partial x_1},\\dots,\\frac{\\partial u}{\\partial x_m},\\;\\frac{\\partial^2u}{\\partial x_1^2},\\dots,\\frac{\\partial^\\alpha u}{\\partial x_1^{\\alpha_1}\\cdots\\partial x_m^{\\alpha_m}},\\dots\\right)=0,\n\\qquad \\alpha=(\\alpha_1,\\dots,\\alpha_m)\\in\\mathbb N^m. | |||
| Property / LaTeX source: F\\!\\left(x_1,\\dots,x_m,\\;u,\\;\\frac{\\partial u}{\\partial x_1},\\dots,\\frac{\\partial u}{\\partial x_m},\\;\\frac{\\partial^2u}{\\partial x_1^2},\\dots,\\frac{\\partial^\\alpha u}{\\partial x_1^{\\alpha_1}\\cdots\\partial x_m^{\\alpha_m}},\\dots\\right)=0,\n\\qquad \\alpha=(\\alpha_1,\\dots,\\alpha_m)\\in\\mathbb N^m. / rank | |||
Normal rank | |||
| Property / attributed to | |||
| Property / attributed to: Rong Martin-Siebler ZHOU / rank | |||
Normal rank | |||
Latest revision as of 04:52, 5 October 2026
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General form of a differential equation of order n |
No description defined |
Statements
F\\!\\left(x_1,\\dots,x_m,\\;u,\\;\\frac{\\partial u}{\\partial x_1},\\dots,\\frac{\\partial u}{\\partial x_m},\\;\\frac{\\partial^2u}{\\partial x_1^2},\\dots,\\frac{\\partial^\\alpha u}{\\partial x_1^{\\alpha_1}\\cdots\\partial x_m^{\\alpha_m}},\\dots\\right)=0,\n\\qquad \\alpha=(\\alpha_1,\\dots,\\alpha_m)\\in\\mathbb N^m.
0 references