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| English | Russian |
| afford a minimum to J | доставлять минимум J (in order that the curve g afford a minimum to J relative to neighboring admissible curves it is necessary that g satisfy the conditions) |
| in order that the curve g afford a minimum to J | для того, чтобы кривая g доставляла минимум J (relative to neighboring admissible curves it is necessary that g satisfy the conditions (2.1) that ...; ...) |