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| Russian | English |
| для того, чтобы кривая g доставляла 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 (2.1) that ...; ...) |
| доставлять минимум J | afford a minimum to 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) |
| доставлять объяснение | the theory which we are about to discuss furnishes an explanation of the above phenomena |