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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) |
| go from the upper to the lower point in a minimum of time | переходить от верхней точки к нижней |
| 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 ...; ...) |
| it is not hard to show that I u does indeed have a unique minimum u in K | действительно имеет единственный минимум |
| keep to a minimum | сводить к минимуму |
| reduce to a minimum | снижать до минимума |
| reduce to a minimum | сводить к минимуму |
| reduce to a minimum | сводить до минимума |
| the velocity has slowed to a minimum | до минимума |