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| English | Russian |
| as a by-product | побочный результат (of Theorem 4, we also obtain the convergence of (...)) |
| as a by-product | как побочный результат |
| as a by-product of | как побочный продукт |
| as a by-product of | как побочный результат |
| as a by-product of | получить попутно (Theorem 1, we also obtain the following) |
| as a by-product of this work we show that | как побочный продукт этой работы, мы покажем |
| product of a by b | произведение a на b |
| the product of a by b | произведение a на b |