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by theorem
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math.
by implicit function theorem
изолированный корень
math.
by the implicit function theorem
по теореме о неявной функции
(the first equation may be solved for y in terms of z: y=y (z))
scient.
by theorem
2
по теореме 2
Makarov.
by theorem
по теореме
math.
by theorem
1
по теореме 1
(
by theorem 1
, this estimate is always valid
)
gen.
by theorem
согласно теореме
math.
by virtue of Arzela's theorem
по теореме Арцела
достаточно доказать, что ...
math.
expansion by binomial theorem
разложение по формуле бинома
Makarov.
expansion by the binomial theorem
разложение по формуле бинома
math.
generalizations to implicit function theorems have been given by Zehnder
3
обобщения теорем о неявных функциях
...
math.
it is proved by a straight-forward adaptation of theorem
это доказывается непосредственным применением теоремы
math.
it is proved by a straight-forward adaptation of Theorem 3.1
прямое приложение
tech.
prove a theorem by contradiction
доказывать теорему способом от противного
Makarov.
prove a theorem by exhaustion
доказывать теорему перебором
math.
the integral converges by the Lebesgue theorem
по теореме Лебега
math.
the solution of the problem is summarized by three main theorems
полное решение проблемы собрано здесь в виде трёх основных теорем
math.
the solution of the problem is summarized by three main theorems
решение проблемы состоит из трёх основных теорем
math.
the theorem was first proved by
теорема была впервые доказана
math.
this theorem has been generalized to higher dimensions by Weinstein
данная теорема была обобщена на случай высоких размерностей Вейнштейном в 1967 г
(1967)
math.
we prove this theorem by induction on n
по индукции
math.
we will simplify the proof of theorem slightly by working with the subspaces
мы упростим слегка доказательство теоремы, используя подпространства
math.
we will simplify the proof of theorem slightly by working with the subspaces
мы слегка упростим доказательство теоремы, используя подпространства
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