Terms for subject Mathematics containing by... numbers

English	Russian
A corresponding limitation on the number of negative roots can be obtained by	соответствующее ограничение на число отрицательных корней может быть получено путём ...
a great number of verbs may be derived from each other by adding or removing a prefix	из друг друга
a number divisible by 3	число, кратное 3
approximation by rational numbers	аппроксимация рациональными числами
Descartes' idea of translating geometry into algebra by associating with each point of the plane an ordered pair of real numbers	соответствие
divide the number by six	разделить на число
divide this number by 6	разделить данное число на 6
product of vector by number	произведение вектора на число
the maximizing sequence xn is bounded from above majorized by the number x	ограничена сверху
the minimizing sequence xn is bounded from below by the number x	ограничена снизу
the rise in bacterial numbers is followed by a sudden drop	за увеличением
the set of real numbers can be pictorially represented by the real number line	графически представимо в виде