Meaning of BASIS in English

noun (plural bases) see: base Date: 14th century the bottom of something considered as its foundation, the principal component of something, 3. something on which something else is established or based, an underlying condition or state of affairs , the basic principle, a set of linearly independent vectors in a vector space such that any vector in the vector space can be expressed as a linear combination of them with appropriately chosen coefficients

Merriam Webster. Explanatory English dictionary Merriam Webster.      Толковый словарь английского языка Мерриам-Уэбстер.