Background for basis

basis

/ˈbeɪsɪs/

Illustration basis - Image 1

noun

A physical base or foundation.

Examples :

"The house was built on a solid rock basis, ensuring its stability. "

structure building essential

Illustration basis - Image 1

noun

A starting point, base or foundation for an argument or hypothesis.

Examples :

"The teacher's explanation of photosynthesis served as the basis for the students' understanding of plants. "

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Illustration basis - Image 1

noun

An underlying condition or circumstance.

Examples :

"The teacher's decision to give extra help was based on the students' poor performance on the last test. "

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Illustration basis - Image 1

noun

A regular frequency.

Examples :

"Cars must be checked on a yearly basis."

frequency time essential

Illustration basis - Image 1

noun

In a vector space, a linearly independent set of vectors spanning the whole vector space.

Examples :

"The teacher showed us that the set of equations formed a basis for solving the problem. "

math space essential

Illustration basis - Image 1

noun

Amount paid for an investment, including commissions and other expenses.

Examples :

"The basis for the new computer was $1,200, including the purchase price and shipping costs. "

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Illustration basis - Image 1

noun

A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.

Examples :

"The collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis."

math logic structure essential