basis background

basis

/ˈbeɪsɪs/

Illustration basis - Image 1

noun

基础，地基。

A physical base or foundation.

Examples :

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

这栋房子建在一个坚固的岩石地基之上，确保了它的稳固性。

structure building essential

Illustration basis - Image 1

noun

基础, 依据。

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. "

老师对光合作用的解释成为了学生们理解植物的基础。

theory philosophy logic science structure essential

Illustration basis - Image 1

noun

基础，根据，依据

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. "

老师决定提供额外帮助，是基于学生们上次考试成绩不佳的情况。

condition situation system theory essential

Illustration basis - Image 1

noun

频率，基准。

A regular frequency.

Examples :

"Cars must be checked on a yearly basis."

汽车必须以每年一次的频率进行检查。

frequency time essential

Illustration basis - Image 1

noun

基，基底。

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. "

老师向我们展示了，这组方程构成了解决该问题的一个基底。

math space essential

Illustration basis - Image 1

noun

成本，本金。

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. "

这台新电脑的成本是1200美元，包括购买价格和运费。

business finance asset value economy essential

Illustration basis - Image 1

noun

基础，基底.

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."

一个基的所有基元素的并集所构成的集合被称为由该基生成的拓扑。

math logic structure essential