basis background

basis

/ˈbeɪsɪs/

Illustration basis - Image 1

noun

Grundlage, Fundament

A physical base or foundation.

Examples :

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

Das Haus wurde auf einem soliden Felsfundament gebaut, was seine Stabilität gewährleistet.

structure building essential

Illustration basis - Image 1

noun

Grundlage, Fundament

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. "

Die Erklärung der Photosynthese durch den Lehrer diente als Grundlage für das Verständnis der Schüler von Pflanzen.

theory philosophy logic science structure essential

Illustration basis - Image 1

noun

Grundlage, Basis

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. "

Die Entscheidung des Lehrers, zusätzliche Hilfe zu geben, basierte auf den schlechten Leistungen der Schüler im letzten Test.

condition situation system theory essential

Illustration basis - Image 1

noun

Grundlage, Basis

A regular frequency.

Examples :

"Cars must be checked on a yearly basis."

Autos müssen jährlich überprüft werden.

frequency time essential

Illustration basis - Image 1

noun

Basis, Grundlage

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. "

Der Lehrer zeigte uns, dass die Menge der Gleichungen eine Grundlage für die Lösung des Problems bildete.

math space essential

Illustration basis - Image 1

noun

Anschaffungskosten, Einstandspreis

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. "

Die Anschaffungskosten für den neuen Computer betrugen 1.200 Dollar, einschließlich Kaufpreis und Versandkosten.

business finance asset value economy essential

Illustration basis - Image 1

noun

Grundlage, Basis

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."

Die Sammlung aller möglichen Vereinigungen von Basiselementen einer Basis wird als die durch diese Basis erzeugte Topologie bezeichnet.

math logic structure essential