transformation
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transformation
A profound and often fundamental change or conversion of something or someone into a new form or a new state.
Die digitale Transformation hat die Arbeitswelt komplett verändert.
The digital transformation has completely changed the world of work.
transformation
In genetics, the uptake of free DNA by a cell, leading to a change in its genetic properties.
Die bakterielle Transformation ist eine wichtige Methode in der Gentechnik.
Bacterial transformation is an important method in genetic engineering.
transformation
In mathematics, a function that maps elements of one set to other elements of the same or another set, often while preserving certain structures.
Eine lineare Transformation bildet Geraden wieder auf Geraden ab.
A linear transformation maps lines onto lines again.
'Transformation' belongs to the word family of the verb 'transformieren' (to transform/convert). The root 'Form' is clearly recognizable, and the prefix 'trans-' means 'across' or 'beyond'.
Das Unternehmen muss sich komplett transformieren, um zu überleben.
The company must transform completely in order to survive.
The word is often used to describe major social or technical processes. Common combinations are 'die digitale Transformation' (digital transformation), 'die ökologische Transformation' (ecological transformation), or 'die wirtschaftliche Transformation' (economic transformation).
Die Transformation zur Elektromobilität ist eine große Herausforderung für die Autoindustrie.
The transformation toward electric mobility is a major challenge for the automotive industry.
Alongside the general meaning of conversion, 'Transformation' is also a fixed technical term in various sciences, for example in mathematics or genetics. The exact meaning becomes clear from the respective field.
In der Geometrie beschreibt eine Transformation die Verschiebung eines Objekts im Raum.
In geometry, a transformation describes the shifting of an object in space.
illustration / mapping
In mathematics, Abbildung and Transformation can both map elements of a set to other elements. Abbildung refers generally to the precise assignment, while Transformation usually means a particular change of form that preserves certain structures. Use Abbildung for the assignment and Transformation when the change of form is the main focus.
Die Transformation dreht die Figur, ohne ihre grundlegende Struktur zu verändern.
The transformation rotates the figure without changing its basic structure.
Die Abbildung ordnet jeder Zahl aus der ersten Menge genau eine Zahl aus der zweiten Menge zu.
The mapping assigns exactly one number from the second set to each number in the first set.
