isometry

A noun referring to a condition or property of being equal in measure, dimension, or growth rate; in mathematics, it denotes a distance-preserving mapping between metric spaces.

• 🇩🇪Substantiv, das die Bedingung oder Eigenschaft der Gleichheit in Maß, Größe oder Wachstumsrate bezeichnet; in der Mathematik eine Abbildung, die den Abstand zwischen metrischen Räumen erhält.

1. Equal growth rates C2 formal scientific

   A condition in a growing organism where the growth rates of different parts are the same.

   • In isometry, the limbs and torso grow at proportional rates.
   • The study examined isometry in juvenile fish development.
   • Isometric growth ensures the organism maintains its shape.

   🇩🇪Gleiche Wachstumsraten

2. Distance-preserving mapping C2 formal scientific

   A one-to-one mapping between two metric spaces that preserves the distances between each pair of points.

   • A rotation of a plane is an example of an isometry.
   • The mathematician proved the function is an isometry.
   • Isometries are fundamental in the study of geometry.

   🇩🇪Isometrie

   Synonyme: congruence

3. Equal elevation C2 formal scientific

   Equality of height above sea level.

   • The two points on the map share an isometry of 500 meters.
   • Isometry in elevation is rare in mountainous terrain.
   • Surveyors confirmed the isometry of the two landmarks.

   🇩🇪Gleiche Höhe

   Synonyme: contour line

4. Equality of measure C2 formal scientific

   Equality of measure, such as height above sea level or loudness.

   • The isometry of the sound levels was verified by the audio engineer.
   • The study measured isometry in the loudness of the two speakers.
   • Isometry in this context refers to equal intensity.

   🇩🇪Gleichheit des Maßes

   Synonyme: equalityequivalenceparity

• isometries plural form
• isometries' possessive plural form
• isometry's possessive singular form