Noun Phrase
/ˌsɛkʃənəli smuːð kɜrv/
"Sectionally smooth curve" refers to a curve that is smooth in distinct sections. In mathematical contexts, curves can have varying degrees of smoothness; when a curve is said to be "sectionally smooth," it typically means that it can be divided into segments where each segment maintains a degree of differentiability. This term is often used in calculus, differential geometry, and computer graphics.
In terms of frequency of use, it is primarily used in written contexts, especially in academic papers, research articles, and textbooks that focus on mathematics or physics. It is less common in everyday oral speech.
The engineers designed the road with a sectionally smooth curve to ensure a safe driving experience.
Ingenieurlerin entwarfen die Straße mit einer abschnittsweise glatten Kurve, um ein sicheres Fahrerlebnis zu gewährleisten.
In mathematics, a sectionally smooth curve can be analyzed using advanced calculus techniques.
In der Mathematik kann eine abschnittsweise glatte Kurve mit Hilfe fortgeschrittener Techniken der Infinitesimalrechnung analysiert werden.
The artist's painting features a sectionally smooth curve that draws the viewer's eye across the canvas.
Das Gemälde des Künstlers weist eine abschnittsweise glatte Kurve auf, die das Auge des Betrachters über die Leinwand zieht.
While "sectionally smooth curve" itself does not have idiomatic expressions, the term "smooth curve" is often used in various idiomatic expressions or phrases in relation to smooth transitions or designs. Here are a few examples:
The presentation had a smooth curve, which made the complex data easy to understand.
Die Präsentation hatte eine glatte Kurve, die die komplexen Daten leicht verständlich machte.
Life is not always a smooth curve; there are ups and downs along the way.
Das Leben ist nicht immer eine glatte Kurve; es gibt Höhen und Tiefen auf dem Weg.
The artist aimed for a smooth curve in her sculpture to evoke feelings of harmony.
Die Künstlerin strebte in ihrer Skulptur nach einer glatten Kurve, um Gefühle der Harmonie hervorzurufen.
The term "sectionally" derives from "section," which comes from the Latin "sectio," meaning "a cutting." "Smooth" originates from Old English "smoog," which means "to make smooth or level." "Curve" comes from Latin "curva," meaning "a bending." Together, the term essentially describes a curve that has been divided into parts, each with smooth characteristics.
Synonyms: - Curve with sections of smoothness - Piecewise smooth curve - Segmented smooth curve
Antonyms: - Jagged curve - Rough curve - Discontinuous curve