Convex: meaning, definitions and examples
๐ต
convex
[ หkษnvษks ]
geometry shape
The term 'convex' refers to a shape that curves outward or bulges outward, creating a surface where any line drawn between two points on the surface remains entirely within the object. In geometry, a convex polygon is defined as a polygon where all interior angles are less than 180 degrees, meaning that no indentations are present in the shape. Convex shapes are often contrasted with concave shapes, which curve inward. Convexity is also an important concept in various fields such as economics, graphics, and math optimization where it is often associated with certain properties that optimize functions.
Synonyms
arciform, bulging, curved, rounded.
Examples of usage
- A convex hull encloses a set of points.
- The lens is convex, allowing light to focus.
- His face had a convex shape indicating youthfulness.
Translations
Translations of the word "convex" in other languages:
๐ต๐น convexo
๐ฎ๐ณ เคเคคเฅเคคเคฒ
๐ฉ๐ช konvex
๐ฎ๐ฉ konveks
๐บ๐ฆ ะพะฟัะบะปะธะน
๐ต๐ฑ wypukลy
๐ฏ๐ต ๅธใฎ
๐ซ๐ท convexe
๐ช๐ธ convexo
๐น๐ท konveks
๐ฐ๐ท ๋ณผ๋กํ
๐ธ๐ฆ ู ุญุฏุจ
๐จ๐ฟ konvexnรญ
๐ธ๐ฐ konvexnรฝ
๐จ๐ณ ๅธ้ข
๐ธ๐ฎ konveksen
๐ฎ๐ธ kรบpt
๐ฐ๐ฟ ะพะฟัะบะปั
๐ฌ๐ช แแแแแแแแแแแ
๐ฆ๐ฟ ลiลkin
๐ฒ๐ฝ convexo
Etymology
The word 'convex' originates from the Latin term 'convexus', which means 'vaulted' or 'arched'. The root of the word can be traced back to 'con-' meaning 'together' or 'with', and 'veore' meaning 'to turn', which gives a sense of a shape turning outward. The term has been used in mathematical contexts since at least the 18th century and was formalized in geometry by mathematicians who defined the properties of shapes and their classifications. Over time, 'convex' has come to describe not just geometric shapes but various other systems where the 'bulging' nature indicates certain advantageous properties, such as in economics where convex functions exhibit diminishing returns. The understanding of convexity has evolved and expanded, finding applications in areas like graphic design and architectural principles.