Convex: meaning, definitions and examples

๐Ÿ”ต
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convex

 

[ หˆkษ’nvษ›ks ]

Adjective
Context #1 | Adjective

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:

๐Ÿ‡ต๐Ÿ‡น convexo

๐Ÿ‡ฎ๐Ÿ‡ณ เค‰เคคเฅเคคเคฒ

๐Ÿ‡ฉ๐Ÿ‡ช konvex

๐Ÿ‡ฎ๐Ÿ‡ฉ konveks

๐Ÿ‡บ๐Ÿ‡ฆ ะพะฟัƒะบะปะธะน

๐Ÿ‡ต๐Ÿ‡ฑ wypukล‚y

๐Ÿ‡ฏ๐Ÿ‡ต ๅ‡ธใฎ

๐Ÿ‡ซ๐Ÿ‡ท convexe

๐Ÿ‡ช๐Ÿ‡ธ convexo

๐Ÿ‡น๐Ÿ‡ท konveks

๐Ÿ‡ฐ๐Ÿ‡ท ๋ณผ๋กํ•œ

๐Ÿ‡ธ๐Ÿ‡ฆ ู…ุญุฏุจ

๐Ÿ‡จ๐Ÿ‡ฟ konvexnรญ

๐Ÿ‡ธ๐Ÿ‡ฐ konvexnรฝ

๐Ÿ‡จ๐Ÿ‡ณ ๅ‡ธ้ข

๐Ÿ‡ธ๐Ÿ‡ฎ konveksen

๐Ÿ‡ฎ๐Ÿ‡ธ kรบpt

๐Ÿ‡ฐ๐Ÿ‡ฟ ะพะฟัƒะบะปั‹

๐Ÿ‡ฌ๐Ÿ‡ช แƒ’แƒแƒ›แƒแƒ™แƒ•แƒ”แƒ—แƒ˜แƒšแƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ ลŸiลŸkin

๐Ÿ‡ฒ๐Ÿ‡ฝ 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.

Word Frequency Rank

At #6,722 in frequency, this word belongs to advanced vocabulary. It's less common than core vocabulary but important for sophisticated expression.