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convexity


Meanings
  • noun

    The property of a shape or function where all its points lie on one side of a plane, with no points lying on the plane.

    - "The cross-section of the cylinder is a convex shape."
    - "Convex functions have properties that make optimization easier."

Variants
List of all variants of convexity that leads to same result
convexities , convexity
Etymology
origin and the way in which meanings have changed throughout history.

From Latin 'convexus' meaning curved or bent inwards.


Trivia
Any details, considerations, events or pieces of information regarding the word
  1. The study of convexity is called convex geometry.

  2. Convex functions are used in machine learning algorithms for regression analysis.


Related Concepts
informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to
  1. Concavity: The opposite property of a shape or function where points lie on both sides of a plane or none at all.


Culture
Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Convexity is a fundamental concept in mathematics and physics, and has applications in various fields such as computer graphics, optimization, and engineering.

How to Memorize "convexity"

  1. visualize

    - Visualize a three-dimensional shape such as a sphere or a cone, which is a convex shape.

  2. associate

    - Associate the word 'convex' with the idea of a shape that curves inwards towards its center.

  3. mnemonics

    - Use the mnemonic 'Curls In Veer Excessively' to remember the definition of convexity.


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