Elegance partially coincident with simplicity
Elegance is beauty that shows unusual effectiveness and simplicity.
Elegance is frequently used as a standard of tastefulness, particularly in visual design, decorative arts, literature, science, and the aesthetics of mathematics.
Elegant things often exhibit refined grace and suggest maturity, and in the case of mathematics, a deep mastery of the subject matter.General concept
Essential components of the concept include simplicity and consistency of design, focusing on the essential features of an object. In art of any kind one might also require dignified grace, or restrained beauty of style.
Visual stimuli are frequently considered elegant, if a small number of colors and stimuli are used, emphasizing the remainder.In philosophy of science
In the philosophy of science, there are two concepts referring to two aspects of simplicity: elegance (syntactic simplicity), which means the number and complexity of hypotheses, and parsimony (ontological simplicity), which is the number and complexity of things postulated.In mathematics
In mathematical problem solving, the solution to a problem (such as a proof of a mathematical theorem) exhibits mathematical elegance if it is surprisingly simple and insightful yet effective and constructive. Such solutions might involve a minimal amount of assumptions and computations, while outlining an approach that is highly generalizable. Similarly, a computer program or algorithm is elegant if it uses a small amount of code to great effect.
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