✳flâneur — a map of the web's best reading

Closed-form expression - Wikipedia

en.wikipedia.org · 2,503 words · saved by 1 readers

In mathematics, an expression is in closed form if it is formed with constants, variables and a finite set of basic functions connected by arithmetic operations (+, −, ×, /, and integer powers) and function composition. Commonly, the allowed functions are nth root, exponential function, logarithm, and trigonometric functions.[1] However, the set of basic functions depends on the context. The closed-form problem arises when new ways are introduced for specifying mathematical objects, such as limits, series and integrals: given an object specified with such tools, a natural problem is to find, if possible, a closed-form expression of this object, that is, an expression of this object in terms of previous ways of specifying it. The quadratic formula is a closed form of the solutions to the general quadratic equation 𝑎 𝑥 2 + 𝑏 𝑥 + 𝑐 = 0. More generally, in the context of polynomial equations, a closed form of a solution is a solution in radicals; that is, a closed-form expression for

Closed-form expression - Wikipedia Jump to content From Wikipedia, the free encyclopedia "Closed formula" redirects here; not to be confused with Closed formula (mathematical logic) . Mathematical formula involving a given set of operations This article needs more citations . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed . Find sources: "Closed-form expression" – news · newspapers · books · scholar · JSTOR ( June 2014 ) ( Learn how and when to remove this message ) In mathematics , a closed form expression or formula

Explore this link on the map →

related reading