बंद-अंतराल हिंदी उपयोग और उदाहरण

""अधिक निश्चितता से, यदि कोई फलन f बंद अंतराल [a, b] पर सतत है, जहाँ a f' \frac{f- f(a)}{b-a} \, ।

बंद-अंतराल इसके अंग्रेजी अर्थ का उदाहरण

is dense in the uniform norm topology of continuous functions on a closed interval.

Given the closed interval [-1,1] of the real number line, the open sets of the topology are generated from the half-open intervals [-1,b) and (a,1] with a .

to span a dense subset of the Banach space C[a,b] of all continuous functions with complex number values on the closed interval [a,b] with a > 0, with the uniform norm, is that the sum.

For any elements x and y in a vector space, the set [x, y] : \{ tx + (1-t)y : 0 \leq t \leq 1 \} is called the closed line segment or closed interval between x and y.

If x and y are points in the real line \R, then the above definition of [x, y] is the same as its usual definition as a closed interval.

Note that any open interval in \R has no extreme points while the extreme points of a non-degenerate closed interval [a, b] are a and b.

If f is continuous on the closed interval [a, b] and symmetrically differentiable on the open interval (a, b) and f(a) f 0, then there exist two points x, y in (a, b) such that fs(x) ≥ 0 and fs(y) ≤ 0.

A lemma also established by Aull as a stepping stone to this theorem states that if f is continuous on the closed interval [a, b] and symmetrically differentiable on the open interval (a, b) and additionally f> f(a) then there exist a point z in (a, b) where the symmetric derivative is non-negative, or with the notation used above, fs(z) ≥ 0.

The quasi-mean value theorem for a symmetrically differentiable function states that if f is continuous on the closed interval [a, b] and symmetrically differentiable on the open interval (a, b), then there exist x, y in (a, b) such that.

# Computers have access to a source of random variates that are uniformly distributed on the closed interval [0,1].

Antony In differential topology, given a family of Morse-Smale functions on a smooth manifold X parameterized by a closed interval I, one can construct a Morse-Smale vector field on X "times; I whose critical points occur only on the boundary.

Notice that a set which is a product of closed intervals,.

One may show that the set of subderivatives at x0 for a convex function is a nonempty closed interval [a, b], where a and b are the one-sided limits.