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Real Analysis
solve the given question shortly
Q. Show that another metric D on a set S is defined by d(x,y)=∫_a^b▒〖|x(t)-y(t)|dt〗
Q. Show that another metric D on a set S is defined by d(x,y)=∫_a^b▒〖|x(t)-y(t)|dt〗
Real Analysis
solve the given question shortly
Q. If A is a subspace of l^∞ consisting of all sequence of 0 and 1. What is the induced metric on A?
Q. If A is a subspace of l^∞ consisting of all sequence of 0 and 1. What is the induced metric on A?
Real Analysis
Q. Let D be a metric on X determined all constant k.
Prove shortly that k+d is a metric.
Prove shortly that k+d is a metric.
Real Analysis
Prove shortly that |d(x,z)-d(y,z)|≤d(x,y) Give its Hint or prove it shortly.
Real Analysis
Q.Let D be a metric on X determined all constant k s.t
(i) kd is a metric
(ii)(k+d) is a metric
(i) kd is a metric
(ii)(k+d) is a metric
Real Analysis
Q.Find all metric on a set X consisting of one point and consisting of two points.
Real Analysis
Q. Prove that |d(x,z)-d(y,z)|≤d(x,y)
Real Analysis
let f(x) =modulus x^3.Compute f'(x),f"(x),for all real x,and show that f"'(0) does not exist
Real Analysis
Q. Show that the real line is a metric space.
Real Analysis
Q. Is d(x, y) =√(│x-y│) a metric space?(solve it)
