Скачать или смотреть Lecture-18|d(A) is zero iff A is singleton|A is subset of B then d(A) is less than or equal to d(B)

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This video contains detailed explanation of the theorem:
Let (X,d) be a Metric Space then,
1- If A is subset of X, then diam(A)=0 iff A is singleton set.
2- If A and B are subset of X such that A is subset of B then diam(A) is less than or equal to diam(B).

#distance #set #metricspace #metric
#diameter #diameterofset #properties
#lp #lpspace #sequencespace
#frechetspace #frechet #specialcase
#minkowski #holder #auxiliary #inequality
#realvaluedfunction #continuousfunction
#metric #metricspace #function #cartesianproduct #introduction #nonnegative #nullcondition #symmetric #triangularinequality #highermaths
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Group theory playlist:-
   • Group Theory (Examples of Groups)  

Real analysis(countability of sets) playlist:-
   • Real Analysis(Countability of a Set)  

Metric Space playlist:-
   • Metric Spaces  

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