MTH405 FinalTerm Quiz by taleemi markaz 2024
MTH405 FinalTerm preparation Quiz by taleemi markaz 2024 Part 1
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Questions:
A metric space (X,d) is bounded if
In (R,d), the numbers of neighborhoods of "0" are
If 𝒅 is a metric on 𝑹 defined by 𝒅(𝒙,𝒚)=|𝒙|+|𝒚| and 𝒅(𝒙,𝒚)=𝟏, then ____ .
If 𝒅 is a usual(natural) metric on 𝑹,then 𝒅(−𝟏,𝟏)=
If 𝒅 is a usual(natural) metric on 𝑹,then 𝒅(𝟏,𝟎.𝟓𝟎)=
Euclidean metric on R is defined by
If 𝒅 is a usual(natural) metric on 𝑹,then 𝒅(𝟏,𝟏)=
If 𝒅 is a usual metric on ℝ^𝟐 then 𝒅(𝟏,𝟏),(𝟏,𝟐)=
If 𝒅_𝟎 is a discrete metric on 𝑹 then 𝒅_𝟎 (−𝟐,−𝟐)=
Symmetric property states that for all real numbers 𝒙 and 𝒚 _____.
For the distance function 𝒅(𝒙,𝒛)=
Set of real numbers with distance function 𝒅(𝒙,𝒚)=
If 𝒇(𝒙)=𝟏 and 𝒈(𝒙)=𝟐, then the distance as defined by
If 𝒖 ⃗−(■8(𝒖_𝟏@𝒖_𝟐 )) and 𝒗 ⃗−(■8(𝒗_𝟏@𝒗_𝟐 )) , then their dot product is given by
Which of the following is an example of unbounded function?
Which of the following is an example of bounded function?
"For (−1,1)" ⊏"(R,d), the points which can never have neighborhoods are"