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Q. Prove that a compact subset of a metric space is closed and bounded.


Show that all solution of a linear, homogeneous and n order ordinary differential equation constitute an n-dimensional linear vector space?


Define p-adic number with example.


Find p-adic norm of |3/4|_2


Find p-adic norm of |6|_3


Identify two problems in each category of the following time complexities and derive the complexity of these identified problems. (4+6 marks) O(n log n), and O(n2 ).


How p-adic norm is different from the real norm?


What is the p-adic absolute value or p-adic norm?


What do you mean by p-adic number?


Consider the functions h(x)=2x^2+x-1 and g(x)=4x-5 . The value of h(-1)-g(-1) is


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