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