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Prove that if a and b are two positive numbers then 𝐻.𝑀≤𝐺.𝑀≤𝐴.𝑀

on March 06, 2021

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Prove that if a and b are two positive numbers then 𝐻.𝑀≤𝐺.𝑀≤𝐴.𝑀

Relation between AM, GM and HM:

The relation that associates the harmonic mean, arithmetic mean and geometric mean of a set of observations is given by:

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Concatenation & Replication Operator Example Code using Verilog

Concatenation & Replication Operator using Verilog Example Code module Concatenation_Operator ( a , b , c ); input [ 1 : 0 ] a ; input [ 1 : 0 ] b ; output [ 7 : 0 ] c ; assign c ={ 2 { a , b }}; endmodule module test_Concatenation_Operator ; reg [ 1 : 0 ] a ; reg [ 1 : 0 ] b ; wire [ 7 : 0 ] c ; Concatenation_Operator b1 ( a , b , c ); initial begin a = 2'b10 ; b = 2'b01 ; # 20 a = 2'b10 ; b = 2'b01 ; end endmodule Output (Wave & Dataflow diagram)

Given matrix A = [0, 2, 1; 3, 1, 0; 4, 6, 4; 2, 0, 2], create a matrix with 1’s at locations where a has zeros and 0’s elsewhere. Create a matrix containing all 0’s except the maximum elements in each row of ‘A’.

Given matrix A = [0, 2, 1; 3, 1, 0; 4, 6, 4; 2, 0, 2], create a matrix with 1’s at locations where a has zeros and 0’s elsewhere. Create a matrix containing all 0’s except the maximum elements in each row of ‘A’. Solution: A =[ 0 , 2 , 1 ; 3 , 1 , 0 ; 4 , 6 , 4 ; 2 , 0 , 2 ] B =[ A == 0 ] [ C , D ]= max ( A ,[], 2 ) A ( A ~= C ( 1 ) & A ~= C ( 2 ) & A ~= C ( 3 ) & A ~= C ( 4 ))= 0

Evaluate postfix expression 3 2 ↑ 5 4 3 ↑ * + 18 9 / - using stack.

Evaluate the postfix expression 3 2 ↑ 5 4 3 ↑ * + 18 9 / - using stack. Write each step of this evaluation using the following table. Input Op1 Op2 Value Stack Inpu t Op1 Op2 Value Stack 3 3 2 3 2 ↑ 3 2 9 9 5 3 2 9 9 5 4 3 2 9 9 5 4 3 3 2 9 9 5 4 3 ↑ 4 3 64 9

Prove that if a and b are two positive numbers then 𝐻.𝑀≤𝐺.𝑀≤𝐴.𝑀

Prove that if a and b are two positive numbers then 𝐻.𝑀≤𝐺.𝑀≤𝐴.𝑀

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