Answer:
- def processString(sentence):
- middle = len(sentence) // 2
- output = sentence[0: middle - 5] + sentence[middle+5:]
- return output
-
- print(processString("I have a dream"))
Explanation:
Create a function processString that take sentence as input paratemer (Line 1).
Next create a variable middle to hold the value of middle index of sentence string (Line 2)
Build the output string by slicing the input sentence from first character to character middle - 5th and from middle + 5th till the end of the string (Line 3).
Test the function using a sample sentence and we shall get the output "I am"
Answer:
Condition to break: ![H[j] \geq max {H[2j] , H[2j+1]}](https://tex.z-dn.net/?f=H%5Bj%5D%20%5Cgeq%20max%20%7BH%5B2j%5D%20%2C%20H%5B2j%2B1%5D%7D)
Efficiency: O(n).
Explanation:
Previous concepts
Heap algorithm is used to create all the possible permutations with K possible objects. Was created by B. R Heap in 1963.
Parental dominance condition represent a condition that is satisfied when the parent element is greater than his children.
Solution to the problem
We assume that we have an array H of size n for the algorithm.
It's important on this case analyze the parental dominance condition in order to the algorithm can work and construc a heap.
For this case we can set a counter j =1,2,... [n/2] (We just check until n/2 since in order to create a heap we need to satisfy minimum n/2 possible comparisions![and we need to check this:Break condition: [tex]H[j] \geq max {H[2j] , H[2j+1]}](https://tex.z-dn.net/?f=%20and%20we%20need%20to%20check%20this%3A%3C%2Fp%3E%3Cp%3E%3Cstrong%3EBreak%20condition%3A%20%3C%2Fstrong%3E%5Btex%5DH%5Bj%5D%20%5Cgeq%20max%20%7BH%5B2j%5D%20%2C%20H%5B2j%2B1%5D%7D)
And we just need to check on the array the last condition and if is not satisfied for any value of the counter j we need to stop the algorithm and the array would not a heap. Otherwise if we satisfy the condition for each
then we will have a heap.
On this case this algorithm needs to compare 2*(n/2) times the values and the efficiency is given by O(n).
Answer:
The long derivation for work of a mechanically reversible, isothermal compression was done with detailed steps as shown in the attachment.
Explanation:
what is applied here is a long derivation from Work done in an isobaric process, the expression for the compressibility factor (Z) and the equation of state that was given. The requisite knowledge of Differentiation and Integration was used.
The detailed derivation from firs principle is as shown in the attachment.