Answer: Backtracking
Explanation:
Backtracking algorithm approaches a solution in a recursive fashion whereby it tries to build answers and modify them in time intervals as we progress through the solution. One such backtracking algorithm is the N Queen problem whereby we place N Queen in a chessboard of size NxN such that no two queens attack each other. So we place a queen and backtrack if there is a possibility that the queen is under attack from other queen. This process continues with time and thereby it tends to extend a partial solution towards the completion.
I believe it is corn. ethanol can be produced from corn biomass, and is commonly used to make gasoline. i’m not sure if this answers your question, or counts as a type of energy but i tried.
Answer:
Let f be a function
a) f(n) = n²
b) f(n) = n/2
c) f(n) = 0
Explanation:
a) f(n) = n²
This function is one-to-one function because the square of two different or distinct natural numbers cannot be equal.
Let a and b are two elements both belong to N i.e. a ∈ N and b ∈ N. Then:
f(a) = f(b) ⇒ a² = b² ⇒ a = b
The function f(n)= n² is not an onto function because not every natural number is a square of a natural number. This means that there is no other natural number that can be squared to result in that natural number. For example 2 is a natural numbers but not a perfect square and also 24 is a natural number but not a perfect square.
b) f(n) = n/2
The above function example is an onto function because every natural number, lets say n is a natural number that belongs to N, is the image of 2n. For example:
f(2n) = [2n/2] = n
The above function is not one-to-one function because there are certain different natural numbers that have the same value or image. For example:
When the value of n=1, then
n/2 = [1/2] = [0.5] = 1
When the value of n=2 then
n/2 = [2/2] = [1] = 1
c) f(n) = 0
The above function is neither one-to-one nor onto. In order to depict that a function is not one-to-one there should be two elements in N having same image and the above example is not one to one because every integer has the same image. The above function example is also not an onto function because every positive integer is not an image of any natural number.