the normal reasons program creators deliver to enroll your program – to get tech bolster, news, upgrades, offers, bug fixes, and so on. It too ensures your venture since it gives you changeless get to to your enlisted serial number in case something ever happens to your computer or computer program.
OMR, OCR and MICR are all types of character and mark recognition devices. They are scanners <span>that are able to recognize special </span>characters and marks<span>.
</span>OMR stands for Optical Mark Recognition,which <span>senses the presence or absence of a mark.</span>
OCR stands for Optical Character recognition, which reads special preprinted characters by light source.<span>
MICR stands for Magnetic Ink Character Recognition, where </span><span>machine reads character made of ink containing magnetized particles.
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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, let’s 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.
- They now have color screens
- Touch screen
- Higher bandwidth due to different radio
- More memory and processing power
- Ability to install and run apps
One could joke that battery life has not improved...
