What is Discrete Mathematics | Homework minutes

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What-is-Discrete-Mathematics (1)

 If computer science is your field, then discrete mathematics is the foundation course for compiler design, database, operating system, and automata theory. Used extensively in our daily work. Here, we all get to know about its meaning and uses.

 

What is Discrete Mathematics?

The study of non-continuous or discrete mathematics branches is an integral part of students of computer science and information technology. In simple words, discrete mathematics is a gateway to think logically, creatively and symbolically.

 

Discrete mathematics is in dissimilarity with continuous mathematics. Which deals in real numbers and has infinite possibilities b/w real numbers. Therefore, the set of things studied in discrete mathematics are limited or unlimited. 

 

So, for IT students, this subject is the foundation course for compiler design, database, operating system, automata theory, software development, cryptography and programming languages. 

 

How Does This Help in Everyday Life?

Moreover, this offshoot of mathematics is fundamental in our daily lives, which many of us hasn’t slightest of idea: 

 

Computers – hundreds of software and files run on a PC. They both share massive cords of 1 and 0s. 

 

Networks- you will find millions of types of a grid around your home, neighbourhood and city. Your wifi has wires attached to it, together with a significant wire which brings the internet to your home. 

 

Google searches- web searches, opening multiple tabs and much more through your pc. All gets managed and executed by linear algebra. 

 

Google maps- the weapon of nomads, also uses discrete maths to find the fastest and easiest ways. It also tells you about the route on which you will find the least amount of traffic.

 

Analogue clocks have the mechanisms for accurate timekeeping and also use Discrete mathematics.

 

Moreover, Digital image processing, voting ballot, and covid 19 patients’ data suggest setting a strong password. 

 

If we go deep down searching for the uses of this form of maths, it will leave everyone speechless by its power of operating in different sectors of the web.

 

Difference b/w Discrete and Continuous.

 

The entire world of mathematics consists of two domains. 

 

Continuous 

There is no gap between continuous objects; every point is in connection with another one. For example, real numbers are continuous. Between 6 and 7, you can find thousands of no, like 6.01, 6.102, and so on. 

 

Additionally, in continuous, we study shape, closeness through topology ( the parts are interlinked). Moreover, we study the properties and functioning of those spaces.

 

Discrete

 

An object which has a beginning and ending to it is a Discrete object—for example, the number of people in a room, the road, natural numbers. 

 

Here, we study using Graph theory, where you’ll find that every point is in connection to another.