Introduction of discrete math:
Discrete math examples is one of the major topics in Mathematics. Discrete math topic defines the mathematics structures that is primarily discrete relatively then continuous. Discrete math dealing with objects that can see only distinct split values.
Discrete math define name Finite is few time applied to this discrete math activities because this discrete math deals with finite sets those area relevant to the business. Discrete math is subdivision of mathematics that deals Countable sets. Countable set describe that have same cardinality as subsets of integers that comprises rational numbers but not a real numbers
Discreate Math Application:
Presently researches in discrete mathematics were increased in later half of twentieth century. The main purpose of study in discrete mathematics is discrete objects and analytic methods from continuous mathematics.
Discrete math have Theoretical computer science, Information theory, Logic, Set theory, Combinatory, Graph theory, probability theory, Discretization, Discrete analogues of continuous mathematics and so on.
Some of the main discrete math activities are given in below
Set theory:
Set theory is division of discrete mathematics. These commonly define the sets. Sets mean group of objects. The important development of set theory is infinite sets in outside the scope of discrete mathematics
Graph theory:
Graph theory is part of discrete mathematics. In this Graph theory mostly focus on graph and network. Graph theory is extensive in all the areas of mathematics and science. Understanding 6th grade math problems and answers is always challenging for me but thanks to all math help websites to help me out.
Algebra:
Discrete mathematics discrete algebra defines the
1] Boolean algebra
The Boolean algebra commonly used in logic gates and programs
2] Relational algebra
In relational algebra commonly used in database side.
3] Algebraic coding theory
4] Discrete Semi group
Discrete modeling:
Discrete modeling is some time called as discrete analogue of continuous modeling.
Case for Discrete modeling is recurrence relation.
Recurrence relationship formula is
`F(n)-f(n-1)=g(n)`
This above formula is discrete analogue of first order ordinary differential equation.
Examples for Discrete Math:
Consider the given discrete math examples,
Examples 1:
Problem:
To solve the all `n>10 n-2< (n^2-n)/12`
Solution:
Default property of discrete mathematics is
p (n) is `P(n)` : `k<=n(k>10 ; n>10)k-2<(k^2-k)/12`
Given Base case `n=17`
`17-2< ((17*17)-17)/12`
=`15<272/12`
`=15<22`
Using discrete mathematics property to solve the above examples.
Example 2:
To solve the all `n>25 ` `n-2< (n^2-n)/12`
Solution:
Default property of discrete mathematics is
p (n) is` P(n) :` `k<=n(k>10`` ; n>10)k-2<(k^2-k)/12`
Given Base case `n=26`
`26-2< ((26*26)-26)/12`
`=24<650/12`
`=15<54`
Using discrete mathematics property to solve the above examples.
Discrete math examples is one of the major topics in Mathematics. Discrete math topic defines the mathematics structures that is primarily discrete relatively then continuous. Discrete math dealing with objects that can see only distinct split values.
Discrete math define name Finite is few time applied to this discrete math activities because this discrete math deals with finite sets those area relevant to the business. Discrete math is subdivision of mathematics that deals Countable sets. Countable set describe that have same cardinality as subsets of integers that comprises rational numbers but not a real numbers
Discreate Math Application:
Presently researches in discrete mathematics were increased in later half of twentieth century. The main purpose of study in discrete mathematics is discrete objects and analytic methods from continuous mathematics.
Discrete math have Theoretical computer science, Information theory, Logic, Set theory, Combinatory, Graph theory, probability theory, Discretization, Discrete analogues of continuous mathematics and so on.
Some of the main discrete math activities are given in below
Set theory:
Set theory is division of discrete mathematics. These commonly define the sets. Sets mean group of objects. The important development of set theory is infinite sets in outside the scope of discrete mathematics
Graph theory:
Graph theory is part of discrete mathematics. In this Graph theory mostly focus on graph and network. Graph theory is extensive in all the areas of mathematics and science. Understanding 6th grade math problems and answers is always challenging for me but thanks to all math help websites to help me out.
Algebra:
Discrete mathematics discrete algebra defines the
1] Boolean algebra
The Boolean algebra commonly used in logic gates and programs
2] Relational algebra
In relational algebra commonly used in database side.
3] Algebraic coding theory
4] Discrete Semi group
Discrete modeling:
Discrete modeling is some time called as discrete analogue of continuous modeling.
Case for Discrete modeling is recurrence relation.
Recurrence relationship formula is
`F(n)-f(n-1)=g(n)`
This above formula is discrete analogue of first order ordinary differential equation.
Examples for Discrete Math:
Consider the given discrete math examples,
Examples 1:
Problem:
To solve the all `n>10 n-2< (n^2-n)/12`
Solution:
Default property of discrete mathematics is
p (n) is `P(n)` : `k<=n(k>10 ; n>10)k-2<(k^2-k)/12`
Given Base case `n=17`
`17-2< ((17*17)-17)/12`
=`15<272/12`
`=15<22`
Using discrete mathematics property to solve the above examples.
Example 2:
To solve the all `n>25 ` `n-2< (n^2-n)/12`
Solution:
Default property of discrete mathematics is
p (n) is` P(n) :` `k<=n(k>10`` ; n>10)k-2<(k^2-k)/12`
Given Base case `n=26`
`26-2< ((26*26)-26)/12`
`=24<650/12`
`=15<54`
Using discrete mathematics property to solve the above examples.
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