How to Define Binary Relation

In the previous post we have discussed about Use Percentage Increase Calculator

and In today's session we are going to discuss about A binary relation R is said to be defined in set A if for any order pair(x,y)ϵ A x A , it is meaningful to say

That xRy   is true or false. In other words R= (x,y) ϵ A x A : xRy   is true

That is relation R in a set A is a subset of A x A. The meaning of binary is two. So binary relation is a relation between two sets, these sets may be different or identical. For the sake of convenience a binary relation will be written as only as relation. In other terms we can say dyadic relation and two place relation are called synonyms of binary relations. (Know more about Binary Relation in broad manner, here,)

Binary relation concepts are used in many branches of mathematics like ‘is greater than’, ‘is equal to ’and divides are used in arithmetic’s and ‘is congruent to ’ is used in geometry and ‘is adjacent to’ used in graph theory. Like that more concepts are used in different -2 branches. The binary relation is also used in other relation like Domain relation .For example Domain D of the relation R is defined as the set of all first element of the ordered pairs which belongs to R

Like binary relation D = x :(x,y) ϵ R , x ϵ A

Range E of the relation R is defined as the set of all first element of the ordered pairs which belongs to R

E  = y :(x,y) ϵ R , x ϵ B

As well as binary relation is also used in computer science filed.

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Use Percentage Increase Calculator

In mathematics, percentage can simply be define as a number which are expressed in the form of fraction that has the value of their denominator is 100. In simple mean we can say that when any number 'a' has % sign with them then it can express as a /100. Suppose there is a value in the form of percentage like 25% then it can be express as 25 /100. By using the concept of percent we can perform various task. Here we are going to discuss about the percent increase calculator.

Percentage Increase Calculator is a type of calculator that calculates the increase in percentage from old value to new value. It means to say that the Percentage Increase Calculator perform the task of calculating the increment between two number values in the form of percentage. Suppose there is a any matter available in the market at $10. After a week the price of there product get increase which is equal to $15. In a simple manner we can say that there is $5 increment in price. But if we want to represent this amount in the form of percent then there is a need of percent difference calculator arises.

The Percentage Increase Calculator basically follow some steps:

a ) First perform the difference between new value and old value.

b ) After that divide the incremented value by old value then final result should be multiplied by 100 that gives the result in the form of percent.

In the above example the Percentage Increase Calculator calculates the increase in price in the form of percent as: $15 -$10 = $5 then this result is divided by old value i.e. $10 then result will be $5 / $10 =50%.

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How to Work Out Percent Difference Calculator

In mathematics, percentage can simply be define as a number which are expressed in the form of ratio that has divisor of 100. It mean to say that when any number has % sign with them then they can also be represented as divisor of 100. Suppose there is a percentage value 15% then it can be express as 15 / 100. By using the concept of percent we can perfrom various task. Here we are going to discussing about the percent difference calculator.
Percent Difference Calculator is a type of calculator that perform their tasl by using the concept of percent. 
Percent Difference Calculator calculates the difference between two values in the form of percent. It means to say that percent difference is a difference between two number values which is divided by their average. As we know that difference of two number refers to the result that can be obtained by subtrating them. In the same aspect average of two numbers refers to the value which is genearted by adding two values after divided them by 2.
When we perfrom the above given task of difference and average of two number then we can easily perform the task of calculating the percent difference between two numbers. Baiscally the 
Percent Difference Calculator follow some basic steps that are given below:
Step a) First of all perform the subtraction of two numbers.
Step b) After that calculate the average of same two numbers.
Step c) After perfroming Step a & b we need to perfrom the division of differnce value by average value then multiply the final result to 100 that gave the result in the form of percent.
In theb mathematical notation it can be describe as:
Percent difference = (|(A – B)| / ((A + B )/2)) *100
Second Derivative is the part of calculas that perfrom the task of calculating the derivative of derivative of function f. In India ISEET stands for Indian science engneering eligibility test that provide ISEET syllabus Chemistry for helping the student to make their preparation according to the ISEET norms or syallbus and In the next session we will discuss about Use Percentage Increase Calculator.

How to tackle Radicals

In the previous post we have discussed about Is zero an Even Number and In today's session we are going to discuss about How to tackle Radicals. Radicals basically stand to represent the square root and the cube roots of the given number.
Let us consider any number say 16. We know that when we divide 16 by 4 , we get 4 as the quotient. So we can write 4 * 4 = 16, this can also be expressed as 16 = 4>2. It is called 4 with the exponent 2. Similarly if we write the number 27 as 3 * 3 * 3 = 3>3, here the exponent is 3. So we define radical as any function, which help us to find the find the divider of the given argument.  If we have any positive real number a, such that x>2 = a. It has two solutions: x = + Root (a) or x = - root ( a). (know more about Radical , here)
SO we define the radical as a symbol which is placed over the number or the expression. The base number is called the radicand and the power of the number is called the root of the radicand. We can also write the higher roots of the radicand as the cube root, the fourth root of the radicand etc. So we say that the term radical can also be used to represent the entire expression which consists of the radical sign and the radicand.  If we have the number as fourth root of 16, it will be expressed as follows:
Fourth root ( 16 ) = fourth root ( 2 * 2 * 2 * 2 ) = fourth root ( 2>4)
 Thus we get the result as 2.
 In order to learn how to simplify expressions, we can take online help of math tutorials and can understand the concepts in details.  Karnataka secondary education board sample papers are also available online to understand the pattern of the paper.

Is zero an Even Number

In the previous post we have discussed about Numbers for Kids and In today's session we are going to discuss about Is zero an Even Number. In mathematics, zero is a cardinal number. In figure it is written as ‘0’. Zero is defined as the integer or real number in mathematics. Even number is defined as the number which is divisible by 2 and remains zero as a remainder i.e. 2, 4, 6…... Odd number is defined as the number which leaves a remainder when divided by 2 i.e. 1, 3, 5….. Now the question arises that is zero an even number? The answer is yes, zero is an even number. There are several ways to prove that zero is an even number:
1. As the definition of even number says that the number which is divisible by 2 and remains zero as a remainder. So, if you will divide zero by 2 it will leave zero as a remainder. That’s why zero is an even number. 0/2 = 0 i.e. it satisfies the definition of even number.
2. Addition rule states that zero is an even number. When even number is added to even then it gives even number as a result and when odd number is added to odd number then it gives even number. When even number is added to odd number then it gives odd number.
In short, Addition rule states that:
                Even + even = even.
                 Odd + odd = even.
                Even + odd = odd.
According to this rule zero is an even number.
3. Number sequence: in number sequence, each integer differs by 1 and each consecutive integer changes from odd to even and even to odd. So, zero is an even number.
 At last it is proved that zero is an even number. Beta Distribution is a measure of the movement in price of a security relative to stock market and is well discussed in Maharashtra state board syllabus.

Numbers for Kids

Mathematics is the branch of study of science which deals with the number, quantity and space. For kids mathematics is a tough subject to understand. There is a lot of confusion with the numbers for kids. In mathematics there are certain rules that you have to follow while you are learning or practicing with numbers. Basically, kids don’t understand the rule and faces a lot of problems. For kids it is necessary to make them understand the basic rules or numbers in mathematics. Mathematics helps in our day to day life, so it is necessary to understand. Here we will deal with some of the basic numbers in mathematics:
Integer number: it is defined as a whole number. There are two types of integers in mathematics i.e. positive and negative integers. Positive integer starts from 0, 1, 2, 3…… and negative integer starts from
-1, -2, -3 ….
Even number: it is defined as a number divisible by 2 i.e. 2, 4, 6, 8, 10…..
Odd number: it is defined as a whole number, having one left over as remainder when divided by 2 i.e. 1, 3, 5, 7…….
Natural number: it is defined as the positive integer i.e. 1, 2, 3…… and sometimes zero as well.
Prime number: it is defined as a number divisible only by itself one such as (2, 3, 5, 7, 11).
Composite number: it is defined as the product of two or more factors greater than unity, not prime. Even numbers are composite number.
Factorial number: it is defined as the product of an integer and all the integers below it i.e. factorial four means 4 x 3 x 2 x 1 = 24.
 At last numbers for kids is very important to understand. What is Mean? The Answer to this question is well described in west Bengal board of secondary education syllabus.

multiplying decimals

We say that the decimal numbers are the numbers which can be expressed in the form of whole part and the decimal part. So we say  the difference  between the place  value of  the whole part and the decimal part is as follows :  Place value of the whole part is  written as H T O and the place value after decimal is written as tenth ( 1/10),  hundredth ( 1/100), thousandth ( 1/1000) etc.
Now we will learn about Multiplying Decimals. When we start with Multiplying Decimals with  a whole number, then we will forget the decimal point from the number and then multiply the  two numbers as simple numbers. After this we will  check how many digits are there in the  decimal  part and then we leave that number of places from the right side and place the decimal point  in the product of the two numbers and get the result.
 In case a decimal number is multiplied by 10, the decimal will shift to one place right and we get the result. In case of Multiplying Decimals with 100, the decimal point shift to the right by 2 places.  In the same way, if the decimal number is multiplied by 1 / 10, then the decimal point shifts to left by one place and we get the result of multiplication of a decimal number by 1/10.
Now we look at multiplying a decimal number with a decimal number. For this we  simply multiply the two numbers without considering a decimal and then place the decimal point at the place which counts the total decimal places of the two numbers. To know more about the Derivatives of Trig Functions we can take online help of the math tutors. CBSE Imp Questions are also available online on the CBSE site, which help the students to prepare for their exams. IN the next session we will discuss about How to Add Binary Numbers.

How to Add Binary Numbers

Word binary stand for 2. So we say that the Binary numbers are the numbers which  represent 0 and 1. They are used to represent the electric signals on form of ON and OFF. Let us see the rules of  binary addition. According to Binary Addition, we have :
 0 + 0 = 0
1 + 0 = 1
0 + 1 = 1
1 + 1  = 1 0
1 + 1 + 1 = 1 1
Looking at the rules given above, we proceed to solve the following  addition problems of binary numbers :
   1 0 1  + 1 0 can be written as :
  1  0   1

  +  1   0

1    1     1  Ans.
 Now let us check that the above addition is correct or not :
 1 0 1 =   4 + 0 + 1 = 5
 1 0  = 2 + 0  = 2
 We observe that  5 + 2 = 7
 Let us see that the sum 1  1  1    represent the   decimal value 7 or not .
 1 1 1 = 4 + 2 + 1 = 7 Ans.
In the same way   we can add three  binary numbers too.  Let us try for  3 numbers
 To Add 1 0 0  + 1 0 1  + 1 1
 We write it as follows :
  1   0    0
1     0    1

+    1     1

1  1   0   0
 We will convert it to decimal and check the addition:
1 0 0 = 4 + 0 + 0 = 4
1 0 1 = 4 + 0 + 1 = 5
  1 + 1 =  2 + 1 = 3
 1 1 0  0 =  8 + 4 + 0 + 0 = 12, which is represented by  4 + 5 + 3 =12

 We can learn about  Probability Worksheets by  online math tutors.  We have online CBSE sample papers to understand about the pattern of question papers in different subjects and to get the idea about the important questions and in the next session we will discuss about multiplying decimals

How to solve Composite Functions

 In today's session we are going to discuss about How to solve Composite Functions, In mathematics we are familiar with the functions, they are the relations that relates the set of inputs with the set of outputs and have a property that denotes that every input have at least one output. So in this blog we are going to discuss the composite functions. Composite functions are the function in which one's function output is a input of another function. This can be understand easily by the following way: - → f() → g() →
Where f() and g() are the functions and the arrow ( → ) denotes that the result of function f() is going into the function g() and so on. Function composition symbol is the small circle now the above function can be written as g ∘ f (x) that means g(f(x)). Here the output of f(x) becoming the input of g(x). x means an input.
In simple words composite function are the combinations of function where we get the answer of first function and send it into the second function.
Let's take an example to understand more about the composite function. Here are two simple functions, which we will mark as f and g:
f(x) = 3x + 7 g(x) = 4x²
A composite function looks like this: f ∘ g (x).
f ∘ g(x) means f(g(x)), that means first we have to work on g(x), and then plug that answer into f.
Let's find f ∘ g(7)
That means find f (g(7))
First work on g(7).
Where g(x) = 4x², then g(7) = 4(7)² = 4(49) = 196
Now we have to find f(149)
f(x) = 3x + 7 so f(149) = 3(149) + 7 = 454
So f g(7) = 454
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Algebraic Expression

Expressions in Mathematics means numbers combined with the mathematical operations, viz.,+,-,* and / .For example: 2*8, 6/15, 3+5, 7–2 are mathematical expressions.
Now, since algebra involves the use of letters of English alphabets with numbers as values; so Algebraic Expression means that the values represented by letters as well as numbers are brought together with the help of different mathematical operators. e.g., g + ½ v,5–2t,6y+8, d/t are few algebraic expressions.
Let us learn to understand the given algebraic expressions. In algebraic expressions, add, subtract & divide are represented in their usual form with the help of symbols they add denoted by; i.e.,+,-, / are used for add, subtract, divide respectively; but for multiplication, we should that if a variable is to be multiplied by  another  variable or even a number, the multiplication sign is omitted in between them, e.g., to multiply 3 & s, we write 3s or for p*q, we write pq; similarly,7xy means 7*x*y.
Next, we must know how to write Algebraic Expression. Before starting writing algebraic expressions, we must recall the terms associated with the four mathematical operations. Addition means add, sum, increase, more than, etc. Subtraction means less, reduced, difference, decrease, etc. Multiply means times, product & divide also means quotient, equally distributed, division.
We need to read the statement carefully, especially when it is related to subtraction or division because we know that addition & multiplication are commutative as well as associative, i.e., the sequence of numbers to be added or multiplied does not make a difference in both of them. But it does make a lot of difference in subtraction & division. e.g., 3 subtracted from the product of 7&p. We will read the statement in pieces. 3 subtracted from means we have to subtract 3 , thus -3 for it; the product of 7&p means 7p. Thus, the expression is 7p-3.Whereas subtract 7p from 3 means 3-7p.Also we should be particular about putting brackets, as 3x subtracted from the sum of 8&y means addition is to be done first. Thus, the expression will be (8+y)-3x.
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