Introduction to odd number theorem:
The strong gravitational lensing is use the odd number theorem and it is derived from differential topology. The odd number theorem derive the odd numbers by using formula. The integer is determined by normal form of odd number theorem and converse the given integer for odd number theorem.
Explanation for Odd Number Theorem
Statement of odd number theorem:
The odd number theorem illustrated as the square number is equal to the sum of first ‘n’ odd numbers. This statement is expressed as `sum_(k=1)^n` (2k -1) = n2.
The converse is performed in this theorem and defined as the nth odd number is equal to subtraction of squares of nth and (n – 1)st value. This can be expressed as n2 – (n – 1)2 = 2n – 1.
Odd number theorem output:
The odd numbers are derived from the odd number theorem. The odd number means if the number is divided by two,the number have a remainder. The odd number is an integer and the form that integer is n = 2k + 1. The series of odd numbers are 1, 3, 5, 7, 9 and so on. The odd numbers are also called as gnomonic numbers by odd number theorem.
The parity value of odd number is 1 and the odd number’s generating function is `(x(1 +x))/(x-1)^2` .
More about Odd Number Theorem
Examples for finding the odd numbers by using odd number theorem:
Problem 1: Find t out the odd numbers from given set of data by using function:
12, 14, 6, 21, 16, 24, 30
Answer:
The odd number of given set of data is 21. Because it give the remainder as 1 when it divided by 2.
Problem 2 : Choose the odd number from given set of numbers.
7, 4, 2, 8, 10, 12, 14
Answer:
The odd number of given set of number is 7.Because the remainder of that number is 1 when divided by 2.
Exercise problem for finding the odd number by using odd number theorem:
1. Find out the odd number from given set of number:
54, 26, 38, 41, 52, 46
Answer: The odd number is 41.
2. Choose the odd number from series of data:
25, 24, 32, 44, 58, 60
Answer: The odd number is 25.
The strong gravitational lensing is use the odd number theorem and it is derived from differential topology. The odd number theorem derive the odd numbers by using formula. The integer is determined by normal form of odd number theorem and converse the given integer for odd number theorem.
Explanation for Odd Number Theorem
Statement of odd number theorem:
The odd number theorem illustrated as the square number is equal to the sum of first ‘n’ odd numbers. This statement is expressed as `sum_(k=1)^n` (2k -1) = n2.
The converse is performed in this theorem and defined as the nth odd number is equal to subtraction of squares of nth and (n – 1)st value. This can be expressed as n2 – (n – 1)2 = 2n – 1.
Odd number theorem output:
The odd numbers are derived from the odd number theorem. The odd number means if the number is divided by two,the number have a remainder. The odd number is an integer and the form that integer is n = 2k + 1. The series of odd numbers are 1, 3, 5, 7, 9 and so on. The odd numbers are also called as gnomonic numbers by odd number theorem.
The parity value of odd number is 1 and the odd number’s generating function is `(x(1 +x))/(x-1)^2` .
More about Odd Number Theorem
Examples for finding the odd numbers by using odd number theorem:
Problem 1: Find t out the odd numbers from given set of data by using function:
12, 14, 6, 21, 16, 24, 30
Answer:
The odd number of given set of data is 21. Because it give the remainder as 1 when it divided by 2.
Problem 2 : Choose the odd number from given set of numbers.
7, 4, 2, 8, 10, 12, 14
Answer:
The odd number of given set of number is 7.Because the remainder of that number is 1 when divided by 2.
Exercise problem for finding the odd number by using odd number theorem:
1. Find out the odd number from given set of number:
54, 26, 38, 41, 52, 46
Answer: The odd number is 41.
2. Choose the odd number from series of data:
25, 24, 32, 44, 58, 60
Answer: The odd number is 25.
