Sunday, March 24, 2013

Define Minimum Math

Introduction :

In math the minimum has different versions like find the minimum values from given data, find the minimum distance between two objects and minimum value of function in set theory. Define the minimum in math as least value in as given set of numbers. In set element the minimum value is find out by integration. I like to share this Example Data Sets with you all through my article.


Explanation for define a minimum in math


Define the steps for finding minimum value in math:

The given set of data are collected and arrange it by using comparison technique.
Arrange the numbers in ascending order and find the difference between the numbers.
Finally get the least number as minimum.


For example consider the set of elements 5, 8, 3, 7, 6, 10, 1. Arrange the numbers in ascending order by using comparison. The ascending order of elements is 1, 3, 5, 6, 7, 8, 10. Here the least value of given set of elements is 1.

Minima in math:

In function of math the minima is find out by using set operations. This is find the minimum value of set with optimization. The global minimum value is defined by real valued function. If f ( x* ) <= f (x ) means the global minimum is present at x*. In math the global minimum value is using the bounded value theorem.

In the minimum value of set is represented as A = { ai }N and the sorted first element is equal to this resultant value. The minimum is one type of order statistics. For example consider the set { 2, 8, 4, 9 }. Sort this set as { 2, 4, 8, 9 }. So the minimum value of this math set is 2.


Define the minimum with examples


Problem 1: Find the minimum value from the set of numbers 20, 15, 35, 75, 12, 28.

Answer:

Sort the set of numbers as 12, 15, 20, 28, 35, 75.

The minimum value is 12.

Problem 2: Find the minimum value from given set A = { 4, 8, 2, 10, 1 }.

Answer:

The sorted set is { 1, 2, 4, 8, 10 }.

The minimum value is 1.

Excercise for minimum term in math:

1. Find the minimum value from given set of numbers { 54, 35, 44, 78, 22 }.

Answer: The minimum value is 22.

2. Find the minimum value from set of numbers: 47, 56, 32, 66, 77.

Answer: The minimum value is 32.

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