Post 10 - Linear Programming

Definition of Linear Programming:
a linear programming maybe defined as the problem of maximizing a linear function subject to system of linear constraints. The constraints maybe qualities. The linear function is called the objective function, of the form f (x, y) = ax + by + c

Steps:
0. Read the whole problem
1. Define the whole problem
2. Express the objective function and the constraints
3. Graph the constraints
4. Find the corner points to the region of feasible solution.
5. Evaluate the objective function at all the feasible corner points.

Steps(Image)

Example:

Example of  Linear Programming(Image) 

Reference:

Image:

http://image.slidesharecdn.com/linearprogramming-ppt-130704104707-phpapp01/95/linear-programming-model-formulation-graphical-method-5-638.jpg?cb=1407007106

http://image.slidesharecdn.com/linearprogramming-ppt-130704104707-phpapp01/95/linear-programming-model-formulation-graphical-method-40-638.jpg?cb=1407007106

http://image.slidesharecdn.com/linearprogramming-ppt-130704104707-phpapp01/95/linear-programming-model-formulation-graphical-method-40-638.jpg?cb=1407007106

Video:

https://www.youtube.com/watch?v=-32jcGMpD2Q

Post 9 - Set Theory

What is set theory?
set - it is a collection of distinct object.

Symbol:

Symbol of set theory (Image)

Example:

Example of set theory (Image)

Venn Diagram

What is Venn Diagram?

Venn Diagram is a diagram representing mathematical or logical sets pictorially as circle or close curves within unenclosed rectangle, universal set, common elements on the sets being represented by intersection.

Sets:

Sets of Venn Diagram (Image)

Example:

Example of Venn Diagram(Image)

Reference:

Image:

https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/PolygonsSetIntersection.svg/220px-PolygonsSetIntersection.svg.png

http://www.saburchill.com/math/images/200407100.jpg 

https://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Venn0001.svg/2000px-Venn0001.svg.png

https://i.ytimg.com/vi/YYM_Wju0-so/maxresdefault.jpg

https://i.ytimg.com/vi/22tiyb7Kemk/maxresdefault.jpg

Video:
https://www.youtube.com/watch?v=vGelH3Jibt4

Post 8 - Stem - And - Leaf Plot

Definition of Stem - And - Leaf Plot:
A stem - and - leaf ploy shows data arranged by place value. You can use a stem - and - leaf plot when you want to display data in organized way that allows you to see each value.

Explanation:

Explanation of stem - and - leaf(Image)

Formula:

formula stem - and - leaf (Image)

Symbol:

Symbol stem - and - leaf (Image)

Example:

Example stem - and - leaf (Image)

Reference:

Image:

http://www.bbc.co.uk/staticarchive/9e1d43fdc0891fc3ff696e6e49fbcf6f959ae0d9.gif 

Video:

https://www.youtube.com/watch?v=_7m0Q_m2ppg

Post 7 - Combination

What is combination?
Each of the different group or selections by taking some of the number of an object. Other simple meaning of this combination is Group, Sample, Choice, Selection, Election.

Formula:

Formula (Image)

Example:

Example of combination (Image)

Reference:

Definition:

http://www.careerbless.com/aptitude/qa/permutations_combinations_imp.php

Video:

https://www.youtube.com/watch?v=bCxMhncR7PU

Post 6 - Permutation

Definition on Permutation:
One of many different ways that can be arranged. Another simple definition is schedule, order and arrangement.

Ways:
1! = 1 way
2! = 2 ways
3! = 6 ways
4! = 24 ways
5! = 120 ways
6! = 720 ways
7! = 5,040 ways

Explanation:
I am going to pick 7!, so why 7! = 5,040 ways? simple. you just have to expand it like this,
7 * 6 * 5 * 4 * 3 * 2 * 1, the answer will be 5,040.

Symbols:
N! = Permutation
! = Factorial
n = number selected

Permutation formula:

Permutation (Image)

Example:

Example permutation (Image)

Reference:

Video:

https://www.youtube.com/watch?v=XqQTXW7XfYA

Post 5 - Geometric Progression

Introduction of Geometric Progression.
a Sequence of a number which is a quotient of any two successive members of a sequence that constant called Common Ratio of the sequence.

Explanation:
The formula and the calculation are the same as Arithmetic Progression, only the different is we have to find the common ration, not the common difference. for example:

Explanation(Image)

Example:

Example of Geometric Progression(Image)

Other formula:

Formula Geometric(Image)

Example:

Example other formula (Image)

Reference:

Definition:

https://www.math10.com/en/algebra/geometric-progression.html

Video:

https://www.youtube.com/watch?v=bCxMhncR7PU

Post 4 - Arithmetic Progression

What is arithmetic Progression?
a sequence is a set of things that are ordered by list of numbers.

Sequence:

Sequence(Image)

Explanation:
The formula of this Arithmetic Progression is subtract which is (common difference) and add to get the next term.
For example:

Explanation(Image)

Example:

Example of Arithmetic Progression(Image)

                



















Rule for the nth term:

Rule for the nth term(Image)

      






























Example:

Example of the nth term(Image)

Reference:

Definition:

https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html

Video:

https://www.youtube.com/watch?v=vlPHnGbKi9w

                

Post 3 - Inequalities

What is Inequalities?

- Inequality is about the relative size between the two values such as bigger, smaller or equal.

Symbol of Inequalities:

Symbols of Inequality

Explanation:

Explanation of Inequalities

Example:

Example of Inequalities(Image)

Reference:

Image:
http://www.mathwarehouse.com/number-lines/inequality-pictures/number-line-inequality-graph-example2.png

Definition:
https://www.mathsisfun.com/algebra/inequality.html

Video:
https://www.youtube.com/watch?v=nif2PKA9bXA

Post 2 - Logarithm

Definition of Logarithm.

- Logarithm is the power that have to determine how many times a certain number, it is called the      based, then it have to multiplied by it selfs in order to reach another number.

Law of Logarithm:

Law of Logarithm(Image)

How to write Logarithm?

- Z^x = S

Explanation

Explanation of Logarithm(Image)

Example:

Example of Logarithm(Image)

Reference:

Definition:

http://www.livescience.com/50940-logarithms.html

Video:

https://www.youtube.com/watch?v=wfYsiJcVWy0

Post 1 - Indices

What is Indices?

A more applicable way of simply expressing substantial numbers. There are also present us with many useful properties for manipulating them using what are called the Law of Indices.

Law of Indices:

Law of Indices(Image)

Law of Indices(Image)

Explanation:

C² – 2 is represent square or C to the power of 2

C³ – 3 is represent cube or C to the power of 3

Example:

Example of Indices(Image)

Example of Indices(Image)

Video:

Reference:

Image:

http://mathematicsi.com/wp-content/uploads/rules-of-indices/rules-of-indices-01.png

vq4gjfow/VKPRfxzjsaI/AAAAAAAAD1U/EA24a8wxvJ8/s1600/Patterns.png

Video:

https://www.youtube.com/watch?v=qOn-NW_lsvE