Teka-teki Matemaitk


salam...

teka- teki ni berbunyi begini:



Dalam sebuah kolam ada sejenis hidupan yang terapung
di permukaan air(e.g : keladi buting,teratai or wat ever la).

Sehari, satu hidupan(teratai) itu membiak 1 kali ganda.
jika 2 hari dah jadi 4 teratai dalam permukaan kolam tersebut.
hari ke-3 dah ada 8 teratai..

dan hari ke-14 teratai itu memenuhi separuh kolam...

agak-agak korang(pemmbaca) hari keberapa permukaan kolam
tersebut dipenuhi oleh teratai



POSTED BY juong

Math Yang Comel LOTE




1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
Brilliant, isn ' t it?
And look at this symmetry:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111=123456789 87654321



Now, takes a look at this...
101%
From a strictly mathematical viewpoint:
What Equals 100%? What does it mean to
give MORE than 100%?
Ever wonder about those people who say
they are giving more than 100%?
We have all been in situations where
someone wants you to GIVE OVER
100%.
How about ACHIEVING 101%?
What equals 100% in life?
Here ' s a little mathematical formula
that might help answer these
questions:

If:
A B C D E F G H I J K L M N O P Q R S
T U V W X Y Z

Is represented as:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
17 18 19 20 21 22 23 24 25 26.

If:
H-A-R-D-W-O- R- K
8+1+18+4+23+ 15+18+11 = 98%

And:
K-N-O-W-L-E- D-G-E
11+14+15+23+ 12+5+ 4+7+5 = 96%

But:
A-T-T-I-T-U- D-E
1+20+20+9+20+ 21+4+5 = 100%

THEN, look how far the love of God
will take you:
L-O-V-E-O-F- G-O-D
12+15+22+5+15+ 6+7+15+4 = 101%

Therefore, one can conclude with
mathematical certainty that:
While Hard Work and Knowledge will get
you close, and Attitude will
get you there, It ' s the Love of God
that will put you over the top!
It ' s up to you if you share this
with your friends just
the way I did.
Have a nice day

POSTED BY juong

Is Computer Programming a difficult subject


Nowadays, peoples know about programming and think that programming is killer subject. This case, you must set your mind what is better to do before think the computer programming is difficult subject. In other hand, you need to learn the computer programming first.

What is computer programming? Computer programming is the process of writing, testing, debugging, and maintaining the source code of computer programs. This source code is written in a programming language. For examples are java, c++ and PHP programming language. Different programming languages support different styles of programming is called programming paradigm.

Components should be containing in computer programs are hardware, operating system and software. Some of the current programming trend as Mechanisms for adding security and reliability verification to the language, XML for graphical interface, and Integration with databases.

The purpose of programming is to create a program that exhibits a certain desired behavior. That program can call a system development. Every computer program (system) has been created contains of advantages and disadvantages. Some of advantages are the system will make easier to users to communicate each other and the systems also will be saving the data that users enter. And for disadvantages that system like as a programmer, need familiar with syntax of program. Lack of syntax gives difficult to user’s communication.

Software applications nowadays are Web applications that can be used by anyone with a Web browser. Examples of such applications include the Google search service and the Hotmail e-mail service. Artificial intelligent is also current application designed to express computations that can be performed by a machine, particularly a computer.

Refers computer programming, programmer is needed. Programmer is someone who writes code for systems development. For the process of writing source code often requires expertise in many different subjects, including knowledge of the application domain, specialized algorithms and formal logic.

After have a knowledge’s, programmer may be employed as software engineers, information system engineers, information system officers, programmers, system designers, system developers and IT project managers. There are also job opportunities in support areas such as marketing, sales, management consultancy and systems support.

As a result, computer programming is not a difficult subject to try. What need to do is learn and think positive. No subjects are easy else you learn first.

POSTED BY juong

Mathematic Formulas and important concept


Chapter 1: Function

Definition: function is relation of object and image. In other word, function is a correspondence between two sets A and B that assigns to each element of set A to element of B:
Denoted by: f : A -->B or f(a)=b
What is object and image?

a. Relation
One-to-one: Each element of set A for each element of set B

One-to-many: More image(element of set B) of one object(element of set A)

Many-to-many:


**A is called domain of the function f and b is called the codomain. The image of A is called range of f




b. Composite function

Definition: Combination of two functions

**if f:A-->B and g:B-->C, thus composite gf is function of gf: A--> C
**gf(a)=g(f(x))

c. Inverse function:

Definition: if domain to codomain is called function, then codomain refer to domain is called inverse function.


**inverse function of f is f¯¹
**if f(a)= b, then f¯¹(b) = a






d. Example question:

1. Given f(x) = 2x and g(x) = 3x+2, find gf(x) and fg(x).

gf(x) = g(f(x))
= g(2x)
= 3(2x) +2
= 6x + 2
fg(x) = f(g(x))
= f(3x+2)
= 2(3x + 2)
= 6x + 4
2. Given f(x)= 2x + 1, find f¯¹(x).

Let f(y) = x----------1
F(y) = 2y + 1--------2
2 into 1:
2y + 1 = x
2y = x - 1
y= (x-1)/2
thus, f¯¹(x) =(x-1)/2

POSTED BY juong

Math Formula


Basic Math formula:


1. a + 0 = a
2. a + (-a) = 0
3. (a + b) + c = a + (b + c)
4. a + b = b + a
5. a - b = a + (-b)
6. a * b = ab

POSTED BY juong

Statictics solve problem


Statistics is the art of learning from data. It is concerned with the collection of data, its subsequent description, and its analysis, which often leads to the drawing of Conclusions.

Statistics is also is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. Statisticians improve the quality of data with the design of experiments and survey sampling. Statistics also provides tools for prediction and forecasting using data and statistical models. Statistics is applicable to a wide variety of academic disciplines, including natural and social sciences, government, and business.
Sometimes a statistical analysis begins with a given set of data: For instance, the government regularly collects and publicizes data concerning yearly precipitation totals, earthquake occurrences, the unemployment rate, the gross domestic product, and the rate of inflation. Statistics can be used to describe, summarize, and analyze this data.

Example of statistic question and answer:

1. A sample of eleven bags of sugar each marked 1 kg actually contained the following weights:

1.02 1.05 1.08 1.03 1.00
1.06 1.08 1.01 1.04 1.07 1.00

Compute:
a) The mean.

Answer:
Mean is average of data collection,
(1.02+ 1.05 + 1.08 + 1.03 + 1.00 + 1.06 + 1.08 + 1.01+ 1.04 + 1.07 + 1.00)/11 =1.04kg


Thus, mean = 1.04kg.

POSTED BY juong

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