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"I don't understand maths!"
Does this sound familiar?
This statement is not only from young learners, but from adults too.
What actually happened?
Maths is interestingly unique. This is so because it represents a different way of presenting messages.
Maths is a "short form" of written langauge.
It is like the short-hand symbols that many people use to note down minutes of meeting.
What is 1 + 3 = 4?
In the common English language, it simply means "one added to three equals four".
Nothing different.
However, visually, the maths equation is encoded with symbols.
What is this "+" and "="?
If you do not understand the meaning and usage of these two symbols, then you are lost.
Thetefore, learning and understanding maths is knowing the unique symbols presenting the "message".
How about 3y = 24. What is "y"?
The question is finding "y" given the relationship above.
The equation in English means "When we multiply "y" by 3, it gives 24".
The solution, thus, it English, is: If I divide this 24 by 3, I will get the answer that is 24/3 = 8.
In maths concept: 3y = 24 ===> y = 24/3 = 8.
It is the interpretation of the maths symbol and its communication with the learners that is key to doing maths.
It is not difficult if you understand the language of maths.
Maths is interesting!
:D
Saturday, 18 July 2009
Friday, 10 July 2009
Amazing Trigonometric Art
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Maths does wonders when presented in graphical form.
This is provided the mathematical equation makes it so.
Using the trigonometric relation, x sin x = y cos y, the artistic effect of this equation is shown below.
You can now see that, though maths can be boring at times, it can reflect its beauty through other means.
Don't you agree?
Maths is Interesting! Watch out for it!
.. :D
Maths does wonders when presented in graphical form.
This is provided the mathematical equation makes it so.
Using the trigonometric relation, x sin x = y cos y, the artistic effect of this equation is shown below.
You can now see that, though maths can be boring at times, it can reflect its beauty through other means.
Don't you agree?
Maths is Interesting! Watch out for it!
.. :D
Monday, 6 July 2009
Application of Boolean OR operation
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Besides the Boolean AND operation and its application, Boolean OR operation also serves a special application.
For the AND operation, which is equivalent to the maths multiplication, the use is for it to pull any untied input to a system to zero state.
For the OR operation, the concept is similar, except that now it is the maths addition.
Instead of pulling the untied input to the system to zero, you can set it to the other Boolean state, which is the "1".
In base 2 number system (Boolean), if the input is 000101, and you need the data to be all 1, just OR the input with 111111.
What you will get after this OR (adding) operation is 111111.
This is so due to the fact that 1 + 0 = 1.
Here you will see that option to set the untied input to 0 or 1 can be done using either the AND or OR operation of the Boolean system.
This is maths, if you are aware.
This is the application of maths after understanding the principles of maths operation.
Any comment?
:D
Besides the Boolean AND operation and its application, Boolean OR operation also serves a special application.
For the AND operation, which is equivalent to the maths multiplication, the use is for it to pull any untied input to a system to zero state.
For the OR operation, the concept is similar, except that now it is the maths addition.
Instead of pulling the untied input to the system to zero, you can set it to the other Boolean state, which is the "1".
In base 2 number system (Boolean), if the input is 000101, and you need the data to be all 1, just OR the input with 111111.
What you will get after this OR (adding) operation is 111111.
This is so due to the fact that 1 + 0 = 1.
Here you will see that option to set the untied input to 0 or 1 can be done using either the AND or OR operation of the Boolean system.
This is maths, if you are aware.
This is the application of maths after understanding the principles of maths operation.
Any comment?
:D
Sunday, 5 July 2009
Boolean OR operation | Special Maths Addition
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Boolean means 2-state operation.
OR means any one state that is valid will result in a positive outcome.
Example: When James or Mary come, the show will be start.
In maths, this translates to ADD, except only 2 states can occur (that is, on or off only).
1 = on, 0 = off (or vice versa).
What do I mean?
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 1
From the above addition, you will notice that as long as one state is ON, the result will be ON.
The operation is that of an "add".
Note: Since the operation is Boolean, it cannot go above 1 or 2 and above cannot exist. Only base 2 number (0, 1) can happen.
This field of maths is known as Boolean Algebra, a special maths operation used in digital electronics.
Caution:
If you are using this Boolean process, make it clear that the number base system is 2, otherwise 1 + 1 = 2!
1 + 1 = 2 in Boolean means that you go over the ceiling!
Another interesting maths concept, right?
Maths is interesting!
:D
Boolean means 2-state operation.
OR means any one state that is valid will result in a positive outcome.
Example: When James or Mary come, the show will be start.
In maths, this translates to ADD, except only 2 states can occur (that is, on or off only).
1 = on, 0 = off (or vice versa).
What do I mean?
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 1
From the above addition, you will notice that as long as one state is ON, the result will be ON.
The operation is that of an "add".
Note: Since the operation is Boolean, it cannot go above 1 or 2 and above cannot exist. Only base 2 number (0, 1) can happen.
This field of maths is known as Boolean Algebra, a special maths operation used in digital electronics.
Caution:
If you are using this Boolean process, make it clear that the number base system is 2, otherwise 1 + 1 = 2!
1 + 1 = 2 in Boolean means that you go over the ceiling!
Another interesting maths concept, right?
Maths is interesting!
:D
Tuesday, 30 June 2009
Application of Boolean AND operation
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Boolean, though, of 2 states, can still be useful.
The concepts of multiplication in this AND operation can be used to perform cancellation of unknowns.
Anything times zero gives zero.
This is a common knowledge.
Here we are talking about basic fundamental maths. Nothing difficult.
Cancellation of unknowns in the AND operation means that we are able to mask out the unwanted or redefine the unknowns to a definite state.
Here the unknown become a zero, a known state or condition.
A more specific application is in the masking of unconnected inputs to a processing system. If the inputs are scanned and compared for status updates, the inputs have to be accurate or of a known status. Otherwise, comparison results become meaningless.
Here the Boolean multiplication (AND) forces the unconnected input to a zero. This is then an accurate input status for comparison.
Here, maths is applied to technical application, and its usefulness become apparent.
This is the power of understanding maths , and is exactly what makes maths interesting.
.
Boolean, though, of 2 states, can still be useful.
The concepts of multiplication in this AND operation can be used to perform cancellation of unknowns.
Anything times zero gives zero.
This is a common knowledge.
Here we are talking about basic fundamental maths. Nothing difficult.
Cancellation of unknowns in the AND operation means that we are able to mask out the unwanted or redefine the unknowns to a definite state.
Here the unknown become a zero, a known state or condition.
A more specific application is in the masking of unconnected inputs to a processing system. If the inputs are scanned and compared for status updates, the inputs have to be accurate or of a known status. Otherwise, comparison results become meaningless.
Here the Boolean multiplication (AND) forces the unconnected input to a zero. This is then an accurate input status for comparison.
Here, maths is applied to technical application, and its usefulness become apparent.
This is the power of understanding maths , and is exactly what makes maths interesting.
.
Thursday, 25 June 2009
Boolean AND operation | A Special Multiplication
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There is a special field of algebra called the Boolean Algebra.
Here the algebra operates in the base 2 number system.
One special operation it performs is the AND operation.
What AND?
A simple analogy is " Mary AND John went to the park".
The meaning is that BOTH Mary and John moved together as a whole.
If either one is absent, they did not go to the park!
This is a form of multiplication.
0 x 0 = 0
1 x 0 = 0
0 x 1 = 0
1 x 1 = 1
Only when Both are present , the outcome becomes present.
Here you will notice that maths is applied to real life situation, forming into the English word "AND". But in maths, we call this "AND" as multiplication.
Boolean is utilised when the outcome is of 2 states (on or off, present or absent).
Do you see the interesting part of maths here?
Maths is mingled into daily events and is always around us if you keep an eye for it.
... :D
There is a special field of algebra called the Boolean Algebra.
Here the algebra operates in the base 2 number system.
One special operation it performs is the AND operation.
What AND?
A simple analogy is " Mary AND John went to the park".
The meaning is that BOTH Mary and John moved together as a whole.
If either one is absent, they did not go to the park!
This is a form of multiplication.
0 x 0 = 0
1 x 0 = 0
0 x 1 = 0
1 x 1 = 1
Only when Both are present , the outcome becomes present.
Here you will notice that maths is applied to real life situation, forming into the English word "AND". But in maths, we call this "AND" as multiplication.
Boolean is utilised when the outcome is of 2 states (on or off, present or absent).
Do you see the interesting part of maths here?
Maths is mingled into daily events and is always around us if you keep an eye for it.
... :D
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