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The Number Decomposing Formula or GOF(Getal Ontledingsformule)
Category:Mathematics The Number Decomposing Formula or GOF^{[1]} is a formula used to decompose a value in a way that is comparable, just as we humans do.
'"`UNIQ--postMath-00000001-QINU`"'
'"`UNIQ--postMath-00000002-QINU`"'
'"`UNIQ--postMath-00000003-QINU`"'
The GOF^{[1]} was made by a Dutch mathematician called Kasper van Maasdam. The GOF^{[1]} gives the possibility, when used in a computer program, to have a computer decompose a value in a way that is comparable, just as we humans do.
Formula[edit | edit source]
'"`UNIQ--postMath-00000004-QINU`"'
Also written as:
'"`UNIQ--postMath-00000005-QINU`"'
Where:
'"`UNIQ--postMath-00000006-QINU`"'
The GOF^{[1]} needs an '"`UNIQ--postMath-00000007-QINU`"' and a '"`UNIQ--postMath-00000008-QINU`"'. In this case, the '"`UNIQ--postMath-00000009-QINU`"' is the value to be decomposed. The '"`UNIQ--postMath-0000000A-QINU`"' is in this case the variable that indicates which number of '"`UNIQ--postMath-0000000B-QINU`"' is the target from left to right.
Example[edit | edit source]
'"`UNIQ--postMath-0000000C-QINU`"'
Because:
'"`UNIQ--postMath-0000000D-QINU`"'
And:
'"`UNIQ--postMath-0000000E-QINU`"'
You can write:
'"`UNIQ--postMath-0000000F-QINU`"'
Because:
'"`UNIQ--postMath-00000010-QINU`"'
You can write that:
'"`UNIQ--postMath-00000011-QINU`"'
Which is equal to:
'"`UNIQ--postMath-00000012-QINU`"'
Then you get:
'"`UNIQ--postMath-00000013-QINU`"'
Explanation[edit | edit source]
In the example '"`UNIQ--postMath-00000014-QINU`"' was equal to 143 and '"`UNIQ--postMath-00000015-QINU`"' equal to 2. This meant that the second number from the left side of '"`UNIQ--postMath-00000016-QINU`"' should be the outcome.
1_{st} | 2_{nd} | 3_{rd} |
1 | 4 | 3 |
'"`UNIQ--postMath-00000017-QINU`"' became 5 because the '"`UNIQ--postMath-00000018-QINU`"' value was 5 numbers long: 14300
'"`UNIQ--postMath-00000019-QINU`"' and '"`UNIQ--postMath-0000001A-QINU`"' may also be negative or higher numbers. '"`UNIQ--postMath-0000001B-QINU`"' may be negative, because only the absolute value of '"`UNIQ--postMath-0000001C-QINU`"' is taken and '"`UNIQ--postMath-0000001D-QINU`"' may be negative or higher, because the number sequence does not end.
-1_{th} | 0_{th} | 1_{st} | 2_{nd} | 3_{rd} | 4_{th} | 5_{th} |
0 | 0 | 1 | 4 | 3 | 0 | 0 |
'"`UNIQ--postMath-0000001E-QINU`"' may not be a fraction or irrational number. This is because 1.5th number of a number sequence does not exist.
1_{st} | 1.5_{th} | 2_{nd} | 2.5_{th} | 3_{rd} | 3.5_{th} |
1 | - | 4 | - | 3 | - |
The GOF^{[1]} only works if '"`UNIQ--postMath-0000001F-QINU`"' is lower or equal to -1, or if '"`UNIQ--postMath-00000020-QINU`"' is higher than or equal to 1. If '"`UNIQ--postMath-00000021-QINU`"' has a value such as 0.0453 and you want to know the third number (4) then a wrong value will come out. This is because:
'"`UNIQ--postMath-00000022-QINU`"'
'"`UNIQ--postMath-00000023-QINU`"' should be 5 in this case, but is 2. If '"`UNIQ--postMath-00000024-QINU`"' is two then this is in the denominator:
'"`UNIQ--postMath-00000025-QINU`"'
Then it will eventually be:
'"`UNIQ--postMath-00000026-QINU`"'
And this is not the correct answer.
Therefore, the following conditions are given to the GOF:^{[1]}
'"`UNIQ--postMath-00000027-QINU`"'
'"`UNIQ--postMath-00000028-QINU`"'
See also[edit | edit source]
Others articles of the Topic Mathematics : List of positive integers and factors/3, Natural number, List of positive integers and factors/4, List of positive integers and factors/2, Mathematics, Integer, List of positive integers and factors 6001 to 8000
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References[edit | edit source]
- ↑ ^{1.0} ^{1.1} ^{1.2} ^{1.3} ^{1.4} ^{1.5} GOF stands for Getal Ontledingsformule which means Number Decomposing Formula in English
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