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The Number Decomposing Formula or GOF(Getal Ontledingsformule)

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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.

1st 2nd 3rd
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.

-1th 0th 1st 2nd 3rd 4th 5th
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.

1st 1.5th 2nd 2.5th 3rd 3.5th
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 : James Grime, Mathematics, Applied mathematics, List of positive integers and factors/2, List of positive integers and factors 8001 to 10,000, Natural number, List of positive integers and factors/3
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References[edit | edit source]

  1. 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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