## Wednesday, November 16, 2016

### "And the four and twenty elders" - An Effect of an Additional Element

Mt. Fuji, Japan

An Effect of an Additional Element

When there is a simple relation ship between X and Y, we can add a simple element to it.  Then we think that the relation will not change drastically.  But, in fact, it can be when some operation is applied to the relationship.

For example, by reversing X to 1/X and Y to 1/Y in a mathematical expression of the relation, we can get a drastic change.

You may suppose that X and Y is a man and wife and an additional element is a child.  A couple with a child faces a very different situation from that of another couple without children.

Or, you may suppose that X and Y is a holy spirit and a man and an additional element is another person.   The tie between a holy spirit and a man changes to a very different state when another person is involved.

It means that you cannot make little of any additional change in a situation.  Even a tiny little element introduced into your spiritual world might cause a big change.

One mathematical example is as follows:

Y = X is one of the simplest functions as Y =2 if X = 2.

http://image.search.yahoo.co.jp/search?ei=UTF-8&aq=-1&p=Y+%3D+X&meta=vc%3D&fr=sfp_as#mode%3Ddetail%26index%3D28%26st%3D800

Y = X + 1 looks also simple as Y = 3 if X =2.

If Y and X of Y = X are reversed, 1/Y = 1/X.
Then by multiplying both the sides by XY, we can obtain: X = Y which is basically the same as Y = X.

If Y and X of Y = X +1 are reversed, 1/Y = 1/X + 1.
Then by multiplying XY, we can obtain X = Y + XY.
As Y + XY is Y(1+X), X = Y(1+X).
It can be changed to Y = X/(X+1)
In this function, Y is always less than 1 since X < X+1.

Y = X + 1 means Y - X =1, like 3 - 2 = 1; 5 - 4 = 1; 11 - 10 = 1 and so on.
1/Y = 1/X + 1 means 1/Y - 1/X = 1, like Y =  1/3 and X = 1/2; Y = 1/11 and X = 1/10.

Both the equations have simple meaning.  The first one means that the difference between Y and X is one.  The second one means that the difference between 1/Y and 1/X is also one.

But the second one is expressed as Y = X/(X+1) in the non-reversed form, which is a little complicated in graphical expression.   And the value of Y is always less than 1, no matter how big X becomes.   But in Y = X, Y can be as large as X over 1.

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Rev 11:16 And the four and twenty elders, which sat before God on their seats, fell upon their faces, and worshipped God,
Rev 11:17 Saying, We give thee thanks, O LORD God Almighty, which art, and wast, and art to come; because thou hast taken to thee thy great power, and hast reigned.