Originally Posted by

**MagiMaster**
The problem is, if the source of the difference is *floating point ***error**, then it has nothing to do with your algorithm or what you're trying to model. It is an error that exists solely because you are using a convenient approximation to real numbers and therefore is not real or significant.

If you have access to Mathematica, use the SetPrecision function to crank up the number of digits. If the error keeps getting smaller as the precision goes up, then you can be sure it doesn't really exist and only shows up because you're using approximations. If it levels off, there may be something else there. I'm sure MATLAB can do the same thing, but I don't know which function to use. (If your algorithm is simple enough, Wolfram Alpha might work.)

Either way, the best thing to do would be to examine things symbolically, with no representation errors. Whether that's doable depends on how complex your algorithm is.

>> format long e

>> format compact

Note R always produces 0 for every result from Q and S.

---------------------------------------------------------------

When x = 2.0

Q produces:

>>

ans =

-7.500000000000000e+000

S produces:

>>

ans =

7.500000000000000e+000

----------------------------------------------------------------

When x = 3.8

Q produces:

>>

ans =

-8.399999999999999e+000

S produces:

>>

ans =

8.400000000000000e+000

----------------------------------------------------------------

When x = 3.8

Q produces:

>> fprintf('value of z is %1.10e\n',-z)

value of -z is -8.4000000000e+000

S produces:

>> fprintf('value of z is %1.10e\n',z)

value of z is 8.4000000000e+000

------------------------------------------------------------

When x = 3.8

Q produces:

>> fprintf('value of z is %1.30e\n',-z)

value of -z is -8.399999999999998600000000000000e+000

S produces:

>> fprintf('value of z is %1.30e\n',z)

value of z is 8.400000000000000400000000000000e+000

-----------------------------------------------------------

Basically, the assumption is if Q and S are different numbers and they always produce the same opposite results they can coexist.

The idea is that if Q and S are different numbers such that under the same condition they produce the same results let say Q produce -7.5 and S produce +7.5 therefore Q and S exist together but since they produce different result when a decimal number is input e.g. Q produce -8.399999976158142 and S produce 8.4 This confirms that Q and S are actually different numbers therefore they can coexist. So the assumption is right!

And if I show the actual number for Q, R and S with their simple algorithm mechanism you will see that Q, R and S are actually different numbers. So they are homogeneous.

This is also a time that artificial intelligence would be absolute and human would coexist with them.

In a layman language way as follows:

Holistically, the variables concern in this math would make identical copying of systems, software hacking to be impossible because the entangled pair would instantly know that its pair had been tampered with. For example, if photon 1 and 2 are entangled because of their anti-spin correlation.

Let’s consider that;

If not measured and observed:

A (photon 1) imply {0, 0, 0} and B (photon 2) imply {0, 0, 0}

If measured and observed:

A (photon 1) imply {-0.5, 0, 0.5} and B (photon 2) imply {0.5, 0, -0.5}

Measuring one member of the pairs tells us what spin the other member would have if it were also measured.

Now the question is, can we measure and observe both pair simultaneously?