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True number for computer error


philipishin

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Floating point error?

 

Floating point@ Wii

Accuracy problems

 

The fact that floating-point numbers cannot precisely represent all real numbers, and that floating-point operations cannot precisely represent true arithmetic operations, leads to many surprising situations. This is related to the finite precision with which computers generally represent numbers.

 

For example, the non-representability of 0.1 and 0.01 (in binary) means that the result of attempting to square 0.1 is neither 0.01 nor the representable number closest to it. In 24-bit (single precision) representation, 0.1 (decimal) was given previously as e = −4; s = 110011001100110011001101, which is

0.100000001490116119384765625 exactly.

Squaring this number gives

0.010000000298023226097399174250313080847263336181640625 exactly.

Squaring it with single-precision floating-point hardware (with rounding) gives

0.010000000707805156707763671875 exactly.

But the representable number closest to 0.01 is

0.009999999776482582092285156250 exactly.

Also, the non-representability of π (and π/2) means that an attempted computation of tan(π/2) will not yield a result of infinity, nor will it even overflow. It is simply not possible for standard floating-point hardware to attempt to compute tan(π/2), because π/2 cannot be represented exactly

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There is a true number we cannot count by my mind as it is not my experience to understand.

Example of such number.. ?

 

So when we put this number in the computer, the computer cannot count this number so this number is changing each time as computer error. The computer cannot count the true number.

This is completely different problem.

Computer can work only with what it has in memory or external data storage.

Typically we work with 32 bit floating points, and 64 bit floating points numbers.

Because they're implemented in hardware in FPU in CPU (which means fast working).

But any programmer can make their own xxx-bits floating point numbers implementation in software.

We can use entire computer memory, say 16 GB, for keeping just a single number.

It will have 137,438,953,472 bits of precision.

It would be possible to keep number up to [math]2^{137,438,953,472}[/math]

Edited by Sensei
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There's a finite memory capacity in both brains and machines, but that doesn't necessarily reflect upon deities.

 

If you consider a deity to be limited by physical laws, then it suggests limits to the deity's abilities or that our knowledge of physical laws is incomplete.

 

If you consider a deity to be supernatural, then you might as well throw the book out the window, as there is nothing such a being couldn't do.

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!

Moderator Note

 

OK so whilst this is the religion forum and a certain amount of non-empiricism is to be expected - we are still not here to provide a platform for numerology nor for preaching.

 

The Religion forum is provided as a "Forum for the discussion and examination of the rational foundations of religion."

 

Either move on from the numerology or this thread will be locked

 

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