/sci/ - Science & Math » Thread #12082479

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Anonymous Thu 03 Sep 23:26:29 2020 No.12082479 View Reply Original Report

Quoted By: >>12082532 >>12082578 >>12082584 >>12082688 >>12083438 >>12083450 >>12085165 >>12085171

what happens if you execute an infinite loop on an infinitely fast computer

Anonymous

Anonymous Thu 03 Sep 2020 23:29:01 No.12082488 Report

Quoted By: >>12082562

It executes infinitely many times infinitely many times. Aleph 1.

Anonymous

Anonymous Thu 03 Sep 2020 23:32:03 No.12082495 Report

Quoted By: >>12083198

your Rails service finally returns a response

Anonymous

Anonymous Thu 03 Sep 2020 23:39:04 No.12082516 Report

Quoted By:

Undefined behavior

Anonymous

Anonymous Thu 03 Sep 2020 23:47:04 No.12082532 Report

Quoted By:

>>12082479
It will be the ratio of the infinities.

Anonymous

Anonymous Thu 03 Sep 2020 23:59:03 No.12082562 Report

Quoted By: >>12085155

>>12082488
No, Aleph null. Each iteration is discrete, not continuous, so it maps to naturals, not reals.

Anonymous

Anonymous Fri 04 Sep 2020 00:05:31 No.12082578 Report

Quoted By:

>>12082479
Would it not just remain stagnant?

Anonymous

Anonymous Fri 04 Sep 2020 00:08:40 No.12082584 Report

Quoted By:

>>12082479
what you're describing is a Dirac delta function
https://en.wikipedia.org/wiki/Dirac_delta_function
This is a model used by physicists to model the charge distribution of elementary particles (infinitely small radius, infinitely high charge density, finite charge).

Anonymous

Anonymous Fri 04 Sep 2020 00:41:53 No.12082688 Report

Quoted By:

>>12082479
>infinite loop
valid, possible in the real world
>infinitely fast computer
impossible under numerous physical laws

you would get a big chungus XD

Anonymous

Anonymous Fri 04 Sep 2020 01:22:31 No.12082776 Report

Quoted By: >>12082796

what do you mean by infinitely fast?

in 1 clock cycle it executed an infinite number of actions?

hmm thats strange cause then it will never actually finish its clock cycle. therefore it will instantly finish the first loop then never go onto the next loop cause the clock cycle will never end.

Anonymous

Anonymous Fri 04 Sep 2020 01:32:15 No.12082796 Report

Quoted By: >>12082821

>>12082776
to add

im pretty sure computer scientists don't actually use the term "infinitely fast" for this reason. they use terms like "a program is run on a machine with infinite memory and the program is allowed to execute for infinite time"

i think technically an infinite loop run on a computer with infinite memory and given infinite time would be computable though im not sure. cause technically an algorithm is supposed to end to be considered effective. if each loop of the infinite loop had a nested infinite loop, it'd be for sure incomputable.

Anonymous

Anonymous Fri 04 Sep 2020 01:42:22 No.12082821 Report

Quoted By: >>12082836

>>12082796
so if you had a loop that added the successive integers on a computer that had infinite memory and infinite time you would recover -1/12?

Anonymous

Anonymous Fri 04 Sep 2020 01:48:02 No.12082836 Report

Quoted By:

>>12082821
uhh if the data type is defined in such a way that allows for analytic continuation then sure.

Anonymous

Anonymous Fri 04 Sep 2020 02:03:10 No.12082885 Report

Quoted By:

Probably something to do with transfinite induction.
If I were designing a model for a finite state machine that could complete an infinite number of steps, I'd extend the transition function so that the state at step omega would be a function of which states the machine had visited infinitely often.
No particular ideas on push-down automata, Turing machines, or RAM machines capable of storing infinite-precision numbers.

Anonymous

Anonymous Fri 04 Sep 2020 04:04:11 No.12083185 Report

Quoted By:

It will keep going forever, looping infinitely fast
there is no condition for it to exit the loop

Anonymous

Anonymous Fri 04 Sep 2020 04:08:11 No.12083198 Report

Quoted By:

>>12082495
kek

Anonymous

Anonymous Fri 04 Sep 2020 04:35:48 No.12083250 Report

Quoted By:

Joel Hamkins and some other dudes came up with the concept of infinite time Turing machines. Basically you add a limit configuration to a Turing machine. The paper can be found by just googling infinite time Turing machine.

Anonymous

Anonymous Fri 04 Sep 2020 06:31:53 No.12083438 Report

Quoted By:

>>12082479
What is the loop output?

Anonymous

Anonymous Fri 04 Sep 2020 06:37:44 No.12083450 Report

Quoted By:

>>12082479
You pray that it is has a cooling system capable of displacing energy just as fast as computer can heat up or you'll create yet another big bang.

Anonymous

Anonymous Fri 04 Sep 2020 19:17:56 No.12085155 Report

Quoted By:

>>12082562
we dont know if aleph 1 is the cardinal of real numbers tho

Anonymous

Anonymous Fri 04 Sep 2020 19:22:39 No.12085165 Report

Quoted By:

>>12082479
The chips of the computers create an infinite amount of heat and this will burn the universe in an infinite short period of time.

Anonymous

Anonymous Fri 04 Sep 2020 19:24:45 No.12085171 Report

Quoted By:

>>12082479
Error for infinite loop in smart languages,
In lower languages, the loop goes on forever, infinitely fast.

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