Alternatively, Leumas's generator does indeed have a mechanism to force the coin into a flat position, insomuch as it eschews simulating a physical coin entirely.
Let's see you do better... ok! I would be interested in what you come up with.Alternatively, Leumas's generator does indeed have a mechanism to force the coin into a flat position, insomuch as it eschews simulating a physical coin entirely.
Let's see you do better... ok! I would be interested in what you come up with.Is the amount it is off consistently higher or lower than 50%.
Let's see you do better... ok! I would be interested in what you come up with.
You misunderstand. I think simulating a literal physical coin is a waste of time for this purpose. You were fine excluding the edge case.
On the other hand, I have grave doubts about the wisdom of trying to use pseudorandom events to prove anything about probabilistic outcomes of naturally occurring events.
Ok I'm a little lost here. You enter a number over ten and the screen gives you percentages floating around 50% for heads and tails. What...is this about?
Right...right, I get all that. Let me clarify:When you specify 10 or any number X (within 10 to 10,1000,000 inclusive)... then click the Flip button... you are telling the app to simulate flipping a coin X times.
Each toss results in a H or T (or Edge in the v2 of the app).
So the app tallies up the number of H and number of T and calculates the %H and %T and shows you those values in a row in the table.
The app also calculates a running average of each time you click the Flip button and shows that above the table.
So you can perform X flips N times and see the average of averages, as well as the average of each go (in the rows).
You can use this to see how the %H and %T never really settle down to 50-50 regardless of how many times you flip the coin.... whether you flip 10 flips a go for 1000,000 goes or flip 1000,000 flips a go for 10 goes, or 100,000 flips a go for 100 goes etc.... and also see how the results even though they are 10,000,000 flips whichever combination, are still not the same.
And so on... in other words you can use the App to play with all sorts of combinations and see how the %T and %H behave.
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Now I am using a Cryptographic algorithm...
As far as I can tell, Leumas's v1 simulator does in fact show the percentage of heads trending asymptotically towards 50% over the series.
You are right of course that PRNGs are only a SIMULATION of the randomness of reality.
However... you are wrong that it is not wise to use them for the purposes of SIMULATING naturally occurring randomness.
Simulations are used extensively in numerous fields of science and humanities... although it depends on the requirements of the application, most of the time PRNGs are used and are sufficient. And if the application requires a TRNG then PRNGs are still used anyway just with an added seeding using a hardware source of randomness.
Nevertheless... although you are assuredly right that PRNGs are not the real randomness of a natural random event... you are still wrong about the wisdom of using PRNGs as a SIMULATION to EXPERIMENT and ESTIMATE and RESEARCH such naturally occurring randomness without having to spend $$$ and prohibitive real time.
I suggest you look into the benefits and wisdom of simulating natural events in all sorts of fields of science and humanities. (Here is just ONE example of a very serious application)
....and I ask again: what...is this about?
Ironically, that is what a good pseudorandom generator must do. Leumas' trials speak to the quality of the generator he is using and nothing at all to how coins behave.
As far as I can tell, Leumas's v1 simulator does in fact show the percentage of heads trending asymptotically towards 50% over the series.
No it does not.
Nevertheless I am glad to see you objecting to pseudo-randomness in defense of natural randomness.... which is [ B][ URL="http://www.internationalskeptics.com/forums/showthread.php?postid=14073844#post14073844"]another thing that this is about[ /URL][ /B].
Great... so you are not on the side of [ B]those who deny randomness[ /URL][ /B] in the natural world.... [B ]QED!!![ /B]
I'm one of those who denies randomness in the artificial world. Corollary to that, I'm one of those who denies that non-randomness in the artificial world can tell us much about the true nature of randomness in the natural ("real") world.
Ah... my mistake.... so you are on the side of those who deny randomness in the natural world.... right?
Ironically, that is what a good pseudorandom generator must do. Leumas' trials speak to the quality of the generator he is using and nothing at all to how coins behave.
As far as I can tell, Leumas's v1 simulator does in fact show the percentage of heads trending asymptotically towards 50% over the series.
No it does not.... you are arrantly wrong as evinced by only actually using the app which you clearly have not.
Nevertheless I am glad to see you objecting to pseudo-randomness in defense of natural randomness.... which is another thing that this is about.
Great... so you are not on the side of those who deny randomness in the natural world.... QED!!!
I'm agnostic about randomness in the natural world.