Thermal
August Member
@Leumas: I didn't mean literally "you". I meant the generic/general you, or "one", or however you say it.
@Leumas: I didn't mean literally "you". I meant the generic/general you, or "one", or however you say it.

Yes I did answer that.
No you did not.
For starters. I pointed out that your phrase "That is not just deterministic... it is not even random" only makes sense if one has a fundamental misunderstanding of what randomness actually is.
Fine... let's have a look at who is not understanding...
I said...
Let's say that one picks the 20th card from the right side of a shuffled and spread out deck of cards every time.
That is not just deterministic... it is not even random
Can you explain to me how picking the 20th card from the right side of a deck of cards spread out on a table.. is random?
I think your misunderstanding is that you did not read the rest of the post and think that I was saying that the card picked is not random in value/color.
No... that is the point I am trying to make... the fact that the deck is shuffled makes the card picked random DESPITE the non-random pick always of the 20th card from the right side.
Get it ... the action of picking the 20th card EVERY TIME is not a random process.
Are you saying that it is???
Read the whole post... and please answer its questions.
Secondly, you tell me that I am misunderstanding, which is quite possible because I am not bothering to look at the code, just what others have pointed out andwhat you have accepted. Which is that you are using a subset of the data, and that only makes sense if you are not having the truly random data regenerated every time.
That is not answering the question about the cards.
Can you answer the questions about the cards?
But from what others have pointed out about your data and what you have accepted is that you are not shuffling the cards each time. You are just using a hard-to-predict but deterministic process to decide which of the previously-shuffled cards to pick. And that people who have examined the algorithm do know the order of the shuffled cards.
(1) That is not answering the questions about the deck of cards.
(2) You are wrong... it is not hard to predict.... it is impossible to predict.
(3) read the code... I am shuffling the cards.
(4) You can verify things by going to primary sources not by using what others say... go read the code.
(5) I said multiple times that I shuffle the "cards".
(6) Read the code don't take my word (the one who wrote the code) or others' who did not.... read the code the primary source not hearsay about it.
In that case - if someone was given the seed values for your pseudorandom number generator, they could predict what the outcome would be. With 100% confidence.
How... I don't even know what the seeds are... and even the people who wrote the PRNG algorithm don't either.
So who is going to give that someone what cannot be known by anyone?
And if they are not given the seeds which no one knows... is it random then or not?
BUT...
That is why I asked you the stuff about the cards which you have so far not answered even once.
The point was to make you see that DESPITE THE ENTIRELY non-random picking of the 20th card of a shuffled deck of the cards the card that is picked will still be random in value/color.
Get that... had you bothered to read the post about the cards you would have seen that your above objection about the seeds is utterly invalid.
BECAUSE... even if the picking of the card out of a shuffled deck of cards is utterly deterministic... the card value/color is totally random.
Get that.
Please man... just read the whole card post and answer the questions.
I made the card post to respond to your claim of PRNG being a deterministic process (it is not) and thus rendering the picking of a "card" deterministic.
I think you need to read the scenario again IN FULL... not just the first two lines... and answer the questions.
When you have done that you will see that your above statement about the PRNG is wrong in all aspects.
Besides... even if I were to download a different set of numbers for each run... there is no guarantees that the numbers will be perfectly spread.
Not to mention all the shifting of the goal posts of concerns...
I don't do that... I use a random chunk selected randomly... so it is not the same set of the numbers ordered differently.
It is a randomly selected SUBSET of the numbers ordered differently.
Besides... even if I were to download a different set of numbers for each run... there is no guarantees that the numbers will be perfectly spread. THIS IS WHAT RANDOM means.
And all this new concern for the TRNG is just yet another red herring.
Not to mention that the new file will not have a bias either... and if one then claims that at least a new file is not the same... then they are just not able to understand what randomness means.
Yup... then the red herrings ring of concerns makes a full circle yet again
I don't just shuffle... I also select a SUBSET randomly.
Claiming that there is a bias in the data can be easily verified
By....
USING THE APP and testing extensively with it.
And those tests (look up post for all the samples) PROVE that the new red herring concern about bias is utterly baseless.
But...
RUN THE APP... all those CONCERNS are done without even one run of the app.... which just proves that it is all a red herring in the first place.
You did admit that, because that is the inevitable conclusion from the below statement.
You are using a pseudo random number (ie not a random number) generator to perform a pseudo shuffle on the cards. That is (by definition) not a random shuffle of the cards but a deterministic rearrangement determined by the seed values.
How the seed values interact might be unknown to the designers of the algorithm, but what inputs are used for the seed values (mouse arrow x-y position, time, etc) are defined by the designers.
If someone noted the inputs that were used to generate the seed values, which the designers of the algorithm could have done as a separate small chunk of code, then the output would be the same if someone entered those values.
This is not random but pseudo random, the clue is in the prefix.
You are trying to use a deterministic process to perform an experiment to make claims about truly random processes. When, for the last three centuries, we have had binomial statistics about this very particular type of random process.
Moreover, your assertion "That is not just deterministic... it is not even random" implies a deep misunderstanding of the relationship between deterministic and random processes. If the same input always produces the same output, that's deterministic; if the same input does not always produce the same output, that's random. You're seeming to imply that one is a subset of the other.
Let's say that one picks the 20th card from the right side of a shuffled and spread out deck of cards every time.
That is not just deterministic... it is not even random
But the deck is shuffled before one picks the 20th card from the right.
Now the deck is not even random numbers... it is the same deck of cards... no?
Do you think anyone can determine whether a red (diamonds/hearts) or black (clubs/spades) card will be drawn??
So
- We have the same deck of cards... no random numbers or changing at all.
- We have the same card position picked every single time... not random or not even unknown... fully determined
- But the cards deck is shuffled before every pick... from the same deck... from the same position
Is the resulting pick (red or black) random? Is it deterministic? If you say yes... then by whom or what?
Running Averages
--------------------------------
# Heads% Tails% Edges%
--------------------------------
1 0.01622000 -0.01622000 0.0000
2 0.02362000 -0.02362000 0.0000
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7 0.00723000 -0.00723000 0.0000
8 0.00472000 -0.00472000 0.0000
9 0.00314778 -0.00314778 0.0000
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11 0.00476182 -0.00476182 0.0000
12 0.00403833 -0.00403833 0.0000
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850 -0.00061478 0.00061478 0.0000
851 -0.00061364 0.00061364 0.0000
852 -0.00062243 0.00062243 0.0000
853 -0.00063635 0.00063635 0.0000
854 -0.00064759 0.00064759 0.0000
855 -0.00064033 0.00064033 0.0000
856 -0.00066116 0.00066116 0.0000
857 -0.00070287 0.00070287 0.0000
858 -0.00068653 0.00068653 0.0000
859 -0.00070237 0.00070237 0.0000
860 -0.00070634 0.00070634 0.0000
861 -0.00068063 0.00068063 0.0000
862 -0.00068869 0.00068869 0.0000
863 -0.00070094 0.00070094 0.0000
864 -0.00068042 0.00068042 0.0000
865 -0.00066338 0.00066338 0.0000
866 -0.00068103 0.00068103 0.0000
867 -0.00065682 0.00065682 0.0000
868 -0.00064692 0.00064692 0.0000
869 -0.00065113 0.00065113 0.0000
870 -0.00065602 0.00065602 0.0000
871 -0.00066414 0.00066414 0.0000
872 -0.00064720 0.00064720 0.0000
873 -0.00064165 0.00064165 0.0000
874 -0.00062364 0.00062364 0.0000
875 -0.00061762 0.00061762 0.0000
876 -0.00062420 0.00062420 0.0000
877 -0.00063951 0.00063951 0.0000
878 -0.00065564 0.00065564 0.0000
879 -0.00063104 0.00063104 0.0000
880 -0.00065503 0.00065503 0.0000
881 -0.00066246 0.00066246 0.0000
882 -0.00064951 0.00064951 0.0000
883 -0.00065855 0.00065855 0.0000
884 -0.00065052 0.00065052 0.0000
885 -0.00062867 0.00062867 0.0000
886 -0.00061760 0.00061760 0.0000
887 -0.00063179 0.00063179 0.0000
888 -0.00063884 0.00063884 0.0000
889 -0.00065025 0.00065025 0.0000
890 -0.00063979 0.00063979 0.0000
891 -0.00064337 0.00064337 0.0000
892 -0.00062240 0.00062240 0.0000
893 -0.00061486 0.00061486 0.0000
894 -0.00063031 0.00063031 0.0000
895 -0.00062477 0.00062477 0.0000
896 -0.00061817 0.00061817 0.0000
897 -0.00059104 0.00059104 0.0000
898 -0.00057116 0.00057116 0.0000
899 -0.00057846 0.00057846 0.0000
900 -0.00056746 0.00056746 0.0000
901 -0.00056684 0.00056684 0.0000
902 -0.00058282 0.00058282 0.0000
903 -0.00056734 0.00056734 0.0000
904 -0.00058114 0.00058114 0.0000
905 -0.00058156 0.00058156 0.0000
906 -0.00055978 0.00055978 0.0000
907 -0.00057564 0.00057564 0.0000
908 -0.00058401 0.00058401 0.0000
909 -0.00057316 0.00057316 0.0000
910 -0.00057325 0.00057325 0.0000
911 -0.00057333 0.00057333 0.0000
912 -0.00057457 0.00057457 0.0000
913 -0.00057529 0.00057529 0.0000
914 -0.00057267 0.00057267 0.0000
915 -0.00057705 0.00057705 0.0000
916 -0.00057202 0.00057202 0.0000
917 -0.00056702 0.00056702 0.0000
918 -0.00053333 0.00053333 0.0000
919 -0.00052879 0.00052879 0.0000
920 -0.00052121 0.00052121 0.0000
921 -0.00052708 0.00052708 0.0000
922 -0.00052520 0.00052520 0.0000
923 -0.00051411 0.00051411 0.0000
924 -0.00051465 0.00051465 0.0000
925 -0.00052645 0.00052645 0.0000
926 -0.00052473 0.00052473 0.0000
927 -0.00051537 0.00051537 0.0000
928 -0.00051284 0.00051284 0.0000
929 -0.00050742 0.00050742 0.0000
930 -0.00052154 0.00052154 0.0000
931 -0.00050015 0.00050015 0.0000
932 -0.00051983 0.00051983 0.0000
933 -0.00051603 0.00051603 0.0000
934 -0.00050996 0.00050996 0.0000
935 -0.00050326 0.00050326 0.0000
936 -0.00052196 0.00052196 0.0000
937 -0.00052306 0.00052306 0.0000
938 -0.00052640 0.00052640 0.0000
939 -0.00054049 0.00054049 0.0000
940 -0.00054487 0.00054487 0.0000
941 -0.00055651 0.00055651 0.0000
942 -0.00056020 0.00056020 0.0000
943 -0.00052987 0.00052987 0.0000
944 -0.00051755 0.00051755 0.0000
945 -0.00053898 0.00053898 0.0000
946 -0.00054771 0.00054771 0.0000
947 -0.00054571 0.00054571 0.0000
948 -0.00054435 0.00054435 0.0000
949 -0.00054949 0.00054949 0.0000
950 -0.00053016 0.00053016 0.0000
951 -0.00050698 0.00050698 0.0000
952 -0.00051815 0.00051815 0.0000
953 -0.00050319 0.00050319 0.0000
954 -0.00046734 0.00046734 0.0000
955 -0.00043721 0.00043721 0.0000
956 -0.00044469 0.00044469 0.0000
957 -0.00043431 0.00043431 0.0000
958 -0.00044217 0.00044217 0.0000
959 -0.00046105 0.00046105 0.0000
960 -0.00044875 0.00044875 0.0000
961 -0.00044519 0.00044519 0.0000
962 -0.00042556 0.00042556 0.0000
963 -0.00041568 0.00041568 0.0000
964 -0.00042109 0.00042109 0.0000
965 -0.00042229 0.00042229 0.0000
966 -0.00041784 0.00041784 0.0000
967 -0.00040148 0.00040148 0.0000
968 -0.00038954 0.00038954 0.0000
969 -0.00038413 0.00038413 0.0000
970 -0.00041130 0.00041130 0.0000
971 -0.00038374 0.00038374 0.0000
972 -0.00038737 0.00038737 0.0000
973 -0.00041286 0.00041286 0.0000
974 -0.00043154 0.00043154 0.0000
975 -0.00042044 0.00042044 0.0000
976 -0.00042430 0.00042430 0.0000
977 -0.00041990 0.00041990 0.0000
978 -0.00044185 0.00044185 0.0000
979 -0.00048077 0.00048077 0.0000
980 -0.00050110 0.00050110 0.0000
981 -0.00048067 0.00048067 0.0000
982 -0.00047459 0.00047459 0.0000
983 -0.00046813 0.00046813 0.0000
984 -0.00048141 0.00048141 0.0000
985 -0.00049181 0.00049181 0.0000
986 -0.00047818 0.00047818 0.0000
987 -0.00046296 0.00046296 0.0000
988 -0.00050511 0.00050511 0.0000
989 -0.00051489 0.00051489 0.0000
990 -0.00050614 0.00050614 0.0000
991 -0.00048584 0.00048584 0.0000
992 -0.00049351 0.00049351 0.0000
993 -0.00051244 0.00051244 0.0000
994 -0.00051191 0.00051191 0.0000
995 -0.00054589 0.00054589 0.0000
996 -0.00053487 0.00053487 0.0000
997 -0.00053036 0.00053036 0.0000
998 -0.00054223 0.00054223 0.0000
999 -0.00056105 0.00056105 0.0000
1000 -0.00055765 0.00055765 0.0000
================================================
Runs Data
--------------------------------
# Heads% Tails% Edges%
--------------------------------
1 50.0162 49.9838 0.0000
2 50.0310 49.9690 0.0000
3 49.9376 50.0624 0.0000
4 50.0097 49.9903 0.0000
5 50.0078 49.9922 0.0000
6 50.0092 49.9908 0.0000
7 50.0390 49.9610 0.0000
8 49.9871 50.0129 0.0000
9 49.9906 50.0094 0.0000
10 49.9945 50.0055 0.0000
11 50.0295 49.9705 0.0000
12 49.9961 50.0039 0.0000
13 50.0031 49.9969 0.0000
14 50.0020 49.9980 0.0000
15 49.9987 50.0013 0.0000
16 50.0049 49.9951 0.0000
17 49.9867 50.0133 0.0000
18 49.9866 50.0134 0.0000
19 49.9779 50.0221 0.0000
20 49.9649 50.0351 0.0000
21 50.0003 49.9997 0.0000
22 50.0028 49.9972 0.0000
23 50.0164 49.9836 0.0000
24 50.0106 49.9894 0.0000
25 50.0070 49.9930 0.0000
26 50.0119 49.9881 0.0000
27 49.9937 50.0063 0.0000
28 50.0242 49.9758 0.0000
29 49.9908 50.0092 0.0000
30 49.9920 50.0080 0.0000
31 49.9952 50.0048 0.0000
32 49.9825 50.0175 0.0000
33 49.9639 50.0361 0.0000
34 50.0217 49.9783 0.0000
35 50.0067 49.9933 0.0000
36 49.9873 50.0127 0.0000
37 49.9986 50.0014 0.0000
38 50.0059 49.9941 0.0000
39 49.9687 50.0313 0.0000
40 49.9974 50.0026 0.0000
41 49.9871 50.0129 0.0000
42 50.0236 49.9764 0.0000
43 50.0161 49.9839 0.0000
44 50.0045 49.9955 0.0000
45 50.0154 49.9846 0.0000
46 49.9860 50.0140 0.0000
47 50.0087 49.9913 0.0000
48 49.9873 50.0127 0.0000
49 50.0177 49.9823 0.0000
50 49.9986 50.0014 0.0000
51 49.9885 50.0115 0.0000
52 50.0052 49.9948 0.0000
53 49.9671 50.0329 0.0000
54 50.0027 49.9973 0.0000
55 49.9958 50.0042 0.0000
56 50.0236 49.9764 0.0000
57 49.9679 50.0321 0.0000
58 50.0258 49.9742 0.0000
59 49.9595 50.0405 0.0000
60 50.0292 49.9708 0.0000
61 50.0081 49.9919 0.0000
62 50.0019 49.9981 0.0000
63 49.9908 50.0092 0.0000
64 49.9623 50.0377 0.0000
65 49.9936 50.0064 0.0000
66 50.0072 49.9928 0.0000
67 49.9880 50.0120 0.0000
68 50.0200 49.9800 0.0000
69 49.9890 50.0110 0.0000
70 50.0085 49.9915 0.0000
71 49.9865 50.0135 0.0000
72 50.0315 49.9685 0.0000
73 49.9930 50.0070 0.0000
74 50.0076 49.9924 0.0000
75 49.9803 50.0197 0.0000
76 49.9966 50.0034 0.0000
77 49.9746 50.0254 0.0000
78 50.0021 49.9979 0.0000
79 50.0050 49.9950 0.0000
80 49.9859 50.0141 0.0000
81 50.0093 49.9907 0.0000
82 49.9698 50.0302 0.0000
83 49.9963 50.0037 0.0000
84 50.0027 49.9973 0.0000
85 50.0017 49.9983 0.0000
86 49.9908 50.0092 0.0000
87 50.0088 49.9912 0.0000
88 49.9777 50.0223 0.0000
89 49.9984 50.0016 0.0000
90 49.9837 50.0163 0.0000
91 50.0174 49.9826 0.0000
92 49.9784 50.0216 0.0000
93 49.9763 50.0237 0.0000
94 50.0548 49.9452 0.0000
95 49.9784 50.0216 0.0000
96 50.0022 49.9978 0.0000
97 50.0301 49.9699 0.0000
98 50.0259 49.9741 0.0000
99 50.0144 49.9856 0.0000
100 49.9974 50.0026 0.0000
101 49.9940 50.0060 0.0000
102 49.9989 50.0011 0.0000
103 49.9943 50.0057 0.0000
104 50.0037 49.9963 0.0000
105 50.0267 49.9733 0.0000
106 49.9832 50.0168 0.0000
107 50.0210 49.9790 0.0000
108 49.9875 50.0125 0.0000
109 50.0194 49.9806 0.0000
110 50.0158 49.9842 0.0000
111 49.9875 50.0125 0.0000
112 50.0004 49.9996 0.0000
113 50.0230 49.9770 0.0000
114 50.0195 49.9805 0.0000
115 50.0016 49.9984 0.0000
116 50.0230 49.9770 0.0000
117 50.0124 49.9876 0.0000
118 49.9866 50.0134 0.0000
119 50.0037 49.9963 0.0000
120 50.0133 49.9867 0.0000
121 50.0119 49.9881 0.0000
122 50.0040 49.9960 0.0000
123 50.0007 49.9993 0.0000
124 50.0046 49.9954 0.0000
125 49.9925 50.0075 0.0000
126 49.9803 50.0197 0.0000
127 50.0214 49.9786 0.0000
128 50.0370 49.9630 0.0000
129 49.9932 50.0068 0.0000
130 50.0165 49.9835 0.0000
131 50.0020 49.9980 0.0000
132 49.9877 50.0123 0.0000
133 50.0050 49.9950 0.0000
134 50.0049 49.9951 0.0000
135 49.9994 50.0006 0.0000
136 49.9839 50.0161 0.0000
137 49.9849 50.0151 0.0000
138 50.0034 49.9966 0.0000
139 50.0117 49.9883 0.0000
140 49.9805 50.0195 0.0000
141 49.9867 50.0133 0.0000
142 50.0027 49.9973 0.0000
143 50.0106 49.9894 0.0000
144 49.9793 50.0207 0.0000
145 49.9847 50.0153 0.0000
146 50.0074 49.9926 0.0000
147 49.9684 50.0316 0.0000
148 50.0217 49.9783 0.0000
149 49.9990 50.0010 0.0000
150 50.0106 49.9894 0.0000
151 50.0067 49.9933 0.0000
152 50.0205 49.9795 0.0000
153 50.0084 49.9916 0.0000
154 50.0143 49.9857 0.0000
155 49.9988 50.0012 0.0000
156 49.9894 50.0106 0.0000
157 49.9981 50.0019 0.0000
158 49.9990 50.0010 0.0000
159 50.0158 49.9842 0.0000
160 49.9933 50.0067 0.0000
161 49.9938 50.0062 0.0000
162 49.9947 50.0053 0.0000
163 49.9810 50.0190 0.0000
164 49.9976 50.0024 0.0000
165 49.9901 50.0099 0.0000
166 49.9978 50.0022 0.0000
167 49.9736 50.0264 0.0000
168 50.0219 49.9781 0.0000
169 49.9796 50.0204 0.0000
170 49.9688 50.0312 0.0000
171 50.0014 49.9986 0.0000
172 49.9872 50.0128 0.0000
173 49.9830 50.0170 0.0000
174 49.9902 50.0098 0.0000
175 50.0091 49.9909 0.0000
176 49.9901 50.0099 0.0000
177 49.9949 50.0051 0.0000
178 50.0243 49.9757 0.0000
179 49.9887 50.0113 0.0000
180 49.9941 50.0059 0.0000
181 50.0094 49.9906 0.0000
182 49.9911 50.0089 0.0000
183 49.9855 50.0145 0.0000
184 49.9954 50.0046 0.0000
185 50.0031 49.9969 0.0000
186 49.9941 50.0059 0.0000
187 50.0086 49.9914 0.0000
188 49.9939 50.0061 0.0000
189 49.9899 50.0101 0.0000
190 50.0008 49.9992 0.0000
191 49.9832 50.0168 0.0000
192 50.0020 49.9980 0.0000
193 49.9966 50.0034 0.0000
194 49.9970 50.0030 0.0000
195 49.9915 50.0085 0.0000
196 49.9946 50.0054 0.0000
197 49.9883 50.0117 0.0000
198 50.0054 49.9946 0.0000
199 49.9844 50.0156 0.0000
200 49.9885 50.0115 0.0000
201 49.9851 50.0149 0.0000
202 50.0001 49.9999 0.0000
203 49.9952 50.0048 0.0000
204 49.9743 50.0257 0.0000
205 49.9750 50.0250 0.0000
206 49.9978 50.0022 0.0000
207 50.0030 49.9970 0.0000
208 50.0165 49.9835 0.0000
209 50.0030 49.9970 0.0000
210 49.9937 50.0063 0.0000
211 50.0060 49.9940 0.0000
212 50.0472 49.9528 0.0000
213 50.0113 49.9887 0.0000
214 50.0121 49.9879 0.0000
215 50.0410 49.9590 0.0000
216 49.9796 50.0204 0.0000
217 50.0006 49.9994 0.0000
218 49.9992 50.0008 0.0000
219 49.9694 50.0306 0.0000
220 50.0168 49.9832 0.0000
221 50.0031 49.9969 0.0000
222 50.0001 49.9999 0.0000
223 49.9816 50.0184 0.0000
224 49.9902 50.0098 0.0000
225 49.9852 50.0148 0.0000
226 49.9933 50.0067 0.0000
227 50.0004 49.9996 0.0000
228 49.9836 50.0164 0.0000
229 49.9924 50.0076 0.0000
230 49.9899 50.0101 0.0000
231 49.9729 50.0271 0.0000
232 49.9954 50.0046 0.0000
233 50.0082 49.9918 0.0000
234 50.0246 49.9754 0.0000
235 49.9771 50.0229 0.0000
236 50.0002 49.9998 0.0000
237 50.0172 49.9828 0.0000
238 50.0010 49.9990 0.0000
239 49.9954 50.0046 0.0000
240 50.0174 49.9826 0.0000
241 49.9774 50.0226 0.0000
242 50.0145 49.9855 0.0000
243 50.0057 49.9943 0.0000
244 49.9935 50.0065 0.0000
245 49.9969 50.0031 0.0000
246 50.0208 49.9792 0.0000
247 50.0211 49.9789 0.0000
248 50.0147 49.9853 0.0000
249 49.9799 50.0201 0.0000
250 49.9875 50.0125 0.0000
251 50.0120 49.9880 0.0000
252 50.0001 49.9999 0.0000
253 49.9869 50.0131 0.0000
254 49.9906 50.0094 0.0000
255 50.0045 49.9955 0.0000
256 49.9861 50.0139 0.0000
257 50.0029 49.9971 0.0000
258 50.0079 49.9921 0.0000
259 50.0550 49.9450 0.0000
260 50.0091 49.9909 0.0000
261 49.9879 50.0121 0.0000
262 49.9908 50.0092 0.0000
263 50.0005 49.9995 0.0000
264 50.0020 49.9980 0.0000
265 49.9975 50.0025 0.0000
266 49.9628 50.0372 0.0000
267 49.9952 50.0048 0.0000
268 49.9899 50.0101 0.0000
269 49.9783 50.0217 0.0000
270 49.9869 50.0131 0.0000
271 49.9721 50.0279 0.0000
272 49.9763 50.0237 0.0000
273 49.9832 50.0168 0.0000
274 50.0055 49.9945 0.0000
275 49.9894 50.0106 0.0000
276 49.9832 50.0168 0.0000
277 50.0068 49.9932 0.0000
278 50.0031 49.9969 0.0000
279 49.9957 50.0043 0.0000
280 50.0064 49.9936 0.0000
281 49.9999 50.0001 0.0000
282 50.0009 49.9991 0.0000
283 50.0008 49.9992 0.0000
284 50.0090 49.9910 0.0000
285 50.0124 49.9876 0.0000
286 50.0255 49.9745 0.0000
287 50.0195 49.9805 0.0000
288 49.9758 50.0242 0.0000
289 50.0146 49.9854 0.0000
290 49.9955 50.0045 0.0000
291 50.0229 49.9771 0.0000
292 49.9918 50.0082 0.0000
293 50.0154 49.9846 0.0000
294 50.0155 49.9845 0.0000
295 49.9605 50.0395 0.0000
296 50.0149 49.9851 0.0000
297 49.9944 50.0056 0.0000
298 49.9807 50.0193 0.0000
299 50.0160 49.9840 0.0000
300 49.9906 50.0094 0.0000
301 50.0257 49.9743 0.0000
302 50.0128 49.9872 0.0000
303 50.0079 49.9921 0.0000
304 49.9929 50.0071 0.0000
305 50.0169 49.9831 0.0000
306 49.9758 50.0242 0.0000
307 49.9684 50.0316 0.0000
308 49.9970 50.0030 0.0000
309 50.0108 49.9892 0.0000
310 49.9790 50.0210 0.0000
311 50.0110 49.9890 0.0000
312 50.0129 49.9871 0.0000
313 50.0122 49.9878 0.0000
314 49.9841 50.0159 0.0000
315 50.0121 49.9879 0.0000
316 49.9940 50.0060 0.0000
317 49.9917 50.0083 0.0000
318 50.0024 49.9976 0.0000
319 49.9838 50.0162 0.0000
320 49.9760 50.0240 0.0000
321 50.0037 49.9963 0.0000
322 50.0082 49.9918 0.0000
323 50.0017 49.9983 0.0000
324 50.0222 49.9778 0.0000
325 50.0000 50.0000 0.0000
326 50.0100 49.9900 0.0000
327 50.0157 49.9843 0.0000
328 50.0108 49.9892 0.0000
329 50.0082 49.9918 0.0000
330 50.0294 49.9706 0.0000
331 50.0104 49.9896 0.0000
332 50.0300 49.9700 0.0000
333 50.0046 49.9954 0.0000
334 49.9790 50.0210 0.0000
335 49.9863 50.0137 0.0000
336 49.9954 50.0046 0.0000
337 49.9779 50.0221 0.0000
338 49.9879 50.0121 0.0000
339 49.9699 50.0301 0.0000
340 50.0284 49.9716 0.0000
341 49.9787 50.0213 0.0000
342 50.0104 49.9896 0.0000
343 50.0309 49.9691 0.0000
344 50.0087 49.9913 0.0000
345 50.0037 49.9963 0.0000
346 49.9977 50.0023 0.0000
347 49.9749 50.0251 0.0000
348 50.0128 49.9872 0.0000
349 50.0157 49.9843 0.0000
350 49.9956 50.0044 0.0000
351 50.0152 49.9848 0.0000
352 50.0116 49.9884 0.0000
353 50.0075 49.9925 0.0000
354 49.9838 50.0162 0.0000
355 50.0032 49.9968 0.0000
356 50.0175 49.9825 0.0000
357 49.9780 50.0220 0.0000
358 50.0031 49.9969 0.0000
359 50.0112 49.9888 0.0000
360 49.9741 50.0259 0.0000
361 50.0174 49.9826 0.0000
362 50.0200 49.9800 0.0000
363 49.9885 50.0115 0.0000
364 49.9974 50.0026 0.0000
365 49.9897 50.0103 0.0000
366 49.9975 50.0025 0.0000
367 50.0043 49.9957 0.0000
368 50.0095 49.9905 0.0000
369 50.0069 49.9931 0.0000
370 50.0090 49.9910 0.0000
371 49.9932 50.0068 0.0000
372 50.0035 49.9965 0.0000
373 49.9998 50.0002 0.0000
374 49.9875 50.0125 0.0000
375 50.0055 49.9945 0.0000
376 49.9967 50.0033 0.0000
377 50.0140 49.9860 0.0000
378 49.9998 50.0002 0.0000
379 49.9904 50.0096 0.0000
380 49.9894 50.0106 0.0000
381 49.9937 50.0063 0.0000
382 49.9996 50.0004 0.0000
383 49.9961 50.0039 0.0000
384 50.0055 49.9945 0.0000
385 49.9828 50.0172 0.0000
386 50.0023 49.9977 0.0000
387 49.9969 50.0031 0.0000
388 49.9916 50.0084 0.0000
389 49.9977 50.0023 0.0000
390 49.9714 50.0286 0.0000
391 50.0037 49.9963 0.0000
392 50.0005 49.9995 0.0000
393 50.0018 49.9982 0.0000
394 49.9997 50.0003 0.0000
395 50.0003 49.9997 0.0000
396 50.0037 49.9963 0.0000
397 50.0033 49.9967 0.0000
398 50.0263 49.9737 0.0000
399 50.0030 49.9970 0.0000
400 50.0097 49.9903 0.0000
401 50.0140 49.9860 0.0000
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989 49.9898 50.0102 0.0000
990 50.0082 49.9918 0.0000
991 50.0196 49.9804 0.0000
992 49.9919 50.0081 0.0000
993 49.9807 50.0193 0.0000
994 50.0000 50.0000 0.0000
995 49.9657 50.0343 0.0000
996 50.0104 49.9896 0.0000
997 50.0040 49.9960 0.0000
998 49.9876 50.0124 0.0000
999 49.9807 50.0193 0.0000
1000 50.0028 49.9972 0.0000
================================================
The convergence of the expected results in this context means something like this:
Given a probability p<1.0 (but arbitrarily close to 1.0) and a real number ε>0 (but arbitrarily close to 0), there is some number of unbiased random coin flips n such the the probability that (|count (heads) - count (tails)| / n < ε) is greater than p.
Of course it's a proven theorem in probability theory.
Yes... what is this "n"... infinity?
It's an integer.
Which one?
And what is this arbitrary probability? 1?
It is not 1, hence the use of the symbols "<1.0"
So it is indeterministic... QED!!!
The point is that for any possible choice of p<1.0 and ε>0, there is some number of throws n that meets the stated condition.
Why not choose 1 which is what it will have to be if it is deterministic?
What about p=1 and ε=0... what is n then?
What about 1 and 0... what is n then... if it is going to be deterministically 50% then it will have to be 1 and 0... what is n then?
So what is n for EXACTLY 50% i.e. ε=0 with p=1?
For it to be deterministically 50% exactly then you have to choose p=1 and ε=0 ... calculate n then please.
If you choose p < 1 and ε > 0 then you do not have determinism or convergence.... what you have is a guessing that is ARBITRARILY CLOSE and not deterministically EXACT certainty.
What is n when you want a deterministic exact p=1 and ε=0?
The n is a function of p and epsilon, as I explained.
What is it... you have not calculated it for p= 1 and epsilon= 0 which is what deterministic means.
For any p < 1 and epsilon > 0 you do not have determinism.
So can you calculate n for determinism.
If not then coin tossing is an indeterministic random process... QED!!!
So? I haven't calculated it for p=repetition and epsilon=paying attention which is what practice means either. I'm not describing determinism or nondeterminism, I'm describing what it means for the cumulative results of a large number of trials to converge on a statistical expectation.
So you cannot do it... I suspected that much... well get someone better than you at math to do it then... until someone does it ... a coin toss remains indeterministic and random and unpredictable no matter how many times you can humanly in the life of this universe do it.... QED!!!
Thanks for trying though...![]()
for (let i = 0; i < count; i++) {
if (Math.floor(Math.random() * edgeP) == 1) resultE++;
else if (Math.random() < 0.5) resultT++;
else resultH++;
}
Fire it up in chrome developer tools. You'll see his worker_XXXX scripts appear after each type of run. These use Math.random.
Ionically his code references https://github.com/nquinlan/better-random-numbers-for-javascript-mirror which has a decent article in Readme.MD about "Why Math.random should not be used for serious programming" linky
Code:for (let i = 0; i < count; i++) { if (Math.floor(Math.random() * edgeP) == 1) resultE++; else if (Math.random() < 0.5) resultT++; else resultH++; }
For a useful javascript book (free as in beer) try https://books.goalkicker.com/JavaScriptBook/ which is built from highest-rated items on Stackoverflow. I couldn't be bothered looking any deeper.
...
For what it is worth, what follows is the meat of Leumas' Coin Flipper 2. If you look closely, you may discover how the "edge case" is handled. There are also clues to Leumas' coding prowess.
Code:onmessage = function (e) { //console.log("Worker: Message received from main script", e.data[0]); let resultT = 0; let resultH = 0; let count = parseInt(e.data[0]); if (isNaN(count)) count = 1000; if (count > 10000000) count = 10000000; if (count < 10) count = 10; const myArray = new Int32Array(4); for (let i = 0; i < count; i++) { [B][HILITE]crypto.getRandomValues(myArray);[/HILITE][/B] const flip = myArray.reduce((a, b) => { return a + b; }, 0); if (flip > 0) resultH++; else if(flip<0) resultT++; } //console.log("Worker: Posting message back to main script", count); postMessage([resultH, resultT]); };
Fire it up in chrome developer tools.
Fire it up in chrome developer tools. You'll see his worker_XXXX scripts appear after each type of run. These use Math.random.
That's worker_Crypto. Here's TRNG
Fire it up in chrome developer tools. You'll see his worker_XXXX scripts appear after each type of run. These use Math.random.
Ionically his code references https://github.com/nquinlan/better-random-numbers-for-javascript-mirror which has a decent article in Readme.MD about "Why Math.random should not be used for serious programming" linky
That's worker_Crypto. Here's TRNG
Let's say that one picks the 20th card from the right side of a shuffled and spread out deck of cards every time.
That is not just deterministic... it is not even random
But the deck is shuffled before one picks the 20th card from the right.
Now the deck is not even random numbers... it is the same deck of cards... no?
Do you think anyone can determine whether a red (diamonds/hearts) or black (clubs/spades) card will be drawn??
So
- We have the same deck of cards... no random numbers or changing at all.
- We have the same card position picked every single time... not random or not even unknown... fully determined
- But the cards deck is shuffled before every pick... from the same deck... from the same position
Is the resulting pick (red or black) random?
Is it deterministic? If you say yes... then by whom or what?
...
Then again, Leumas' application does help demonstrate the correctness of acbytesla's assertion in the opening post. The other things Leumas claims, not so much.
... A single coin toss produces an unpredictable result. But we can predict the approximate results of ten thousand coin tosses. Now, is this random?
Ok... now that you have seen what I have described multiple times in myltiple posts...
...
maybe you would like to answer the questions in this post... only thermal so far did so and he got it totally RIGHT.
I am sure you mean the assertion that is highlighted above.... no??
So what does APPROXIMATE mean here and what does PREDICT mean here???
...
Ok... here are the results for 10,000 coin tosses using the PRNG and the TRNG and the Crypto RNG.
Don't open the spoiler and try to PREDICT THE APPROXIMATE results... see for yourself how WRONG you are.
On the contrary, I did correctly predict the approximate results before peeking. It was easy to do.
No. You did not..
The randomness is achieved by
- random byte values
- shuffling before each run
- random offset within the random bytes for random chunk of these bytes
- repeating this before each run
...
.... how are your questions relevant to anything Wudang has posted?
Re: 20th card from the right thingy.
It's an entirely random location after a deck is shuffled. Literally no different than cutting the deck and picking one off the top, or bottom, or some random location in between. There is no meaning or more significance to being 20th from the right than there is at any other point. You think it is not random, but it entirely is.