The Wave Matrix - Excel 2007 Addin

Eagle Sun

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Mar 10, 2013, 12:01 pm

In our earlier pick 3 example we looked at the Whole # for analysis.

Below is a short table of the numbers.

Index	Year	Month	Day	A	B	C	Whole #
1	2000	1	1	5	3	0	530
2	2000	1	2	6	9	7	697
3	2000	1	3	4	9	6	496
4	2000	1	4	3	1	0	310
5	2000	1	5	7	5	7	757
6	2000	1	6	2	9	2	292
7	2000	1	7	2	2	7	227
8	2000	1	8	6	5	8	658
9	2000	1	9	4	0	3	403
10	2000	1	10	1	3	7	137
…	…	…	…	…	…	…	…

We used settings of Waves = 4 and Amp / Freq = 0.67; all others set to default.

The following table shows the last 11 lines of our analysis, including the Quantum Projection line.

	Type =	Linear	BMA Degree 1	BMA Degree 2	BMA Degree 3	BMA Degree 4	Algorithm	Predictor
	A =	497.8033156	-0.266	0.153	0.177	0.236	Wave / BMA = 0.50	Depth = 25
	B =	5.88688E-05					Amp / Freq = 0.67	Level = 25
	Index	Regression	Wave 1	Wave 2	Wave 3	Wave 4	Remainder	Data
	…	…	…	…	…	…	…	…
	4800	498.0858857	-4.839512112	-6.117054716	-6.638886532	-4.442334345	163.951902	640
	4801	498.0859446	3.387495277	-5.186659881	-8.892287086	-7.762134828	-179.632358	300
	4802	498.0860034	12.06733231	-1.575903744	-8.736390449	-8.60006825	-200.2409733	291
	4803	498.0860623	21.04819846	5.220305424	-5.501837693	-6.058735272	243.2060068	756
	4804	498.0861212	29.92126325	13.85081514	-0.475201067	-1.637303407	-461.7456951	78
	4805	498.08618	38.30614556	23.61981691	5.900291512	4.48013158	352.6074344	923
	4806	498.0862389	45.57329501	31.18103559	10.20994973	8.140936678	64.80854411	658
	4807	498.0862978	51.3962981	35.521241	11.60628467	8.504643081	-37.11476462	568
	4808	498.0863566	55.66819909	36.83745166	10.48314883	6.154581297	302.7702625	910
Quantum	4809	498.0864155	58.442329	35.9511859	7.812580063	2.221334487	-171.513845	431
Projection ->	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-175.9950912	423.5935882

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Eagle Sun

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Mar 10, 2013, 12:12 pm

Something to note.

If you see numbers like 78, as see in the table, it means 078 because the leading 0 drops off in Excel.

You can format the cell to include the leading 0 by selecting the cell or cells and then right clicking the selected cell or cells.

Click on 'Format Cells...', then select the 'Number' tab if not already selected.

In the 'Category:' list select 'Custom'.

Under 'Type:' is a text box possibly with the word 'General' in it, click in the text box and delete 'General' and type in ' 000 '; just the zeros not the quotes, then click 'OK'.

Your numbers should now be modified to include the leading 0.

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Eagle Sun

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Mar 10, 2013, 12:35 pm

In the Quantum Projection line we can see the number generated is a decimal.

We need to modify the decimal number to be an integer and within the range of possible numbers for this analysis.

In this case, the set of numbers we working with are 000 to 999, or in terms of math for our Integer-Modulus, 0 to 999.

The Integer-Modulus works out to ' = INT(MOD( X , 1000)) ' for this set of integers.

Below we have added in the Quantum Projection line the modified number for that projection.

	Type =	Linear	BMA Degree 1	BMA Degree 2	BMA Degree 3	BMA Degree 4	Algorithm	Predictor
	A =	497.8033156	-0.266	0.153	0.177	0.236	Wave / BMA = 0.50	Depth = 25
	B =	5.88688E-05					Amp / Freq = 0.67	Level = 25
	Index	Regression	Wave 1	Wave 2	Wave 3	Wave 4	Remainder	Data
	…	…	…	…	…	…	…	…
	4800	498.0858857	-4.839512112	-6.117054716	-6.638886532	-4.442334345	163.951902	640
	4801	498.0859446	3.387495277	-5.186659881	-8.892287086	-7.762134828	-179.632358	300
	4802	498.0860034	12.06733231	-1.575903744	-8.736390449	-8.60006825	-200.2409733	291
	4803	498.0860623	21.04819846	5.220305424	-5.501837693	-6.058735272	243.2060068	756
	4804	498.0861212	29.92126325	13.85081514	-0.475201067	-1.637303407	-461.7456951	078
	4805	498.08618	38.30614556	23.61981691	5.900291512	4.48013158	352.6074344	923
	4806	498.0862389	45.57329501	31.18103559	10.20994973	8.140936678	64.80854411	658
	4807	498.0862978	51.3962981	35.521241	11.60628467	8.504643081	-37.11476462	568
	4808	498.0863566	55.66819909	36.83745166	10.48314883	6.154581297	302.7702625	910
Quantum	4809	498.0864155	58.442329	35.9511859	7.812580063	2.221334487	-171.513845	431
Projection ->	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-175.9950912	423.5935882	423

Now we have a playable number.

Also, if the projected outcome is outside the range of 0 to 999, the Integer-Modulus will bring it back in range and helps to keep the distribution of those projections even throughout the set of integers 0 to 999.

Example, if the Quantum Projection had something like 1010.0192893, then it would be modified to become 10 or 010 with the leading 0.

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Eagle Sun

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Mar 10, 2013, 1:02 pm

As we have shown before, we can copy and paste the Quantum Projection line several times to see what other numbers can be generated.

The following shows an additional 9 lines to give a set of 10 numbers to play or work with.

	Type =	Linear	BMA Degree 1	BMA Degree 2	BMA Degree 3	BMA Degree 4	Algorithm	Predictor
	A =	497.8033156	-0.266	0.153	0.177	0.236	Wave / BMA = 0.50	Depth = 25
	B =	5.88688E-05					Amp / Freq = 0.67	Level = 25
	Index	Regression	Wave 1	Wave 2	Wave 3	Wave 4	Remainder	Data
	…	…	…	…	…	…	…	…
	4800	498.0858857	-4.839512112	-6.117054716	-6.638886532	-4.442334345	163.951902	640
	4801	498.0859446	3.387495277	-5.186659881	-8.892287086	-7.762134828	-179.632358	300
	4802	498.0860034	12.06733231	-1.575903744	-8.736390449	-8.60006825	-200.2409733	291
	4803	498.0860623	21.04819846	5.220305424	-5.501837693	-6.058735272	243.2060068	756
	4804	498.0861212	29.92126325	13.85081514	-0.475201067	-1.637303407	-461.7456951	078
	4805	498.08618	38.30614556	23.61981691	5.900291512	4.48013158	352.6074344	923
	4806	498.0862389	45.57329501	31.18103559	10.20994973	8.140936678	64.80854411	658
	4807	498.0862978	51.3962981	35.521241	11.60628467	8.504643081	-37.11476462	568
	4808	498.0863566	55.66819909	36.83745166	10.48314883	6.154581297	302.7702625	910
Quantum	4809	498.0864155	58.442329	35.9511859	7.812580063	2.221334487	-171.513845	431
Projection ->	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-175.9950912	423.5935882	423
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-188.5645113	411.0241681	411
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-180.8192989	418.7693805	418
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	30.22854973	629.8172291	629
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	250.4268206	850.0155	850
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	125.1616047	724.7502842	724
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-184.6767304	414.9119491	414
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-359.5017663	240.0869131	240
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	-286.8017509	312.7869285	312
	4810	498.0864744	59.49497016	35.27231782	6.439932543	0.294984511	249.0572573	848.6459367	848

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Eagle Sun

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Mar 10, 2013, 1:34 pm

For those that like statistical numbers to play with, we can extend the number of copy and pastes to 1,500 and see what kind of average, standard deviation and distribution the Quantum Projection will produce.

For our sample set, on our computer, we get an average of μ = 544.4913333 and a standard deviation of σ = 260.8769233.

The 50% range we like to work with comes out to 368.5325225 to 720.4501442 for this sample set.

This means we could expect a whole number to be somewhere in the range of 369 to 720; the actual whole number that was picked for the next draw was 422.

Below is a graph of the distribution for this set and shows there is a peak near 400.

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Eagle Sun

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Mar 10, 2013, 2:31 pm

In this next data set, we looked at the occurrence of the number 5 in column A for our Pick 3 samples.

It looks at when the number 5 is picked relative to a draw Index assigned for that draw.

Below is a repost of the short list pick 3 data with 5 and its associated Index number highlighted in red.

Index	Year	Month	Day	A	B	C
1	2000	1	1	5	3	0
2	2000	1	2	6	9	7
3	2000	1	3	4	9	6
4	2000	1	4	3	1	0
5	2000	1	5	7	5	7
6	2000	1	6	2	9	2
7	2000	1	7	2	2	7
8	2000	1	8	6	5	8
9	2000	1	9	4	0	3
10	2000	1	10	1	3	7
11	2000	1	11	8	5	9
12	2000	1	12	9	8	3
13	2000	1	13	0	7	7
14	2000	1	14	4	6	6
15	2000	1	15	2	1	6
16	2000	1	16	4	2	7
17	2000	1	17	4	4	2
18	2000	1	18	8	0	7
19	2000	1	19	8	3	5
20	2000	1	20	1	2	1
21	2000	1	21	9	7	3
22	2000	1	22	0	5	2
23	2000	1	23	9	8	6
24	2000	1	24	6	6	6
25	2000	1	25	9	6	2
26	2000	1	26	5	6	6
...	...	...	...	...	...	...

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Eagle Sun

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Mar 10, 2013, 2:39 pm

From that we are able to create an Index list of when the number 5 hit in column A.

The list of Index numbers, below, are then used to make a Wave Matrix to analyze and approximate the next time a 5 will occur in column A.

Number 5 Draw Index in Column A
1	996	1977	2960	3931
26	1001	1985	2973	3935
53	1003	1990	3000	3939
65	1008	2005	3020	3941
81	1013	2011	3023	3949
103	1019	2039	3025	3950
112	1023	2058	3039	3954
129	1024	2061	3043	3964
156	1025	2069	3049	3989
160	1041	2073	3056	3994
205	1054	2091	3062	4006
228	1060	2106	3065	4017
231	1061	2114	3067	4018
239	1099	2117	3106	4019
255	1112	2173	3122	4025
257	1113	2174	3123	4026
262	1120	2177	3127	4031
270	1121	2196	3143	4062
274	1175	2202	3169	4100
282	1181	2208	3172	4115
285	1191	2221	3175	4151
287	1203	2244	3176	4171
290	1213	2248	3193	4201
302	1233	2249	3197	4203
306	1236	2265	3209	4206
319	1238	2287	3218	4219
337	1245	2289	3241	4220
342	1247	2324	3250	4227
346	1248	2327	3255	4229
349	1258	2336	3269	4231
366	1265	2340	3277	4242
367	1266	2346	3278	4256
376	1285	2357	3279	4285
380	1290	2360	3285	4288
384	1309	2369	3295	4289
405	1312	2373	3302	4297
415	1316	2378	3310	4300
422	1356	2393	3312	4303
424	1359	2405	3323	4309
432	1367	2406	3333	4313
438	1369	2409	3334	4327
451	1371	2410	3367	4337
489	1375	2416	3385	4350
496	1377	2427	3396	4352
510	1379	2428	3401	4364
514	1384	2435	3407	4376
516	1415	2438	3412	4377
517	1429	2440	3430	4380
528	1438	2450	3435	4397
543	1454	2451	3437	4415
551	1456	2455	3442	4434
562	1457	2462	3455	4436
567	1459	2471	3479	4444
571	1467	2475	3481	4445
576	1474	2486	3490	4447
577	1476	2491	3500	4461
609	1478	2508	3508	4463
614	1486	2513	3528	4466
620	1489	2520	3531	4469
629	1491	2526	3535	4473
650	1504	2563	3538	4497
652	1505	2568	3546	4503
654	1529	2587	3585	4504
661	1531	2594	3590	4505
667	1535	2595	3599	4529
668	1569	2598	3604	4533
679	1579	2602	3606	4552
695	1581	2629	3616	4571
708	1583	2631	3622	4576
711	1588	2649	3633	4584
748	1601	2656	3647	4596
764	1617	2659	3667	4601
767	1628	2664	3674	4621
768	1638	2674	3677	4631
772	1645	2680	3680	4676
781	1671	2684	3682	4677
788	1682	2692	3689	4682
811	1687	2704	3691	4715
820	1690	2721	3694	4725
823	1749	2752	3716	4727
847	1768	2757	3728	4762
874	1772	2780	3743	4768
877	1788	2795	3813	4778
890	1795	2798	3819	4781
891	1799	2822	3820	4785
910	1802	2824	3828	4787
917	1814	2826	3830	4807
934	1826	2827	3837
937	1829	2841	3838
938	1833	2842	3843
946	1840	2857	3851
948	1847	2876	3853
962	1876	2883	3858
964	1884	2886	3859
965	1901	2896	3860
966	1908	2912	3879
967	1924	2917	3893
974	1952	2919	3907
984	1956	2932	3912
986	1968	2955	3915

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Eagle Sun

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Mar 10, 2013, 2:47 pm

In the following Wave Matrix, we had a setting of Amp / Freq = 0.90 and everything else set to default.

The short list that follows shows the first 10 lines and the last 31 lines with the Quantum Projection.

	Type =	Linear	BMA Degree 1	BMA Degree 2	BMA Degree 3	BMA Degree 4	BMA Degree 5	BMA Degree 6	BMA Degree 7	BMA Degree 8	Algorithm	Predictor
	A =	28.31013765	-2.116	-1.24	-0.636	0.021	0.664	1.276	1.854	2.15	Wave / BMA = 0.50	Depth = 25
	B =	9.734994807									Amp / Freq = 0.90	Level = 25
	Index	Regression	Wave 1	Wave 2	Wave 3	Wave 4	Wave 5	Wave 6	Wave 7	Wave 8	Remainder	Data
	1	38.04513246	18.96078997	-2.972189035	-15.42680224	-17.95035921	-9.437734464	-4.100218602	-3.087169942	-1.744203738	-1.287245192	1
	2	47.78012727	19.04301835	-2.307719562	-13.96065417	-16.18908449	-7.641138834	-1.312854994	0.164692237	0.310532255	0.113081941	26
	3	57.51512207	19.13351384	-1.507855818	-12.04163353	-13.70737543	-5.46488175	1.364315725	2.912643143	1.986029889	2.810121844	53
	4	67.25011688	19.2316382	-0.588967853	-9.739760489	-10.69988694	-3.65454221	1.982173032	2.033486324	0.356650928	-1.170907876	65
	5	76.98511169	19.3367007	0.430360604	-7.136492352	-7.328418185	-2.328678441	1.434203359	1.152472679	-0.118765118	-1.426494937	81
	6	86.7201065	19.44796371	1.529840761	-4.321433457	-3.722982844	-1.348009603	0.301089899	0.979054968	0.923893239	2.490476827	103
	7	96.4551013	19.5646486	2.688026248	-1.389040073	0.008028417	-0.473621949	-1.628817981	-1.275559989	-0.610284575	-1.338480003	112
	8	106.1900961	19.68594185	3.882883534	1.564801556	3.770830729	0.822767004	-2.683377635	-2.273013659	-0.75754737	-1.203382118	129
	9	115.9250909	19.81100132	5.092352906	4.4455033	7.441518619	2.806066979	-2.276364232	-1.966125716	0.101693141	4.619262766	156
	10	125.6600857	19.9389626	6.294898783	7.163008126	10.84888065	5.329797574	-0.950899529	-3.357091435	-3.20723633	-7.720406164	160
	…	…	…	…	…	…	…	…	…	…	…	…
	458	4486.937759	6.666368791	-10.33281228	-11.25093735	-3.240234019	-0.918621417	-1.403042367	-0.684129224	-0.06380539	0.28945386	4466
	459	4496.672754	6.842454741	-10.59963444	-12.26092093	-4.724027562	-1.874196588	-2.031811187	-1.878593926	-1.120954441	-0.025069884	4469
	460	4506.407749	7.022803883	-10.76632171	-13.14916747	-6.061530167	-2.311038968	-1.426156103	-1.505177733	-1.564730915	-3.646429835	4473
	461	4516.142744	7.207202984	-10.82748756	-13.88414344	-7.208380906	-2.351482814	0.415291087	2.232736026	1.942024473	3.331496332	4497
	462	4525.877739	7.395395267	-10.77893404	-14.4380869	-8.159416596	-2.552691997	0.564646417	2.231820318	1.713255459	1.146273437	4503
	463	4535.612733	7.587080041	-10.6177896	-14.78715913	-8.894866476	-2.934541245	-0.853683635	-0.536773344	-0.435098096	-0.139901953	4504
	464	4545.347728	7.781912763	-10.34263919	-14.91233933	-9.384348573	-3.099601054	-1.896504856	-2.589090207	-2.036843539	-3.868274262	4505
	465	4555.082723	7.979505534	-9.953626423	-14.80028136	-9.614256306	-2.739259831	-1.006602182	-0.624952622	0.519630151	4.157119982	4529
	466	4564.817718	8.179428058	-9.452528606	-14.44406388	-9.616134163	-2.163396617	-0.007075109	-0.792086926	-0.924063342	-2.597797271	4533
	467	4574.552713	8.381209065	-8.842778502	-13.84245122	-9.424729836	-1.554675657	1.685645178	1.127110722	0.210297459	-0.292339879	4552
	468	4584.287707	8.584338159	-8.129469147	-13.00006294	-9.082037642	-1.365288019	2.714777427	2.915652128	1.684761935	2.389620628	4571
	469	4594.022702	8.788268116	-7.31930938	-11.92673727	-8.60151185	-1.892292139	1.733810892	1.647017265	0.416313558	-0.868261475	4576
	470	4603.757697	8.992417601	-6.420545324	-10.63713288	-7.942902051	-2.853121901	-0.213610882	0.15639071	-0.104426756	-0.734765609	4584
	471	4613.492692	9.196174274	-5.442857387	-9.151262925	-7.040207996	-3.758723236	-2.20497074	-0.926897821	0.127853539	1.708200398	4596
	472	4623.227687	9.398898268	-4.397221598	-7.494986471	-5.83537107	-4.135508273	-3.753876968	-2.789590766	-1.306177983	-1.913851843	4601
	473	4632.962682	9.59992602	-3.295736636	-5.700108425	-4.304990744	-3.555248142	-3.439547714	-2.365609358	-0.873132237	1.971765726	4621
	474	4642.697676	9.798574387	-2.151429955	-3.804383311	-2.49911804	-2.125223662	-1.728818185	-1.331359984	-1.555045257	-6.30087231	4631
	475	4652.432671	9.994145058	-0.978025681	-1.849951662	-0.524086688	-0.20848702	1.230162319	3.87120295	3.841816016	8.190553584	4676
	476	4662.167666	10.18592916	0.210288668	0.118141929	1.46081166	1.287062484	1.085915604	1.111247813	0.341442139	-0.968505389	4677
	477	4671.902661	10.37321209	1.399135969	2.055719044	3.341105429	2.51409937	0.297290965	-1.764969168	-2.379655158	-5.738599282	4682
	478	4681.637656	10.55527845	2.574187333	3.921019886	5.017234443	3.746618763	1.096871021	0.604703355	1.272980448	4.573450754	4715
	479	4691.37265	10.73141706	3.721394659	5.676338899	6.37852156	4.666473159	1.176947289	-0.364514437	0.098119732	1.542651729	4725
	480	4701.107645	10.90092603	4.827223744	7.290699313	7.352140627	5.294374798	1.386985975	-2.033136566	-2.631658309	-6.495200773	4727
	481	4710.84264	11.06311785	5.878844609	8.740979646	7.896702635	5.673198357	3.405398099	2.061890848	1.555169384	4.882058606	4762
	482	4720.577635	11.21732433	6.864283864	10.0120566	7.980502995	5.163695409	3.816336724	2.481010272	0.970266953	-1.083111924	4768
	483	4730.31263	11.36290156	7.772569468	11.09793818	7.651504561	3.705675519	2.713616793	1.909696705	0.820849302	0.65261833	4778
	484	4740.047624	11.4992346	8.593814749	12.00048656	7.024397266	1.55974887	0.373580968	0.080475108	-0.030024711	-0.149337796	4781
	485	4749.782619	11.62574207	9.319278644	12.72767495	6.265974109	-0.684546449	-2.005188128	-1.687290033	-0.824482604	0.480218239	4785
	486	4759.517614	11.74188047	9.941391542	13.29084461	5.551150063	-2.442312448	-3.330795136	-2.480562951	-1.64057902	-3.148631133	4787
Quantum	487	4769.252609	11.84714818	10.45376363	13.70192088	5.023690587	-3.372776694	-2.90555253	-0.008360407	1.004837212	2.002720331	4807
Projection ->	488	4778.987604	11.89706587	10.6824153	13.87162544	4.821004732	-3.595017432	-2.051928387	3.044818632	4.851165316	-0.909980693	4821.598772

The One Over None
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JADELottery

Eagle Sun

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Mar 10, 2013, 3:08 pm

There are a few ways to look at the Wave Matrix to guess a projection for this type of data.

The data we are looking at is a much more familiar line than the other data sets we've been looking at.

We can look at a graph of the data and its Linear Regression and see the fairly straight line the data is.

The One Over None
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Eagle Sun

IA, MN, WI
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Mar 10, 2013, 3:22 pm

When we remove the Regression part, we are left with a deviation from the regression as seen below.

As we can see, the original data appears to oscillate about the Regression line like some kind of wave.

This is where the Wave Matrix comes in; it makes a best guess as to what waves might be present to generate the wave like pattern we see here.

The One Over None
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Eagle Sun

IA, MN, WI
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December 7, 2001
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Mar 10, 2013, 3:34 pm

Now we will add in Wave 1 of our Wave Matrix.

We can see Wave 1 follows the general pattern of the Deviation from Regression, graphed below.

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Eagle Sun

IA, MN, WI
United States
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December 7, 2001
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Mar 10, 2013, 3:41 pm

Here's where it gets interesting.

We will now bring in Wave 2 in to the graph, see next.

We can see here that wave also follows the Deviation from Regression fairly well.

However, that's not where the real Mathemagics come in.

The One Over None
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Eagle Sun

IA, MN, WI
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December 7, 2001
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Mar 10, 2013, 3:49 pm

When we sum Wave 1 and 2 together it begins to approach the original wave we are looking for.

As we see in the following graph, the sum of Wave 1 and 2 are much more closer to the actual wave than if they were separate.