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August 21st, 2012, 09:17 PM   #1
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Number sets and creating a relationship

Firstly, My name is Tbillion and i am a mathaholic.... actually i just use it for programming.

I have come up to this problem a couple of times and i always find myself looking,(like charles darwin) for the missing link.

technical. I have a chart, it has set numbers and measured values. example

N R G B SUM (RGB)

0 255 255 50 560
0.031 254.139 254.499 49.633 558.271
0.062 253.278 253.998 49.266 556.542
0.093 252.417 253.497 48.899 554.813
0.124 251.556 252.996 48.532 553.084
0.155 250.695 252.495 48.165 551.355
0.186 249.834 251.994 47.798 549.626
0.217 248.973 251.493 47.431 547.897

in my use i have a program that measures the real world for values R G B, since any R G or B value can come up the same as a previous R G B (R number same as another R number) it takes the sum of the numbers to differentiate. I need to be able to measure R G B and ad them up and determine from the sum of R G B which N it is or is closest to.

The difference between the sum on average is 1.25 and the difference between N is 0.031 if this is of use i cannot figure out how to use it. the above is just a partial table

this is the complete table:

Code:
0	255	255	50	560
0.031 	254.139	254.499	49.633	558.271
0.062	 253.278	253.998	49.266	556.542
0.093	 252.417	253.497	48.899	554.813
0.124	 251.556	252.996	48.532	553.084
0.155	 250.695	252.495	48.165	551.355
0.186	 249.834	251.994	47.798	549.626
0.217	 248.973	251.493	47.431	547.897
0.248	 248.112	250.992	47.064	546.168
0.279	 247.251	250.491	46.697	544.439
0.31	 246.39	249.99	46.33	542.71
0.341	 245.529	249.489	45.963	540.981
0.372	 244.668	248.988	45.596	539.252
0.403	 243.807	248.487	45.229	537.523
0.434	 242.946	247.986	44.862	535.794
0.465	 242.085	247.485	44.495	534.065
0.496	 241.224	246.984	44.128	532.336
0.527	 240.363	246.483	43.761	530.607
0.558	 239.502	245.982	43.394	528.878
0.589	 238.641	245.481	43.027	527.149
0.62	 237.78	244.98	42.66	525.42
0.651	 236.919	244.479	42.293	523.691
0.682	 236.058	243.978	41.926	521.962
0.713	 235.197	243.477	41.559	520.233
0.744	 234.336	242.976	41.192	518.504
0.775	 233.475	242.475	40.825	516.775
0.806	 232.614	241.974	40.458	515.046
0.837	 231.753	241.473	40.091	513.317
0.868	 230.892	240.972	39.724	511.588
0.899	 230.031	240.471	39.357	509.859
0.93	 229.17	239.97	38.99	508.13
0.961	 228.309	239.469	38.623	506.401
0.992	 227.448	238.968	38.256	504.672
1.023	 226.587	238.467	37.889	502.943
1.054	 225.726	237.966	37.522	501.214
1.085	 224.865	237.465	37.155	499.485
1.116	 224.004	236.964	36.788	497.756
1.147	 223.143	236.463	36.421	496.027
1.178	 222.282	235.962	36.054	494.298
1.209	 221.421	235.461	35.687	492.569
1.24	 220.56	234.96	35.32	490.84
1.271	 219.699	234.459	34.953	489.111
1.302	 218.838	233.958	34.586	487.382
1.333	 217.977	233.457	34.219	485.653
1.364	 217.116	232.956	33.852	483.924
1.395	 216.255	232.455	33.485	482.195
1.426	 215.394	231.954	33.118	480.466
1.457	 214.533	231.453	32.751	478.737
1.488	 213.672	230.952	32.384	477.008
1.519	 212.811	230.451	32.017	475.279
1.55	 211.95	229.95	31.65	473.55
1.581	 211.089	229.449	31.283	471.821
1.612	 210.228	228.948	30.916	470.092
1.643	 209.367	228.447	30.549	468.363
1.674	 208.506	227.946	30.182	466.634
1.705	 207.645	227.445	29.815	464.905
1.736	 206.784	226.944	29.448	463.176
1.767	 205.923	226.443	29.081	461.447
1.798	 205.062	225.942	28.714	459.718
1.829	 204.201	225.441	28.347	457.989
1.86	 203.34	224.94	27.98	456.26
1.891	 202.479	224.439	27.613	454.531
1.922	 201.618	223.938	27.246	452.802
1.953	 200.757	223.437	26.879	451.073
1.984	 199.896	222.936	26.512	449.344
2.015	 199.035	222.435	26.145	447.615
2.046	 198.174	221.934	25.778	445.886
2.077	 197.313	221.433	25.411	444.157
2.108	 196.452	220.932	25.044	442.428
2.139	 195.591	220.431	24.677	440.699
2.17	 194.73	219.93	24.31	438.97
2.201	 193.869	219.429	23.943	437.241
2.232	 193.008	218.928	23.576	435.512
2.263	 192.147	218.427	23.209	433.783
2.294	 191.286	217.926	22.842	432.054
2.325	 190.425	217.425	22.475	430.325
2.356	 189.564	216.924	22.108	428.596
2.387	 188.703	216.423	21.741	426.867
2.418	 187.842	215.922	21.374	425.138
2.449	 186.981	215.421	21.007	423.409
2.48	 186.12	214.92	20.64	421.68
2.511	 185.259	214.419	20.273	419.951
2.542	 184.398	213.918	19.906	418.222
2.573	 183.537	213.417	19.539	416.493
2.604	 182.676	212.916	19.172	414.764
2.635	 181.815	212.415	18.805	413.035
2.666	 180.954	211.914	18.438	411.306
2.697	 180.093	211.413	18.071	409.577
2.728	 179.232	210.912	17.704	407.848
2.759	 178.371	210.411	17.337	406.119
2.79	 177.51	209.91	16.97	404.39
2.821	 176.649	209.409	16.603	402.661
2.852	 175.788	208.908	16.236	400.932
2.883	 174.927	208.407	15.869	399.203
2.914	 174.066	207.906	15.502	397.474
2.945	 173.205	207.405	15.135	395.745
2.976	 172.344	206.904	14.768	394.016
3.007	 171.483	206.403	14.401	392.287
3.038	 170.622	205.902	14.034	390.558
3.069	 169.761	205.401	13.667	388.829
3.1	 168.9	204.9	13.3	387.1
3.131	 168.039	204.399	12.933	385.371
3.162	 167.178	203.898	12.566	383.642
3.193	 166.317	203.397	12.199	381.913
3.224	 165.456	202.896	11.832	380.184
3.255	 164.595	202.395	11.465	378.455
3.286	 163.734	201.894	11.098	376.726
3.317	 162.873	201.393	10.731	374.997
3.348	 162.012	200.892	10.364	373.268
3.379	 161.151	200.391	9.997	371.539
3.41	 160.29	199.89	9.63	369.81
3.441	 159.429	199.389	9.263	368.081
3.472	 158.568	198.888	8.896	366.352
3.503	 157.707	198.387	8.529	364.623
3.534	 156.846	197.886	8.162	362.894
3.565	 155.985	197.385	7.795	361.165
3.596	 155.124	196.884	7.428	359.436
3.627	 154.263	196.383	7.061	357.707
3.658	 153.402	195.882	6.694	355.978
3.689	 152.541	195.381	6.327	354.249
3.72	 151.68	194.88	5.96	352.52
3.751	 150.819	194.379	5.593	350.791
3.782	 149.958	193.878	5.226	349.062
3.813	 149.097	193.377	4.859	347.333
3.844	 148.236	192.876	4.492	345.604
3.875	 147.375	192.375	4.125	343.875
3.906	 146.514	191.874	3.758	342.146
3.937	 145.653	191.373	3.391	340.417
3.968	 144.792	190.872	3.024	338.688
3.999	 143.931	190.371	3.602	337.904
4.03	 143.07	189.87	4.18	337.12
4.061	 142.209	189.369	4.758	336.336
4.092	 141.348	188.868	5.336	335.552
4.123	 140.487	188.367	5.914	334.768
4.154	 139.626	187.866	6.492	333.984
4.185	 138.765	187.365	7.07	333.2
4.216	 137.904	186.864	7.648	332.416
4.247	 137.043	186.363	8.226	331.632
4.278	 136.182	185.862	8.804	330.848
4.309	 135.321	185.361	9.382	330.064
4.34	 134.46	184.86	9.96	329.28
4.371	 133.599	184.359	10.538	328.496
4.402	 132.738	183.858	11.116	327.712
4.433	 131.877	183.357	11.694	326.928
4.464	 131.016	182.856	12.272	326.144
4.495	 130.155	182.355	12.85	325.36
4.526	 129.294	181.854	13.428	324.576
4.557	 128.433	181.353	14.006	323.792
4.588	 127.572	180.852	14.584	323.008
4.619	 126.711	180.351	15.162	322.224
4.65	 125.85	179.85	15.74	321.44
4.681	 124.989	179.349	16.318	320.656
4.712	 124.128	178.848	16.896	319.872
4.743	 123.267	178.347	17.474	319.088
4.774	 122.406	177.846	18.052	318.304
4.805	 121.545	177.345	18.63	317.52
4.836	 120.684	176.844	19.208	316.736
4.867	 119.823	176.343	19.786	315.952
4.898	 118.962	175.842	20.364	315.168
4.929	 118.101	175.341	20.942	314.384
4.96	 117.24	174.84	21.52	313.6
4.991	 116.379	174.339	22.098	312.816
5.022	 115.518	173.838	22.676	312.032
5.053	 114.657	173.337	23.254	311.248
5.084	 113.796	172.836	23.832	310.464
5.115	 112.935	172.335	24.41	309.68
5.146	 112.074	171.834	24.988	308.896
5.177	 111.213	171.333	25.566	308.112
5.208	 110.352	170.832	26.144	307.328
5.239	 109.491	170.331	26.722	306.544
5.27	 108.63	169.83	27.3	305.76
5.301	 107.769	169.329	27.878	304.976
5.332	 106.908	168.828	28.456	304.192
5.363	 106.047	168.327	29.034	303.408
5.394	 105.186	167.826	29.612	302.624
5.425	 104.325	167.325	30.19	301.84
5.456	 103.464	166.824	30.768	301.056
5.487	 102.603	166.323	31.346	300.272
5.518	 101.742	165.822	31.924	299.488
5.549	 100.881	165.321	32.502	298.704
5.58	 100.02	164.82	33.08	297.92
5.611	 99.159	164.319	33.658	297.136
5.642	 98.298	163.818	34.236	296.352
5.673	 97.437	163.317	34.814	295.568
5.704	 96.576	162.816	35.392	294.784
5.735	 95.715	162.315	35.97	294
5.766	 94.854	161.814	36.548	293.216
5.797	 93.993	161.313	37.126	292.432
5.828	 93.132	160.812	37.704	291.648
5.859	 92.271	160.311	38.282	290.864
5.89	 91.41	159.81	38.86	290.08
5.921	 90.549	159.309	39.438	289.296
5.952	 89.688	158.808	40.016	288.512
5.983	 88.827	158.307	40.594	287.728
6.014	 87.966	157.806	41.172	286.944
6.045	 87.105	157.305	41.75	286.16
6.076	 86.244	156.804	42.328	285.376
6.107	 85.383	156.303	42.906	284.592
6.138	 84.522	155.802	43.484	283.808
6.169	 83.661	155.301	44.062	283.024
6.2	 82.8	154.8	44.64	282.24
6.231	 81.939	154.299	45.218	281.456
6.262	 81.078	153.798	45.796	280.672
6.293	 80.217	153.297	46.374	279.888
6.324	 79.356	152.796	46.952	279.104
6.355	 78.495	152.295	47.53	278.32
6.386	 77.634	151.794	48.108	277.536
6.417	 76.773	151.293	48.686	276.752
6.448	 75.912	150.792	49.264	275.968
6.479	 75.051	150.291	49.842	275.184
6.51	 74.19	149.79	50.42	274.4
6.541	 73.329	149.289	50.998	273.616
6.572	 72.468	148.788	51.576	272.832
6.603	 71.607	148.287	52.154	272.048
6.634	 70.746	147.786	52.732	271.264
6.665	 69.885	147.285	53.31	270.48
6.696	 69.024	146.784	53.888	269.696
6.727	 68.163	146.283	54.466	268.912
6.758	 67.302	145.782	55.044	268.128
6.789	 66.441	145.281	55.622	267.344
6.82	 65.58	144.78	56.2	266.56
6.851	 64.719	144.279	56.778	265.776
6.882	 63.858	143.778	57.356	264.992
6.913	 62.997	143.277	57.934	264.208
6.944	 62.136	142.776	58.512	263.424
6.975	 61.275	142.275	59.09	262.64
7.006	 60.414	141.774	59.668	261.856
7.037	 59.553	141.273	60.246	261.072
7.068	 58.692	140.772	60.824	260.288
7.099	57.831	140.271	61.402	259.504
7.13	56.97	139.77	61.98	258.72
7.161	56.109	139.269	62.558	257.936
7.192	55.248	138.768	63.136	257.152
7.223	54.387	138.267	63.714	256.368
7.254	53.526	137.766	64.292	255.584
7.285	52.665	137.265	64.87	254.8
7.316	51.804	136.764	65.448	254.016
7.347	50.943	136.263	66.026	253.232
7.378	50.082	135.762	66.604	252.448
7.409	49.221	135.261	67.182	251.664
7.44	48.36	134.76	67.76	250.88
7.471	47.499	134.259	68.338	250.096
7.502	46.638	133.758	68.916	249.312
7.533	45.777	133.257	69.494	248.528
7.564	44.916	132.756	70.072	247.744
7.595	44.055	132.255	70.65	246.96
7.626	43.194	131.754	71.228	246.176
7.657	42.333	131.253	71.806	245.392
7.688	41.472	130.752	72.384	244.608
7.719	40.611	130.251	72.962	243.824
7.75	39.75	129.75	73.54	243.04
7.781	38.889	129.249	74.118	242.256
7.812	38.028	128.748	74.696	241.472
7.843	37.167	128.247	75.274	240.688
7.874	36.306	127.746	75.852	239.904
7.905	35.445	127.245	76.43	239.12
7.936	34.584	126.744	77.008	238.336
7.967	33.723	126.243	77.586	237.552
7.998	32.862	125.742	78.164	236.768
8.029	32.001	125.241	78.742	235.984
8.06	31.14	124.74	79.32	235.2
8.091	30.279	124.239	79.898	234.416
8.122	29.418	123.738	80.476	233.632
8.153	28.557	123.237	81.054	232.848
8.184	27.696	122.736	81.632	232.064
8.215	26.835	122.235	82.21	231.28
8.246	25.974	121.734	82.788	230.496
8.277	25.113	121.233	83.366	229.712
8.308	24.252	120.732	83.944	228.928
8.339	23.391	120.231	84.522	228.144
8.37	22.53	119.73	85.1	227.36
8.401	21.669	119.229	85.678	226.576
8.432	20.808	118.728	86.256	225.792
8.463	19.947	118.227	86.834	225.008
8.494	19.086	117.726	87.412	224.224
8.525	18.225	117.225	87.99	223.44
8.556	17.364	116.724	88.568	222.656
8.587	16.503	116.223	89.146	221.872
8.618	15.642	115.722	89.724	221.088
8.649	14.781	115.221	90.302	220.304
8.68	13.92	114.72	90.88	219.52
8.711	13.059	114.219	91.458	218.736
8.742	12.198	113.718	92.036	217.952
8.773	11.337	113.217	92.614	217.168
8.804	10.476	112.716	93.192	216.384
8.835	9.615	112.215	93.77	215.6
8.866	8.754	111.714	94.348	214.816
8.897	7.893	111.213	94.926	214.032
8.928	7.032	110.712	95.504	213.248
8.959	6.171	110.211	96.082	212.464
8.99	5.31	109.71	96.66	211.68
9.021	4.449	109.209	97.238	210.896
9.052	3.588	108.708	97.816	210.112
9.083	2.727	108.207	98.394	209.328
9.114	1.866	107.706	98.972	208.544
9.145	1.005	107.205	99.55	207.76

there has to be a way to figure a relation. i just cant see it. also in the future i may need to extrapolate beyond and N of 9.145, if i find a calculation or relation i should not need a table.
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August 22nd, 2012, 01:48 AM   #2
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Re: Number sets and creating a relationship

Hey tbillion.

You might be interested in looking at this:

http://en.wikipedia.org/wiki/Central_limit_theorem

This is a good visual explanation of what is going on:

http://www.statisticalengineering.com/c ... heorem.htm
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August 23rd, 2012, 12:02 PM   #3
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Re: Number sets and creating a relationship

ok, if i read all of that correctly, then i think it only applies to the combination of rgb but im not a mathematician nor a math major so i there a dumbed up version of this answer?even if i apply the information from the wiki i can extrapolate rgb from R G B but i cannot extrapolate N. Unless i missed something.
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August 23rd, 2012, 08:53 PM   #4
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Re: Number sets and creating a relationship

I don't really understand the question.
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August 23rd, 2012, 09:30 PM   #5
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Re: Number sets and creating a relationship

a picture shows an image of a man whose name is both travis and jacob.

a vial contains a fluid thats human numeric value is .031, and computer numeric value is 558.271

is there a way to mathematically figure the next human numeric value from only knowing the computer number? the program i am designing will know the sum of numbers R G B (relates to supplied table.) but the use needs to know the N.

how would i create an equation that will be able to generate N from the sum of R G B.
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August 23rd, 2012, 10:09 PM   #6
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Re: Number sets and creating a relationship

To be real clear this is not really statistical information... After much youtube i dont think that Central limit theorem has much to do with this, mainly because there is no deviation. I can draw up the averages all day long ... being (RGB) = 349.75 and N being 4.57, but there is no deviation as this is non statistical information. these are real samples for the actual values.

kinda like thee is no deviation from a combo lock code. Im not looking for the probability that something will happen i am merely looking to extrapolate mathematically what N is from SUM(RGB)
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August 24th, 2012, 05:06 AM   #7
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Re: Number sets and creating a relationship

Quote:
Originally Posted by tbillion
a vial contains a fluid thats human numeric value is .031, and computer numeric value is 558.271
So you have a bunch of these pairs of numbers, and you want to do... what with them exactly?

My best guess is you get an RGB triplet, compute a value from that, and then look up that value on the list. I guess you want to take the closest match in some sense?
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August 24th, 2012, 09:38 AM   #8
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Re: Number sets and creating a relationship

Yes i have an RGB triplet, but i am trying to avoid the lookup table like the plague, due to memory limitations, and speed limitations.

if i use a lookup table for all the elements one could ever possibly need then the array would be comprised of 1024 or more elements each element is 2bytes, for just this one test, seeing as there is 10-15 tests I am talking about you are looking at 30kB of just table store information not to mention code space for parsing code which will get more complicated as the table gets larger.

speed will depend on where i store the information if i have to access it over I2C then it will be slower, but as the size of the table grows an eeprom will become the only viable option.

Which is why i wanted to see if there was any way to calculate the N(0.031) from the rgb sum (558.271) or even the rgb average.

Quote:
So you have a bunch of these pairs of numbers, and you want to do... what with them exactly?
Display to the user that based on the color the item is N. because the user can understand N values and how they relate tot he real world and the hardware understands RGB.
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August 24th, 2012, 11:40 AM   #9
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Re: Number sets and creating a relationship

I still don't understand what you're doing well enough to give advice. If anyone else understands, feel free to give an explanation.
CRGreathouse is offline  
August 24th, 2012, 08:33 PM   #10
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Re: Number sets and creating a relationship

is there an equation or system that will give these results:

0.031 = 558.271
0.062 = 556.542
0.093 = 554.813
0.124 = 553.084
0.155 = 551.355
0.186 = 549.626
0.217 = 547.897
0.248 = 546.168
0.279 = 544.439
0.31 = 542.71
0.341 = 540.981

so on and so forth all the way down. I cannot give the complete details because i am seeking a patent for the idea as it is.

this is the same as saying;

red = $ff $00 $00

if you show a user the hex value they wouldnt know what it was you show them the word red and they know what it is same thing. feel free to ask questions and ill do my best to answer
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