[SYS]CEPの概念。

誤差ミル	17.7
目標サイズ、半径ｍ	2
標的までの距離ｍ	20
σからCEP基準値	1.177410023
ミルからラジアン	0.017376934
タンジェント	0.347573672
幅正規分布	5.754175762
確率	0.999993541
標的誤差	5.754175762

 

距離	誤差	標準偏差	確率	CEP
0	0	#DIV/0!	#DIV/0!	#DIV/0!
5	0.086893418	11.50835152	100.00000000000000000	67.75024213
10	0.173786836	5.754175762	100.00000000000000000	67.75024213
15	0.260680254	3.836117174	99.99999999998350000	67.75024213
20	0.347573672	2.877087881	99.99999354140760000	67.75024213
25	0.43446709	2.301670305	99.99749684213130000	67.75024213
30	0.521360508	1.918058587	99.93624625183930000	67.75024213
35	0.608253926	1.644050218	99.55095494455910000	67.75024213
40	0.695147344	1.43854394	98.40583059880320000	67.75024213
45	0.782040762	1.278705725	96.20002865975740000	67.75024213
50	0.868934181	1.150835152	92.92670029465200000	67.75024213
55	0.955827599	1.046213775	88.79854522335450000	67.75024213
60	1.042721017	0.959029294	84.10990730630740000	67.75024213
65	1.129614435	0.885257809	79.14054323091780000	67.75024213
70	1.216507853	0.822025109	74.11355100471410000	67.75024213
75	1.303401271	0.767223435	69.18792717821220000	67.75024213
80	1.390294689	0.71927197	64.46685752716820000	67.75024213
85	1.477188107	0.676961854	60.01055750694180000	67.75024213
90	1.564081525	0.639352862	55.84853889308680000	67.75024213
95	1.650974943	0.605702712	51.98955286172230000	67.75024213
100	1.737868361	0.575417576	48.42900448276120000	67.75024213
105	1.824761779	0.548016739	45.15420648428100000	67.75024213
110	1.911655197	0.523106887	42.14796937088360000	67.75024213
115	1.998548615	0.50036311	39.39098145519190000	67.75024213
120	2.085442033	0.479514647	36.86333939517040000	67.75024213
125	2.172335451	0.460334061	34.54549699477120000	67.75024213
130	2.259228869	0.442628905	32.41882341684510000	67.75024213
135	2.346122287	0.426235242	30.46590390128450000	67.75024213
140	2.433015705	0.411012554	28.67067406932080000	67.75024213
145	2.519909124	0.396839708	27.01844932161320000	67.75024213
150	2.606802542	0.383611717	25.49589038595180000	67.75024213
155	2.69369596	0.371237146	24.09093209706770000	67.75024213
160	2.780589378	0.359635985	22.79269302968950000	67.75024213
165	2.867482796	0.348737925	21.59137724773060000	67.75024213
170	2.954376214	0.338480927	20.47817519040920000	67.75024213
175	3.041269632	0.328810044	19.44516790847470000	67.75024213
180	3.12816305	0.319676431	18.48523702378610000	67.75024213
185	3.215056468	0.311036528	17.59198159554080000	67.75024213
190	3.301949886	0.302851356	16.75964232106150000	67.75024213
195	3.388843304	0.295085936	15.98303303255820000	67.75024213
200	3.475736722	0.287708788	15.25747917545100000	67.75024213
205	3.56263014	0.280691501	14.57876280257810000	67.75024213
210	3.649523558	0.27400837	13.94307354759190000	67.75024213
215	3.736416976	0.267636082	13.34696502044100000	67.75024213
220	3.823310394	0.261553444	12.78731607838090000	67.75024213
225	3.910203812	0.255741145	12.26129645447290000	67.75024213
230	3.99709723	0.250181555	11.76633626357170000	67.75024213
235	4.083990648	0.244858543	11.30009894793460000	67.75024213
240	4.170884066	0.239757323	10.86045726742050000	67.75024213
245	4.257777485	0.234864317	10.44547198072180000	67.75024213
250	4.344670903	0.23016703	10.05337290303490000	67.75024213
255	4.431564321	0.225653951	9.68254206142278000	67.75024213
260	4.518457739	0.221314452	9.33149870164262000	67.75024213
265	4.605351157	0.217138708	8.99888592941115000	67.75024213
270	4.692244575	0.213117621	8.68345879509675000	67.75024213
275	4.779137993	0.209242755	8.38407365388596000	67.75024213
280	4.866031411	0.205506277	8.09967865382255000	67.75024213
285	4.952924829	0.201900904	7.82930522202555000	67.75024213
290	5.039818247	0.198419854	7.57206043511753000	67.75024213
295	5.126711665	0.195056805	7.32712017368244000	67.75024213
300	5.213605083	0.191805859	7.09372297264872000	67.75024213

　距離、標準偏差に関わらずCEPは不動です。悪戦苦闘の結果、数式の理解が及びました。ただし、この値は恐らく、目安であって、直径を半径にする、円にする操作が必要なはず。

　CEPは、以下のようにr/CEPと考えればよいのです。

半径r/cep	ロール
0.1	0.69075
0.2	2.73451
0.3	6.04773
0.4	10.49749
0.5	15.91036
0.6	22.08354
0.7	28.79749
0.8	35.82871
0.9	42.96181
1	50.00000
1.1	56.77314
1.2	63.14327
1.3	69.00731
1.4	74.29715
1.5	78.97759
1.6	83.04245
1.7	86.50965
1.8	89.41568
1.9	91.81004
2	93.75000
2.1	95.29610
2.2	96.50848
2.3	97.44406
2.4	98.15470
2.5	98.68610
2.6	99.07735
2.7	99.36101
2.8	99.56356
2.9	99.70601
3	99.80469

　

携帯電話にiアプリ実装か、計算サイトを立ち上げると結果が出てくるような形式を考えています。
　現時点で一様分布かその組み合わせにしか頼れなかったTRPGの限界を突破したいと思います。