0001ベッセル関数
2019/06/15(土) 22:22:31.75ID:IIziHdYA実数または複素数の1変数関数で、代数関数、指数関数、対数関数、
三角関数、逆三角関数および、それらの合成関数を作ることを
有限回繰り返して得られる関数のことである
ガンマ関数、楕円関数、ベッセル関数、誤差関数などは初等関数でない
初等関数のうちで代数関数でないものを初等超越関数という
双曲線関数やその逆関数も初等関数である
初等関数の導関数はつねに初等関数になる
探検
■初等関数研究村■
■ このスレッドは過去ログ倉庫に格納されています
実数または複素数の1変数関数で、代数関数、指数関数、対数関数、
三角関数、逆三角関数および、それらの合成関数を作ることを
有限回繰り返して得られる関数のことである
ガンマ関数、楕円関数、ベッセル関数、誤差関数などは初等関数でない
初等関数のうちで代数関数でないものを初等超越関数という
双曲線関数やその逆関数も初等関数である
初等関数の導関数はつねに初等関数になる
0010１３２人目の素数さん
2019/06/15(土) 22:38:56.54ID:IIziHdYA宝：1個 同等
宝：2〜16個 短軸有利
宝：17〜43個 長軸有利
宝：44〜56個 同等
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短軸有利☆
Table[sum[C(2n-1+C(0,n-2 mod18)+3C(0,n-4)+3C(1,n-7)+7C(0,n-11)+C(1,n-16)+C(1,n-18),k-1),{n,1,27}],{k,1,56}]
長軸有利☆
Table[sum[C(2n-1+C(0,n-1 mod14)+C(0,n-3 mod18)+3C(1,n-5)+3C(1,n-9)-19C(0,n-14)-C(1,n-17)-C(1,n-19),k-1),{n,1,27}],{k,1,56}]
同等☆
Table[sum[C(2n-1-3C(1,n-20)-3C(1,n-18)-8C(1,n-16),k-2),{n,16,27}],{k,1,56}]+Table[C(55,k-1)+C(1,k),{k,1,56}]
0011１３２人目の素数さん
2019/06/15(土) 22:39:36.29ID:IIziHdYA7 * 8 [3] : 13213 , 12546 , 1961
7 * 8 [4] : 169815 , 161494 , 35981
7 * 8 [5] : 1708176 , 1634573 , 477067
7 * 8 [6] : 14026034 , 13521709 , 4920693
7 * 8 [7] : 96716833 , 93921622 , 41278945
7 * 8 [8] : 571625198 , 558773693 , 290095184
7 * 8 [9] : 2940723248 , 2890925540 , 1744319612
7 * 8 [10] : 13327198939 , 13162957237 , 9116895304
7 * 8 [11] : 53717709609 , 53254225291 , 41930280380
7 * 8 [12] : 194070976396 , 192951568390 , 171360762514
7 * 8 [13] : 632475500322 , 630177011156 , 627260220922
7 * 8 [14] : 1869295969469 , 1865362789969 , 2070073204362
7 * 8 [15] : 5032748390589 , 5027434867987 , 6193066240064
7 * 8 [16] : 12389874719763 , 12385213035831 , 16873864084671
7 * 8 [17] : 27980641402960 , 27981556314178 , 42035336024662
7 * 8 [18] : 58125229289763 , 58139877526913 , 96062882957224
7 * 8 [19] : 111326498505381 , 111364943071921 , 201964537970498
7 * 8 [20] : 196977669970830 , 197048666795639 , 391587225396961
7 * 8 [21] : 322510102010304 , 322617018858127 , 701638985697449
7 * 8 [22] : 489306306855569 , 489444206271532 , 1163831929136799
7 * 8 [23] : 688690248074025 , 688846020744196 , 1789759515397979
7 * 8 [24] : 900050700996225 , 900206640621300 , 2554774361679750
7 * 8 [25] : 1092975958236546 , 1093115221856691 , 3388349400127275
7 * 8 [26] : 1233862233565383 , 1233973593552186 , 4178612556991503
7 * 8 [27] : 1295273249461927 , 1295353120172050 , 4794316279376103
7 * 8 [28] : 1264553645519991 , 1264605044607097 , 5119531910633352
0012１３２人目の素数さん
2019/06/15(土) 22:41:15.00ID:IIziHdYAn(n+1)/2-1
https://i.stack.imgur.com/3aEGX.png
大きな数字のところでは誤差があります
http://codepad.org/VN03aiqT
0013１３２人目の素数さん
2019/06/15(土) 22:44:09.62ID:IIziHdYA短軸8 * 9 [18] : 13325129660655316
長軸8 * 9 [18] : 13308110914669040
から誤差がある
0014１３２人目の素数さん
2019/06/15(土) 22:46:47.37ID:IIziHdYA短軸有利☆
Table[sum[C(2n-1+C(0,n-2)+3C(0,n-4)+3C(1,n-7)+7C(0,n-11)+C(1,n-12)+9C(0,n-16)+C(1,n-22)+C(1,n-24)+C(1,n-26),k-1),{n,1,35}],{k,1,72}]
{35, 1259, 28901, 487245, 6460920, 70274262, 645084445, 5101533131, 35303844988,
216412209627, 1186682990705, 5867639936202, 26336848147168, 107913286582509,
405577089880106, 1403922286907797, 4491874681282838, 13325129660655319,
36749474808714593, 94449719219262517, 226689450187793573,
509035059085166018, 1071176160573816479, 2115432026610089700,
3925691963352022341, 6853294513073859630, 11266129211141121742,
17454698843693046407, 25505307844551837326, 35172169563389617239,
45797547548960471211, 56330082290098069195, 65468524173196415705,
71914624215592018826, 74671243825552686388, 73292765675007905651,
68001993326895424179, 59631707476231518911, 49411792162802982783,
38676208214646507895, 28584945063602478482, 19938274802884300793,
13116714709717265237, 8132639200776732766, 4748278261200713338,
2608024858933092322, 1346074794408997564, 652006213752455743,
295956138898867441, 125683998661458955, 49842381651879601,
18418955705334457, 6327555809439679, 2015233315978833,
593168628408153, 160782910480936, 39968340729272, 9068194179784,
1867271369048, 346638007264, 57550022756, 8461928362, 1088598639,
120646033, 11286483, 866713, 52461, 2347, 69, 1, 0, 0}
0015１３２人目の素数さん
2019/06/15(土) 22:47:24.45ID:IIziHdYA同等☆
Table[sum[C(2n-1-3C(0,n-28)-3C(1,n-26)-3C(1,n-24)-8C(0,n-23)-8C(1,n-21)-15C(0,n-20),k-2),{n,20,35}],{k,1,72}]+Table[C(71,k-1)+C(1,k),{k,1,72}]
{2, 87, 3295, 78607, 1362299, 18460078, 204473689, 1907116083, 15299719813, 107274376311,
665613316422, 3691399441605, 18447776156424, 83642334863742, 346035607900560,
1312638938412806, 4584809892945575, 14798849190259082, 44283503920739404,
123188383908980963, 319353810087020272, 773186685811315639, 1751591017389233568,
3719181606403019809, 7412653767304185445, 13886128424486382893,
24477720915701752696, 40642683785697114854, 63620630278918684964,
93961096384315847204, 131013012205871839238, 172557237876989179559,
214781731322670114329, 252731141418076935138, 281209274772956576193,
295926350847761236653, 294548347126207473781, 277298087576831730532,
246896780442822393205, 207866926373152892934, 165440348653912344087,
124431016360680033348, 88399759656981333882, 59288415686663225877,
37514631338865127956, 22377473721141027910, 12572352774184755184,
6646249228402815124, 3302093433054131533, 1539874630017375451,
673008134822102446, 275211143609823985, 105099248767176058,
37401623133599593, 12373255757373154, 3794739201203181,
1075517359850959, 280687932668752, 67172923268624, 14670008286928,
2907185390840, 519288075532, 82935807842, 11727724279, 1450536738,
154505482, 13886622, 1024096, 59502, 2554, 72, 1}
0016１３２人目の素数さん
2019/06/15(土) 22:48:28.18ID:IIziHdYAいやぁ、この出力は圧巻ですね
Haskell先生もびっくり
しかし誤差あり
0017１３２人目の素数さん
2019/06/15(土) 22:50:21.89ID:IIziHdYAもとの 4x3 型の12部屋で宝箱の数を変えてみると
1と8以上で有利不利無し、それ以外は長軸優先有利となるな
初見での印象よりも随分奥深いなこれ
計算式お願いする
プログラムで計算したので式はなんとも
4x5だと宝箱を増やすと途中で短軸有利から長軸有利に
変わっちゃうので自分でもびっくりした
0018１３２人目の素数さん
2019/06/15(土) 22:51:12.21ID:IIziHdYA宝を1からマックスまで変化させるロジックは完全に解明された
0019１３２人目の素数さん
2019/06/15(土) 22:58:41.60ID:IIziHdYA□□★■■■■■■
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{69, 67, 65, 63, 61, 59, 57, 56, 52, 50, 48, 46, 44, 43, 42, 37, 35, 33, 32, 31, 30, 24, 23, 22, 21, 20, 15, 14, 13, 12, 8, 7, 6, 3, 2}
35項目、合計1210
8x9マス長軸は三角数の位置2 6 12 20 30 42 56で1上がっている
つまり、最大マスから一回りづつ小さいマスの総数は全て数える
8x9マスでは8(8+1)/2-1=35 35項
>>4[8,] 1259 1210 87 から合計1210
0020１３２人目の素数さん
2019/06/15(土) 23:01:52.38ID:IIziHdYA8 * 9 [3] : 28901 , 27444 , 3295
8 * 9 [4] : 487245 , 462938 , 78607
8 * 9 [5] : 6460920 , 6168325 , 1362299
8 * 9 [6] : 70274262 , 67504568 , 18460078
8 * 9 [7] : 645084445 , 623551570 , 204473689
8 * 9 [8] : 5101533131 , 4960367131 , 1907116083
8 * 9 [9] : 35303844988 , 34509440319 , 15299719813
8 * 9 [10] : 216412209627 , 212525346318 , 107274376311
8 * 9 [11] : 1186682990705 , 1169989129225 , 665613316422
8 * 9 [12] : 5867639936202 , 5804244923649 , 3691399441605
8 * 9 [13] : 26336848147168 , 26122841703128 , 18447776156424
8 * 9 [14] : 107913286582509 , 107268699582069 , 83642334863742
8 * 9 [15] : 405577089880106 , 403841343528838 , 346035607900560
8 * 9 [16] : 1403922286907797 , 1399743796844505 , 1312638938412806
8 * 9 [17] : 4491874681282838 , 4482908439962531 , 4584809892945575
8 * 9 [18] : 13325129660655316 , 13308110914669040 , 14798849190259080
8 * 9 [19] : 36749474808714576 , 36721381656941040 , 44283503920739408
8 * 9 [20] : 94449719219262544 , 94410951895703376 , 123188383908980944
8 * 9 [21] : 226689450187793600 , 226649637879721216 , 319353810087020288
8 * 9 [22] : 509035059085166144 , 509020882643576960 , 773186685811315328
8 * 9 [23] : 1071176160573816448 , 1071238534080555904 , 1751591017389233920
8 * 9 [24] : 2115432026610089728 , 2115648029075918592 , 3719181606403020288
8 * 9 [25] : 3925691963352023040 , 3926156660554725888 , 7412653767304184832
8 * 9 [26] : 6853294513073858560 , 6854100615782599680 , 13886128424486381568
8 * 9 [27] : 11266129211141124096 , 11267338149222707200 , 24477720915701743616
8 * 9 [28] : 17454698843693041664 , 17456312814286665728 , 40642683785697116160
8 * 9 [29] : 25505307844551831552 , 25507254963487424512 , 63620630278918684672
8 * 9 [30] : 35172169563389628416 , 35174310810267590656 , 93961096384315801600
0021１３２人目の素数さん
2019/06/15(土) 23:04:32.17ID:IIziHdYAsum[C(2n-1+C(0,3mod n)+C(0,n-6 mod15)+C(0,n-10 mod18)+C(0,n-15)-C(0,n-5 mod22)-3C(0,n-9)-3C(1,n-13)-7C(0,n-20)-C(1,n-23)-C(1,n-25),k-1),{n,1,35}],k=16
1399743796844505
>>20
8 * 9 [16] : 1399743796844505
0022１３２人目の素数さん
2019/06/15(土) 23:06:15.76ID:IIziHdYA8 * 9 [26] : 6854100615782599680
0023１３２人目の素数さん
2019/06/15(土) 23:08:04.50ID:IIziHdYAa=n(n+1)/2-1
b=n(n+1)
を満たす差分追尾数列αを見つけてくれ〜(・ω・)ノ
0024１３２人目の素数さん
2019/06/16(日) 09:55:29.60ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
sgssl;slg;ld;l
0025１３２人目の素数さん
2019/06/16(日) 09:56:05.37ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
sgssl;slg;ld;l
0026１３２人目の素数さん
2019/06/16(日) 09:56:37.12ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
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sgssl;slg;ld;l
0027１３２人目の素数さん
2019/06/16(日) 09:57:13.23ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;l
0028１３２人目の素数さん
2019/06/16(日) 09:57:45.34ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;l
0029１３２人目の素数さん
2019/06/16(日) 09:58:19.64ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;l
0030１３２人目の素数さん
2019/06/16(日) 09:58:52.08ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;l
0031１３２人目の素数さん
2019/06/16(日) 09:59:26.32ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;l
0032１３２人目の素数さん
2019/06/16(日) 09:59:59.33ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
sgssl;slg;ld;l
0033１３２人目の素数さん
2019/06/16(日) 10:00:32.22ID:v/YL6uW043bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
sgssl;slg;ld;l
0034１３２人目の素数さん
2019/06/16(日) 14:23:23.52ID:EELeRVzV■初等関数研究所■
https://rio2016.5ch.net/test/read.cgi/math/1549700978/
0035１３２人目の素数さん
2019/06/16(日) 14:30:33.11ID:EELeRVzV2 3 6 7 8 12 13 15 17
2 3 6 7 8 12 13 14 16 20 21 23 25 27
2 3 6 7 8 12 13 14 15 20 21 22 24 26 30 31 33 35 37 39
2 3 6 7 8 12 13 14 15 20 21 22 23 25 30 31 32 34 36 38 42 43 45 47 49 51 53
長軸choose数え上げ
0036１３２人目の素数さん
2019/06/16(日) 14:32:47.12ID:EELeRVzV□□■■■■■■■■■■■■■
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0037１３２人目の素数さん
2019/06/16(日) 14:34:27.18ID:EELeRVzV1 x 2 のドミノで埋める場合の数を考えます
たとえば、2x2の正方形を1x2のドミノで埋める場合の数は、2通りです
4x4の正方形を1x2のドミノで埋める場合の数は、36通りです
一般に、n=0,1,2,3,,,,のとき、
1, 2, 36, 6728, 12988816, 258584046368,,,
となり、一般項は、
Π[j=1 to n]Π[k=1 to n]{4cos^2 πj/(2n+1)+4cos^2 πk/(2n+1)}
となるようなのですが、
どのようにその公式が導かれるのでしょうか?
0038１３２人目の素数さん
2019/06/16(日) 14:35:06.18ID:EELeRVzVhttps://en.wikipedia.org/wiki/Domino_tiling
によると
Temperley & Fisher (1961) and Kasteleyn (1961)
によって独立に発見されたとある
多分元論文は
Temperley, H. N. V.; Fisher, Michael E. (1961),
"Dimer problem in statistical mechanics-an exact result",
Philosophical Magazine, 6 (68): 1061-1063, doi:10.1080/14786436108243366
Kasteleyn, P. W. (1961), "The statistics of dimers on a lattice. I.
The number of dimer arrangements on a quadratic lattice", Physica,
27 (12): 1209-1225, Bibcode:1961Phy....27.1209K, doi:10.1016/0031-8914(61)90063-5.
原論文読むのが早い
0039１３２人目の素数さん
2019/06/16(日) 14:35:42.04ID:EELeRVzVhttps://inis.iaea.org/collection/NCLCollectionStore/_Public/38/098/38098203.pdf?r=1&;r=1
Section2
A famous result of Kasteleyn [8] and Temperley and Fisher [18] counts the
number of domino tilings of a chessboard (or any other rectangular region).
In this section we explain Kasteleyn's proof.
「ドミノによるタイル張り」(京大･理) 36p.
http://www.ms.u-tokyo.ac.jp/~kazushi/proceedings/domino.pdf
「長方形領域のドミノタイル張りについて」(青学大･理工) 17p.
http://www.gem.aoyama.ac.jp/~kyo/sotsuken/2010/fujino_sotsuron_2010.pdf
0040１３２人目の素数さん
2019/06/16(日) 14:37:52.98ID:EELeRVzVhttps://ja.wikipedia.org/wiki/%E3%83%89%E3%83%9F%E3%83%8E%E3%82%BF%E3%82%A4%E3%83%AA%E3%83%B3%E3%82%B0
■Die Kasteleyn-Fisher-Temperley-Formel fur die Anzahl der Domino ...
http://oops.uni-oldenburg.de/1773/1/Bachelorarbeit%20von%20Ina%20Lammers.pdf
0041１３２人目の素数さん
2019/06/16(日) 14:38:18.25ID:EELeRVzV平面内を有限種類の平面図形（タイル）で隙間なく敷き詰める操作である
敷き詰めたタイルからなる平面全体を平面充填形という
平面敷き詰め、タイル貼り、タイリング (tiling) 、テセレーション
(tessellation) ともいう
ただし「平面」を明言しない場合は、曲面充填や、
場合によっては2次元以外の空間の充填を含む
広義のテセレーション等については、空間充填を参照
平面充填は広義の空間充填の一種で、2次元ユークリッド空間の
充填である
多面体は多角形による球面充填（曲面充填の一種）と
考えることができる
そのため、多角形による平面充填は多面体と共通点が多く、
便宜上多面体に含めて論じられることもある
0042１３２人目の素数さん
2019/06/16(日) 14:39:19.69ID:EELeRVzV正方形に関してニコライ・ルジン (Nikolai Luzin) が考えた問題である
「任意の正方形を、2個以上の全て異なる大きさの正方形に分割できるか」
という問題であり、ルジンはこの問題の解は存在しないと予想したが、
その後幾つかの例が発見された
2, 4, 6, 7, 8, 9, 11, 15, 16, 17, 18, 19, 24, 25, 27, 29, 33, 35, 37, 42, 50 の
計21枚の正方形
0043１３２人目の素数さん
2019/06/16(日) 14:41:16.79ID:EELeRVzV{0, 1, 0, 3, 0, 0, 3, 3, 0, 0, 7, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}
こういう数列を簡単に作る方法は？
0044１３２人目の素数さん
2019/06/16(日) 14:42:12.13ID:EELeRVzVTable[(1-C(0,n-13))/4,{n,0,13}]
同じ出力で遥かに式を短くできる
0045１３２人目の素数さん
2019/06/16(日) 15:37:29.54ID:EELeRVzVリスト長が8になるようにリストの左側にゼロを足し加える：
In[3]:=IntegerDigits[56, 2, 8]
Out[3]={0,0,1,1,1,0,0,0}
0046１３２人目の素数さん
2019/06/16(日) 15:38:38.53ID:EELeRVzV328
Table[2n-1,{n,1,9}]+IntegerDigits[328, 2, 9]
{2, 3, 6, 7, 9, 12, 13, 15, 17}
0047１３２人目の素数さん
2019/06/16(日) 15:39:17.47ID:EELeRVzVMod[{1, 2, 3, 4, 5, 6, 7}, 3]
{1,2,0,1,2,0,1}
0048１３２人目の素数さん
2019/06/16(日) 15:41:38.60ID:EELeRVzVIntegerDigits[56, 2, 8];
FromDigits[%, 2]
0049１３２人目の素数さん
2019/06/16(日) 15:47:46.87ID:EELeRVzV1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 3, 2, 1, 3, 3, 2,
0050１３２人目の素数さん
2019/06/16(日) 15:52:05.86ID:EELeRVzVChu-Vandermonde identity
0051１３２人目の素数さん
2019/06/16(日) 15:52:53.28ID:EELeRVzVk個取り残す場合の数は等しい
C(n,k)=C(n,n-k)
0052１３２人目の素数さん
2019/06/16(日) 16:03:46.47ID:EELeRVzVy=ax^2-(-a+2)x-a-a+2
=a(x^2-(-a+2)x/a)-a-a+2
=a{(x-(-a+2)/(2a))^2-(-a+2)^2/(4a^2)}-a-a+2
=a(x-(-a+2)/(2a))^2-(-a+2)^2/(4a)-a-a+2
=a(x-(-a+2)/(2a))^2-(-a+2)^2/(4a)-2a+2
=a(x-(-a+2)/(2a))^2-(a^2-4a+4)/(4a)-2a+2
=a(x-(-a+2)/(2a))^2-(a^2-4a+4)/(4a)-(8a^2)/(4a)+(8a)/(4a)
=a(x-(-a+2)/(2a))^2-(a^2-4a+4+8a^2-8a)/(4a)
=a(x-(-a+2)/(2a))^2-(9a^2-12a+4)/(4a)
0053１３２人目の素数さん
2019/06/16(日) 16:05:15.31ID:EELeRVzV2〜10までの数字が描かれたカードが各スートに1枚ずつと、
ジョーカーのカードが24枚ある
全てを混ぜて無作為に切り直して12枚のカードを無作為に引いたとき
その12枚のカードのうちジョーカー以外にいずれも違う数字が
書かれている確率はいくらか
Sum[choose(24,k)*choose(9,12-k)*4^(12-k),{k,3,12}]/(choose(60,12))
Sum[C(24,k)C(9,12-k)4^(12-k),{k,3,12}]/(C(60,12))
出力 7371811052/66636135475
0054１３２人目の素数さん
2019/06/16(日) 16:10:09.29ID:EELeRVzV164
0055１３２人目の素数さん
2019/06/16(日) 16:12:02.14ID:EELeRVzVhttps://lecture.ecc.u-tokyo.ac.jp/~nkiyono/2006/miya-gamma.pdf
0056１３２人目の素数さん
2019/06/16(日) 16:13:34.08ID:EELeRVzV1Ｆ1[a; b; z] = 1+Σ[k=1, ∞] {a(a+1)････(a+k-1)/b(b+1)････(b+k-1)} z^k/k!
1Ｆ1[-n; -2n; z] = {n!/(2n)!} Σ[k=0, n] {(2n-k)!/(n-k)!k!} z^k
0057１３２人目の素数さん
2019/06/16(日) 16:25:52.29ID:EELeRVzV33を3つの立方数の合計で表すこと、すなわち
33＝x^3＋y^3＋z^3という方程式の解を求めることに成功した
(8866128975287528)^3+(-8778405442862239)^3+(-2736111468807040)^3=33
https://fabcross.jp/news/2019/20190507_33.html
0058１３２人目の素数さん
2019/06/16(日) 16:29:58.29ID:EELeRVzVchooseを一つにした式に変形できますか？
三つならできた
短軸有利☆
Table[sum[C(2n-1+C(0,n-2)+C(1,n-4),k-1),{n,1,9}],{k,1,20}]
0059１３２人目の素数さん
2019/06/16(日) 16:30:44.92ID:EELeRVzV{0, 1, 0, 0, 0, 1, 0, 0, 0, 1}
0060１３２人目の素数さん
2019/06/16(日) 16:31:28.62ID:EELeRVzVTable[C(9,k-1)+C(7,k-1)+C(6,k-1)+C(3,k-1)+C(2,k-1),{k,1,12}]
Table[sum[C(2n-1+C(0,n-1)+C(0,n-3),k-1),{n,1,5}],{k,1,12}]
Table[sum[C(2n-1+C(0,3mod n),k-1),{n,1,5}],{k,1,12}]
{5, 27, 76, 140, 176, 153, 92, 37, 9, 1, 0, 0}
同じ出力で式が短くなってゆく
0061１３２人目の素数さん
2019/06/16(日) 16:50:10.60ID:EELeRVzV{1, 1, 0, 0, 0, 0, 0, 0, 0, 0}
Table[C(0,3mod n),{n,1,10}]
{1, 0, 1, 0, 0, 0, 0, 0, 0, 0}
Table[C(0,4mod n),{n,1,10}]
{1, 1, 0, 1, 0, 0, 0, 0, 0, 0}
0062１３２人目の素数さん
2019/06/16(日) 16:51:36.43ID:EELeRVzV{1, 0, 0, 0, 1, 0, 0, 0, 0, 0}
Table[C(0,6mod n),{n,1,10}]
{1, 1, 1, 0, 0, 1, 0, 0, 0, 0}
Table[C(0,7mod n),{n,1,10}]
{1, 0, 0, 0, 0, 0, 1, 0, 0, 0}
0063１３２人目の素数さん
2019/06/16(日) 16:54:05.34ID:EELeRVzV{1, 1, 0, 1, 0, 0, 0, 1, 0, 0}
Table[C(0,9mod n),{n,1,10}]
{1, 0, 1, 0, 0, 0, 0, 0, 1, 0}
0064１３２人目の素数さん
2019/06/16(日) 17:22:07.01ID:nIWOtqoQhttps://pbs.twimg.com/media/D9F0S6KUcAAk_1s.jpg
1. スマホでたいむばんくを入手 iOS https://t.co/ik17bynKNT Android https://t.co/uxTzFEk2ee
2. 会員登録を済ませる
3. マイページへ移動する
4. 紹介コード → 入力する [Rirz Tu]（空白抜き）
今なら更に16日23:59までの登録で倍額の600円を入手可
両方ゲットしてもおつりが来ます
数分で終えられるのでぜひお試し下さい 👀
Rock54: Caution(BBR-MD5:b73a9cd27f0065c395082e3925dacf01)
0065１３２人目の素数さん
2019/06/16(日) 18:31:06.53ID:EELeRVzVTable[C(9,k-1)+C(7,k-1)+C(5,k-1)+C(4,k-1)+C(1,k-1),{k,1,12}]
Table[sum[C(2n-1+C(0,n-2),k-1),{n,1,5}],{k,1,12}]
{5, 26, 73, 133, 167, 148, 91, 37, 9, 1, 0, 0}
k-1を一つにして式を短縮
0066１３２人目の素数さん
2019/06/16(日) 18:51:46.55ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
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sgssl;slg;ld;1
0067１３２人目の素数さん
2019/06/16(日) 18:52:28.35ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0068１３２人目の素数さん
2019/06/16(日) 18:53:01.86ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0069１３２人目の素数さん
2019/06/16(日) 18:53:35.73ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0070１３２人目の素数さん
2019/06/16(日) 18:54:09.04ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0071１３２人目の素数さん
2019/06/16(日) 18:54:44.39ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0072１３２人目の素数さん
2019/06/16(日) 18:55:22.94ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0073１３２人目の素数さん
2019/06/16(日) 18:56:01.09ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0074１３２人目の素数さん
2019/06/16(日) 18:56:32.97ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0075１３２人目の素数さん
2019/06/16(日) 18:57:08.49ID:zJ8JQdgV43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0076１３２人目の素数さん
2019/06/16(日) 19:16:23.12ID:/0Kk14kuツイで見かけて既に貰ってる
0077１３２人目の素数さん
2019/06/16(日) 22:01:47.14ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0078１３２人目の素数さん
2019/06/16(日) 22:02:26.03ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0079１３２人目の素数さん
2019/06/16(日) 22:03:10.11ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0080１３２人目の素数さん
2019/06/16(日) 22:04:38.95ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0081１３２人目の素数さん
2019/06/16(日) 22:05:20.91ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0082１３２人目の素数さん
2019/06/16(日) 22:05:57.52ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0083１３２人目の素数さん
2019/06/16(日) 22:06:35.07ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0084１３２人目の素数さん
2019/06/16(日) 22:07:09.72ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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sgssl;slg;ld;1
0085１３２人目の素数さん
2019/06/16(日) 22:07:48.69ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
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G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
sgssl;slg;ld;1
0086１３２人目の素数さん
2019/06/16(日) 22:08:24.69ID:6lblwiV+43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
sgssl;slg;ld;1
0087１３２人目の素数さん
2019/06/16(日) 22:18:08.44ID:EELeRVzV0088１３２人目の素数さん
2019/06/17(月) 14:53:37.54ID:X7cct7i/連続投稿・コピー＆ペースト
連続投稿で利用者の会話を害しているものは削除対象になります
個々の内容に違いがあっても、荒らしを目的としていると判断したものは同様です
コピー＆ペーストやテンプレートの存在するものは、アレンジが施してあれば
残しますが、全く変更されていない・一部のみの変更で内容の変わらないもの、
スレッドの趣旨と違うもの、不快感を与えるのが目的なもの、
などは荒らしの意図があると判断して削除対象になります
※お手数ですが削除依頼できる方お願いします<(_ _)>
0089１３２人目の素数さん
2019/06/17(月) 14:54:09.03ID:X7cct7i/情報セキュリティにおける可用性を侵害する攻撃手法で、
ウェブサービスを稼働しているサーバやネットワークなどの
リソース（資源）に意図的に過剰な負荷をかけたり
脆弱性をついたりする事でサービスを妨害する攻撃、
サービス妨害攻撃である
0090１３２人目の素数さん
2019/06/17(月) 15:01:06.19ID:c4q4I6XG0091１３２人目の素数さん
2019/06/17(月) 15:01:53.14ID:X7cct7i/https://rio2016.5ch.net/test/read.cgi/math/1549700978/698-722
https://rio2016.5ch.net/test/read.cgi/math/1549700978/724-745
https://rio2016.5ch.net/test/read.cgi/math/1549700978/753-762
https://rio2016.5ch.net/test/read.cgi/math/1549700978/776-785
https://rio2016.5ch.net/test/read.cgi/math/1549700978/797-814
https://rio2016.5ch.net/test/read.cgi/math/1560604951/24-33
https://rio2016.5ch.net/test/read.cgi/math/1560604951/66-75
https://rio2016.5ch.net/test/read.cgi/math/1560604951/77-86
数学板において連続大量レス投下によって
■初等関数研究所■
https://rio2016.5ch.net/test/read.cgi/math/1549700978/
スレッドが機能不全に陥りました
他者の書き込みを妨害し、サーバー運営に多大な負荷をかけ
5ch掲示板において著しく公益性を損なう行為であるため
ここを巡回している運営の方々、厳重な対処をお願いします<(_ _)>
0092１３２人目の素数さん
2019/06/17(月) 15:04:11.50ID:X7cct7i/荒らし依頼・ブラクラの張付け等第3者に迷惑がかかる行為
アダルト広告・勧誘・悪質な掲示板宣伝などのアドレス等張りつけ
煽り・煽りに対する返答・叩き・誹謗中傷等（差別発言等含む）
コピペ・アスキーアート等必要以上の張り付け または
第3者に迷惑が掛かる行為や発言であった場合は削除対象にします
0093１３２人目の素数さん
2019/06/17(月) 15:04:22.87ID:c4q4I6XG了解です。削除依頼出しておきます
0094１３２人目の素数さん
2019/06/17(月) 15:05:51.60ID:c4q4I6XGhttps://qb5.5ch.net/test/read.cgi/saku/1356355525/
0095１３２人目の素数さん
2019/06/17(月) 15:05:52.76ID:X7cct7i/レス・発言
スレッドの趣旨から外れすぎ、議論または会話が成立しないほどの
状態になった場合は削除対象になります
故意にスレッドの運営・成長を妨害していると判断した場合も同様です
■投稿目的による削除対象
レス・発言
議論を妨げる煽り、不必要に差別の意図をもった発言、
第三者を不快にする暴言や排他的馴れ合い、
同一の内容を複数行書いたもの、
過度な性的妄想・下品である、等は削除対象とします
0096１３２人目の素数さん
2019/06/17(月) 15:07:45.93ID:X7cct7i/おお、これは助かりまする
0097１３２人目の素数さん
2019/06/17(月) 15:27:01.00ID:X7cct7i/0098１３２人目の素数さん
2019/06/17(月) 15:28:29.60ID:X7cct7i/In[1]:=IntegerLength[100!, 2]
Out[1]=525
0099１３２人目の素数さん
2019/06/17(月) 15:32:44.22ID:X7cct7i/小数で表すと近似になる
0100１３２人目の素数さん
2019/06/17(月) 15:36:56.16ID:X7cct7i/1 5 1 7 1 9 1 11 1 13 1 15 1 17 1
かなりエレガント☆
0101１３２人目の素数さん
2019/06/17(月) 16:01:48.57ID:c4q4I6XG0102１３２人目の素数さん
2019/06/17(月) 16:59:13.50ID:HeBIOqjx0103１３２人目の素数さん
2019/06/17(月) 21:19:09.22ID:7YNei1Bm0104１３２人目の素数さん
2019/06/17(月) 21:19:53.35ID:7YNei1Bm0105１３２人目の素数さん
2019/06/17(月) 21:53:12.85ID:X7cct7i/Table[C(9,k-1)+C(7,k-1)+C(5,k-1)+C(4,k-1)+C(1,k-1),{k,1,12}]
Cの数は宝一つの時の当たり数の5
9+7+5+4+1=26は宝二個の時の当たり数になる
長軸有利☆
Table[C(9,k-1)+C(7,k-1)+C(6,k-1)+C(3,k-1)+C(2,k-1),{k,1,12}]
Cの数は宝一つの時の当たり数の5
9+7+6+3+2=27は宝二個の時の当たり数になる
同様に20マスの場合は
短軸有利のCの数は宝一つの時の当たり数の9
17+15+13+11+10+8+5+4+1=84
長軸有利のCの数は宝一つの時の当たり数の9
17+15+13+12+8+7+6+3+2=83
0106１３２人目の素数さん
2019/06/17(月) 22:27:33.82ID:X7cct7i/Table[C(9,k-1)+C(7,k-1)+C(5,k-1)+C(4,k-1)+C(1,k-1),{k,1,12}]
Table[sum[C(2n-1+C(0,n-2),k-1),{n,1,5}],{k,1,12}]
{5, 26, 73, 133, 167, 148, 91, 37, 9, 1, 0, 0}
k-1を一つにして式を短縮
0107１３２人目の素数さん
2019/06/17(月) 22:29:05.79ID:X7cct7i/(confluent hypergeometric differential equation)
0108１３２人目の素数さん
2019/06/17(月) 22:39:06.70ID:X7cct7i/■□□□□□□□□□■
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0109１３２人目の素数さん
2019/06/18(火) 14:13:38.10ID:k/YvtJVmITV News-2017/09/30
Monty Hall, one of the US's most popular television game show hosts,
has died aged 96, his son has said. Born Monte Halperin on 25 August 1921, for nearly
three decades Hall hosted 'Let's Make a Deal', the hugely successful television show
that he co-created.
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