manual_symbols.db

6 \ldots 2 16 381c381c
6 \ldots 2 17 303870603
6 \ldots 2 17 381870303
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1 , 5 3 a392
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1 * 8 6 802b27eda802
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3 b_n 14 13 c008100100200e30c80801013032046eb7a40890091023
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1 = 4 11 ff700000eff
6 a_{ij} 12 17 c3004400c8008912c13002ac89d5920034002800c8100010081
6 b_{ij} 16 16 c000c00040004000e30064002400262c32002336e92500340014003600020081
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1 W 11 15 3c061409028c8326a113d48562c2b0e8303c181600
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1 f 14 8 0e030303c7018181808080c04030
1 i 11 4 40007462297
4 {}_p 7 6 e596ace9030
1 | 18 1 ffff3
1 y 10 7 742b9d42a99f029930
1 : 7 1 36
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1 2 11 6 e5c168024803408f3
1 V 11 10 f0b1060912e8031c60b0c1030c00
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25 \frac{n \cdot (n - 1)}{2} 36 73 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
39 \frac{n \cdot (n - 1) \cdot (n - 2)}{6} 36 137 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
25 \frac{k \cdot (k - 1)}{2} 36 72 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
1 v 7 6 7296892a4e0
1 B 11 11 8f38026013c813cf038814c022ccf30
4 \{ p 18 14 81003004000100400010048f9198303a04c401116448f01204800970c000600
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3 p_i 10 12 cf0211811889880c8cc7a40c404f0c
8 {}_{x_i} 7 10 e34a88023cf1204003
18 \frac{n(n - 1)}{2} 36 61 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
3 v_y 12 12 720420600620220299e4900d085007006083
2 (n 18 13 400800800010030060048fb8441c8288501903a12c70080001004000100
8 {}_{k_2} 10 10 20800208607dd1d506340800f
8 {}_{k_1} 10 10 208002086071d16505340010e
8 {}_{k_n} 10 11 200108004307183041fa95042023
11 \frac{2}{7} 34 8 c3262424040201818004e700000000000000ff00000020ef2c040201010180808080
16 \sum_{i=1}^{k-1} 42 19 20000100c90008430047100a3ef051008a100f0000000000000000000ffff9300c810088100081000c1000c0000c0000c0000e000020008100060008100040000100040002100cdfff700000000000000000008008300001300849f74c00022ef11300e1
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2 ib 11 11 4c0060010807e323a9054c23a49d970
7 {}_{00} 7 10 edb49136c813ec9ed3
3 Per 11 24 ef1000812000802000c02081c01f8fcf8091c0cf91c0408140408160c880f087e3
1 0 10 7 c19d8381c0607c23e0
8 x'_{1_j} 22 18 00400001000600080000200040000108f100810002000800002830d080cf02000802002800803087a000030004000010003
8 x'_{2_j} 22 18 00400001000600080000200040000108f100810002000800002070d021cf04000812003800423087a000030004000010003
4 ib_n 14 17 4c0008100010002007e308c808901011302320256ef97a40089000910023
3 Per 11 23 ef1000c0100028000814081c01fc7e7486030f738180814040c030642c30ed70
11 (\texttt{A} 18 12 4004002012813833831831c21c61c714616417e300200200400800
10 \texttt{B} 10 8 f74c484cc74448484cf7
10 \texttt{A} 11 8 0181838383c2c6c746647e
12 \texttt{BUA} 11 25 000002efed3601b01c12412834c24078f480b01901632412c748248c88dc81df1f837
11 \texttt{AB} 11 16 010081f7834c8348834cc2c7c644c7484648644c7ef7
10 \texttt{I} 10 6 f328028028028cf
7 {}_{2j} 9 10 e07208813560944f8102060
4 {}_j 9 5 810358013230
7 {}_{2n} 7 11 e084002f9596c492f391
1 " 5 6 7bd4a421
3 a_0 10 12 c3022032033f1391d86f808808900f
2 0" 11 13 e9b766788c09412924048080301206408700
1 " 5 8 247e484824
1 " 5 7 2ab319822
2 \} 18 6 381802802806036802802802ec0
1 5 11 6 3d3140f5c02816ce1
1 F 11 12 8ff81c8148118908f0c80c00400400f10
1 3 11 6 e5c134817038168e1
3 V_1 14 14 f0381006018120e800310c600b07c101304c001004000100f
3 V_2 14 15 f0303008140c010e8006200b108507c142600130c0003008400e1
2 V, 14 13 f03c008140340e808900b10610c1081013070080001001
9 \emptyset 14 7 02f8c269e462395c2f9f4e110
1 d 11 7 060201cc71d8661b8ad1
1 u 7 8 74466666223be6
11 (\textrm{t} 18 10 400102080134c011f70114401146091cd002080040020
10 \textrm{e} 7 6 e5cf701c8e1
11 \textrm{su} 8 14 089df761319344c115844321d7cf
10 \textrm{m} 8 13 600cfe1332224448880111a7ff
10 \textrm{f} 11 6 831401f11401401f1
11 \textrm{al} 12 11 0030c108004002f0d4883431a82549eff
12 \textrm{git} 14 18 006000811000400b11cf7fb8011224489011e144a0019e7fcd030038008f100
10 \textrm{s} 7 6 f7ce071e8f1
11 \textrm{of} 11 13 00c1040080001ebf244409802116224487e3
10 \textrm{i} 11 4 6606744444f
1 N 11 12 83c8288648448c44c4482483403403f01
1 I 11 7 87c06038140381c02c30
3 b_j 16 12 c00c00400400e3064024026c320236e15004004006002081
1 Q 14 11 0f34031050830c00708304131550f1040061060
3 d_a 14 13 0600800010030c70440c8089101302ac9d5204408c10e3
4 {}_b 8 5 6c81727667
1 a 7 7 c31d8661b8ad1
1 q 10 6 cb83ec174e1681f
3 s_j 12 11 c301183083c03889d3a00400208104081
3 i_n 14 10 40000000007001060800204af752890238c
11 \frac{1}{2} 34 8 81610101010101010101c700000000000000ff00000000c3262424040201818004e7
3 W_k 14 20 3c06028020280206c1106a1106a9006990169501e83016830d6818b000830008200086
4 {}_4 7 6 802802f32c3
3 b_i 14 10 c003040010e381124889328cce920c0010c
1 K 11 12 87c8148118908d08e0c80c81c01403f97
3 z_1 10 11 c5081040017002115780040020c3
6 \oplus 12 11 8f00d188240128ff7803401201119c0f1
3 T_k 14 15 eff01304810040002008100c0202010180c04bf171083004100a1
6 V_{ma} 14 25 f03000c000008140000340000e800008900000b10000610000c10000818f7c13829420062540046fc1084ee3
11 P_{k_{i-1}} 15 31 cf300000c0200000601000003c0000080300000cf000000302000081010000408000002043100d307900c0083600400412f3200a90001000c00c1
7 P_{k_i} 15 19 cf300c0200601003c0080300cf000302081010408002043e30711083c0041400a1100081
1 L 11 10 8f0608106081020c0038c0116ff0
7 {}_{,i} 8 5 0106a81d61
3 d_i 14 10 0600104081c788032cc81344d6f20c0010c
7 {}_{,m} 6 12 8f74948948ceb4e200
6 {}_{,} 2 2 b
2 (b 18 11 400208034813481248f2c812c017c82461e910800400400400
9 {}_{,m_i} 6 16 8f784948894c8ce8b4e4200c
3 m_i 10 17 eee0a1320324026484c80c885b0165000c000800003
11 \textrm{ax} 7 15 e93f90b070362811549828dffc1
3 p_y 12 15 cf009800640013088006462f92900d40ca70c100c0083
4 {}_y 7 6 6694b5c16e0
1 M 11 16 830f83038383820382414601468146814e80268074e1
3 A_j 17 16 001008100c1008100810081008108f10801c40302036787500040004000600020081
1 ! 12 2 fba20a
10 \textrm{o} 7 7 eb050381e0970
3 w_y 12 16 742046206620622022202399ef49000d0085000700060083
3 a_j 12 12 c3022032033c130156675004004006002081
3 b_j 16 11 c0060010800e30328014cc3209997a00400208104081
2 i] 17 7 0702118040e198641a039740201807
3 s_n 10 12 c30220e00c100301bff4908908c08c
3 e_j 12 11 c3011c7020c1080997a00400208104081
3 g_i 10 10 c789122488124cce924c81d3c
7 {}_{,j} 9 7 0600c05020dc42c0
2 en 7 15 cbf31b1d74c202218198d4b72e0
2 4] 17 10 0830801268012480124801ef981268c720800208083
3 r_i 10 10 e6420c00184081c2820c0010c
3 k_i 14 10 e001040010678106083831c4d1f20c0010c
3 h_i 14 11 e0020010800e7032801448328947c510c002003
7 {}_{2,} 8 7 e840281609cb18
3 w_i 10 13 7428c48990319222462bf3500c0080003
3 e_i 10 9 c344c78081024b750c08003
10 \mathbf{W} 12 18 f87cb1c06e07803c12c17807a3189c40e2b087c30c1e0038108060
3 n_i 10 12 ef0980c804c844064d2cb00c00400c
3 C_i 14 14 0e700814048001300c0001004088101813cc78200c000100c
1 w 7 10 7429966a9822ac4ef0
8 {}_{A_i} 9 11 02081080058424e3b817e5006
8 {}_{B_i} 9 10 e70334c099e7a1d26ef4003
3 sks 12 22 00c0000830000c00000300004000f19bf26621b787c383e1c188c0422221d7edf3
3 V_m 14 18 f03081000601081200e80003100c6000b000c100038f7c05210894002b3084e
7 {}_{ax} 5 12 c9f25a112933ef7
2 r, 10 10 e6420c0010408142830800204
3 k_j 16 12 e00400400400670600600e0c310356175004004006002081
11 (\textrm{m} 18 17 4000800080000100030006c0048fdb0664144828805011a02241fef7000800001000400001000
3 S_i 14 12 0f3c01401400c300f008008818034cf3a00c00400c
6 \times 9 8 081c3663c1c163361c
3 c_j 12 11 c3011c0020c1080997a00400208104081
1 C 11 11 0e70031050830810400204101360f10
1 X 11 12 8fc0640460c10810810c1021013803f8f
3 Y_i 14 12 f03601480c40c20830810818800c0ce1a00c00400c
2 0] 17 10 08308e1ec812688126881268912e88e120800208083
3 Y_i 14 11 f0338012890c20c106003880060b7410c002003
3 i_j 16 9 40000000070808101c2029d9204080810181
3 y_m 10 17 74008c00891003100220066ef9fa428894919df0293
1 E 11 12 8ff8188188118908f0c00c04402403ff1
7 b_{i_p} 17 16 c000c00040004000e30064002400262032002330e920003f001b0039000700010081
7 b_{i_2} 15 15 c00060001008000e30032080104c2032009dc975a103808020c8000e1
7 b_{i_1} 15 15 c00060001008000e30032080104c2032009d0975c003408020c0100c1
2 (r 18 11 400208004003081048b3211c8024012c012810800400400400
3 u_i 10 11 74023891cc822895bb510c002003
9 {}_{,s_i} 6 11 074c22c9198f32103
1 R 11 11 cf3c026013c803c70368124812cc3c1
10 \textrm{n} 8 9 60cf03122448801b7f
1 8 11 7 e985864e1f8c2c1e1970
1 m 7 14 eee4364c8011324c8811b2481
3 s_i 10 9 c344830e80326f350c08003
1 k 11 7 e02018067381c13996c1
1 + 12 11 02001080040028ff38004002001080040
3 a_c 10 12 c3022032033013015e679080080007
3 z_i 10 10 c50c0010280088cd920c0010c
3 B_i 14 14 8f3040181406818130e70c020388c02016cff8200c000100c
1 S 11 10 0f33440110c30c30800218c01f30
3 0^4 14 13 0040080001f023bf348488f0101202404818010320c300
9 {}_{,q_i} 7 11 07442219988b32113c10
3 w_j 12 15 74202318990c44c22209989f3a0004000200810040081
3 w_x 10 16 74204620662062202220239fef4a0002000300c7
3 a_x 10 13 c30440c8089101302aebd3500200600f1
3 s_m 10 16 c3002200e000c10003001bf7f494089408ce084e
8 {}_{max} 5 22 ef17e79425a625488ce93329bff1
1 T 11 12 eff260160020020030030010010810e70
7 a_{c_1} 11 16 c300220032003300130015e46796080408040074000e
8 {}_{c_2} 6 10 cd94d10604e800f
7 a_{c_p} 13 18 c300880003200cc00013004493067900020f080c20c19000c1000100060
5 a_1^m 16 18 00ef104940062108ce00293f0002200c800033004c83015808d120008000020008000870
5 a_2^m 16 18 00ef104940062108ce00293f0002200c800033004c07015218d140008100030004200870
5 a_n^m 16 17 00ff005210c4208ce009c97008800811003300260044100bbf0082100620046008c0
18 \frac{n(n - 1)}{2} 36 61 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
18 \frac{n(n + 1)}{2} 36 61 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
23 \frac{n \cdot m - 1}{2} 34 65 000000000000008100000000000000c2000000000000000400000000000000080ef000cdd10000001211004364000000203203064808ff1040260604c8000000804400088110000001c8200811b000000280700012c000000f100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000cfffffffffffffff7000000000000000000000000000000000000000000000000000000000000000000000000e10000000000000026000000000000004800000000000000801000000000000000200000000000000020000000000000002000000000000000600000000000000040000000000000000400000000000000cf00000000
2 [n 17 11 30800400200108004efa4413a8854423a90f00400200300
3 y_c 10 12 74046066062022033ee39090990707
10 \mathbf{s} 8 6 0df1d3e3c1e7
3 u_n 10 14 74009106608910220ccafe652089002308c
11 \textrm{in} 11 13 600c0000003307e78890111222444888dfb7
4 {}_e 5 5 c5eb0e0
3 b_q 16 12 c00c00400400e3064024026032023ee1908808800700400e
4 ib_i 14 14 4c0003004000107e3091162488892324acc7e9200c000100c
11 \textrm{og} 11 15 0006f1f7844282214390b74840c3e708160c020cf0
10 \mathbf{p} 10 10 cf13ec033cc0336cf030c0c70
3 \to 7 15 00800080000efff000300800020
3 cbb 11 20 00381003810018000180cbfc72a1d8380581885c1c8641ac46e97c3
2 bb 11 14 c0603814020180e3f91d8241a85c3a19c46e1f0
3 u_j 12 13 7408c0891033c2206699b920040080081001081
3 L_i 14 13 8f00300600c008100100300609c01803ff3500c0080003
1 o 7 7 c31e03c1a8930
11 \textrm{mi} 11 17 000c0008100003006e7fe891111122224444888801dbff7
2 (m 18 18 4000010002000800003000c00001eee443641c805013214c84811b1248d0000200080000400002000
1 e 7 6 cb8f50148e1
10 \texttt{L} 10 7 701804020180482cf3
11 \texttt{LR} 10 16 78f120132012201320f1201120132413241bff76
13 \texttt{LRRL} 10 32 78f1f3e020132640201224402013264020f1e340201122402013264024132648241b2658ff76fcef
11 \texttt{RR} 10 17 f3f34c4c809011313e3e344448898113132636f9f91
2 en 7 15 cbf3131d7c8202610190d8a72c1
11 \frac{4}{3} 33 8 02030202020202ef03038f000000000000ff00000000c3262602038306042424c3
18 \frac{\sqrt{3}}{2} 37 22 000cf300800000300004000001f000226008881001020040c03808380208164004011801c20240f00f081000040000000000000000000000000cfffff000000000000000000000000e10004c000012000480000020000400008000003000040000080000f300
11 \frac{7}{6} 34 8 20ef2c040201010180808080000000000000ff0000000083444020a36624242464c3
18 \frac{\sqrt{3}}{4} 37 22 000cf300800000300004000001f000226008881001020040c03808380208164004011801c20240f00f081000040000000000000000000000000cfffff00000000000000000000000001000060000010000400000100004000001000cf100081000060000c700
3 \pi 7 9 ef780a041c28c091
2 ab 11 14 00600810020080c3f98c8321ec4c1b1545667f0
3 v_i 10 9 7284810392242b350c08003
7 {}_{,n} 6 8 8f49898cbc20
3 h^4 14 14 0080002008830240f310240cbf106408010220c8003904c10
1 " 5 10 20d1e40218201
3 v_x 10 12 72042060062022029fe4a0020030c7
3 n_3 10 14 ef04220c80013f444a15c2c130080062007
3 m_j 12 19 eee086c80032408811c4c80032699016a000040000200081000400081
3 k_y 16 13 e008000100200670c0081007003106a66cb400d00b00c1003083
4 {}_z 5 4 ec40f
3 i_m 14 14 40000000000000700010060080002004af7752189402b384e
2 er 8 13 00387eb0d8fb1103206c840fe3
2 (j 18 10 4001020a0030c00187091070c1050418d06288c140020
4 {}_A 8 8 0203028242c7263f
4 {}_B 8 8 e7cc4c46e76426f3
4 s'_( 21 11 0020010c002001040028702207027016413b7800400200108008004004
17 {}_{\textrm{mod}} 8 22 0000010000400000977e9722dc398416422581ddee9f
4 {}_) 10 3 98442941
3 y_j 12 12 74046066062c220336e35014914706002081
2 i' 14 7 040289402804e040380409830
3 '_1 18 5 488112240000007801248c3
3 '_1 18 4 44622110000744444f
3 '_2 18 6 4016802401000000072148134a7
4 y'_2 18 13 00200400c00800010010028320460cc08900117339c70140bc0370210e1
3 '_m 18 10 400106080020400100000000000000008f7529942bb4e
4 y'_m 18 17 00400080008100010002000200040832004600cc008900011003300c7ef14a4ac894709d10293
3 A_i 15 14 00100600c1006008100600810e7080121c0203f1eb00030040003
3 q_j 12 11 c3011c8066c1388897a034812e9104081
13 \frac{36}{28} 34 17 c3834c8888110011003a307cc089010212242448c80f0f000000000000000000000000000000cfff700000000000000000e1e1262648488091102e102c3028c0680340160464cf870
19 \xrightarrow{\;4\;} 15 24 00800000800000800000800000f30000800000c300000000000001000002000000ffffff000006000002000001
19 \xrightarrow{\;4\;} 15 24 00010000010000010000010000e700000100008700000000000001000002000000ffffff000006000002000001
3 z_i 10 9 c5060404800447750c08003
11 \frac{n}{2} 30 10 ef422c8013448152c100000000000000cff0000000000000e14c012480020408003040080f3
3 w_m 10 20 7420046200662006220022200239f7ef49400894008ce0084e
10 \textrm{h} 10 8 704040c7c444444444fe
10 \textrm{a} 7 8 f102c3621233ef
11 \textrm{sh} 10 15 08300010080cfc7166a7011f882844362afdb3
8 {}_{k_i} 9 9 2040800d871f071c64081
3 k_m 14 17 e00080000100020006700c00081000700031006aef5cb420894009d10293
3 z_p 12 12 c500300108000002a7d5908908c0870800c0
3 s_p 12 12 c30220e00c100301b7f4908908c0870800c0
7 {}_{28} 7 11 ecb4312f89762291f3f0
11 \textrm{fo} 11 13 8308000100200f9f8801114228448980d7e1
3 '_i 18 3 4a5a4000807d23
4 y'_i 18 11 0040020810400208004e8046033890444330f914a236701081
5 L^k_0 19 16 000100010001000d8f8b81838182818681008000c000c020c0974894ff440044004400c40087
5 L^k_1 19 17 0002000400080000d8f07130e06041c08681000100030006010c0178038cf301000200040008000c3
5 L^k_2 19 16 000100010001000d8f8b81838182818681008000c000c020c0174894ff040006000300090087
5 L^k_n 19 16 000100010001000d8f8b81838182818681008000c000c020c0104810ff8f00490089008c008c
3 b_n 14 12 c00c00400400e306402402603202bfe5908908c08c
6 \ldots 2 11 33e913
6 \ldots 2 11 36e133
19 \lim_{r \to \infty} 21 30 03000000e810000026000008000000026600008c9fd30024cc800801112002444800801112002444800edfbf70000000000000000000000000000000e10087e550023fc68ff581a000237c200087e1
17 \frac{L_{i,r}}{r} 34 25 0f10000600000c000008100000300000200000608000c0200081238701658a8f7c0600080400003b00000400000000000000000000efffff30000000000000000000000000000000000000000000000000000000000e600002100000300000200000400000c0000080000
3 z_2 10 12 c50030010807084224d16003009087
3 z_m 10 17 c5000600040004000000044ef57a420894009d10293
12 \frac{2}{50} 34 17 0c3004c008010012000400040004000c000800008008f1000000000000000000000000000000cfff70000000000000000031e1e166404880801f11226240848009031212266487870
12 \frac{2}{40} 34 17 0c3004c008010012000400040004000c000800008008f1000000000000000000000000000000cfff70000000000000000001e103660448088010112022404488fb03811203640f970
13 \frac{9}{100} 34 25 00c30000c4000080100001200002400004800000910000c30000040000c40000070000000000000000000000000000000000000000000000cfffff70000000000000000000000000c0e1e161666602484804809018012120124240248480480b038012120164648f87870
3 b_1 14 11 c0060010800e30328014c7322919780040020c3
3 b_m 14 17 c0008100010002000e300c800801001300320046ef97a420894009d10293
2 (p 18 13 400800800010030060040fb098181301702a0641c768080109704000100
3 c_l 10 9 c344c0e081834972040c083
10 \mathbf{F} 12 10 ff33cc0238c4031c7031c4030c0cf0
11 (\mathbf{p} 18 14 40001002008000300c0001cf503e1c0703c1c070361cfc0302c08c704000200
1 1 10 5 4e412480124e3
2 b, 14 10 c003040010e381124881328c4e930800204
2 |p 18 10 1040010400104009f5981364c115649f42090c7010400
3 h_j 16 13 e008000100200e70c80801011c3206295c920040080081001081
15 \sqrt{|i - j|}, 26 59 008fffffffffff00040000000000000020000000000000010000000000000400000000000000220000000080000110000000040004801000000220002400000000010001200000000800040100000000400028c10000083200014800000021101c02608ff10c80c020110000006404018800000001206c042100000801232027000000688311010000000340980800000008028c20400000083012410200000000800e0010000000040030000000000000810000000000000c00000000000000
11 \longmapsto 7 26 1000044000002100000cffffff10000850000021000040
20 \max_{i=1,2,...,n-1} 19 67 0000030000000000000008fd3e17e000000000891990610000000004480706000000000022462030000000000112158200000000088098203000000000fefdfd93000000000000000000000000000000000000000000000000000000800070c10000000070000209000000000230001040000e300059f78003000821008c00040c0000898f342ef12021000460002300c3b7619c2300c300000102004000000
36 \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} 26 174 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
7 \mapsto 7 15 10880084000efff100b00840020
10 \mathbf{m} 7 14 eff93766c891366c89136fed3
10 \mathbf{o} 7 8 e33c3c3c3c26c3
10 \mathbf{d} 12 9 0e08103060ccfd0b163c68d13ff
11 \mathbf{iv} 12 14 200c1000000000000cd3e6c8813268581e1603c3c0
11 \textrm{an} 8 16 0030e1f33162c122312215221526ff7f
31 \sum_{1 \leq i \leq j \leq |w|} 35 56 00008ffff0000000008300c00000000003000100000000060000000000000c0000000000000c10000000000008100000000000003000000000000060000000000000e00000000000004000000000000060000000000000300000000000081000000000000800000000000004000000000000020001000000000100c1000000008ffff0000000000000000000000000000000000000000000000000000000000000000000000080080000000000800870c0181c0c800840700e000780084c189306c18c494c049105c08a694038160403842840c808140c8429f0091026009cf8000000020080080cf18fb1cf900800000000008008
1 P 11 11 cf3c026013c803cf03081040020c300
51 \underbrace{\pi(\pi(\ldots(\pi}_{k\;\textrm{times}} 38 73 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
18 \frac{n(n - 1)}{3} 36 61 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
18 \frac{n(n - 1)}{2} 36 61 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
31 \frac{4 + 0 + 0 + 1 + 6 + 0}{6} 34 151 0200000c300000c300000030000007000000f081002003300200330020061004004400400cc08000108010010801001008000200200020024040080048008004800800040001080000100120200400240040024004000200800470080080101002001200200120020001004006600400480808ff38018ff38018ff30800ff70120ff7024cf1080048108004810800040001080100100160300400240040024004000200800480080080181002003200200320020001004006400400c80e300100f000100f000100e300200e100200c3000080000008000000800000001000000100000000400000040000004000000800000080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000cfffffffffffffffffffffffffffffffffffff10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008300000000000000000000000000000000000022000000000000000000000000000000000000100000000000000000000000000000000000040000000000000000000000000000000000000a3000000000000000000000000000000000000330000000000000000000000000000000000080100000000000000000000000000000000000480000000000000000000000000000000000002400000000000000000000000000000000000032000000000000000000000000000000000000f0000000000000000000
11 \frac{5}{6} 34 8 62e12020e32604042426c300000000000000ff0000000083444020a36624242464c3
12 \textrm{for} 11 19 8300020000100080081f9fc7224c0114288021448902244c7e9f0
43 \frac{\frac{2}{3} n (\frac{2}{3} n - 1)}{2} 37 80 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
2 EP 11 21 ef7ff0388122011464038cc0688f1cf0318106003040220c0660cf7e10
1 z 7 7 c581401001570
2 un 7 17 74ef8c21991323326224466d8ab907
2 an 7 16 c3f72a44326433261322153a671e
3 e_m 10 16 c3002200f100100010001af7e594089408ce084e
7 P_{k_0} 15 21 cf30003800060100c0300803000f3000304006080040010800add30ee600c9800821100d2200083
7 P_{k_1} 15 20 cf300814008140081600803008f100c0010c001040010400d4f08b60083400824008640000e
7 P_{k_2} 15 20 cf300814008140081600803008f100c0800c08004080040867f0c5d00c1800414004320000f
7 P_{k_s} 15 20 cf300814008140081600803008f100c0010c001040010400d0f08b00083c0082e0086c0000e
13 P_{k_{s - 1}} 15 33 cf30000003800000060100000c0300000803000000f3000000304000006080000040010000800a1000d30e2000300c160040082ecf8000d8100100083007
2 in 11 13 40000000000007ef82191321262442d8e907
18 \frac{n(n - 2)}{2} 36 61 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
25 \frac{n \cdot (n - 1)}{2} 36 73 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
19 \frac{b_i - a_i}{2} 34 46 c000000000003000000000040000000000010000000000e30000000f08110000002202400cff0c80889000000332320000004c08cc000000153e92000008db00c0000000030010000000400c0000000030000000000000000000000000000000000cfffffffffff00000000000000000000000000000000000000000000000000000000000000870000000000130000000004800000000001200000000008000000000001000000000020000000000c000000000001000000000002000000000cf00000
7 \left ( 51 8 0804040203018180c0c0c0e06060606070707070303030303030303030303030303030306060606040c0c08081010102060408
27 \prod_{1 \leq i < j \leq n} 33 48 0000ffff00000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000c00300000000e18700000000f7ef000000000000000000000000000000000000000000000000000070c0100c0c004070003007004c181c06c18f4c041305c04940389104038940c806040c8cf0091816009c0000002200000cf10081cf10
11 \textrm{NW} 12 26 008000d1ef97ce01681a2481682116418c401d4221c439050b8424182e8060e8320181cc140401
10 \textrm{D} 11 10 ff80620b0820a0820a0820906ff0
8 \right ) 51 8 1020604080800101030302060606040c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0c0406060202030301808040402010
18 \sum_{i=1}^{n - 1} 42 22 0000c100004e300059000462f709c00042300c30000000000000000000000ffff1c1006060002030000810000e0000030000810000c00000700008000003000060000c000001000020000400028000e0ffff10000000000000000000000000000400c10000406000149f7406000188f740600c3
14 \sum_{j=i+1}^n 42 33 0008f00000082100000062000000460000008c00000000000000000000000000000000000000efff3000c1006000030001000c0000000030000000e0000000810000000600000008100000007000000040000000c0000000c0000000c00000008000000080000000800040008000e0008ffff00000000000000000000000000000000000000000000300401c10000020260081404a8ff280801006ef112ef502026008140f40000800600000100
2 \| 18 4 999999999999999999
7 \langle 18 4 8c44223111122244c8
1 D 11 12 cf781c81881880880cc0cc04402481ff0
1 Y 11 10 f0b1448031c20e08106080030e10
1 o 7 6 c983e8174e0
10 \textrm{l} 12 4 67444444444f
1 ; 10 1 362
3 0^8 14 13 00f00310c3f873b824178cb0101202404818010320c300
3 0^3 14 12 00f00900ce1c3381a9127120120120160120320e10
3 0^7 15 13 00100e3022002e14664488801112024048080301206408700
1 ' 7 3 4a5a40
23 {}_{)\;\textrm{mod}\;k} 10 39 10000000080000004048000000202400000010140fec3f08628843f40e2144a03207802258118248bdd3f1431000000000
3 P_i 14 13 cf30380601c038030f30300608400800f30500c0080003
3 S_k 14 15 0f3068001408000c300870002200111888124ff071083004100a1
8 {}_{w_i} 6 12 6a85b821c298e7400c
8 {}_{B_i} 9 11 e70660138c8e7432b81f74006
7 \varphi 11 9 2c7464c0898698f0204080010
3 o_i 10 10 c380134489124cce820c0010c
3 P_j 16 15 cf30c02060103c08030cf00300810c4000208d30a0004000200810040081
2 d' 14 10 0020800385041030e0f122c80334c0158d1
3 f_i 14 11 0e0810c0060c70800600388004032491c40a103
1 H 11 14 87e360381406818160ef1c02038040301c0f970
7 a_{i_2} 11 16 c300220032003320130015376f2d003800140032000f
7 a_{i_m} 11 19 c30001100c800066400130088a108db00006ef001b408942004a1
8 {}_{i_1} 8 8 400064566424640e
1 G 12 12 0010ef0064042043003001c7103103681c70
3 G_n 15 18 001008f300060010102040c0000300040f10103040c00681e3f14900062008c00023
8 {}_{j,2} 9 14 81c1084c00920680c0209c6e11103000
8 {}_{j,1} 9 13 81e00013025048080101b972203000
3 g_x 10 13 c70cc0880801012026eb725802816e1f1
3 s_l 10 9 c344836e80b36d32040c083
3 a_l 10 10 c388032fc813745671040810e
3 H_k 14 19 87e30c0600601003c0081600cf300380281401403802814f7e171008300041000a1
2 m] 17 17 000c100020004000800001000abb3c6c88c801981121324326924811000200040008000c1
3 L_0 14 15 8f00c000600030081004000300814fc0942c2ef31108800c400c3
6 \infty 8 15 c1c1f13d85038181c0c0e0a8d887c7
3 d_j 16 12 060040040060c7022032033c130156675004004006002081
3 f_1 14 12 0e0030030030c70010810817804804804c0440430f
3 f_2 14 13 0e00600c00810c700200600c07809010120360340270e1
3 f_n 14 13 0e00600c00810c700200600c0080001e32a46894097023
14 \frac{1}{3600} 34 36 0000600000008500000000400000000400000000400000000400000000400000000400000000400000000400000000f1000000000000000000000000000000000000000000000000000000000000000000fffffffff000000000000000000000000000000000000c30c1c3c3260226666260202424020102424030d12424830332424060122424040122c2c240122424240326464c30e1c3c3
10 {}_{\circ} 5 6 e5c1ece1
11 {}^{\circ}] 17 9 0cd36cc0933d3204080010204080010204080c1
10 {}_{i,k_i} 9 16 00204020002060a95079607c205866d4040c
8 {}_{m_i} 7 14 ef14948621acec29320040003
3 m_x 10 20 eee00d8110c80104c8004c80064caf2485a0000200003000c7
3 l_i 14 6 60168028034854df2c01c
11 \textrm{or} 8 13 003c7e78890211422c44880fc7
26 b_{i \; \textrm{mod} \; k} 14 46 c000000000003000000000040000000000010000000000e300000000081100000000024000000404889000000101320000004048cc0ed97e10de928843f40e20c0225811830018841640a00c07bb7e386
3 h_n 14 14 e0001004000100e7081102408800320c4af1752089002308c
7 b_{m_i} 15 20 c0000c00004000040000e30006400024000260003200023ff8e92980039c009d9009c50000c
10 \texttt{U} 10 9 fe588011224488011266870
10 \texttt{E} 10 8 ff4c4042c342404848ff
3 sks 12 22 0060000c10000600008100002000f9c9f26311b7c3c383f0c18460422111d7fef3
3 m_g 12 20 eee00d8110c80104c8004c80064c272489d00084000840008700006000c3
10 \texttt{N} 10 8 7ea4a4a4252525262666
3 G_i 15 15 00100f7008180802048100c00028f0103c08181689f0a000600010081
8 {}_{m_i} 6 13 ef1b42a9469d929b0003
3 g_y 12 13 c70cc08808010120266a7a480d81be1c1003083
10 \texttt{j} 14 5 8120f01248012489f1
10 \texttt{p} 12 8 01f7cc484848c4c3404040f0
10 \texttt{P} 10 8 f74c48484cc7404040f0
10 \texttt{Z} 10 7 ff01c0280601483cf3
3 Y_1 14 14 f0381404800310c200e0081006078001304e101004000100f
3 Y_2 14 15 f03038001208900c200c10060003078042600970c0003008400e1
3 L_n 14 16 8f0081008100810081008000c000c020c010489fff490089008c008c
3 P_1 14 15 cf30c02060103c08030cf0030081074002200d3080004000200c3
3 P_2 14 16 cf3081408140816080308f10c000c00740844004f006000300090087
3 P_n 14 16 cf3081408140816080308f10c000c0004000408ff0490089008c008c
2 "" 14 14 007308d00420840021000000000000080107e001204808010
2 [' 18 5 076e49a4901248012480160
7 F\sharp 16 17 00080ff316072c0a4811f13161e3426484c00980021104af08f000f0002100420080
3 P_5 14 15 cf30c02060103c08030cf003008107408020cd3001008008400c1
3 P_6 14 15 cf30c02060103c08030cf00300810e408020cd302100900840083
3 P_7 14 16 cf3081408140816080308f10c080c08f40444002f002000100010001
7 k_{s_i} 15 16 e000400040004000670060006000e000310035e817b800ec00980874000c
2 (p 18 12 4004002002003003001e71981c814c1441641e3320220a70400800
3 p_l 10 12 cf021181d88988cc84c74404406f0e
8 {}_{s_l} 7 9 c1c237694f800103
3 y_n 10 13 7408c0891031022066ebfa4889919f023
3 d_p 16 13 0600800010030c70440c8089101302ae9db408900910e10400c0
2 b) 18 11 0800c03481440220bf0d8824413e80568e1200108002081040
6 0^{40} 14 18 004c300190042a70983bf36809912ed78000120048000160048000320087000
3 q_i 10 9 c344c88991322b75cc89873
3 P_4 14 16 cf3081408140816080308f10c000c00240024002f00200cf0002000f
7 {}_{10} 7 9 7e94254a84196eb7
2 m' 14 17 0000100020006000400080008000017770d811811201320264064c248030
7 {}_{18} 7 10 7e1d44e1974115cfe1
3 p_x 10 15 cf0098006400130880064e3f949002408970f1
7 {}_{,y} 7 8 89490d85372683
1 U 11 10 f1b18609146090438c0218c81e30
3 '_k 18 6 40168024010000040140dea3a86
11 \texttt{a}, 10 11 f10010f0c40128919ff108004001
10 \texttt{b} 10 8 704040c7cc484848c4c3
10 \texttt{c} 7 7 c3140201033f0
10 \texttt{d} 10 7 03018c73b0582433f3
10 \texttt{e} 7 7 eb178ff1013f0
3 M_k 14 21 830f0070600e0e0041810824108c02009168023c014e8024c014f197c500083000050000a1
3 p_3 10 14 cf08440811026f884232cc703108406e307
3 y_r 10 12 74046066062022033feba013911701
3 r_l 10 10 e6420c031840b14201040810e
12 {}_{s_{l-1}} 7 21 c1000c230017600394004f8cf800100103007
4 (sks 18 26 4000000100300200e008000300300c00c0001001c74ee788994c1e1e1f40e870710223058888441f97ffc00000020000080000004000000200000
2 (t 18 9 40808021438685cf02142c489091e608001040010
6 {}^2_i 18 6 c94016c09e10000001081581281
5 B^2_i 18 18 000c1008400001ef06014c06019816e16c008f1003800c020038804810cf3c00082000c00001000c0
3 c_a 10 12 c30220300100100127e9404404e08f
3 c_b 10 11 c3011c062031890d9721890460c1
2 W, 14 18 3c06802802802817406a1189620699085610e83081e04681830008000020004
3 B_n 14 17 8f30028006010c03081300f30038006010c020803eff3a40089000910023
3 o_i 10 9 c348c090b1226b350c08003
2 d" 11 13 0eb18630940b4c79440c8089101302a08d10
2 aj 14 13 0001000000000c3c544e80e91c1382a09d130060040070
13 \frac{59}{64} 34 17 62c3c3c4808011012e3244c480019102c324044cc40f07000000000000000000000000000000cfff700000000000000000c1014403800480080d10166024804809f312816403870f1
3 V_1 14 13 f03c008140340e808900b10617c18810130200400800c3
3 V_2 14 14 f0381006018120e800310c600b07c121304c0810030042087
2 S' 14 13 00010020068f5c0980a0101e100f00010028040340e700
3 C_i 14 13 0e700c01011023006004008009101c813f1500c0080003
3 c_n 10 12 c302203001001001afe5908908c08c
3 m_0 10 19 eee086c80032408811f4c8843263a016110088000c4000c3
3 c_m 10 16 c30022003000100010001af7e594089408ce084e
3 g_1 10 11 c703388024712a8197802481a7c3
3 g_n 10 13 c70cc0880801012026eb7a4889819f123
3 t_a 14 11 80040020810f1020010c006009c9390440270e3
11 \frac{2}{3} 34 8 c3262424040201818004e700000000000000ff00000000c3262602038306042424c3
8 \lceil n 18 13 f00200400800010020048fb8441c8288501903a12c30040080001002000
13 \texttt{R} \} 18 15 00600060004e70226011288814c706220613898144c22fc010080004000200c10030
3 p_m 10 19 cf000980006400013008800064ef1f929808944046f70293
11 \frac{i}{2} 34 8 01000000c10181808042c100000000000000ff00000000c3262424040201818004e7
7 {}_{s'} 8 9 0010302e4658384870
2 0n 11 16 e10033001200120012f71a44126416261222323ae11e
2 [m 17 16 3000100010001000100010009bb35364132411321132911b90161000100010003000
13 \left \lfloor 34 5 12480124801248012480124801248012480124801e3
14 \right \rfloor 34 5 01248012480124801248012480124801248012480f3
8 \ldots p 10 20 000e700098000c80004c0004433664336e3000200002000870
4 0^8] 18 16 00f0089e00f8e1f83b881a8912f8120812081208160812083208e108000800080008000e
4 w'_i 18 14 000200800030040001002008c190462899062288842318f3600410060080006
4 (b_x 18 17 400080008030016003400680048f080320124024c04c808099f1e9470088008110c7400001000
3 b_y 16 13 c008100100200e30c808010130320466a7a400d00b00c1003083
8 {}_{2^i} 9 8 0808ec9884cc6021f0
7 {}_{2i} 7 8 e8908cca6c25fc
3 c_s 10 11 c3011c0020010809b7610e0840e1
3 y_3 10 12 74046066062f22933ce3c018999707
3 y_4 10 13 7408c089103122246688f018cf914e0c3
4 ib_0 14 16 4c000c00040004007e3046406240226f232992b87e9800880089000f
3 y_l 10 10 7409166b9822fc4e314499d1e
4 (p_i 18 15 400020080004000300810048f122111c8802660112c8c1e3d110b8084f0c40004000
3 g_2 10 12 c706602201271a4134e16013819f87
3 r_n 10 13 e602100300200400c0eb0a40890091023
6 \sharp 16 5 825a4f75a4925aff25a0
5 \flat 13 4 1111179999551
4 (p_x 18 19 400002000800004000030008100040f30242201811804c0402202819f1c72d1208801064e1c74000040000
2 M, 14 19 830f0c1810e0e005060824102380091608c0304e8001340d197c100080000400001
3 k_x 14 13 e008000100200670c0081007003106ae7c3500200600f1
2 nm 7 23 efcdd944d811326488811324488113a64ca0712c0
3 o_2 10 12 c302403401671a4134e06003009087
3 o_n 10 13 c30480c01803012026eb3a40890091023
3 p_n 10 15 cf0098006400130880064e3f929089404e7023
6 \ldots 2 12 36c36c
3 g_i 10 9 c7cc888091226b758c89e13
9 {}_{,r_i} 6 10 8725981328b090c
14 \overline{x}^R 15 18 008f100c8000120046008fcff6200880007ecf000c000010004000010086000e7000
13 \frac{37}{64} 35 17 002087cf989031302020206020e04003800480480180120e140000000000000000000000000000008ffff0000000000000000083028806010801001a302cc048018012f72403c8060f0e3
3 o_n 10 12 c302403401601201bfe4908908c08c
3 l_m 14 13 6008008100100200400c008000500aefdb4289409d1293
3 a_m 10 17 c3004400c8008910013002aef9db420894009d10293
3 T_j 16 15 eff01304810040002008100c00020c0100c089f1a0004000200810040081
3 j_i 14 9 02000000083840c0890102365cc88e03
3 w_n 10 16 74204620662062202220239fef490089008c008c
2 pr 10 16 cfcd2131819188908880c8c0c74040004000f000
21 \underline{SB^{1250}} 16 49 000000e07e8700000001940900000002093110f3cf14038228120148030540140380125a902006897e93e1c30c810000000e18f10000000028140000000040380000000180601000000680481000000cf0ef10000000000000000008ffffffffffff
3 P_1 14 14 cf3060181406818030e70c0003074001104f001004000100f
2 cb 11 13 0030060040080cbf443e02c04c1c824997e1
9 0^{\circ} 12 13 00fc31fc2c0dc12f2404808010160240c800f00
3 h^m 12 18 00ef934944062118ce4029bf1006400801002200c800039004c100
3 c_p 12 12 c302203001001001a7e5908908c0870800c0
3 f_i 14 10 0e0c0030c0c7040810688002c8823c40d0c
2 p] 17 12 00e008008008008008cf8219819889888c88c78408408f0800e
8 {}_{k_i} 9 8 202020a9797c58d40c
4 {}_( 12 3 4a6942198
1 - 1 5 f1
1 l 10 3 6a52d2d2
10 \texttt{L} 9 7 7018040201804824
10 \mathbf{1} 11 7 89f060381c060381ccf1
10 \mathbf{0} 11 8 c3263e3e3c3c3c3c3c26c3
10 \texttt{R} 10 9 f34c80113e3448811326f91
12 \overline{x} 10 10 ff300000f30304001040a18f1
1 < 10 10 003070707070c00e00e00e00e
3 s_a 10 12 c30220e00c10030137f8404404e08f
3 l_j 16 8 604060202020301c5056750404060281
3 z_n 10 13 c50060040040000044e77a40890091023
3 z^i 14 10 002000030a0030400371030408000022470
5 \beta 14 10 0c308803248e0144011468912a780010400
8 {}_{l_i} 9 6 6016882ac3e503
12 \texttt{U}_i 13 12 fe124024024024024024824066cc3a00c00400c
4 {}_Y 8 9 f89011160800102070
2 \% 14 12 606b121f11111901d0a404270bd098888c8848d207
12 \texttt{E}_s 13 13 ff08810100210c30840010024048cffd200700900f0
2 4n 11 16 010081000100010001f709440164f7268122813ac71e
8 {}_{1_i} 8 7 7020198462eb0c
4 y'_i 18 10 00208003040010208c114689162888338fc0966c7010c
3 a^b 15 12 00300300300700908908c007c30220320330130150670
3 h^0 14 13 00e10420447884019062187f3064048088081103902e00
3 d_n 14 13 0600800010030c70440c8089101302aebdb40890091023
3 Z_i 14 13 8f381001400400400400400488401483ff3500c0080003
12 \texttt{U}_3 13 14 fe180102408010240801024cb0196603f0c000208900c1
8 {}_{2_i} 8 8 e09088c86c29f40c
8 {}_{1_i} 8 8 704048484c48f40c
2 A' 14 14 000200800130640c1106208900600810e7080101c0203c1e1
4 h'_i 18 11 00400208d1440228014cf0640128806483988330410c002003
3 L_3 14 15 8f00c000600030081004000300814fc0942c0ff38100800c400c1
3 R_s 14 16 cf3081408140816080308f00c810c0104810481ef07b000e00090087
3 M_i 14 17 830f07060e0e0418182418c020916023c84e804c01f1975000c000800003
3 A_r 15 16 001008100c1008100810081008108f1080104030203f78fa000300010001
3 H_1 14 18 87e30603081400681081600ef10c02003807403011c04f9701000400001000f
3 H_k 14 18 87e30603081400681081600ef10c02403801403401c0df97e20083000a00086
1 O 11 11 0f30031050830c10708204101160f10
3 G_r 15 17 00100cf100810202020406000c00080e301030206081687e38a0006000400080
9 8^{\circ} 12 13 00fc317c2c0dc32fc3087009101602c0c800f00
9 7^{\circ} 12 13 10fef178340dc01f01002004004008000100200
3 W_1 14 19 3c060140180280c83206a1103d4085620c2b07e83023c10916080000400002000c3
4 {}_R 8 8 e7c84846e362227e
11 \frac{1}{3} 34 8 81610101010101010101c700000000000000ff00000000c3262602038306042424c3
3 r_m 10 17 e60021000300020004000c0ef90a420894009d10293
3 T_X 14 20 eff0026000160000200002000030000307e010420104181080e7080000a10000100817
3 W_2 14 20 3c06028020280206c1106a1106a9006990069507e83846830468106000030000900087
11 \frac{n}{3} 30 10 ef422c8013448152c100000000000000cff0000000000000e14c013040810700308012480e1
7 {}_{,r} 6 7 87a2601b010
8 \sqrt{2} 17 20 000ff0080000c0000400004c30022600224001240010438002280016408144080c2004c30e78100001000
8 \sqrt{5} 17 20 000ff0080000c000040000462002e10022000120001e338026280046400444024c2026c30c38100001000
11 \frac{k}{2} 34 10 c102080020ce030c0070628922e000000000000000cff0000000000000f026801240010204081020048f1
13 \overline{AB} 14 26 ffffff300000000200000c08f308304010c081400306810c08130030e70cf0c020120380281c0240601683c3ff0
4 (b_i 18 14 40001002c08030340c0101e34811124488913248cc1e9e00c200900c4000200
7 {}_{(i} 12 6 4012e017a1741b0201
8 {}_{,j)} 11 12 002002064004038828028028338214c00
7 {}_{1)} 10 9 0408c1224409021428f0101
10 {}_{(i,1)} 12 21 4000480008801c1a10024160403a08068101c01028166f05080090000020000
7 V_{max} 14 31 f0300000300000081400000c0100000e800000062000000b10000085000000c100000060ef17e338294a4108941120046fc910029bff1
11 {}_{(i, n)} 12 22 4000801000222000d00004130f16a0a481303164046813391a0800420000010000
4 ib_m 14 21 4c00008100001000020007e3008c8008901001130023200256efd97a42008940009d100293
2 b] 17 10 08308c023840218e3a1924a8932ac8e120800208083
3 abb 11 21 0060300c0600804000180c3f9f44643e8482c9985c1b1d82a2399dd3e1
8 {}_{248} 7 17 e01f2123124c368876ef84221f3ed3
22 \overline{r_i w_{k_i}} 14 36 fffffffff000000000000000000e60c19000900099000c008994004048984004008884006068c44322058f3e22006000e03002000a02006000a11000000003
4 {}_1 7 4 744444f
3 h_m 14 18 e00001000400001000e700811002400880003200c4af7175210894002b3084e
13 \frac{a}{n^2} 30 17 087008800811003300260044100b300000000000000000000000000efff30000000000000000000c100420004000c000c0f78498878110013002200641048300
11 \frac{1}{m} 34 15 0c0085000200010080004000200010080004008f000000000000000000000000000cfff100000000000000000000000000000cdd1d8116480132881164c212c0
3 t_i 14 8 808080c0f1404068602dea0c040c
3 A_3 15 16 001008100c1008100810081008108f10801f4039203c787c000800890007
2 0" 11 13 08b936bc8c1b414928040180203604600700
2 '] 18 6 40f6a826812802802802802802e
11 g\textrm{g} 12 15 0004e3fb9d4442212b90974c40c3e70116cc0e3c810c7
11 m\textrm{m} 7 22 eeecf536429c80942132294c884a11b29248df3
10 \textrm{s} 7 7 ef0f3871c1ff0
7 {}_{64} 7 10 e8402784229f722ec3
3 f_3 14 12 0e0030030030c7001081081f80980c80cc08489307
11 \langle p_i 18 16 8000c00040004000200020003cf012111811188918802c8c2c7a240c44044f0cc0008000
6 \notin 18 9 0800102028fd9c8801ff32c4090c00f3202040800
3 f_4 14 13 0e00600c00810c700200600c0280401802016cf40460c3
11 \varepsilon 8 7 832a0c3a9040c3
1 n 7 9 efa11132264c4b83
3 Okr 12 26 0006000c7c100c0360081091002042064009c9f104316408d381102f06c0446816c01120f1fef3
3 f_k 14 13 0e00600c00810c700200680c0180201432c568340560a1
3 P_i 14 12 cf38148148168038f1c00c0840040cf0a00c00400c
3 D_i 14 15 cf70c060602030180804060303818840202c0ff34100c00020003
3 f_5 14 12 0e0030030030c70010810817801807808c08409307
4 \phi 14 8 02020283452939999cb4e3804040
3 ngt 14 21 000080000010000200006ef0ffb11990133312266364446c4bc4b83e93000300002000c300
10 \mathbf{i} 12 4 27000766666f
10 \mathbf{v} 7 10 f8332c8061870c0030
1 p 10 9 cf422644c88811f12040e10
3 opr 10 22 c3f37b0313134646489890122224cc8c0e0f110040000010000f000
13 \frac{n}{k+1} 32 38 0008f3000000098000000003200000004c00000000110000000641000000807000000000000000000000000000000000000000000000000000000000000cfffffffff00000000000000000000000000000000000000000000000070000008180008008502000200018000800040b30020001c000800040300ff7001c1008000489000200016a008000488300200c70000800000000020000
15 \frac{a+1}{n^2} 34 37 0000000810000800c200000100400000200808700400018800800028118ff30403300200802600400014410800020b300100f10000200000000400000000000000000000000000000000000000000000000000cffffffff70000000000000000000000000000000007000000009000000000100000000300000000300000cf1210000422e1000006400000004c000000088000000081500000001e00000
10 \texttt{C} 10 7 c73f030180406866e1
10 \texttt{G} 10 7 c39d820188786423e1
8 {}_{r_i} 6 8 e9596c28240c
3 h_m 14 18 e00001000400001000e700811002400880003200c4af7175210894002b3084e
8 {}_{s_l} 7 8 c16dcd25f40406
3 k_q 16 12 e00400400400670600600e0031035e17908808800700400e
1 J 11 9 0e1810306040c081032266830
3 i_b 14 9 400000000708089113262dd9489091c1
7 {}_{mi} 7 13 0001008f7e29a62956794e6
4 [b_i 17 12 3001001301301101109f0911901989d809cc97a10c10410c300
7 {}_{,0} 8 7 8742198446ee50
14 \sum_{i=1}^{k} 42 19 00200001000800004300071008300041000a100000000000000000000efff3700813000130000300083000810008100081000c1000400003000c00003000800002000800042008bffff00000000000000000008008300001300849f74c00022ef11300e1
8 {}_{a_i} 6 9 c15264ec9eb003
2 ba 11 14 c0003004000100e3e91542c198763a89c2ae1b3
7 {}_{13} 7 9 7e942162c4096eb3
3 t_m 14 15 800040002008100f1002000100c00060009ef9b29089404670293
3 (pr 18 19 400002000800004000030008100048f9b321311c8c80262401112c8c01e3281100880004f0004000040000
3 '_i 18 4 88c442200004065626
3 b_k 14 12 c00c00400400e3064024126132123de9b083082086
3 y_v 10 12 74046066062022033beba01b919707
3 P_j 16 14 cf3060181406818030e70c00030c4000106f04100400010060080081
8 {}_{i_2} 8 9 400089b2d60509110f
8 {}_{i_k} 9 9 400081823644cb95070a1
7 a_{i_1} 11 16 c300220032003320130015346f26003400140034000e
2 n' 14 12 00800800c004004002002ef0980c804c04406412c1
7 {}_{,3} 8 7 874281c046ee40
2 gt 14 12 0040040040068ff46266266322323dc37030010f00
3 v_3 10 11 72021810c4f2a490b381080c40c1
4 y'_j 20 12 00400400600200200100174046066062022c330e36015914704006002081
7 \left [ 34 4 f11111111111111111111111111111111f
15 \frac{a+1}{n^2} 34 37 00000000300008008500000100800000200018700400028800800048118ff30803300200012600400024410800040b300100e30000200000000400000000000000000000000000000000000000000000000000cffffffff70000000000000000000000000000000007000000009000000000100000000300000000300000cf1210000422e1000006400000004c000000088000000081500000001e00000
8 \right ] 34 4 f88888888888888888888888888888888f
3 F_k 14 16 8ff081c08140811089008f00c801c0014001400df18b008300820086
10 \textrm{a} 7 7 e9907621d8ef1
3 Okr 12 27 000c0008f070003c0300c08810020440c800227e700990320cc381102e1c818091681388018f0fef3
3 '_j 20 5 48811224000000c0892488191
4 y'_j 20 12 00200200300100108008074046066062022c330e36015914704006002081
7 {}_{,4} 8 8 02020202cf023f20
6 F_{k-} 14 24 8ff00081c0008140008110008900008f0000c88000c08000408000408600f1c50000c1ef004100004300
7 {}_{2j} 9 9 e831023656842d3302030
6 {}_1^k 19 5 2480d7f496000007801248c3
2 Fi 11 16 8ff481c08140811089078f04c806c00240024009f107
3 Okr 12 26 000c000c78300c03c00810130020440640019bf1046264089781102e16c048c816c02220f1edf3
12 \texttt{UAB} 11 25 000200ed36cf901c126128348240788580b0f901632212c748248c80dc81113f83ff3
16 \frac{n(n-1)}{2} 36 61 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
3 i_a 14 10 4000000000700106080020427721440938f
11 (\textrm{s} 18 10 400102080030c001f74c1e407116c81fd002080040020
10 \textrm{u} 8 8 66764444444444cf
12 \textrm{yfr} 14 19 0083000200001000881fcfd7222c031120580182480c02404cff020008000830000
12 \textrm{zby} 15 23 0030000c100008000004000002000f1fd3f088980248c48024410012a089813c7c701000080000020000e00
11 \textrm{k}) 18 13 002c0cc10120440880039342084109202904238fe900010020020060040
15 \textrm{zby k}) 18 43 000000000800810000c0c00e0000070400400000204002000001020010000800bf8fe9104e0704c4400208012462005044012a00820208015004201c4c8100238e3e3800cb72000040000010000100008000070000020000000008100000000040
13 \sqrt{|i-j|}. 26 58 008fffffffffff0002000000000000080000000000000020000000000000400000000000000110000000040004400000000010080120000004400024000000000100801000000004000140000000001004093000000740001480000002118060130cff00640380440000008118020110000002406c042100000801b1109300000034c44040000000c01011010000000140c20400000083010a00100000000408304000000000106000000000000081000000000000060000000000000
2 yt 14 12 0040040040067cf462662623223339e37010910700
2 er 7 13 cbb5c4c7c80801012438720
16 \frac{n(n-1)}{6} 36 61 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
4 \rho 11 8 0788c8c84c64e320203010
3 b_x 14 13 c008100100200e30c80801013032046eb72500200600f1
3 a_y 12 13 c30440c8089101302a6adb400d00b00c1003083
2 Fi 11 15 8f74802060103108907c7423388104c003208e70c1
3 b_0 15 11 60030810400200f0c806401bf84661d880440620e1
1 b 12 6 6816802873e8174991
2 Fi 11 14 8f7240181406208983e39cc01304c08110af183
50 \underbrace{\pi(\pi(\ldots(\pi}_{k\;\textrm{razy}} 40 73 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
7 a_{i_k} 12 16 c300220032003320130015306f230032001f003b0007000d
11 \textrm{wh} 12 20 0003000830000200002000020777e34626246222ce22289122891268897f
11 \textrm{ch} 12 15 08100e0004000200010f8fc4c420221019088c84ccb7f
19 \max_{i=1,\ldots,s} 19 41 081000000000fb7c3ec100cc8c40b0008801e0c000011231810002242a050004484418100edfbfb3700000000000000000000000000000000200c1000000000200000c00040000879f78000085300010000e2ef1200002d000f6219f10000800020
7 \left ( 34 7 040140380201c0201806038140201804020180c060201808040602020303
29 \max_{j=k_{i-1}+1,\ldots,k_i} 20 79 000000c0000000000000000000e7f87c9300000000000066462850000000000000112c181000000000000880990c0000000000000448441a00000000000002242a0c000000000000cbf7f77e00000000000000000000000000000000000000000000000004000000000000040030020000080e000002000001000004040000010600860000020200008682ffe2200101010000e211007010c0ff800000788cfb2c00404040000826600434f320287629c432100001001010020040860000810c1800000000c
8 \right ) 34 7 10101018080404020181c06030180402018040281c060180201c02806010
19 \max_{i=1,\ldots,s} 19 56 000c0000000000000cfe1f837000000891990610000008801e0c0000000880990c00000008809824100000088098203000000edfbfb3700000000000000000000000000000000000081c000000400c10180010000000181800100060001807cd370e5ef118842a850b600018441a070e2ef11c4e19a409600c3f9fe8d3b700000200000020
37 \left ( \max_{j=k_{i-1}+1,\ldots,k_i} 34 87 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
36 \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} 26 174 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
14 \sum_{i=1}^{n} 40 18 08f00052008900023008c0000000000000000000cfff7700891008c0000600083000c0000600003000c10002000c00081000300040008000010082008ffff70000000000000000000000010070000910045ef1910042ef19100f
16 \sum_{i=1}^{n-1} 42 21 0000e000009f000a2100462f78460009c0087000000000000000000000efff3c1006030001c0000030000e0000810000600008100007000040000c0000c0000c00008000080000800048000e8ffff00000000000000000000000000040083000048100882ef116000248f748100e1
14 \sum_{j=i+1}^n 42 33 000c700000049000000031000000230000004600000000000000000000000000000000000000efff3000c1006000030001000c0000000030000000e0000000810000000600000008100000007000000040000000c0000000c0000000c00000008000000080000000800040008000e0008ffff00000000000000000000000000000000000000000000300401c10000020260081404a8ff280801006ef112ef502026008140f40000800600000100
3 M_X 14 25 830f000706000e0e0004181008241008c0200091683723c0424e80824c0102c1970400000a100000200006c1
3 p_0 10 14 cf08440811026f88423a8c722188406e30f
8 {}_{k_1} 10 9 2040800d079e851a6408083
13 \frac{a}{n^2} 30 17 087008800811003300260044100b3000000000000000000000000000000cfff7000000000000000c100420004000c000c0f78498878110013002200641048300
10 \texttt{T} 10 7 ff42201804020180f0
11 \rightarrow 6 14 0080002000dfff0000002
89 \frac{\textrm{liczba wartościowań, dla których wartością formuły jest prawda}}{2^n} 33 407 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
3 F_k 14 15 8ff0c06060103208900c70032281014080204f7071083004100a1
38 \left (\max_{j=k_{i-1}+1, \ldots, k_i} 34 87 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
8 \uparrow 15 6 c8792280280280280280280
3 Y_1 14 13 f03c020120620c200700600c07808810970200400800c3
3 Y_2 14 14 f0381404800310c200e0081006078021304e1810030042087
3 k_n 14 13 e008000100200670c0081007003106ae7cb40890091023