Вираз 41: 2 Superscript, "k" , Baseline nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , "k" , right parenthesis plus Start sum from "l" equals "k" plus 1 to 4 "j" Subscript, 0 , Baseline minus 1, end sum, left parenthesis, negative 2 , right parenthesis Superscript, "l" , Baseline nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , "l" minus 1 , right parenthesis nCr left parenthesis, "l" , "k" minus 1 , right parenthesis2knCr4j0−2,k+4j0−1∑l=k+1−2lnCr4j0−2,l−1nCrl,k−1
41
Вираз 42: 2 Superscript, "k" , Baseline nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , "k" , right parenthesis2knCr4j0−2,k
42
Essais
Приховати цю папку від студентів.
43
Вираз 48: Start sum from "l" equals 0 to 4 "j" Subscript, 0 , Baseline minus 2, end sum, StartFraction, left parenthesis, negative 2 , right parenthesis Superscript, "l" , Baseline nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , "l" , right parenthesis Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "l" plus 2, end sum, left parenthesis, 2nCr left parenthesis, "l" plus 1 , "k" minus 1 , right parenthesis minus 2nCr left parenthesis, "l" plus 2 , "k" minus 1 , right parenthesis plus nCr left parenthesis, "l" , "k" minus 1 , right parenthesis , right parenthesis "B" left parenthesis, "k" , right parenthesis "n" Superscript, negative "k" , Baseline minus "B" left parenthesis, "l" plus 1 , right parenthesis "n" Superscript, negative "l" minus 1 , Baseline minus 2 "B" left parenthesis, "l" plus 2 , right parenthesis "n" Superscript, negative "l" minus 2 , Baseline , right parenthesis4j0−2∑l=0−2lnCr4j0−2,lnl+2∑k=12nCrl+1,k−1−2nCrl+2,k−1+nCrl,k−1Bkn−k−Bl+1n−l−1−2Bl+2n−l−2
48
Вираз 49: Start sum from "l" equals 0 to 2 "j" Subscript, 0 , Baseline minus 1, end sum, left parenthesis, StartFraction, left parenthesis, negative 2 , right parenthesis Superscript, 2 "l" , Baseline nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "l" plus 1, end sum, left parenthesis, 2nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" , 2 "k" minus 1 , right parenthesis , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline minus 2 "B" left parenthesis, 2 "l" plus 2 , right parenthesis "n" Superscript, negative 2 "l" minus 2 , Baseline , right parenthesis plus StartFraction, left parenthesis, negative 2 , right parenthesis Superscript, 1 plus 2 "l" , Baseline nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "l" plus 1, end sum, left parenthesis, 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 3 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline plus left parenthesis, 2 minus 2 left parenthesis, 2 "l" plus 3 , right parenthesis , right parenthesis "B" left parenthesis, 2 "l" plus 3 , right parenthesis "n" Superscript, negative 3 minus 2 "l" , Baseline minus "B" left parenthesis, 2 "l" plus 2 , right parenthesis "n" Superscript, negative 2 "l" minus 2 , Baseline , right parenthesis , right parenthesis2j0−1∑l=0−22lnCr4j0−2,2lnl+1∑k=12nCr2l+1,2k−1−2nCr2l+2,2k−1+nCr2l,2k−1B2kn−2k−2B2l+2n−2l−2+−21+2lnCr4j0−2,2l+1nl+1∑k=12nCr2l+2,2k−1−2nCr2l+3,2k−1+nCr2l+1,2k−1B2kn−2k+2−22l+3B2l+3n−3−2l−B2l+2n−2l−2
49
Вираз 50: Start sum from "l" equals 0 to 2 "j" Subscript, 0 , Baseline minus 1, end sum, StartFraction, 2 Superscript, 2 "l" , Baseline Over "n" , EndFraction left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis Start sum from "k" equals 1 to "l" plus 1, end sum, left parenthesis, 2nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" , 2 "k" minus 1 , right parenthesis , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis Start sum from "k" equals 1 to "l" plus 1, end sum, left parenthesis, 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 3 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline plus 2 left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis , right parenthesis "B" left parenthesis, 2 "l" plus 2 , right parenthesis "n" Superscript, negative 2 "l" minus 2 , Baseline , right parenthesis2j0−1∑l=022lnnCr4j0−2,2ll+1∑k=12nCr2l+1,2k−1−2nCr2l+2,2k−1+nCr2l,2k−1B2kn−2k−2nCr4j0−2,2l+1l+1∑k=12nCr2l+2,2k−1−2nCr2l+3,2k−1+nCr2l+1,2k−1B2kn−2k+2nCr4j0−2,2l+1−nCr4j0−2,2lB2l+2n−2l−2
50
Вираз 51: Start sum from "l" equals 0 to 2 "j" Subscript, 0 , Baseline minus 1, end sum, StartFraction, 4 Superscript, "l" , Baseline Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "l" plus 1, end sum, left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis left parenthesis, 2 left parenthesis, nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis minus nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis , right parenthesis plus nCr left parenthesis, 2 "l" , 2 "k" minus 1 , right parenthesis , right parenthesis minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis left parenthesis, 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 3 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis , right parenthesis , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline plus 2 left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis , right parenthesis "B" left parenthesis, 2 "l" plus 2 , right parenthesis "n" Superscript, negative 2 "l" minus 2 , Baseline , right parenthesis2j0−1∑l=04lnl+1∑k=1nCr4j0−2,2l2nCr2l+1,2k−1−nCr2l+2,2k−1+nCr2l,2k−1−2nCr4j0−2,2l+12nCr2l+2,2k−1−2nCr2l+3,2k−1+nCr2l+1,2k−1B2kn−2k+2nCr4j0−2,2l+1−nCr4j0−2,2lB2l+2n−2l−2
51
Вираз 52: Start sum from "l" equals 0 to 2 "j" Subscript, 0 , Baseline minus 1, end sum, StartFraction, 4 Superscript, "l" , Baseline Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "l" plus 1, end sum, left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis left parenthesis, nCr left parenthesis, 2 "l" , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 2 , right parenthesis , right parenthesis minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis left parenthesis, nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 2 , right parenthesis , right parenthesis , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline plus 2 left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis , right parenthesis "B" left parenthesis, 2 "l" plus 2 , right parenthesis "n" Superscript, negative 2 "l" minus 2 , Baseline , right parenthesis2j0−1∑l=04lnl+1∑k=1nCr4j0−2,2lnCr2l,2k−1−2nCr2l+1,2k−2−2nCr4j0−2,2l+1nCr2l+1,2k−1−2nCr2l+2,2k−2B2kn−2k+2nCr4j0−2,2l+1−nCr4j0−2,2lB2l+2n−2l−2
52
Essais
Приховати цю папку від студентів.
53
Вираз 56: nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis left parenthesis, 2nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" , 2 "k" minus 1 , right parenthesis , right parenthesis minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis left parenthesis, 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 3 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis , right parenthesisnCr4j0−2,2l2nCr2l+1,2k−1−2nCr2l+2,2k−1+nCr2l,2k−1−2nCr4j0−2,2l+12nCr2l+2,2k−1−2nCr2l+3,2k−1+nCr2l+1,2k−1
56
Вираз 57: StartFraction, left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , right parenthesis ! Over left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 minus 2 "l" , right parenthesis ! left parenthesis, 2 "k" minus 1 , right parenthesis ! , EndFraction left parenthesis, StartFraction, 1 Over left parenthesis, 2 "l" plus 1 minus 2 "k" , right parenthesis ! , EndFraction plus 2 StartFraction, 4 "l" plus 3 minus 4 "j" Subscript, 0 , Baseline Over left parenthesis, 2 "l" plus 2 minus 2 "k" , right parenthesis ! , EndFraction minus StartFraction, 2 left parenthesis, 2 "l" plus 2 , right parenthesis left parenthesis, 8 "j" Subscript, 0 , Baseline minus 3 minus 2 "l" , right parenthesis Over left parenthesis, 2 "l" plus 3 minus 2 "k" , right parenthesis ! , EndFraction plus StartFraction, 4 left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 minus 2 "l" , right parenthesis left parenthesis, 2 "l" plus 3 , right parenthesis left parenthesis, 2 "l" plus 2 , right parenthesis Over left parenthesis, 2 "l" plus 4 minus 2 "k" , right parenthesis ! , EndFraction , right parenthesis4j0−2!4j0−2−2l!2k−1!12l+1−2k!+24l+3−4j02l+2−2k!−22l+28j0−3−2l2l+3−2k!+44j0−2−2l2l+32l+22l+4−2k!
57
Вираз 58: StartFraction, left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , right parenthesis ! Over left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 minus 2 "l" , right parenthesis ! left parenthesis, 2 "k" minus 1 , right parenthesis ! , EndFraction StartFraction, 4 left parenthesis, negative 2 "k" cubed plus 14 "k" squared "l" plus 15 "k" squared minus 26 "k" "l" squared minus 68 "k" "l" minus 40 "k" plus 6 "l" cubed plus 33 "l" squared plus 52 "l" plus 24 plus 4 "j" Subscript, 0 , Baseline left parenthesis, negative 2 "k" squared plus 8 "k" "l" plus 11 "k" minus 2 "l" squared minus 9 "l" minus 8 , right parenthesis , right parenthesis Over left parenthesis, 2 "l" plus 4 minus 2 "k" , right parenthesis ! , EndFraction4j0−2!4j0−2−2l!2k−1!4−2k3+14k2l+15k2−26kl2−68kl−40k+6l3+33l2+52l+24+4j0−2k2+8kl+11k−2l2−9l−82l+4−2k!
58
Вираз 59:
59
Вираз 60: "K" left parenthesis, "l" , "k" , right parenthesis equals left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis left parenthesis, 2nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" , 2 "k" minus 1 , right parenthesis , right parenthesis minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis left parenthesis, 2nCr left parenthesis, 2 "l" plus 2 , 2 "k" minus 1 , right parenthesis minus 2nCr left parenthesis, 2 "l" plus 3 , 2 "k" minus 1 , right parenthesis plus nCr left parenthesis, 2 "l" plus 1 , 2 "k" minus 1 , right parenthesis , right parenthesis , right parenthesisKl,k=nCr4j0−2,2l2nCr2l+1,2k−1−2nCr2l+2,2k−1+nCr2l,2k−1−2nCr4j0−2,2l+12nCr2l+2,2k−1−2nCr2l+3,2k−1+nCr2l+1,2k−1
60
Вираз 61: Start sum from "l" equals 0 to 2 "j" Subscript, 0 , Baseline minus 1, end sum, StartFraction, 4 Superscript, "l" , Baseline Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "l" plus 1, end sum, "K" left parenthesis, "l" , "k" , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline plus 2 left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" plus 1 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 2 "l" , right parenthesis , right parenthesis "B" left parenthesis, 2 "l" plus 2 , right parenthesis "n" Superscript, negative 2 "l" minus 2 , Baseline , right parenthesis2j0−1∑l=04lnl+1∑k=1Kl,kB2kn−2k+2nCr4j0−2,2l+1−nCr4j0−2,2lB2l+2n−2l−2
61
Вираз 62: Start sum from "l" equals 1 to 2 "j" Subscript, 0 , Baseline , end sum, StartFraction, 4 Superscript, 2 "l" minus 2 , Baseline Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to 2 "l" , end sum, left parenthesis, 4 "K" left parenthesis, 2 "l" minus 1 , "k" , right parenthesis plus "K" left parenthesis, 2 "l" minus 2 , "k" , right parenthesis , right parenthesis "B" left parenthesis, 2 "k" , right parenthesis "n" Superscript, negative 2 "k" , Baseline plus 4 left parenthesis, 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 1 , right parenthesis minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 2 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 3 , right parenthesis , right parenthesis "B" left parenthesis, 4 "l" , right parenthesis "n" Superscript, negative 4 "l" , Baseline plus 2 left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 3 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 4 , right parenthesis , right parenthesis "B" left parenthesis, 4 "l" minus 2 , right parenthesis "n" Superscript, 2 minus 4 "l" , Baseline , right parenthesis2j0∑l=142l−2n2l∑k=14K2l−1,k+K2l−2,kB2kn−2k+42nCr4j0−2,4l−1−2nCr4j0−2,4l−2−nCr4j0−2,4l−3B4ln−4l+2nCr4j0−2,4l−3−nCr4j0−2,4l−4B4l−2n2−4l
62
Вираз 63: Start sum from "l" equals 1 to 2 "j" Subscript, 0 , Baseline , end sum, StartFraction, 4 Superscript, 2 "l" minus 2 , Baseline Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "l" , end sum, left parenthesis, left parenthesis, 4 "K" left parenthesis, 2 "l" minus 1 , 2 "k" , right parenthesis plus "K" left parenthesis, 2 "l" minus 2 , 2 "k" , right parenthesis , right parenthesis "B" left parenthesis, 4 "k" , right parenthesis plus left parenthesis, 4 "K" left parenthesis, 2 "l" minus 1 , 2 "k" minus 1 , right parenthesis plus "K" left parenthesis, 2 "l" minus 2 , 2 "k" minus 1 , right parenthesis , right parenthesis "B" left parenthesis, 4 "k" minus 2 , right parenthesis "n" squared , right parenthesis "n" Superscript, negative 4 "k" , Baseline plus 4 left parenthesis, 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 1 , right parenthesis minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 2 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 3 , right parenthesis , right parenthesis "B" left parenthesis, 4 "l" , right parenthesis "n" Superscript, negative 4 "l" , Baseline plus 2 left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 3 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 4 , right parenthesis , right parenthesis "B" left parenthesis, 4 "l" minus 2 , right parenthesis "n" Superscript, 2 minus 4 "l" , Baseline , right parenthesis2j0∑l=142l−2nl∑k=14K2l−1,2k+K2l−2,2kB4k+4K2l−1,2k−1+K2l−2,2k−1B4k−2n2n−4k+42nCr4j0−2,4l−1−2nCr4j0−2,4l−2−nCr4j0−2,4l−3B4ln−4l+2nCr4j0−2,4l−3−nCr4j0−2,4l−4B4l−2n2−4l
63
Вираз 64: Start sum from "l" equals 1 to 2 "j" Subscript, 0 , Baseline , end sum, StartFraction, 4 Superscript, 2 "l" minus 2 , Baseline Over "n" , EndFraction left parenthesis, Start sum from "k" equals 1 to "j" Subscript, 0 , Baseline , end sum, left parenthesis, left parenthesis, 4 "K" left parenthesis, 2 "l" minus 1 , 2 "k" , right parenthesis plus "K" left parenthesis, 2 "l" minus 2 , 2 "k" , right parenthesis , right parenthesis "B" left parenthesis, 4 "k" , right parenthesis plus left parenthesis, 4 "K" left parenthesis, 2 "l" minus 1 , 2 "k" minus 1 , right parenthesis plus "K" left parenthesis, 2 "l" minus 2 , 2 "k" minus 1 , right parenthesis , right parenthesis "B" left parenthesis, 4 "k" minus 2 , right parenthesis "n" squared , right parenthesis "n" Superscript, negative 4 "k" , Baseline plus 4 left parenthesis, 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 1 , right parenthesis minus 2nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 2 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 3 , right parenthesis , right parenthesis "B" left parenthesis, 4 "l" , right parenthesis "n" Superscript, negative 4 "l" , Baseline plus 2 left parenthesis, nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 3 , right parenthesis minus nCr left parenthesis, 4 "j" Subscript, 0 , Baseline minus 2 , 4 "l" minus 4 , right parenthesis , right parenthesis "B" left parenthesis, 4 "l" minus 2 , right parenthesis "n" Superscript, 2 minus 4 "l" , Baseline , right parenthesis2j0∑l=142l−2nj0∑k=14K2l−1,2k+K2l−2,2kB4k+4K2l−1,2k−1+K2l−2,2k−1B4k−2n2n−4k+42nCr4j0−2,4l−1−2nCr4j0−2,4l−2−nCr4j0−2,4l−3B4ln−4l+2nCr4j0−2,4l−3−nCr4j0−2,4l−4B4l−2n2−4l
Вираз 68: StartFraction, 2 left parenthesis, 2 "k" , right parenthesis ! Over left parenthesis, 2 pi , right parenthesis Superscript, 2 "k" , Baseline , EndFraction less than left parenthesis, negative 1 , right parenthesis Superscript, "k" plus 1 , Baseline "B" left parenthesis, 2 "k" , right parenthesis less than StartFraction, 2 left parenthesis, 2 "k" , right parenthesis ! Over left parenthesis, 2 pi , right parenthesis Superscript, 2 "k" , Baseline left parenthesis, 1 minus 2 Superscript, 1 minus 2 "k" , Baseline , right parenthesis , EndFraction22k!2π2k<−1k+1B2k<22k!2π2k1−21−2k
68
Вираз 69:
69
Вираз 70:
70
Вираз 71: StartFraction, 2 left parenthesis, 4 "l" minus 2 , right parenthesis ! Over left parenthesis, 2 pi , right parenthesis Superscript, 4 "l" minus 2 , Baseline , EndFraction less than "B" left parenthesis, 4 "l" minus 2 , right parenthesis less than StartFraction, 2 left parenthesis, 4 "l" minus 2 , right parenthesis ! Over left parenthesis, 2 pi , right parenthesis Superscript, 4 "l" minus 2 , Baseline left parenthesis, 1 minus 2 Superscript, 3 minus 4 "l" , Baseline , right parenthesis , EndFraction24l−2!2π4l−2<B4l−2<24l−2!2π4l−21−23−4l
71
Вираз 72: StartFraction, 2 left parenthesis, 4 "l" , right parenthesis ! Over left parenthesis, 2 pi , right parenthesis Superscript, 4 "l" , Baseline , EndFraction less than negative "B" left parenthesis, 4 "l" , right parenthesis less than StartFraction, 2 left parenthesis, 4 "l" , right parenthesis ! Over left parenthesis, 2 pi , right parenthesis Superscript, 4 "l" , Baseline left parenthesis, 1 minus 2 Superscript, 1 minus 4 "l" , Baseline , right parenthesis , EndFraction24l!2π4l<−B4l<24l!2π4l1−21−4l
72
Вираз 73:
73
Вираз 74:
74
Вираз 75:
75
Вираз 76:
76
Вираз 77: "B" left parenthesis, "x" , right parenthesis equals Start sum from "i" equals 0 to "x" , end sum, Start sum from "v" equals 0 to "i" , end sum, left parenthesis, negative 1 , right parenthesis Superscript, "v" , Baseline nCr left parenthesis, "i" , "v" , right parenthesis StartFraction, left parenthesis, "v" plus 1 , right parenthesis Superscript, "x" , Baseline Over "i" plus 1 , EndFractionBx=x∑i=0i∑v=0−1vnCri,vv+1xi+1
77
Вираз 78: "g" left parenthesis, "x" , right parenthesis equals StartFraction, 1 minus sign left parenthesis, "x" minus 1 half , right parenthesis Over 2 , EndFraction left parenthesis, "f" left parenthesis, "x" , right parenthesis minus "f" left parenthesis, 1 half , right parenthesis , right parenthesisgx=1−signx−122fx−f12
78
Вираз 79: "g" left parenthesis, "x" , right parenthesis plus "g" left parenthesis, 1 minus "x" , right parenthesisgx+g1−x
79
Вираз 80: "n" equals round left parenthesis, "x" , right parenthesisn=roundx
80
Вираз 81: StartFraction, 2 Over "n" , EndFraction Start sum from "k" equals 0 to floor left parenthesis, StartFraction, "n" Over 2 , EndFraction , right parenthesis , end sum, left parenthesis, "f" left parenthesis, StartFraction, "k" Over "n" , EndFraction , right parenthesis minus "f" left parenthesis, 1 half , right parenthesis , right parenthesis plus StartFraction, "f" left parenthesis, 1 half , right parenthesis minus "f" left parenthesis, 0 , right parenthesis Over "n" , EndFraction2nfloorn2∑k=0fkn−f12+f12−f0n
81
Вираз 82: StartFraction, 2 Over "n" , EndFraction Start sum from "k" equals 0 to "n" , end sum, "g" left parenthesis, StartFraction, "k" Over "n" , EndFraction , right parenthesis plus StartFraction, "f" left parenthesis, 1 half , right parenthesis minus "f" left parenthesis, 0 , right parenthesis Over "n" , EndFraction2nn∑k=0gkn+f12−f0n
82
Вираз 83: StartFraction, 2 Over "n" , EndFraction Start sum from "k" equals 1 to "n" , end sum, "g" left parenthesis, StartFraction, "k" Over "n" , EndFraction , right parenthesis minus StartFraction, "f" left parenthesis, 1 half , right parenthesis minus "f" left parenthesis, 0 , right parenthesis Over "n" , EndFraction2nn∑k=1gkn−f12−f0n
83
Вираз 84: StartFraction, 2 Over "n" , EndFraction Start sum from "k" equals 0 to "n" , end sum, "g" left parenthesis, StartFraction, "k" Over "n" , EndFraction , right parenthesis minus StartFraction, "f" left parenthesis, 1 half , right parenthesis minus "f" left parenthesis, 0 , right parenthesis Over "n" , EndFraction2nn∑k=0gkn−f12−f0n
84
Вираз 85:
85
Вираз 86: StartFraction, 2 Over 2 "n" , EndFraction Start sum from "k" equals 0 to "n" , end sum, left parenthesis, "f" left parenthesis, StartFraction, "k" Over 2 "n" , EndFraction , right parenthesis minus "f" left parenthesis, 1 half , right parenthesis , right parenthesis plus StartFraction, "f" left parenthesis, 1 half , right parenthesis minus "f" left parenthesis, 0 , right parenthesis Over 2 "n" , EndFraction22nn∑k=0fk2n−f12+f12−f02n
86
Вираз 87: StartFraction, 2 Over 2 "n" plus 1 , EndFraction Start sum from "k" equals 0 to "n" , end sum, left parenthesis, "f" left parenthesis, StartFraction, "k" Over 2 "n" plus 1 , EndFraction , right parenthesis minus "f" left parenthesis, 1 half , right parenthesis , right parenthesis plus StartFraction, "f" left parenthesis, 1 half , right parenthesis minus "f" left parenthesis, 0 , right parenthesis Over 2 "n" plus 1 , EndFraction22n+1n∑k=0fk2n+1−f12+f12−f02n+1
87
Вираз 88:
88
89
за підтримки
за підтримки
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
over÷
функції
((
))
less than<
greater than>
44
55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+
або
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