Returned 97 matches (100 formulae, 101 docs)
    Lookup 4940.280 ms, Re-ranking 4455.830 ms
    Found 21405976 tuple postings, 6889713 formulae, 3282457 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Bn(k)(x)=l=0n(nl)Bn-l(k)xl=l=0n(nl)Bl(k)xn-l.
Doc 1
0.7459, -17.0000, 14.0000, 0.7459
testing/NTCIR/xhtml5/9/1306.6697/1306.6697_1_1.xhtml
(v+w)n=0n[nm]q2wmvn-m=0n[nm]q-2vmwn-m
Doc 2
0.7293, -12.0000, 13.0000, 0.7293
testing/NTCIR/xhtml5/2/math0101072/math0101072_1_57.xhtml
(x+y)n=k=0n[nk]qykxn-k=k=0n[nk]q-1xkyn-k.
Doc 3
0.7293, -16.0000, 21.0000, 0.7293
testing/NTCIR/xhtml5/4/math0602613/math0602613_1_22.xhtml
Doc 4
0.7293, -16.0000, 21.0000, 0.7293
testing/NTCIR/xhtml5/10/math9509223/math9509223_1_16.xhtml
G~n+1,q(x)=k=0n(n+1k+1)G~k+1,qxn-k=k=1n+1(n+1k)G~k,qxn+1-k.
Doc 5
0.6507, -37.0000, 15.0000, 0.6507
testing/NTCIR/xhtml5/8/1202.2643/1202.2643_1_13.xhtml
fn(x,y2)=k0(n-k-1k)xn-2kyk+k0(n-k-2k)xn-2k-2yk+2.
Doc 6
0.6338, -29.0000, 18.0000, 0.6338
testing/NTCIR/xhtml5/5/0811.4652/0811.4652_1_16.xhtml
En(r)(x)=l=0n(nl)El(r)xn-l=l=0n(nl)En-l(r)xl.
Doc 7
0.6189, -21.0000, 12.0000, 0.6189
testing/NTCIR/xhtml5/7/1007.3674/1007.3674_1_13.xhtml
sn(r,k)(x)=l=0n(nl)sl(r,k)xn-l=l=0n(nl)sn-l(r,k)xl.
Doc 8
0.6189, -27.0000, 12.0000, 0.6189
testing/NTCIR/xhtml5/9/1307.1793/1307.1793_1_2.xhtml
=i=0n(ni)μixn-i=i=0n(ni)xiμn-i.
Doc 9
0.5702, -12.0000, 14.0000, 0.5702
testing/NTCIR/xhtml5/8/1202.2507/1202.2507_1_35.xhtml
(x+y)n=k=0n(nk)xn-kyk,
Doc 10
0.5554, -3.0000, 17.0000, 0.5554
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_1.xhtml
(x+y)m=i=0m(mi)qxm-iyi
Doc 11
0.5554, -3.0000, 10.0000, 0.5554
testing/NTCIR/xhtml5/10/math9803070/math9803070_1_36.xhtml
(x+y)n=k=0n[nk]Qxn-kyk.
Doc 12
0.5554, -4.0000, 16.0000, 0.5554
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_34.xhtml
(A+B)n=k=0n(nk)qAn-kBk.
Doc 13
0.5554, -4.0000, 13.0000, 0.5554
testing/NTCIR/xhtml5/4/math0607566/math0607566_1_18.xhtml
(x+y)<qn=k=0n{nk}Q,qxn-kyk,
Doc 14
0.5554, -8.0000, 16.0000, 0.5554
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_12.xhtml
PMnP-1=(D+N)n=k=0n(nk)Dn-kNk.
Doc 15
0.5554, -10.0000, 13.0000, 0.5554
testing/NTCIR/xhtml5/5/0804.1327/0804.1327_1_31.xhtml
p(x):=k=0n(nk)1(k+d)!xk=k=0n(nk)1(n-k+d)!xn-k
Doc 16
0.5455, -23.0000, 16.0000, 0.5455
testing/NTCIR/xhtml5/7/1005.4218/1005.4218_1_22.xhtml
(x+y)n=k0(nk)xn-kyk,
Doc 17
0.5236, -3.0000, 16.0000, 0.5236
testing/NTCIR/xhtml5/6/0903.3216/0903.3216_1_21.xhtml
(x+y)n=k0(nk)𝒯1,1xn-kyk
Doc 18
0.5236, -6.0000, 16.0000, 0.5236
testing/NTCIR/xhtml5/6/0908.3248/0908.3248_1_58.xhtml
(x+y)m=n0(mn)xm-nyn,m,
Doc 19
0.5236, -7.0000, 10.0000, 0.5236
testing/NTCIR/xhtml5/6/0903.3391/0903.3391_1_18.xhtml
zn=k=0n-1(n-1k)xkyn-k+k=0n-1(n-1k)xk+1yn-k-1.
Doc 20
0.5065, -28.0000, 16.0000, 0.5065
testing/NTCIR/xhtml5/4/math0602672/math0602672_1_10.xhtml
g=j(iαijxiyn-i)x1jy1n-j=i(jαijx1jy1n-j)xiyn-i.
Doc 21
0.4918, -32.0000, 11.0000, 0.4918
testing/NTCIR/xhtml5/5/0810.2001/0810.2001_1_16.xhtml
(x+y)p=j=0p(pj)xjyp-j=xp+yp,
Doc 22
0.4882, -10.0000, 10.0000, 0.4882
testing/NTCIR/xhtml5/2/math0211171/math0211171_1_481.xhtml
an=s=0m(ns)Asqn-s+km+1(nk)Bkqn-k.
Doc 23
0.4882, -17.0000, 12.0000, 0.4882
testing/NTCIR/xhtml5/3/math0402330/math0402330_1_76.xhtml
k<ζn(nk)pkqn-kkζn(nk)pζnqn.
Doc 24
0.4746, -13.0000, 10.0000, 0.4746
testing/NTCIR/xhtml5/2/math0011158/math0011158_1_127.xhtml
(x+y)n=k=0n(nk)yn-kxk, n𝐙+.
Doc 25
0.4561, -10.0000, 15.0000, 0.4561
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_14.xhtml
(x+y)n=k=0n(nk)yn-kxk, n+,
Doc 26
0.4561, -10.0000, 15.0000, 0.4561
testing/NTCIR/xhtml5/4/math0701369/math0701369_1_3.xhtml
(x+y)n=k=0n[nk]qyn-kxk, n𝐙+.
Doc 27
0.4561, -11.0000, 14.0000, 0.4561
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_15.xhtml
(x+y)n=k=0n[nk]qyn-kxk  (xy=qyx).
Doc 28
0.4561, -13.0000, 14.0000, 0.4561
testing/NTCIR/xhtml5/4/math0511148/math0511148_1_88.xhtml
(x+y)n=k=0nCnkxn-kyk
Doc 29
0.4427, -5.0000, 14.0000, 0.4427
testing/NTCIR/xhtml5/2/hep-th0207261/hep-th0207261_1_8.xhtml
f(z)k=0n-1(nk)f(k)(z)=k=0n(nk)f(k)(z)
Doc 30
0.4427, -17.0000, 11.0000, 0.4427
testing/NTCIR/xhtml5/9/1302.3115/1302.3115_1_21.xhtml
nxn-1=k=1n(nk)Bn-k(x)=k=0n-1(nk)Bk(x),
Doc 31
0.4427, -21.0000, 12.0000, 0.4427
testing/NTCIR/xhtml5/5/0810.0438/0810.0438_1_50.xhtml
(n+1)Xn=k=1n+1(n+1k)Bn+1-k(X)=k=0n(n+1k)Bk(X)
Doc 32
0.4427, -27.0000, 12.0000, 0.4427
testing/NTCIR/xhtml5/9/1309.7560/1309.7560_1_32.xhtml
(x+y)n=0n(ni)qxiyn-i
Doc 33
0.4282, -5.0000, 12.0000, 0.4282
testing/NTCIR/xhtml5/1/math0009106/math0009106_1_56.xhtml
En(x)=k=0n(nk)xn-kEk
Doc 34
0.4282, -5.0000, 12.0000, 0.4282
testing/NTCIR/xhtml5/7/1010.1981/1010.1981_1_38.xhtml
(x+y)n=k=0n(nk)xkyn-k
Doc 35
0.4282, -6.0000, 13.0000, 0.4282
testing/NTCIR/xhtml5/5/0708.1430/0708.1430_1_12.xhtml
(x+y)n=j=0n(nj)xjyn-j
Doc 36
0.4282, -6.0000, 12.0000, 0.4282
testing/NTCIR/xhtml5/1/math0502560/math0502560_1_9.xhtml
(x+y)k=j=0k(kj)xjyk-j
Doc 37
0.4282, -6.0000, 9.0000, 0.4282
testing/NTCIR/xhtml5/2/math0212344/math0212344_1_20.xhtml
(a+b)n=k=0n(nk)akbn-k
Doc 38
0.4282, -6.0000, 9.0000, 0.4282
testing/NTCIR/xhtml5/9/math9301202/math9301202_1_19.xhtml
(x+y)n=k=0n(nk)xkyn-k.
Doc 39
0.4282, -7.0000, 13.0000, 0.4282
testing/NTCIR/xhtml5/5/0810.3554/0810.3554_1_121.xhtml
(x+y)n=k=0n(nk)qxkyn-k
Doc 40
0.4282, -7.0000, 13.0000, 0.4282
testing/NTCIR/xhtml5/5/0708.1430/0708.1430_1_37.xhtml
Doc 41
0.4282, -7.0000, 13.0000, 0.4282
testing/NTCIR/xhtml5/10/math9803003/math9803003_1_51.xhtml
(x+y)n=j=0n(nj)xjyn-j,
Doc 42
0.4282, -7.0000, 12.0000, 0.4282
testing/NTCIR/xhtml5/3/math0408067/math0408067_1_81.xhtml
(a+c)n=k=0n(nk)akcn-k,
Doc 44
0.4282, -7.0000, 9.0000, 0.4282
testing/NTCIR/xhtml5/1/math0608026/math0608026_1_2.xhtml
(u+v)n=k=0n(nk)xukvn-k
Doc 43
0.4282, -7.0000, 9.0000, 0.4282
testing/NTCIR/xhtml5/10/math9809086/math9809086_1_10.xhtml
(x+y)k=r=0k[kr]xryk-r.
Doc 45
0.4282, -7.0000, 8.0000, 0.4282
testing/NTCIR/xhtml5/10/q-alg9704013/q-alg9704013_1_16.xhtml
(x+y)n=k=0n[nk]qxkyn-k,
Doc 46
0.4282, -8.0000, 12.0000, 0.4282
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_5.xhtml
             (x+y)n=r=0n[nr]xryn-r,             (A1)
Doc 47
0.4282, -8.0000, 11.0000, 0.4282
testing/NTCIR/xhtml5/10/q-alg9704013/q-alg9704013_1_14.xhtml
(x+z)n=i=0n(ni)qxizn-i.
Doc 48
0.4282, -8.0000, 10.0000, 0.4282
testing/NTCIR/xhtml5/2/math0204075/math0204075_1_8.xhtml
h(x)=(x+y)n=k=0n(nk)xkyn-k
Doc 49
0.4282, -10.0000, 13.0000, 0.8070
testing/NTCIR/xhtml5/2/quant-ph0105017/quant-ph0105017_1_111.xhtml
(x+y)m=k=0m(mk)v-1xkym-k..3
Doc 50
0.4282, -10.0000, 10.0000, 0.4282
testing/NTCIR/xhtml5/4/math0608559/math0608559_1_59.xhtml
(x+y)n=k=0n(nk)xkyn-k    (n)
Doc 51
0.4282, -11.0000, 13.0000, 0.4282
testing/NTCIR/xhtml5/6/1002.1383/1002.1383_1_4.xhtml
iz,w(z-w)n=k=0(nk)zn-k(-w)k,
Doc 52
0.4240, -12.0000, 11.0000, 0.4240
testing/NTCIR/xhtml5/3/math0402315/math0402315_1_11.xhtml
(-yx+y)n=k=0n[nk]qyn-k(-yx)k.
Doc 53
0.4240, -12.0000, 11.0000, 0.4240
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_19.xhtml
k=0n(nk)xkyn-kαk+k=0n(nk)xkyn-kβk
Doc 54
0.4240, -18.0000, 14.0000, 0.7569
testing/NTCIR/xhtml5/1/math0211366/math0211366_1_12.xhtml
Bn(x)=k=0n(nk)Bkxn-k.
Doc 55
0.4108, -6.0000, 10.0000, 0.4108
testing/NTCIR/xhtml5/8/1109.0326/1109.0326_1_4.xhtml
fn(x)=k=0n(nk)xpkman-k
Doc 56
0.4108, -7.0000, 11.0000, 0.4108
testing/NTCIR/xhtml5/8/1202.0362/1202.0362_1_34.xhtml
Bn(α)(x)=k=0n(nk)Bk(α)xn-k,
Doc 57
0.4108, -10.0000, 9.0000, 0.4108
testing/NTCIR/xhtml5/7/1106.5146/1106.5146_1_7.xhtml
G~n,q(x)=k=0n(nk)G~k,qxn-k
Doc 58
0.4108, -11.0000, 9.0000, 0.4108
testing/NTCIR/xhtml5/8/1202.2643/1202.2643_1_14.xhtml
(xqy)n=k=0n(nk)q(-1)n-kxkyn-k.
Doc 59
0.4039, -14.0000, 14.0000, 0.4039
testing/NTCIR/xhtml5/4/math0701369/math0701369_1_20.xhtml
=An(x:a)=x(x-an)n-1=k=1n(n-1k-1)(-an)n-kxk
Doc 60
0.4039, -24.0000, 13.0000, 0.4039
testing/NTCIR/xhtml5/9/1303.7309/1303.7309_1_6.xhtml
(x+y)n=k(nk)xkyn-k.
Doc 61
0.3964, -5.0000, 12.0000, 0.3964
testing/NTCIR/xhtml5/7/1105.3513/1105.3513_1_5.xhtml
(x+y)n=k=0(nk)xkyn-k.
Doc 62
0.3964, -8.0000, 12.0000, 0.3964
testing/NTCIR/xhtml5/7/1105.3513/1105.3513_1_11.xhtml
Δ(xn)=k=0n[nk]qxn-kxk.
Doc 63
0.3964, -9.0000, 11.0000, 0.3964
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_134.xhtml
(xqy)n=k=0n(nk)qxkyn-k.
Doc 64
0.3964, -10.0000, 12.0000, 0.3964
testing/NTCIR/xhtml5/4/math0701369/math0701369_1_7.xhtml
En,q(x)=k=0n(nk)[x]qn-kqkxEk,q.
Doc 65
0.3919, -15.0000, 12.0000, 0.3919
testing/NTCIR/xhtml5/7/1008.0233/1008.0233_1_22.xhtml
𝔼(Yk)=t=0n(tk)P(Y=t)=t=kn(tk)pt(1-p)n-t(nt)=(nk)pk
Doc 66
0.3822, -30.0000, 12.0000, 0.3822
testing/NTCIR/xhtml5/9/1401.6823/1401.6823_1_35.xhtml
Bn(x)=k=0n(nk)Bkxn-k
Doc 67
0.3788, -6.0000, 9.0000, 0.3788
testing/NTCIR/xhtml5/9/1401.5618/1401.5618_1_16.xhtml
Doc 68
0.3788, -6.0000, 9.0000, 0.3788
testing/NTCIR/xhtml5/5/0809.3277/0809.3277_1_62.xhtml
En(x)=n=0n(nk)Ekxn-k,
Doc 69
0.3788, -7.0000, 9.0000, 0.3788
testing/NTCIR/xhtml5/1/math0508233/math0508233_1_2.xhtml
Bn(x)=k=0n(nk)Bkxn-k,
Doc 70
0.3788, -7.0000, 9.0000, 0.3788
testing/NTCIR/xhtml5/9/1304.4509/1304.4509_1_25.xhtml
Bn(x)=k=0n(nk)Bkxn-k(x+ι)n.
Doc 71
0.3788, -13.0000, 9.0000, 0.3788
testing/NTCIR/xhtml5/7/1004.4989/1004.4989_1_20.xhtml
xh(x)=nx(x+y)n-1=k=0n(nk)kxkyn-k
Doc 49
0.4282, -10.0000, 13.0000, 0.8070
testing/NTCIR/xhtml5/2/quant-ph0105017/quant-ph0105017_1_111.xhtml
Pn(x)=k=0n(nk)2(x-1)n-k(x+1)k/2n
Doc 72
0.3714, -15.0000, 13.0000, 0.3714
testing/NTCIR/xhtml5/9/1310.5882/1310.5882_1_100.xhtml
km(m+rk)xkym-k=km(-rk)(-x)k(x+y)m-k,
Doc 73
0.3714, -22.0000, 11.0000, 0.3714
testing/NTCIR/xhtml5/6/1001.2156/1001.2156_1_16.xhtml
(x+1)n=k=0n(nk)xk
Doc 74
0.3646, -4.0000, 11.0000, 0.3646
testing/NTCIR/xhtml5/6/0904.2672/0904.2672_1_21.xhtml
=k=0n(nk)xn-kBk,
Doc 75
0.3646, -4.0000, 10.0000, 0.3646
testing/NTCIR/xhtml5/5/0810.0438/0810.0438_1_8.xhtml
(x+1)n=k=0n(nk)xk,
Doc 76
0.3646, -5.0000, 11.0000, 0.3646
testing/NTCIR/xhtml5/4/math0603405/math0603405_1_9.xhtml
(A+B)n=k=0n(nk)qBkAn-k
Doc 77
0.3646, -9.0000, 9.0000, 0.3646
testing/NTCIR/xhtml5/7/1101.3810/1101.3810_1_52.xhtml
=k=0n(nk)βkzn-k=(z+β)n.
Doc 78
0.3646, -10.0000, 9.0000, 0.3646
testing/NTCIR/xhtml5/9/1401.0237/1401.0237_1_34.xhtml
pn,0(x,y)=k=0n(nk)xkyn-k
Doc 79
0.3646, -11.0000, 11.0000, 0.3646
testing/NTCIR/xhtml5/5/0707.1660/0707.1660_1_51.xhtml
Δ(xn)=i=0n(ni)qxian-ixn-i
Doc 80
0.3646, -13.0000, 8.0000, 0.3646
testing/NTCIR/xhtml5/5/0708.2685/0708.2685_1_183.xhtml
(x+y)qn=k=0n(nk)qk(n-k+12)xn-kyk,
Doc 81
0.3646, -20.0000, 11.0000, 0.3646
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_35.xhtml
(x+y)n=k=0ncn,kyn-kxk
Doc 82
0.3596, -8.0000, 12.0000, 0.3596
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_17.xhtml
Mn(x)=k=0n(nk)(n-1)n-k¯2kxk¯
Doc 83
0.3596, -13.0000, 12.0000, 0.3596
testing/NTCIR/xhtml5/6/0907.5420/0907.5420_1_135.xhtml
(Δ(xn)u)(t)=k=0n(nk)(-x)n-ku(xkt).
Doc 84
0.3596, -16.0000, 10.0000, 0.3596
testing/NTCIR/xhtml5/3/math0405544/math0405544_1_48.xhtml
((1-p)δ0+pδ1)n=k=0n(nk)(1-p)n-kpkδk
Doc 85
0.3596, -20.0000, 11.0000, 0.3596
testing/NTCIR/xhtml5/4/math0702158/math0702158_1_87.xhtml
Pμ,n(z)=k=0nγk(nk)zn-k=j,k(nk)(kj)μk-2jzn-k.
Doc 86
0.3596, -29.0000, 11.0000, 0.3596
testing/NTCIR/xhtml5/6/0909.1927/0909.1927_1_18.xhtml
Bn(x)=k=0n(nk)Bk(xa)n-k.
Doc 87
0.3386, -10.0000, 10.0000, 0.3386
testing/NTCIR/xhtml5/5/0712.0138/0712.0138_1_8.xhtml
k=0n(nk)xkyn-kLk
Doc 54
0.4240, -18.0000, 14.0000, 0.7569
testing/NTCIR/xhtml5/1/math0211366/math0211366_1_12.xhtml
(x+ψa)n=k0(nk)ψakxn-k
Doc 88
0.3328, -10.0000, 9.0000, 0.3328
testing/NTCIR/xhtml5/3/math0402078/math0402078_1_13.xhtml
Doc 89
0.3328, -10.0000, 9.0000, 0.3328
testing/NTCIR/xhtml5/3/math0402078/math0402078_1_12.xhtml
j=0n-k(nj)xj-kBkn-j(x)=(nk).
Doc 90
0.3328, -15.0000, 7.0000, 0.3328
testing/NTCIR/xhtml5/1/1111.4880/1111.4880_1_64.xhtml
k=mn(nk)xkyn-k(nm)xm(x+y)n-m.
Doc 91
0.3328, -17.0000, 10.0000, 0.3328
testing/NTCIR/xhtml5/7/1101.0900/1101.0900_1_115.xhtml
𝒩αβhαβxαyβ=αhααxαyα.
Doc 92
0.3273, -10.0000, 8.0000, 0.3273
testing/NTCIR/xhtml5/3/math0307379/math0307379_1_9.xhtml
=k=2m(mk)xk(x0+1)m-k-k=2mxkx0m-k
Doc 93
0.3273, -20.0000, 7.0000, 0.3273
testing/NTCIR/xhtml5/7/1006.2610/1006.2610_1_31.xhtml
(1+x)n=k=0n(nk)xk
Doc 94
0.3148, -5.0000, 10.0000, 0.3148
testing/NTCIR/xhtml5/9/1301.3658/1301.3658_1_17.xhtml
(1+x)n=k=0n(nk)xk,
Doc 95
0.3148, -6.0000, 10.0000, 0.3148
testing/NTCIR/xhtml5/6/0910.1263/0910.1263_1_46.xhtml
=k=2n(n-2k-2)qxk(1-x)qn-k
Doc 96
0.3148, -13.0000, 10.0000, 0.6296
testing/NTCIR/xhtml5/7/1008.4547/1008.4547_1_49.xhtml
=k=1n(n-1k-1)qxk(1-x)qn-k
Doc 96
0.3148, -13.0000, 10.0000, 0.6296
testing/NTCIR/xhtml5/7/1008.4547/1008.4547_1_49.xhtml
=k=0n(nk)x(a)n-k(b)kBbkan-k,
Doc 97
0.3148, -18.0000, 10.0000, 0.3148
testing/NTCIR/xhtml5/2/math0301123/math0301123_1_17.xhtml
(1+x)n=k=0n(nk)xk=k=0nCknxk,
Doc 98
0.2948, -17.0000, 10.0000, 0.2948
testing/NTCIR/xhtml5/5/0710.5556/0710.5556_1_15.xhtml
j=0n-k(-1)j(nj)Bkn-j(x)=(-1)n-k(nk)xn.
Doc 99
0.2819, -22.0000, 9.0000, 0.2819
testing/NTCIR/xhtml5/1/1111.4880/1111.4880_1_66.xhtml
k=12n+1(2nk-1)μxky2n-k+1+k=02n(2nk)μxky2n-k+1
Doc 100
0.2726, -34.0000, 10.0000, 0.2726
testing/NTCIR/xhtml5/5/0707.1660/0707.1660_1_68.xhtml
iσnx(i)=kKn(nk)xk
Doc 101
0.2373, -11.0000, 7.0000, 0.2373
testing/NTCIR/xhtml5/4/math0505129/math0505129_1_77.xhtml