Returned 96 matches (100 formulae, 99 docs)
    Lookup 29394.600 ms, Re-ranking 4038.922 ms
    Found 125159905 tuple postings, 14564975 formulae, 5122820 documents
[ formulas ] [ documents ] [ documents-by-formula ]

Doc 1
0.7459
-17.0000
14.0000
0.7459
testing/NTCIR/xhtml5/9/1306.6697/1306.6697_1_1.xhtml
Bn(k)(x)=l=0n(nl)Bn-l(k)xl=l=0n(nl)Bl(k)xn-l.

Doc 2
0.7293
-12.0000
13.0000
0.7293
testing/NTCIR/xhtml5/2/math0101072/math0101072_1_57.xhtml
(v+w)n=0n[nm]q2wmvn-m=0n[nm]q-2vmwn-m

Doc 3
0.7293
-16.0000
21.0000
0.7293
testing/NTCIR/xhtml5/4/math0602613/math0602613_1_22.xhtml
(x+y)n=k=0n[nk]qykxn-k=k=0n[nk]q-1xkyn-k.

Doc 4
0.7293
-16.0000
21.0000
0.7293
testing/NTCIR/xhtml5/10/math9509223/math9509223_1_16.xhtml
(x+y)n=k=0n[nk]qykxn-k=k=0n[nk]q-1xkyn-k.

Doc 5
0.6507
-37.0000
15.0000
0.6507
testing/NTCIR/xhtml5/8/1202.2643/1202.2643_1_13.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 6
0.6338
-29.0000
18.0000
0.6338
testing/NTCIR/xhtml5/5/0811.4652/0811.4652_1_16.xhtml
fn(x,y2)=k0(n-k-1k)xn-2kyk+k0(n-k-2k)xn-2k-2yk+2.

Doc 7
0.6189
-21.0000
12.0000
0.6189
testing/NTCIR/xhtml5/7/1007.3674/1007.3674_1_13.xhtml
En(r)(x)=l=0n(nl)El(r)xn-l=l=0n(nl)En-l(r)xl.

Doc 8
0.6189
-27.0000
12.0000
0.6189
testing/NTCIR/xhtml5/9/1307.1793/1307.1793_1_2.xhtml
sn(r,k)(x)=l=0n(nl)sl(r,k)xn-l=l=0n(nl)sn-l(r,k)xl.

Doc 9
0.5702
-12.0000
14.0000
0.5702
testing/NTCIR/xhtml5/8/1202.2507/1202.2507_1_35.xhtml
=i=0n(ni)μixn-i=i=0n(ni)xiμn-i.

Doc 10
0.5554
-3.0000
17.0000
0.5554
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_1.xhtml
(x+y)n=k=0n(nk)xn-kyk,

Doc 11
0.5554
-4.0000
16.0000
0.5554
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_34.xhtml
(x+y)n=k=0n[nk]Qxn-kyk.

Doc 12
0.5554
-4.0000
13.0000
0.5554
testing/NTCIR/xhtml5/4/math0607566/math0607566_1_18.xhtml
(A+B)n=k=0n(nk)qAn-kBk.

Doc 13
0.5554
-8.0000
16.0000
0.5554
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_12.xhtml
(x+y)<qn=k=0n{nk}Q,qxn-kyk,

Doc 14
0.5554
-10.0000
13.0000
0.5554
testing/NTCIR/xhtml5/5/0804.1327/0804.1327_1_31.xhtml
PMnP-1=(D+N)n=k=0n(nk)Dn-kNk.

Doc 15
0.5455
-23.0000
16.0000
0.5455
testing/NTCIR/xhtml5/7/1005.4218/1005.4218_1_22.xhtml
p(x):=k=0n(nk)1(k+d)!xk=k=0n(nk)1(n-k+d)!xn-k

Doc 16
0.5236
-3.0000
16.0000
0.5236
testing/NTCIR/xhtml5/6/0903.3216/0903.3216_1_21.xhtml
(x+y)n=k0(nk)xn-kyk,

Doc 17
0.5236
-6.0000
16.0000
0.5236
testing/NTCIR/xhtml5/6/0908.3248/0908.3248_1_58.xhtml
(x+y)n=k0(nk)𝒯1,1xn-kyk

Doc 18
0.5236
-7.0000
10.0000
0.5236
testing/NTCIR/xhtml5/6/0903.3391/0903.3391_1_18.xhtml
(x+y)m=n0(mn)xm-nyn,m,

Doc 19
0.5065
-28.0000
16.0000
0.5065
testing/NTCIR/xhtml5/4/math0602672/math0602672_1_10.xhtml
zn=k=0n-1(n-1k)xkyn-k+k=0n-1(n-1k)xk+1yn-k-1.

Doc 20
0.4882
-10.0000
10.0000
0.4882
testing/NTCIR/xhtml5/2/math0211171/math0211171_1_481.xhtml
(x+y)p=j=0p(pj)xjyp-j=xp+yp,

Doc 21
0.4882
-17.0000
12.0000
0.4882
testing/NTCIR/xhtml5/3/math0402330/math0402330_1_76.xhtml
an=s=0m(ns)Asqn-s+km+1(nk)Bkqn-k.

Doc 22
0.4746
-13.0000
10.0000
0.4746
testing/NTCIR/xhtml5/2/math0011158/math0011158_1_127.xhtml
k<ζn(nk)pkqn-kkζn(nk)pζnqn.

Doc 23
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, n𝐙+.

Doc 24
0.4561
-10.0000
15.0000
0.4561
testing/NTCIR/xhtml5/4/math0701369/math0701369_1_3.xhtml
(x+y)n=k=0n(nk)yn-kxk, n+,

Doc 25
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, n𝐙+.

Doc 26
0.4561
-13.0000
14.0000
0.4561
testing/NTCIR/xhtml5/4/math0511148/math0511148_1_88.xhtml
(x+y)n=k=0n[nk]qyn-kxk  (xy=qyx).

Doc 27
0.4427
-5.0000
14.0000
0.4427
testing/NTCIR/xhtml5/2/hep-th0207261/hep-th0207261_1_8.xhtml
(x+y)n=k=0nCnkxn-kyk

Doc 28
0.4427
-17.0000
11.0000
0.4427
testing/NTCIR/xhtml5/9/1302.3115/1302.3115_1_21.xhtml
f(z)k=0n-1(nk)f(k)(z)=k=0n(nk)f(k)(z)

Doc 29
0.4427
-21.0000
12.0000
0.4427
testing/NTCIR/xhtml5/5/0810.0438/0810.0438_1_50.xhtml
nxn-1=k=1n(nk)Bn-k(x)=k=0n-1(nk)Bk(x),

Doc 30
0.4282
-5.0000
12.0000
0.4282
testing/NTCIR/xhtml5/1/math0009106/math0009106_1_56.xhtml
(x+y)n=0n(ni)qxiyn-i

Doc 31
0.4282
-5.0000
12.0000
0.4282
testing/NTCIR/xhtml5/7/1010.1981/1010.1981_1_38.xhtml
En(x)=k=0n(nk)xn-kEk

Doc 32
0.4282
-6.0000
13.0000
0.4282
testing/NTCIR/xhtml5/5/0708.1430/0708.1430_1_12.xhtml
(x+y)n=k=0n(nk)xkyn-k

Doc 33
0.4282
-6.0000
12.0000
0.4282
testing/NTCIR/xhtml5/1/math0502560/math0502560_1_9.xhtml
(x+y)n=j=0n(nj)xjyn-j

Doc 34
0.4282
-6.0000
9.0000
0.4282
testing/NTCIR/xhtml5/2/math0212344/math0212344_1_20.xhtml
(x+y)k=j=0k(kj)xjyk-j

Doc 35
0.4282
-6.0000
9.0000
0.4282
testing/NTCIR/xhtml5/9/math9301202/math9301202_1_19.xhtml
(a+b)n=k=0n(nk)akbn-k

Doc 36
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)xkyn-k.

Doc 37
0.4282
-7.0000
13.0000
0.4282
testing/NTCIR/xhtml5/5/0708.1430/0708.1430_1_37.xhtml
(x+y)n=k=0n(nk)qxkyn-k

Doc 38
0.4282
-7.0000
13.0000
0.4282
testing/NTCIR/xhtml5/10/math9803003/math9803003_1_51.xhtml
(x+y)n=k=0n(nk)qxkyn-k

Doc 39
0.4282
-7.0000
12.0000
0.4282
testing/NTCIR/xhtml5/3/math0408067/math0408067_1_81.xhtml
(x+y)n=j=0n(nj)xjyn-j,

Doc 40
0.4282
-7.0000
9.0000
0.4282
testing/NTCIR/xhtml5/10/math9809086/math9809086_1_10.xhtml
(u+v)n=k=0n(nk)xukvn-k

Doc 41
0.4282
-7.0000
9.0000
0.4282
testing/NTCIR/xhtml5/1/math0608026/math0608026_1_2.xhtml
(a+c)n=k=0n(nk)akcn-k,

Doc 42
0.4282
-7.0000
8.0000
0.4282
testing/NTCIR/xhtml5/10/q-alg9704013/q-alg9704013_1_16.xhtml
(x+y)k=r=0k[kr]xryk-r.

Doc 43
0.4282
-8.0000
12.0000
0.4282
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_5.xhtml
(x+y)n=k=0n[nk]qxkyn-k,

Doc 44
0.4282
-8.0000
11.0000
0.4282
testing/NTCIR/xhtml5/10/q-alg9704013/q-alg9704013_1_14.xhtml
             (x+y)n=r=0n[nr]xryn-r,             (A1)

Doc 45
0.4282
-8.0000
10.0000
0.4282
testing/NTCIR/xhtml5/2/math0204075/math0204075_1_8.xhtml
(x+z)n=i=0n(ni)qxizn-i.

Doc 46
0.4282
-10.0000
13.0000
0.8070
testing/NTCIR/xhtml5/2/quant-ph0105017/quant-ph0105017_1_111.xhtml
h(x)=(x+y)n=k=0n(nk)xkyn-k
xh(x)=nx(x+y)n-1=k=0n(nk)kxkyn-k

Doc 47
0.4282
-10.0000
10.0000
0.4282
testing/NTCIR/xhtml5/4/math0608559/math0608559_1_59.xhtml
(x+y)m=k=0m(mk)v-1xkym-k..3

Doc 48
0.4282
-11.0000
13.0000
0.4282
testing/NTCIR/xhtml5/6/1002.1383/1002.1383_1_4.xhtml
(x+y)n=k=0n(nk)xkyn-k    (n)

Doc 49
0.4240
-12.0000
11.0000
0.4240
testing/NTCIR/xhtml5/3/math0402315/math0402315_1_11.xhtml
iz,w(z-w)n=k=0(nk)zn-k(-w)k,

Doc 50
0.4240
-12.0000
11.0000
0.4240
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_19.xhtml
(-yx+y)n=k=0n[nk]qyn-k(-yx)k.

Doc 51
0.4240
-18.0000
14.0000
1.4225
testing/NTCIR/xhtml5/1/math0211366/math0211366_1_12.xhtml
k=0n(nk)xkyn-kαk+k=0n(nk)xkyn-kβk
k=0n(nk)xkyn-kLk
k=0n(nk)xkyn-kFk=F2n,
k=0n(nk)xkyn-kLk=L2n.

Doc 52
0.4108
-6.0000
10.0000
0.4108
testing/NTCIR/xhtml5/8/1109.0326/1109.0326_1_4.xhtml
Bn(x)=k=0n(nk)Bkxn-k.

Doc 53
0.4108
-7.0000
11.0000
0.4108
testing/NTCIR/xhtml5/8/1202.0362/1202.0362_1_34.xhtml
fn(x)=k=0n(nk)xpkman-k

Doc 54
0.4108
-10.0000
9.0000
0.4108
testing/NTCIR/xhtml5/7/1106.5146/1106.5146_1_7.xhtml
Bn(α)(x)=k=0n(nk)Bk(α)xn-k,

Doc 55
0.4108
-11.0000
9.0000
0.4108
testing/NTCIR/xhtml5/8/1202.2643/1202.2643_1_14.xhtml
G~n,q(x)=k=0n(nk)G~k,qxn-k

Doc 56
0.4039
-14.0000
14.0000
0.4039
testing/NTCIR/xhtml5/4/math0701369/math0701369_1_20.xhtml
(xqy)n=k=0n(nk)q(-1)n-kxkyn-k.

Doc 57
0.3964
-5.0000
12.0000
0.3964
testing/NTCIR/xhtml5/7/1105.3513/1105.3513_1_5.xhtml
(x+y)n=k(nk)xkyn-k.

Doc 58
0.3964
-8.0000
12.0000
0.3964
testing/NTCIR/xhtml5/7/1105.3513/1105.3513_1_11.xhtml
(x+y)n=k=0(nk)xkyn-k.

Doc 59
0.3964
-9.0000
11.0000
0.3964
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_134.xhtml
Δ(xn)=k=0n[nk]qxn-kxk.

Doc 60
0.3964
-10.0000
12.0000
0.3964
testing/NTCIR/xhtml5/4/math0701369/math0701369_1_7.xhtml
(xqy)n=k=0n(nk)qxkyn-k.

Doc 61
0.3822
-30.0000
12.0000
0.3822
testing/NTCIR/xhtml5/9/1401.6823/1401.6823_1_35.xhtml
𝔼(Yk)=t=0n(tk)P(Y=t)=t=kn(tk)pt(1-p)n-t(nt)=(nk)pk

Doc 62
0.3788
-6.0000
9.0000
0.3788
testing/NTCIR/xhtml5/5/0809.3277/0809.3277_1_62.xhtml
Bn(x)=k=0n(nk)Bkxn-k

Doc 63
0.3788
-6.0000
9.0000
0.3788
testing/NTCIR/xhtml5/9/1401.5618/1401.5618_1_16.xhtml
Bn(x)=k=0n(nk)Bkxn-k

Doc 64
0.3788
-7.0000
9.0000
0.3788
testing/NTCIR/xhtml5/1/math0508233/math0508233_1_2.xhtml
En(x)=n=0n(nk)Ekxn-k,

Doc 65
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,

Doc 66
0.3788
-13.0000
9.0000
0.3788
testing/NTCIR/xhtml5/7/1004.4989/1004.4989_1_20.xhtml
Bn(x)=k=0n(nk)Bkxn-k(x+ι)n.

Doc 67
0.3714
-15.0000
13.0000
0.3714
testing/NTCIR/xhtml5/9/1310.5882/1310.5882_1_100.xhtml
Pn(x)=k=0n(nk)2(x-1)n-k(x+1)k/2n

Doc 68
0.3714
-22.0000
11.0000
0.3714
testing/NTCIR/xhtml5/6/1001.2156/1001.2156_1_16.xhtml
km(m+rk)xkym-k=km(-rk)(-x)k(x+y)m-k,

Doc 69
0.3646
-4.0000
11.0000
0.3646
testing/NTCIR/xhtml5/6/0904.2672/0904.2672_1_21.xhtml
(x+1)n=k=0n(nk)xk

Doc 70
0.3646
-4.0000
10.0000
0.3646
testing/NTCIR/xhtml5/5/0810.0438/0810.0438_1_8.xhtml
=k=0n(nk)xn-kBk,

Doc 71
0.3646
-5.0000
11.0000
0.3646
testing/NTCIR/xhtml5/4/math0603405/math0603405_1_9.xhtml
(x+1)n=k=0n(nk)xk,

Doc 72
0.3646
-9.0000
9.0000
0.3646
testing/NTCIR/xhtml5/7/1101.3810/1101.3810_1_52.xhtml
(A+B)n=k=0n(nk)qBkAn-k

Doc 73
0.3646
-10.0000
9.0000
0.3646
testing/NTCIR/xhtml5/9/1401.0237/1401.0237_1_34.xhtml
=k=0n(nk)βkzn-k=(z+β)n.

Doc 74
0.3646
-11.0000
11.0000
0.3646
testing/NTCIR/xhtml5/5/0707.1660/0707.1660_1_51.xhtml
pn,0(x,y)=k=0n(nk)xkyn-k

Doc 75
0.3646
-20.0000
11.0000
0.3646
testing/NTCIR/xhtml5/8/1202.2264/1202.2264_1_35.xhtml
(x+y)qn=k=0n(nk)qk(n-k+12)xn-kyk,

Doc 76
0.3596
-8.0000
12.0000
0.3596
testing/NTCIR/xhtml5/10/q-alg9608008/q-alg9608008_1_17.xhtml
(x+y)n=k=0ncn,kyn-kxk

Doc 77
0.3596
-13.0000
12.0000
0.3596
testing/NTCIR/xhtml5/6/0907.5420/0907.5420_1_135.xhtml
Mn(x)=k=0n(nk)(n-1)n-k¯2kxk¯

Doc 78
0.3596
-20.0000
11.0000
0.3596
testing/NTCIR/xhtml5/4/math0702158/math0702158_1_87.xhtml
((1-p)δ0+pδ1)n=k=0n(nk)(1-p)n-kpkδk

Doc 79
0.3596
-29.0000
11.0000
0.3596
testing/NTCIR/xhtml5/6/0909.1927/0909.1927_1_18.xhtml
Pμ,n(z)=k=0nγk(nk)zn-k=j,k(nk)(kj)μk-2jzn-k.

Doc 80
0.3386
-10.0000
10.0000
0.3386
testing/NTCIR/xhtml5/5/0712.0138/0712.0138_1_8.xhtml
Bn(x)=k=0n(nk)Bk(xa)n-k.

Doc 81
0.3328
-10.0000
9.0000
0.3328
testing/NTCIR/xhtml5/3/math0402078/math0402078_1_13.xhtml
(x+ψa)n=k0(nk)ψakxn-k

Doc 82
0.3328
-10.0000
9.0000
0.3328
testing/NTCIR/xhtml5/3/math0402078/math0402078_1_12.xhtml
(x+ψa)n=k0(nk)ψakxn-k

Doc 83
0.3328
-12.0000
10.0000
0.3328
testing/NTCIR/xhtml5/5/0810.3554/0810.3554_1_122.xhtml
(x+y)n=k=0n(nk)(x)k(y)n-k.

Doc 84
0.3328
-15.0000
7.0000
0.3328
testing/NTCIR/xhtml5/1/1111.4880/1111.4880_1_64.xhtml
j=0n-k(nj)xj-kBkn-j(x)=(nk).

Doc 85
0.3328
-17.0000
10.0000
0.3328
testing/NTCIR/xhtml5/7/1101.0900/1101.0900_1_115.xhtml
k=mn(nk)xkyn-k(nm)xm(x+y)n-m.

Doc 86
0.3273
-10.0000
10.0000
0.3273
testing/NTCIR/xhtml5/3/math0406323/math0406323_1_3.xhtml
𝐁n=k=0n(nk)(2y)n-kxk𝐀k.

Doc 87
0.3273
-13.0000
10.0000
0.3273
testing/NTCIR/xhtml5/9/1311.0596/1311.0596_1_34.xhtml
An(μ;z)=k=0n(nk)mk(-z)n-k.

Doc 88
0.3273
-15.0000
10.0000
0.3273
testing/NTCIR/xhtml5/6/0909.3205/0909.3205_1_38.xhtml
Cn(λ;x)=k=0n(nk)(-1)n-kλ-k(x)k

Doc 89
0.3273
-20.0000
7.0000
0.3273
testing/NTCIR/xhtml5/7/1006.2610/1006.2610_1_31.xhtml
=k=2m(mk)xk(x0+1)m-k-k=2mxkx0m-k

Doc 90
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 91
0.3148
-6.0000
10.0000
0.3148
testing/NTCIR/xhtml5/6/0910.1263/0910.1263_1_46.xhtml
(1+x)n=k=0n(nk)xk,

Doc 92
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
=k=2n(n-2k-2)qxk(1-x)qn-k

Doc 93
0.3148
-18.0000
10.0000
0.3148
testing/NTCIR/xhtml5/2/math0301123/math0301123_1_17.xhtml
=k=0n(nk)x(a)n-k(b)kBbkan-k,

Doc 94
0.2948
-17.0000
10.0000
0.2948
testing/NTCIR/xhtml5/5/0710.5556/0710.5556_1_15.xhtml
(1+x)n=k=0n(nk)xk=k=0nCknxk,

Doc 95
0.2827
-11.0000
9.0000
0.2827
testing/NTCIR/xhtml5/10/math9811174/math9811174_1_344.xhtml
^n(x)=k=0n(nk)B^n-kxk

Doc 96
0.2819
-22.0000
9.0000
0.2819
testing/NTCIR/xhtml5/1/1111.4880/1111.4880_1_66.xhtml
j=0n-k(-1)j(nj)Bkn-j(x)=(-1)n-k(nk)xn.

Doc 97
0.2726
-34.0000
10.0000
0.2726
testing/NTCIR/xhtml5/5/0707.1660/0707.1660_1_68.xhtml
k=12n+1(2nk-1)μxky2n-k+1+k=02n(2nk)μxky2n-k+1

Doc 98
0.2622
-14.0000
9.0000
0.2622
testing/NTCIR/xhtml5/9/1301.3669/1301.3669_1_1.xhtml
=k=0n(nk)(kn)k(n-kn)n-k,

Doc 99
0.2373
-12.0000
6.0000
0.2373
testing/NTCIR/xhtml5/10/math9412226/math9412226_1_20.xhtml
s(n)=k(nk)2=k=0n(nk)2