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 ]

0.7459
-17.0000
14.0000
Bn(k)(x)=l=0n(nl)Bn-l(k)xl=l=0n(nl)Bl(k)xn-l.

0.7293
-12.0000
13.0000
(v+w)n=0n[nm]q2wmvn-m=0n[nm]q-2vmwn-m

0.7293
-16.0000
21.0000
(x+y)n=k=0n[nk]qykxn-k=k=0n[nk]q-1xkyn-k.

0.6507
-37.0000
15.0000
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.

0.6338
-29.0000
18.0000
fn(x,y2)=k0(n-k-1k)xn-2kyk+k0(n-k-2k)xn-2k-2yk+2.

0.6189
-21.0000
12.0000
En(r)(x)=l=0n(nl)El(r)xn-l=l=0n(nl)En-l(r)xl.

0.6189
-27.0000
12.0000
sn(r,k)(x)=l=0n(nl)sl(r,k)xn-l=l=0n(nl)sn-l(r,k)xl.

0.5702
-12.0000
14.0000
=i=0n(ni)μixn-i=i=0n(ni)xiμn-i.

0.5554
-3.0000
17.0000
(x+y)n=k=0n(nk)xn-kyk,

0.5554
-4.0000
16.0000
(x+y)n=k=0n[nk]Qxn-kyk.

0.5554
-4.0000
13.0000
(A+B)n=k=0n(nk)qAn-kBk.

0.5554
-8.0000
16.0000
(x+y)<qn=k=0n{nk}Q,qxn-kyk,

0.5554
-10.0000
13.0000
PMnP-1=(D+N)n=k=0n(nk)Dn-kNk.

0.5455
-23.0000
16.0000
p(x):=k=0n(nk)1(k+d)!xk=k=0n(nk)1(n-k+d)!xn-k

0.5236
-3.0000
16.0000
(x+y)n=k0(nk)xn-kyk,

0.5236
-6.0000
16.0000
(x+y)n=k0(nk)𝒯1,1xn-kyk

0.5236
-7.0000
10.0000
(x+y)m=n0(mn)xm-nyn,m,

0.5065
-28.0000
16.0000
zn=k=0n-1(n-1k)xkyn-k+k=0n-1(n-1k)xk+1yn-k-1.

0.4882
-10.0000
10.0000
(x+y)p=j=0p(pj)xjyp-j=xp+yp,

0.4882
-17.0000
12.0000
an=s=0m(ns)Asqn-s+km+1(nk)Bkqn-k.

0.4746
-13.0000
10.0000
k<ζn(nk)pkqn-kkζn(nk)pζnqn.

0.4561
-10.0000
15.0000
(x+y)n=k=0n(nk)yn-kxk, n+,
(x+y)n=k=0n(nk)yn-kxk, n𝐙+.

0.4561
-11.0000
14.0000
(x+y)n=k=0n[nk]qyn-kxk, n𝐙+.

0.4561
-13.0000
14.0000
(x+y)n=k=0n[nk]qyn-kxk  (xy=qyx).

0.4427
-5.0000
14.0000
(x+y)n=k=0nCnkxn-kyk

0.4427
-17.0000
11.0000
f(z)k=0n-1(nk)f(k)(z)=k=0n(nk)f(k)(z)

0.4427
-21.0000
12.0000
nxn-1=k=1n(nk)Bn-k(x)=k=0n-1(nk)Bk(x),

0.4282
-5.0000
12.0000
(x+y)n=0n(ni)qxiyn-i

0.4282
-5.0000
12.0000
En(x)=k=0n(nk)xn-kEk

0.4282
-6.0000
13.0000
(x+y)n=k=0n(nk)xkyn-k

0.4282
-6.0000
12.0000
(x+y)n=j=0n(nj)xjyn-j

0.4282
-6.0000
9.0000
(a+b)n=k=0n(nk)akbn-k

0.4282
-6.0000
9.0000
(x+y)k=j=0k(kj)xjyk-j

0.4282
-7.0000
13.0000
(x+y)n=k=0n(nk)qxkyn-k

0.4282
-7.0000
13.0000
(x+y)n=k=0n(nk)xkyn-k.

0.4282
-7.0000
12.0000
(x+y)n=j=0n(nj)xjyn-j,

0.4282
-7.0000
9.0000
(a+c)n=k=0n(nk)akcn-k,

0.4282
-7.0000
9.0000
(u+v)n=k=0n(nk)xukvn-k

0.4282
-7.0000
8.0000
(x+y)k=r=0k[kr]xryk-r.

0.4282
-8.0000
12.0000
(x+y)n=k=0n[nk]qxkyn-k,

0.4282
-8.0000
11.0000
             (x+y)n=r=0n[nr]xryn-r,             (A1)

0.4282
-8.0000
10.0000
(x+z)n=i=0n(ni)qxizn-i.

0.4282
-10.0000
13.0000
h(x)=(x+y)n=k=0n(nk)xkyn-k

0.4282
-10.0000
10.0000
(x+y)m=k=0m(mk)v-1xkym-k..3

0.4282
-11.0000
13.0000
(x+y)n=k=0n(nk)xkyn-k    (n)

0.4240
-12.0000
11.0000
(-yx+y)n=k=0n[nk]qyn-k(-yx)k.

0.4240
-12.0000
11.0000
iz,w(z-w)n=k=0(nk)zn-k(-w)k,

0.4240
-18.0000
14.0000
k=0n(nk)xkyn-kαk+k=0n(nk)xkyn-kβk

0.4108
-6.0000
10.0000
Bn(x)=k=0n(nk)Bkxn-k.

0.4108
-7.0000
11.0000
fn(x)=k=0n(nk)xpkman-k

0.4108
-10.0000
9.0000
Bn(α)(x)=k=0n(nk)Bk(α)xn-k,

0.4108
-11.0000
9.0000
G~n,q(x)=k=0n(nk)G~k,qxn-k

0.4039
-14.0000
14.0000
(xqy)n=k=0n(nk)q(-1)n-kxkyn-k.

0.3964
-5.0000
12.0000
(x+y)n=k(nk)xkyn-k.

0.3964
-8.0000
12.0000
(x+y)n=k=0(nk)xkyn-k.

0.3964
-9.0000
11.0000
Δ(xn)=k=0n[nk]qxn-kxk.

0.3964
-10.0000
12.0000
(xqy)n=k=0n(nk)qxkyn-k.

0.3822
-30.0000
12.0000
𝔼(Yk)=t=0n(tk)P(Y=t)=t=kn(tk)pt(1-p)n-t(nt)=(nk)pk

0.3788
-6.0000
9.0000
Bn(x)=k=0n(nk)Bkxn-k

0.3788
-7.0000
9.0000
En(x)=n=0n(nk)Ekxn-k,
Bn(x)=k=0n(nk)Bkxn-k,

0.3788
-13.0000
9.0000
Bn(x)=k=0n(nk)Bkxn-k(x+ι)n.

0.3788
-18.0000
12.0000
xh(x)=nx(x+y)n-1=k=0n(nk)kxkyn-k

0.3714
-15.0000
13.0000
Pn(x)=k=0n(nk)2(x-1)n-k(x+1)k/2n

0.3714
-22.0000
11.0000
km(m+rk)xkym-k=km(-rk)(-x)k(x+y)m-k,

0.3646
-4.0000
11.0000
(x+1)n=k=0n(nk)xk

0.3646
-4.0000
10.0000
=k=0n(nk)xn-kBk,

0.3646
-5.0000
11.0000
(x+1)n=k=0n(nk)xk,

0.3646
-9.0000
9.0000
(A+B)n=k=0n(nk)qBkAn-k

0.3646
-10.0000
9.0000
=k=0n(nk)βkzn-k=(z+β)n.

0.3646
-11.0000
11.0000
pn,0(x,y)=k=0n(nk)xkyn-k

0.3646
-20.0000
11.0000
(x+y)qn=k=0n(nk)qk(n-k+12)xn-kyk,

0.3596
-8.0000
12.0000
(x+y)n=k=0ncn,kyn-kxk

0.3596
-13.0000
12.0000
Mn(x)=k=0n(nk)(n-1)n-k¯2kxk¯

0.3596
-20.0000
11.0000
((1-p)δ0+pδ1)n=k=0n(nk)(1-p)n-kpkδk

0.3596
-29.0000
11.0000
Pμ,n(z)=k=0nγk(nk)zn-k=j,k(nk)(kj)μk-2jzn-k.

0.3386
-10.0000
10.0000
Bn(x)=k=0n(nk)Bk(xa)n-k.

0.3328
-5.0000
10.0000
k=0n(nk)xkyn-kLk

0.3328
-10.0000
10.0000
k=0n(nk)xkyn-kLk=L2n.
k=0n(nk)xkyn-kFk=F2n,

0.3328
-10.0000
9.0000
(x+ψa)n=k0(nk)ψakxn-k

0.3328
-12.0000
10.0000
(x+y)n=k=0n(nk)(x)k(y)n-k.

0.3328
-15.0000
7.0000
j=0n-k(nj)xj-kBkn-j(x)=(nk).

0.3328
-17.0000
10.0000
k=mn(nk)xkyn-k(nm)xm(x+y)n-m.

0.3273
-10.0000
10.0000
𝐁n=k=0n(nk)(2y)n-kxk𝐀k.

0.3273
-13.0000
10.0000
An(μ;z)=k=0n(nk)mk(-z)n-k.

0.3273
-15.0000
10.0000
Cn(λ;x)=k=0n(nk)(-1)n-kλ-k(x)k

0.3273
-20.0000
7.0000
=k=2m(mk)xk(x0+1)m-k-k=2mxkx0m-k

0.3148
-5.0000
10.0000
(1+x)n=k=0n(nk)xk

0.3148
-6.0000
10.0000
(1+x)n=k=0n(nk)xk,

0.3148
-13.0000
10.0000
=k=1n(n-1k-1)qxk(1-x)qn-k
=k=2n(n-2k-2)qxk(1-x)qn-k

0.3148
-18.0000
10.0000
=k=0n(nk)x(a)n-k(b)kBbkan-k,

0.2948
-17.0000
10.0000
(1+x)n=k=0n(nk)xk=k=0nCknxk,

0.2827
-11.0000
9.0000
^n(x)=k=0n(nk)B^n-kxk

0.2819
-22.0000
9.0000
j=0n-k(-1)j(nj)Bkn-j(x)=(-1)n-k(nk)xn.

0.2726
-34.0000
10.0000
k=12n+1(2nk-1)μxky2n-k+1+k=02n(2nk)μxky2n-k+1

0.2622
-14.0000
9.0000
=k=0n(nk)(kn)k(n-kn)n-k,

0.2373
-12.0000
6.0000
s(n)=k(nk)2=k=0n(nk)2