Returned 96 matches (100 formulae, 97 docs)
    Lookup 14835.200 ms, Re-ranking 27194.714 ms
    Found 49419779 tuple postings, 13120194 formulae, 4618385 documents
[ formulas ] [ documents ] [ documents-by-formula ]

0.2008
-32.0000
10.0000
A(u,v)=-13log(f(u)+g(v))+12log(f(u)g(v))+13(f(u)+g(v))2+a

0.1949
-41.0000
9.0000
λjFn(λ,z)=fλnλj(hλ(z))+(fλn)(hλ(z))λjhλ(z)-λjhλ(z).

0.1826
-32.0000
9.0000
p1(x,ξ)=-i2gjkxj(x)(ξk-Ak(x))-i2gjk(x)Akxj(x).

0.1725
-43.0000
7.0000
Ωn(x,ϵ)=δJnδu(x)Pnu(x)-xPnux(x)+2x2Pnuxx(x)-

0.1668
-14.0000
7.0000
ϕ(t,σ)=f0(t)+12(f1(t)+u(t,σ))σ2

0.1634
-28.0000
6.0000
G2(t0,y,B1+ut0(1)(y))-t1(B1+ut0(1)(y))-yt2

0.1606
-22.0000
7.0000
ft(φs,t(z))φs,tt(z)+ftt(φs,t(z))

0.1582
-37.0000
8.0000
Gv(ψ)(z1,z2)=-1δ8(z1-z2)+14(ψ(z1)D¯2δ8(z1-z2))+O(Ψ¯)

0.1527
-31.0000
7.0000
V(z|f,g)=duuA(f(u)uAg(u)-σ(f,g)g(u)uAf(u)).

0.1527
-33.0000
5.0000
G(s,t)=f(𝐱)+fzi(𝐱)s+fzj(𝐱)t+2fzizj(𝐱)st.

0.1466
-19.0000
8.0000
x(f(x)+g(y)+h(z))2=2(F1(x)-H2(z)),

0.1440
-36.0000
4.0000
X2=f3(z2)z3,X1=g1(z1)z1+z2+g3(z1,z2)z3,

0.1440
-38.0000
6.0000
T=N4πdσdxv(σ,σ)𝒢s(x){u(σ)σ(-2ix2)+u(σ)σ(-i6)+

0.1440
-49.0000
6.0000
uε(x)=g(x)-1πΩaln|x-z|uε(z)νdσ(z)+ΩaRΩ(x,z)uε(z)νdσ(z)+Cε.

0.1440
-52.0000
6.0000
(f(z1)-f(z2))μod(z1,z2)=(f(z1)+c)g(z1)+(f(z2)+c)g(z2)-12Q(f(z1))-12Q(f(z2)),

0.1386
-33.0000
7.0000
μ2t2u(xp,t)=Δ2m(h)u(xp,t),Δ2m(h)up=-Vup,

0.1325
-14.0000
5.0000
ft(z)t=-ft(z)zG(z,t).

0.1325
-21.0000
5.0000
gt(x)=ut(x)vt(x)x-ut(x)xvt(x),

0.1297
-24.0000
6.0000
V𝕊2(λ1,λ2)=12(g11(Wλ1)2+g22(Wλ2)2)

0.1297
-28.0000
6.0000
12t(u0(x+t)+u0(x-t))+12(u1(x+t)-u1(x-t))

0.1244
-28.0000
6.0000
r(z0,z1)=-12ln(f′′(z1)+2z0)+g(z1),  gC2(,).

0.1244
-38.0000
5.0000
=-j=1𝑛Ωaj(x,rsx)xj{g¯(x)[us(x)-hs(x)+gs(x)]}dx,

0.1244
-43.0000
7.0000
aH(a,z)=-12f(z)¯f(a)1-f(z)¯f(a)-12alogf(z)-f(a)z-a.

0.1239
-25.0000
7.0000
-x(A(x,y)ux)-y(A(x,y)uy)+B(x,y)ux=F,

0.1239
-27.0000
6.0000
=-Hg=-g[12(f2+g2)-g(p+g2)+f(s-f2)]

0.1198
-26.0000
7.0000
V(q,t)=v+iu=1μ(t)Sq-i2μ(t)q(lnρ),

0.1198
-39.0000
4.0000
(f(z1)-f(z2))μev(z1,z2)=g(z1)+g(z2)-12Q(f(z1))-12Q(f(z2)),

0.1185
-29.0000
3.0000
+μ2z2(k0(𝐫+𝐦,z2)[z1-1(z2)2δ(z2z1)])

0.1185
-33.0000
5.0000
ft(z)t=-ft(z)zz1+k(t)z1-k(t)z, t[0,-lnA).

0.1153
-18.0000
7.0000
g(x)xgx(x,w)-gx(x,w)xg(x),

0.1153
-31.0000
4.0000
uε(x)=g(x)+ΩaNΩ(x,z)uε(z)νzdσ(z)+Cε, xΩ,

0.1153
-32.0000
6.0000
-x(aux)-y(auy)-z(auz)+dux+euy+fuz=0,

0.1153
-45.0000
7.0000
(nμod(z1,z2)+g(z2)-g(z1)+12b2(f(z1)-f(z2)))(ϕ(z1)ψ(z2)-ψ(z1)ϕ(z2))

0.1153
-65.0000
8.0000
D^t=-D^z1V1-D^z2V2-(z1v1+z2v2+v3)+k(g1(D^f1+g1-D^V1)+g2(D^f2+g2-D^V2))

0.1121
-51.0000
7.0000
D^t=-D^z1(f1+ΓHSg1)-D^z2(f2+ΓHSg2)-(z1v1+z2v2+v3)+k(1-D^ΓHS).

0.1102
-18.0000
4.0000
g(u0(0))=u0+x(0)-u0-x(0),

0.1102
-25.0000
5.0000
ΔK=1fK2(χ)χ(fK2(χ)χ)+1fK2(χ)Δ,

0.1102
-29.0000
4.0000
ui(x)=0    gii(x)uixj(x)+gjj(x)ujxi(x)=0,

0.1102
-29.0000
3.0000
N2G2c(z1,z2)=2z1z2Log[u(z1)-u(z2)z1-z2]
N2G2c(z1,z2)=2z1z2Log(u(z1)-u(z2)z1-z2)

0.1102
-30.0000
5.0000
=-Hf=-f[12(f2+g2)-g(p+g2)+f(s-f2)]

0.1102
-31.0000
5.0000
=Hp=p[12(f2+g2)-g(p+g2)+f(s-f2)]=-g

0.1102
-49.0000
4.0000
(φ,u¯δδδ)=-φt-(A(x)(φ+u¯δδδ))x+(B(x)(φx+u¯xδδδ)x-u¯δδδ˙

0.1088
-40.0000
5.0000
(fg)x(y)=fx(y)gx(y)+ϵi,j=1dαxij(y)fx(y)yigx(y)yj+

0.1051
-21.0000
6.0000
F(z1,z2)=12(F(z1)+F(z2)-(z12-z22)2)

0.1051
-24.0000
4.0000
V(ϕ,χ)=12(Wϕ)2+12(Wχ)2-13W2.

0.1051
-26.0000
4.0000
V(ϕ,χ)=18(Wϕ)2+18(Wχ)2-13G(5)W2

0.1045
-16.0000
5.0000
f(z0, z1)=ez0(z1g1(z1)+g1(0))

0.1045
-20.0000
4.0000
m0=ωu(z1,z¯1)=u11¯(0)+μ.

0.1045
-22.0000
5.0000
gt(x)=-ft(x)x,ht(x)=2ft(x)x2

0.1045
-22.0000
4.0000
fxy(q)=lix(q)ly(q)+liylx(q).

0.1045
-24.0000
5.0000
(1,1f2)(z1,z2)=f1(z1)-f1(z2)z1-z2.

0.1045
-25.0000
4.0000
m0=χu(z1,z¯1)=u11¯(0)+χ11¯(0).

0.1045
-30.0000
6.0000
-glk(xi(fhjl)+xj(fhil)-xl(fhij)).

0.1045
-30.0000
5.0000
q=-θ¯y(wx+uz)+(v+fx,θ)(x,z).

0.1045
-30.0000
3.0000
cij(x)=-12[fiuj(x,U(x))+fjui(x,U(x))]

0.1045
-34.0000
6.0000
Pn(λ;z)λ=kn(λ)λ(z-z0)n+Qn-1(λ,z0;z)λ.

0.1045
-42.0000
4.0000
Nf(z1,z2)=ln(f(0)z1-z2(1(f(0)-f(z2-1))-1(f(0)-f(z1-1)))),

0.1045
-48.0000
3.0000
j=1𝑛Ω[aj(x,u0x)-fj(x)]g(x)xjdx-Ωc(x,f(x)-u0(x))g(x)dx=0
j=1𝑛Ω[aj(x,u0x)-fj(x)]g(x)xjdx-Ωc(x,f(x)-u0(x))g(x)dx0.

0.0960
-27.0000
6.0000
dθf(θ)θg(θ)=-(-1)ε(f)dθf(θ)g(θ)θ,

0.0960
-27.0000
4.0000
+g(ux)-g(vx)ux-vxf(u)+f(v)2(ux-vx)

0.0960
-30.0000
5.0000
(uut)t-ut2-xi(uaijuxj)+uxiaij(x)uxj+u6

0.0904
-22.0000
5.0000
+12(f(r)g(r)+f(r)g(r))S1r=0,
+12(f(r)g(r)+f(r)g(r))S0r=0,

0.0904
-24.0000
5.0000
=ρa¨(t)+(xig(z))f(z)+g(z)xif(z)

0.0904
-28.0000
3.0000
F(λ,t)=L(t,u(t)+λv(t),ut(t)+λvt(t))

0.0904
-31.0000
4.0000
+μ2(z2)2(k0(𝐫+𝐦,z2)[z1-1z2δ(z2z1)])

0.0904
-32.0000
3.0000
X1=g1(z1)z1+g2(z1)z2+g3(z1,z2)z3,

0.0904
-36.0000
5.0000
[f,g](z)=(-1)εAϵ(f)zA(f(z)ωABzBg(z))-2fΔg(z),

0.0904
-38.0000
3.0000
bije,s(x)=-12(fiuj(|x|,U(x))+fiuj(|x|,Uσe(x)))

0.0904
-41.0000
5.0000
+(xig(z))Cij=2mf(z)γj+g(z)xi(j=2mf(z)γj)+ρFi(t)

0.0904
-41.0000
4.0000
ρ(1|2)(z1,z2)=(z2z2+12)ρ(1|1)(z1)-ρ(1|1)(z2)z1-z2

0.0901
-28.0000
7.0000
ut-utxx=-32x(u2)-12x(ux2)+12x3(u2)

0.0901
-47.0000
3.0000
𝒜4(0,0)=0,  𝒜4Ψx=c2(ρ¯+)-u¯+22u¯+(x0),  𝒜4Ψ=-au¯-2a(x0).

0.0862
-29.0000
5.0000
ut+kAk(x)uxk+B(x)u=0,  u(0,x)=u0(x),

0.0862
-30.0000
4.0000
WS[f,g]=S(f(t)gn(t)-fn(t)g(t))dσ(t),

0.0862
-56.0000
3.0000
uxt=12{ux(x),H-2}2=-12(ux)2-uuxx-12ρ2ρt=12{ρ(x),H-2}2=-(uρ)x

0.0817
-15.0000
5.0000
gxx(uh)+gxx(uh)(u-uh)+,

0.0817
-16.0000
3.0000
xuN(x,t)=uj+1(t)-uj(t)h.

0.0817
-17.0000
5.0000
ϕzk(z)+ϕ(z)Φ(z)Φzk(z)

0.0817
-21.0000
6.0000
=αζ(0,p)Vp(y)-Vx(y)+p.

0.0817
-23.0000
5.0000
cos(v(z))vz1(z)+sin(v(z))vz2(z)=0,

0.0817
-30.0000
4.0000
t(uut)-xi(uaijuxj)+|gu|g2+u6-ut2.

0.0817
-33.0000
3.0000
ςm(gs(z),gs(z)¯)=ςm(z,z¯)gs(z)z+gs(z)qm.

0.0817
-37.0000
2.0000
(z1(f,gx)wz2az3)+Lg¯g((z1(f¯X)z2az3)-(z1(f¯X)z2az3))

0.0777
-26.0000
4.0000
ΔReu1(z)=(ddJcz1)y(z)(ux(z),Jux(z)).

0.0777
-34.0000
3.0000
ddτ(Lq˙j)-Lqj=fjie(τ)+fjce(τ)+fjde(τ,𝒒e)

0.0763
-13.0000
4.0000
(-ρz2(a),ρz1(a))

0.0763
-16.0000
3.0000
u0η(x)=u0(x)gη(x,0)

0.0763
-17.0000
3.0000
uz1(z)+u(z)uz2(z)=0,

0.0763
-24.0000
3.0000
-(flCasV)β=-14πr2(flCas(r)r)β,

0.0763
-37.0000
4.0000
β(2uux2-u2uxx)+βγux(-1u)+γ22(-2u)2-u42]x.

0.0763
-37.0000
3.0000
DH2f(z)=(N+𝟏)-1(fz1(z),fzd(z))=(N+𝟏)-1f(z)

0.0763
-44.0000
4.0000
z¯2(u1z1+u2z2)=z1(u1z¯2-u2z¯1)+f2.

0.0713
-30.0000
5.0000
-(D(x,y)ux)x-(D(x,y)uy)y+aux+buy=1,

0.0672
-16.0000
4.0000
R(1)=R+uyux-uxuy,

0.0672
-25.0000
3.0000
2v1x2=u¨1(gx)2+u˙1(2gx2)
2v1y2=u¨1(gy)2+u˙1(2gy2)

0.0622
-28.0000
3.0000
-u(uxxA2)uxutx+-(uxA5)utx=0,