Returned 79 matches (100 formulae, 107 docs)
    Lookup 737.440 ms, Re-ranking 211.487 ms
    Found 17892885 tuple postings, 11102199 formulae, 4570862 documents
[ formulas ] [ documents ] [ documents-by-formula ]

0.9069
-2.0000
15.0000
v(A):={1 if 0A,0 if 0A.

0.8108
-7.0000
13.0000
I(A,ω)=def{1,if ωA0,if ωA.

0.7494
-3.0000
13.0000
δx(A)={1if xA0if xAxAx\notin AsubscriptδxA1if x∈AxAx\in A0if x∉AxAx\notin A\delta_{x}(A)=\begin{cases}1&\mbox{if $x\in A$}\\ 0&\mbox{if $x\notin A$}\end{cases}

0.7494
-3.0000
13.0000
ω*(A)={1if ωA0if ωA

0.7494
-4.0000
11.0000
δC(x)={1ifxC0ifxC.

0.7494
-5.0000
11.0000
IE(j)={1 if jE,0 if jE.

0.7494
-7.0000
13.0000
IA(t)={1,if tA,0,if tAtAt\not\in A.subscriptIAt1if t∈AtAt\in A0if t∉AtAt\not\in AI_{A}(t)=\begin{cases}1,&\text{if $t\in A$},\\ 0,&\text{if $t\not\in A$}.\end{cases}

0.7494
-10.0000
13.0000
Aδc(dw)={1,if   cA,0,if   cA.

0.7241
-11.0000
10.0000
μ(s)={1if 0s2/30if 3/4s1

0.7107
-4.0000
13.0000
v(A):={1 if 𝐯A,0 if 𝐯A.

0.6878
-3.0000
10.0000
f(n)={1 if n𝒩0 if n𝒩

0.6878
-5.0000
12.0000
χA(n)={1if nA0if nAnAn\notin A.subscriptχAn1if n∈AnAn\in A0if n∉AnAn\notin A.\chi_{A}(n)=\begin{cases}1&\text{if $n\in A$}\\ 0&\text{if $n\notin A$.}\end{cases}

0.6878
-5.0000
10.0000
δx(A)={0if xA1if xAxAx\in A.subscriptδxA0if x∉AxAx\notin A1if x∈AxAx\in A\delta_{x}(A)=\begin{cases}0&\mbox{if $x\notin A$}\\ 1&\mbox{if $x\in A$}.\end{cases}

0.6878
-5.0000
10.0000
𝐎A(x)={0 if xA;1 if xA

0.6878
-5.0000
9.0000
δi(r)={1if   ir0if   i<r.

0.6878
-6.0000
12.0000
χA(x)={1 if xA,0 if xA,

0.6878
-6.0000
11.0000
[P](x)={1 if xP,0 if xP.

0.6878
-8.0000
12.0000
rA,1(x)={1if xA,0if xAxAx\not\in A,subscriptrA1x1if x∈AxAx\in A,0if x∉AxAx\not\in A,r_{A,1}(x)=\left\{\begin{array}[]{ll}1&\text{if $x\in A$,}\\ 0&\text{if $x\not\in A$,}\end{array}\right.

0.6878
-9.0000
9.0000
ψ(x)={1if 0<xγ;0if γ<x1γx1\gamma<x\leqslant 1.ψx1if 0<x⩽γ0xγ0<x\leqslant\gamma0if γ<x⩽1γx1\gamma<x\leqslant 1\psi(x)=\left\{\begin{array}[]{ll}1&\quad\hbox{if $0<x\leqslant\gamma$};\\ 0&\quad\mbox{if $\gamma<x\leqslant 1$}.\end{array}\right.

0.6878
-9.0000
9.0000
Ea(t)={1ifat10if 0t<a.

0.6630
-3.0000
8.0000
b(x)={1if 0xα0otherwise.bx1if 0≤x≤α0xα0\leq x\leq\alpha0otherwise.b(x)=\left\{\begin{array}[]{ll}1&\mbox{if $0\leq x\leq\alpha$}\\ 0&\mbox{otherwise.}\end{array}\right.

0.6630
-4.0000
8.0000
f(x)={1if 0x1,0otherwise,fx1if 0≤x≤10x10\leq x\leq 1,0otherwise,\displaystyle f(x)=\begin{cases}1&\text{if\quad$0\leq x\leq 1$,}\\ 0&\text{otherwise,}\end{cases}
ϕ(y)={1if 0y<1,0otherwise.

0.6630
-6.0000
9.0000
ξ(t)={1 if 0t10 if t2.

0.6630
-7.0000
9.0000
E(γ)={1ifγ1,0if0<γ<1.

0.6630
-8.0000
9.0000
ψ(r)={1 if  0r1,0 if r>1r1\;r>1.ψr1 if  0≤r≤1 0r1\;0\leq r\leq 10 if r>1r1\;r>1.\psi(r)=\left\{\begin{array}[]{ll}1&\mbox{ if $\;0\leq r\leq 1$},\\ 0&\mbox{ if $\;r>1$.}\end{array}\right.

0.6482
-8.0000
12.0000
aδω1(A)={aif ω1A0if ω1A

0.6261
-5.0000
12.0000
[A](x)={1 if xA0 if xA

0.6261
-5.0000
10.0000
ai={1if iS,0if iS.

0.6261
-5.0000
10.0000
H(x)={1 if xH0 if xHxHx\notin H.Hx1 if x∈HxHx\in H0 if x∉HxHx\notin H.H(x)=\begin{cases}1&\text{ if $x\in H$}\\ 0&\text{ if $x\notin H$.}\end{cases}

0.6261
-6.0000
9.0000
δx(y)={1 if y=x0 if yx.

0.6261
-6.0000
9.0000
w(s)={1if sk;0if s<k.

0.6261
-7.0000
9.0000
as(x)={1if xs,0if xs.

0.6261
-11.0000
10.0000
rA1(n)={1if n2A10if n2A1.

0.6018
-5.0000
10.0000
ϵx(A)={1if xA0otherwise.subscriptϵxA1if x∈AxAx\in A, 0otherwise\displaystyle\epsilon_{x}(A)=\left\{\begin{array}[]{cc}1&\hbox{if $x\in A$, }% \\ 0&\rm{otherwise}.\end{array}\right.

0.6018
-5.0000
7.0000
fa(n)={1 if a is a square modulo n;0 otherwise.

0.6018
-6.0000
9.0000
Θ(t)={1if t>00if t<0t0t<0.normal-Θt1if t>0t0t>00if t<0t0t<0\Theta(t)=\left\{\begin{array}[]{ll}1&\mbox{if $t>0$}\\ 0&\mbox{if $t<0$}\,.\end{array}\right.
θ(α)={1if α00if α<0α0\alpha<0.θα1if α≥0α0\alpha\geq 00if α<0α0\alpha<0\theta(\alpha)=\left\{\begin{array}[]{ll}1&\textrm{if $\alpha\geq 0$}\\ 0&\textrm{if $\alpha<0$}.\end{array}\right.

0.6018
-6.0000
9.0000
hξ(k)={1if kAξ,0𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒.subscripthξk1if k∈AξksubscriptAξk\in A_{\xi},0otherwiseh_{\xi}(k)=\left\{\begin{array}[]{lc}1&\mbox{if $k\in A_{\xi}$,}\\ 0&\mbox{otherwise}.\end{array}\right.

0.6018
-6.0000
7.0000
θ(n)={1if N>n0,0otherwise.θn1if N>n≥0Nn0N>n\geq 00otherwise\theta(n)=\begin{cases}1&\quad\text{if $N>n\geq 0$},\\ 0&\quad\text{otherwise}.\end{cases}

0.6018
-7.0000
9.0000
χ(𝐦)={1if 𝐦=𝟎,0if 𝐦𝟎𝐦0\mathbf{m}\neq\mathbf{0}.χ𝐦1if 𝐦=𝟎𝐦0\mathbf{m}=\mathbf{0},0if 𝐦≠𝟎𝐦0\mathbf{m}\neq\mathbf{0}\chi(\mathbf{m})=\begin{cases}1&\text{if $\mathbf{m}=\mathbf{0}$,}\\ 0&\text{if $\mathbf{m}\neq\mathbf{0}$}.\end{cases}

0.6018
-8.0000
9.0000
φ(x)={1if |x|10if |x|2x2|x|\geq 2.φx1if |x|≤1x1|x|\leq 10if |x|≥2x2|x|\geq 2\varphi(x)=\begin{cases}1&\text{if $|x|\leq 1$}\\ 0&\text{if $|x|\geq 2$}.\end{cases}

0.6018
-11.0000
10.0000
dnμ(d)={1if n=1;0if n>1n1n>1.subscriptfragmentsdnormal-∣nμd1if n=1n1n=10if n>1n1n>1\sum_{d\mid n}\mu\left(d\right)=\begin{cases}1&\text{if $n=1$};\\ 0&\text{if $n>1$}.\end{cases}

0.5751
-2.0000
7.0000
θ(X)={1if X is positive definite0else.θX1if XXX is positive definite0else.\theta(X)=\left\{\begin{array}[]{cl}1&\mbox{if $X$ is positive definite}\\ 0&\mbox{else.}\end{array}\right.

0.5751
-3.0000
7.0000
δ(x)={1if x = 0 mod-ppp0otherwise.δx1if xxx = 0 mod-ppp0otherwise.\displaystyle\delta(x)=\left\{\begin{array}[]{ll}1&\mbox{if $x$ = 0 mod-$p$}\\ 0&\mbox{otherwise.}\\ \end{array}\right.
f(n)={1 if n is prime and splits completely in K0 otherwise. 

0.5751
-4.0000
9.0000
ν(A)={1if A is co-countable,0if AAA is countable.νA1if AAA is co-countable,0if AAA is countable.\nu(A)=\left\{\begin{array}[]{ll}1&\mbox{if $A$ is co-countable,}\\ 0&\mbox{if $A$ is countable.}\end{array}\right.

0.5751
-4.0000
8.0000
γ(n)={1 if n is even0 if nnn is oddγn1 if nnn is even0 if nnn is odd\gamma(n)=\left\{\begin{array}[]{rl}1&\text{ if $n$ is even}\\ 0&\text{ if $n$ is odd}\end{array}\right.
χ(𝒜)={1if 𝒜  is true0if 𝒜  is false
(𝒜)={1if 𝒜  is true0if 𝒜  is false
ϵ()={1ifis even0ifis odd
δ(P)={1if P is true,0if PPP is false.δP1if PPP is true,0if PPP is false.\displaystyle\delta(P)=\begin{cases}1&\text{if $P$ is true,}\\ 0&\text{if $P$ is false.}\end{cases}

0.5751
-4.0000
7.0000
δ(P)={1if P holds,0otherwise.δP1if PPP holds0otherwise\delta(P)=\begin{cases}1&\text{if $P$ holds},\\ 0&\text{otherwise}.\end{cases}

0.5751
-5.0000
7.0000
δ(n)={1ifn=0;0otherwise.
f(n)={1ifn=0,0otherwise.

0.5751
-5.0000
7.0000
trπ(madd)={1 if π has additive reduction0 otherwise.

0.5751
-6.0000
8.0000
θ(k)={1if k>00if k<0k0k<0θk1if k>0k0k>00if k<0k0k<0\theta(k)=\left\{\begin{array}[]{ll}1&\mbox{if $k>0$}\\ 0&\mbox{if $k<0$}\end{array}\right.
θ(t)={1if  t>00if  t<0.
θ(P)={1if P is true,0if PPP is false.θP1if PPP is true0if PPP is false\displaystyle\theta(P)=\left\{\begin{array}[]{ll}1&\hbox{if $P$ is true},\\ 0&\hbox{if $P$ is false}.\end{array}\right.
u(x)={1 if x00 if x>0x0x>0 ux1 if x≥0x0x\geq 00 if x>0x0x>0 u(x)=\begin{cases}1&\text{ if $x\geq 0$}\\ 0&\text{ if $x>0$ }\end{cases}
Θ(x)={1if x00if x<0
δ(x)={1ifx=00ifx0.
φ(x)={1if x=00if x0
θ(τ)={1if τ00if τ<0τ0\tau<0θτ1if τ≥0τ0\tau\geq 00if τ<0τ0\tau<0\theta(\tau)=\begin{cases}1&\text{if $\tau\geq 0$}\\ 0&\text{if $\tau<0$}\end{cases}
h(t)={1 if t00 if t1.
θ(i)={1if i>00if i0.

0.5751
-7.0000
8.0000
ψ(λ)={1if λ3,0if λ2λ2\lambda\leq 2ψλ1if λ≥3λ3\lambda\geq 3,0if λ≤2λ2\lambda\leq 2\psi(\lambda)=\begin{cases}1&\text{if $\lambda\geq 3$,}\\ 0&\text{if $\lambda\leq 2$}\end{cases}
H(x)={1if x>1,0if x<1.x1.x<1.Hx1if x>1x1x>1,0if x<1.x1.x<1.H(x)=\left\{\begin{array}[]{l l}1&\quad\mbox{if $x>1$,}\\ 0&\quad\mbox{if $x<1.$}\\ \end{array}\right.
θ(α)={1if α>0,0if α0 .
θ(x)={1if x>0,0if x0.

0.5751
-7.0000
8.0000
δ(x)={1 if x=00 if x0x0x\neq 0 .δx1 if x=0x0x=00 if x≠0x0x\neq 0 \delta(x)=\begin{cases}1&\text{ if $x=0$}\\ 0&\text{ if $x\neq 0$ }\end{cases}.

0.5641
-9.0000
10.0000
χB(a)={1ifaB0ifaA\B.

0.5405
-5.0000
9.0000
1A(x)={1if xA,0otherwise.subscript1Ax1if x∈AxAx\in A,0otherwise.1_{A}(x)=\begin{cases}1&\text{if $x\in A$,}\\ 0&\text{otherwise.}\end{cases}

0.5405
-5.0000
7.0000
α𝒞(X)={1if X contains a cycle not included in 𝒞0otherwise.subscriptα𝒞X1⁢if XXX contains a cycle not included in C0otherwise\alpha_{\cal C}(X)=\begin{cases}1&\text{if $X$ contains a cycle not included % in }{\cal C}\\ 0&\text{otherwise}.\end{cases}

0.5405
-6.0000
8.0000
1J(𝒙)={1if 𝒙J,0otherwise.

0.5405
-7.0000
7.0000
δ(a|b)={1ifa|b,0otherwise.

0.5405
-8.0000
9.0000
tx=1A(x)={1if xA,0if otherwisesubscripttxsubscript1Ax1if x∈AxAx\in A0if otherwiset_{x}=1_{A}(x)=\begin{cases}1&\text{if $x\in A$},\\ 0&\text{if otherwise}\end{cases}

0.5405
-8.0000
7.0000
IA(x)={1 if xA0 if xA.

0.5405
-11.0000
9.0000
(Ai)x,y={1if yΓi(x),0otherwise.subscriptsubscriptAixy1if y∈Γi⁢(x)ysubscriptnormal-Γixy\in\Gamma_{i}(x),0otherwise(A_{i})_{x,y}=\begin{cases}1&\text{if $y\in\Gamma_{i}(x)$,}\\ 0&\text{otherwise}.\end{cases}

0.5220
-6.0000
9.0000
φ(ω)={0 if ωAα if ωAωA\omega\in A.φω0 if ω∉AωA\omega\notin Aα if ω∈AωA\omega\in A\varphi(\omega)=\left\{\begin{array}[]{ll}0&\textrm{ if $\omega\notin A$}\\ \alpha&\textrm{ if $\omega\in A$}.\end{array}\right.

0.5143
-5.0000
8.0000
1(A)={1if A occurs,0otherwise .

0.5143
-5.0000
7.0000
[P]={1if P,0if not P.

0.5143
-10.0000
8.0000
(Aα)𝒙,𝒚={1if 𝒙𝒚=α,0otherwise.subscriptsubscriptAα𝒙𝒚1if 𝒙⋅𝒚=αnormal-⋅𝒙𝒚α\bm{x}\cdot\bm{y}=\alpha,0otherwise.(A_{\alpha})_{\bm{x},\bm{y}}=\begin{cases}1&\text{if $\bm{x}\cdot\bm{y}=\alpha% $,}\\ 0&\text{otherwise.}\end{cases}

0.5018
-2.0000
10.0000
{1if xA0if xA

0.5018
-5.0000
8.0000
IIA(x):={1ifxA0otherwise,

0.5018
-7.0000
8.0000
δij={1if i=j0if ij.
δkj={1ifk=j0ifkj.

0.5018
-8.0000
9.0000
(aA)i={1if iA2if iA.

0.5018
-10.0000
10.0000
𝟙A-1(x)={1,xA,xA.

0.4791
-8.0000
9.0000
Ii={1if iA,0if iBiBi\in B,subscriptIi1if i∈AiAi\in A,0if i∈BiBi\in B,I_{i}=\left\{\begin{array}[]{ll}1&\mbox{if $i\in A$,}\\ 0&\mbox{if $i\in B$,}\\ \end{array}\right.

0.4580
-9.0000
10.0000
𝟏A(𝐱)=def{1if𝐱A0if𝐱A.

0.4174
-3.0000
7.0000
={1if βm=A0otherwise,

0.4174
-5.0000
6.0000
δ={1if K is a number field or ¯normal-¯{\overline{\mathbb{Q}}}0𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒.δ1if KKK is a number field or ℚ¯normal-¯ℚ{\overline{\mathbb{Q}}}0otherwise\delta=\left\{\begin{array}[]{ll}1&\mbox{if $K$ is a number field or ${% \overline{\mathbb{Q}}}$}\\ 0&\mbox{otherwise}.\end{array}\right.

0.4174
-8.0000
7.0000
δJ(A)={1JA0JA.

0.4174
-8.0000
5.0000
Γ(x,x)={1xA0xA

0.4174
-11.0000
7.0000
δx(A)={1,xA,0,xA.

0.3925
-5.0000
6.0000
={1ifi=1;0otherwise.

0.3925
-7.0000
7.0000
δ={1if K is a number field,0if KKK is a function field.δ1if KKK is a number field0if KKK is a function field\delta=\left\{\begin{array}[]{ll}1&\mbox{if $K$ is a number field},\\ 0&\mbox{if $K$ is a function field}.\end{array}\right.

0.3925
-7.0000
7.0000
δv={1if v is archimedean0if v is nonarchimedean.

0.2290
-9.0000
5.0000
ag={1gA0gA.