Returned 75 matches (100 formulae, 107 docs)
    Lookup 114.141 ms, Re-ranking 220.363 ms
    Found 2921478 tuple postings, 2552622 formulae, 1714880 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
ω*(A)={1if ωA0if 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
-4.0000
11.0000
δC(x)={1ifxC0ifxC.

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(k)={1if kX,0if kX

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
δΓ(x)={1ifxΓ0ifxΓ.

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
-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
10.0000
Vs(AΔ)={1if sA¯-1[Δ]0otherwise.fragmentssuperscriptVsfragmentsnormal-(AΔnormal-)fragmentsnormal-{1if s∈A¯-1⁢[Δ]ssuperscriptnormal-¯A1normal-Δs\in\bar{A}^{-1}[\Delta]0otherwise.V^{s}(A\in\Delta)=\left\{\begin{array}[]{ll}1&\mbox{if $s\in\bar{A}^{-1}[% \Delta]$}\\ 0&\mbox{otherwise.}\end{array}\right.

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.

0.6630
-9.0000
9.0000
Ω(u)={1,if    0u1,0,ifu>1.

0.6630
-9.0000
9.0000
φ0(r)={1-rif 0r10if r 1r 1r\geq\ 1subscriptφ0r-1rif 0≤r≤10r10\leq r\leq 10if r≥ 1r 1r\geq\ 1\varphi_{0}(r)=\begin{cases}1-r&\text{if $0\leq r\leq 1$}\\ 0&\text{if $r\geq\ 1$}\\ \end{cases}

0.6630
-10.0000
9.0000
ϕ0(t)={1 if 0t12,0 if t1.

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

0.6358
-11.0000
9.0000
ρ(y)={1,if 0|y|10,if |y|>2y2|y|>2ρy1if 0≤|y|≤10y10\leq|y|\leq 10if |y|>2y2|y|>2\displaystyle\rho(y)=\begin{cases}1,&\text{if $0\leq|y|\leq 1$}\\ 0,&\text{if $|y|>2$}\end{cases}

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

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
-5.0000
8.0000
δS(T)={1if S=T0if ST

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
-6.0000
8.0000
ηt(s)={1if t=s0if tstst\not=s,subscriptηts1if t=stst=s0if t≠stst\not=s ,\eta_{t}(s)~{}=~{}\begin{cases}1&\text{if $t=s$}\\ 0&\text{if $t\not=s$}\ ,\end{cases}

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
-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
-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. 
ϵ(t)={1if t=e0otherwise.ϵt1if t=etet=e0otherwise.\epsilon(t)=\left\{\begin{array}[]{ll}1&\mbox{if $t=e$}\\ 0&\mbox{otherwise.}\end{array}\right.
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
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}
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
ϵ()={1ifis even0ifis odd
(𝒜)={1if 𝒜  is true0if 𝒜  is false

0.5751
-6.0000
8.0000
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(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.
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(i)={1if i>00if i0.
δ(x)={1ifx=00ifx0.
Θ(x)={1if x00if x<0
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.

0.5751
-7.0000
8.0000
m2|dμ(m)={1if d is square-free0otherwise.fragmentssubscriptfragmentssuperscriptm2normal-|dμfragmentsnormal-(mnormal-)1if ddd is square-free0otherwise.\sum_{m^{2}|d}\mu(m)\ =\ \begin{cases}1&\text{{\rm if $d$ is square-free}}\\ 0&\text{{\rm otherwise.}}\end{cases}

0.5751
-7.0000
8.0000
θ(α)={1if α>0,0if α0 .
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(x)={1if x>0,0if x0.
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}

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}.

0.5751
-8.0000
8.0000
d|nμ(d)={1 if n=1,0 otherwise, 
m|μ(m)={1if =1,0otherwise.

0.5751
-8.0000
8.0000
χ(x)={1if x2,0if x1x1x\leq 1,χx1if x≥2x2x\geq 2,0if x≤1x1x\leq 1,\chi(x)=\begin{cases}1&\text{if $x\geq 2$,}\\ 0&\text{if $x\leq 1$,}\end{cases}
θ(x)={1 if x0,0 if x<0x0x<0.θx1 if x≥0x0x\geq 0,0 if x<0x0x<0.\theta(x)=\begin{cases}1&\text{ if $x\geq 0$,}\\ 0&\text{ if $x<0$.}\end{cases}
θ(x)={1 if x>0,0 if x<0x0x<0.θx1 if x>0x0x>0,0 if x<0x0x<0.\theta(x)\,=\,\begin{cases}1&\text{ if $x>0$,}\\ 0&\text{ if $x<0$.}\end{cases}
0.5751
-8.0000
8.0000
us(x)={1if x<0.5,0if x>0.5.

0.5751
-8.0000
8.0000
θ(y)={1, if y00, if y<0
χ(P)={1,if P is true;0,if PPP is false,χP1if PPP is true0if PPP is false\chi(P)=\begin{cases}1,&\text{if $P$ is true};\\ 0,&\text{if $P$ is false},\end{cases}

0.5751
-8.0000
8.0000
b(t)={1if t<3/40if t>1

0.5751
-8.0000
8.0000
trπ(m𝑎𝑑𝑑)={1 if π has additive reduction 0 if π otherwise ..

0.5751
-8.0000
8.0000
Θ(ξ)={1if|ξ|10if|ξ|2

0.5751
-8.0000
8.0000
θ(f(x))={1if f>00if f<0

0.5751
-8.0000
8.0000
r2|nμ(r)={1 if n is squarefree 0 otherwise ,

0.5751
-11.0000
9.0000
μ11(C2k)={1,if k=20,if k3k3\;k\geq 3subscriptμ11subscriptC2k1if k=2k2\;k=20if k≥3k3\;k\geq 3\mu_{11}(C_{2k})=\left\{\begin{array}[]{ll}1,&\textrm{if $\;k=2$}\\ 0,&\textrm{if $\;k\geq 3$}\end{array}\right.

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
-7.0000
8.0000
μ(u)={1,if u=v;0,otherwise.

0.5405
-7.0000
8.0000
γk(Q)={1 if kd0 if k0.

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
8.0000
f(s)={1if s0;0if sεsεs\geqslant\varepsilon,fs1if s⩽0s0s\leqslant 00if s⩾εsεs\geqslant\varepsilonf(s)=\left\{\begin{array}[]{ll}1&\mbox{if $s\leqslant 0$};\\ 0&\mbox{if $s\geqslant\varepsilon$},\end{array}\right.

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

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 .

0.5018
-2.0000
10.0000
{1if xA0if xA

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

0.4791
-4.0000
8.0000
γe={1if e\inAAA is on sink side of the cut and is not interdicted0otherwisesubscriptγe1if eee∈\inAAA is on sink side of the cut and is not interdicted0otherwise\gamma_{e}=\begin{cases}1&\text{if $e$$\in$$A$ is on sink side of the cut and % is not interdicted}\\ 0&\text{otherwise}\end{cases}
βe={1if e\inAAA is in the cut and is interdicted0otherwisesubscriptβe1if eee∈\inAAA is in the cut and is interdicted0otherwise\beta_{e}=\begin{cases}1&\text{if $e$$\in$$A$ is in the cut and is interdicted% }\\ 0&\text{otherwise}\end{cases}

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.

0.4174
-8.0000
7.0000
δJ(A)={1JA0JA.

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

0.3925
-6.0000
7.0000
ηj={1 if j is even0 if jjj is oddsubscriptηj1 if jjj is even0 if jjj is odd\eta_{j}=\begin{cases}1&\text{ if $j$ is even}\\ 0&\text{ if $j$ is odd}\end{cases}

0.3925
-6.0000
7.0000
Ci={1if i is odd0if iii is even,superscriptCi1if iii is odd0if iii is even,C^{i}=\begin{cases}1&\text{if $i$ is odd}\\ 0&\text{if $i$ is even,}\end{cases}