An overline, overscore, or overbar, is a typographical feature of a horizontal line drawn immediately above the text. In old mathematical notation, an...

{\begin{aligned}{\overline {z+w}}&={\overline {z}}+{\overline {w}},\\{\overline {z-w}}&={\overline {z}}-{\overline {w}},\\{\overline {zw}}&={\overline {z}}\;{\overline...

&(\lnot p\land q)&=&p{\overline {q}}+{\overline {p}}q\\[3pt]&=&(p\lor q)&\land &(\lnot p\lor \lnot q)&=&(p+q)({\overline {p}}+{\overline {q}})\\[3pt]&=&(p\lor...

{\displaystyle A\cdot {\overline {B}}+{\overline {A}}\cdot B} or ( A + B ) ⋅ ( A ¯ + B ¯ ) {\displaystyle (A+B)\cdot ({\overline {A}}+{\overline {B}})} or ( A +...

¯ . {\displaystyle {\overline {H}}.} This means that H {\displaystyle H} is a linear subspace of H ¯ , {\displaystyle {\overline {H}},} the inner product...

{\overline {AF}}{\overline {FB}}}\right|\times \left|{\frac {\overline {BD}}{\overline {DC}}}\right|\times \left|{\frac {\overline {CE}}{\overline {EA}}}\right|=1...

{\displaystyle (A+{\overline {B}})\cdot ({\overline {A}}+B)} and A ⋅ B + A ¯ ⋅ B ¯ {\displaystyle A\cdot B+{\overline {A}}\cdot {\overline {B}}} both represent...

{\displaystyle {\overline {X}}_{n}} is likely to be near μ. Thus, it leaves open the possibility that | X ¯ n − μ | > ε {\displaystyle |{\overline {X}}_{n}-\mu...

{\begin{aligned}{\overline {A\cup B}}&={\overline {A}}\cap {\overline {B}},\\{\overline {A\cap B}}&={\overline {A}}\cup {\overline {B}},\end{aligned}}}...

{\displaystyle {\frac {\overline {AF}}{\overline {FB}}}\cdot {\frac {\overline {BD}}{\overline {DC}}}\cdot {\frac {\overline {CE}}{\overline {EA}}}=1.} In other...

{\displaystyle s_{{\overline {n}}|i}=(1+i)^{n}\times a_{{\overline {n}}|i}} and 1 a n ¯ | i − 1 s n ¯ | i = i {\displaystyle {\frac {1}{a_{{\overline {n}}|i}}}-{\frac...

{\displaystyle t^{2}=({\overline {\mathbf {x} }}-{\boldsymbol {\mu }})'{\hat {\mathbf {\Sigma } }}_{\overline {\mathbf {x} }}^{-1}({\overline {\mathbf {x} }}-{\boldsymbol...

{\displaystyle {\overline {\rm {AB}}}} line segment from A to B 1⁄7 = 0.142857 repeated 0.1428571428571428571... a + b i ¯ {\displaystyle {\overline {a+bi}}}...

D)={}&{\overline {A}}BC{\overline {D}}+A{\overline {B}}\,{\overline {C}}\,{\overline {D}}+A{\overline {B}}\,{\overline {C}}D+A{\overline {B}}C{\overline {D}}+{}\\&A{\overline...

}\left(a_{1}e^{i1x}{\overline {b_{1}}}e^{-i1x}+a_{1}e^{i1x}{\overline {b_{2}}}e^{-i2x}+a_{2}e^{i2x}{\overline {b_{1}}}e^{-i1x}+a_{2}e^{i2x}{\overline {b_{2}}}e^{-i2x}+\cdots...

=\left\{{\overline {a}}_{m}\mid a\in \mathbb {Z} \right\}=\left\{{\overline {0}}_{m},{\overline {1}}_{m},{\overline {2}}_{m},\ldots ,{\overline {m{-}1}}_{m}\right\}...

x_{j}}}+{\frac {\partial {\bar {u}}_{j}}{\partial x_{i}}}\right)-\rho {\overline {u_{i}^{\prime }u_{j}^{\prime }}}\right].} The left hand side of this equation...

{\displaystyle {\overline {L}}(\lambda )} , M ¯ ( λ ) {\displaystyle {\overline {M}}(\lambda )} , or S ¯ ( λ ) {\displaystyle {\overline {S}}(\lambda )}...

space V {\displaystyle V\,} is a complex vector space V ¯ {\displaystyle {\overline {V}}} that has the same elements and additive group structure as V , {\displaystyle...

_{v}^{2}+\sigma _{w}^{2})={\frac {1}{2}}\left(\,{\overline {(u')^{2}}}+{\overline {(v')^{2}}}+{\overline {(w')^{2}}}\,\right),} where each turbulent velocity...

{\begin{alignedat}{9}f(x+y)&=f(x)+f(y)&&\qquad {\text{ (additivity) }}\\f(sx)&={\overline {s}}f(x)&&\qquad {\text{ (conjugate homogeneity) }}\\\end{alignedat}}}...

usually denoted as ↓ {\displaystyle \downarrow } or ∨ ¯ {\displaystyle {\overline {\vee }}} or X {\displaystyle X} (prefix) or NOR {\displaystyle \operatorname...

\|f\|_{H^{*}}~=~\left\|{\overline {f}}\right\|_{{\overline {H}}^{*}}\quad {\text{ and }}\quad \left\|{\overline {g}}\right\|_{H^{*}}~=~\|g\|_{{\overline {H}}^{*}}}...

a_{ij}={\overline {a_{ji}}}} or in matrix form: A  is Hermitian ⟺ A = A T ¯ . {\displaystyle A{\text{ is Hermitian}}\quad \iff \quad A={\overline {A^{\mathsf...

{\displaystyle h=4{\overline {AB}}\sin \beta \cdot {\frac {\overline {DX}}{\overline {XE}}}\cdot {\frac {\overline {AC}}{\overline {AY}}}\sin \gamma }...

&=\tan(36)\\{\overline {US}}=2/(\varphi {\overline {AB}})&=2\cot(72)\\{\overline {AU}}=1/{\overline {AB}}&=\varphi \cot(72)\\{\overline {UV}}-{\overline...

{\overline {a}}+_{m}{\overline {b}}={\overline {a+b}}} and a ¯ ⋅ m b ¯ = a b ¯ . {\displaystyle {\overline {a}}\cdot _{m}{\overline {b}}={\overline {ab}}...

overline {-i}}&{\overline {-2+i}}\\{\overline {2+i}}&{\overline {0}}\end{bmatrix}}={\begin{bmatrix}{\overline {-i}}&{\overline {2+i}}\\{\overline {-2+i}}&{\overline...

{\displaystyle {\overline {g}}_{\alpha \beta }\left({\overline {x}}_{\beta },{\overline {y}}_{\beta }\right)=\left({\overline {x}}_{\alpha }\left({\overline {x}}_{\beta...

\triangleq \int _{-\infty }^{\infty }{\overline {f(t-\tau )}}g(t)\,dt} where f ( t ) ¯ {\displaystyle {\overline {f(t)}}} denotes the complex conjugate...