An overline, overscore, or overbar, is a typographical feature of a horizontal line drawn immediately above the text. In old mathematical notation, an...
18 KB (2,110 words) - 17:20, 29 August 2023
{\begin{aligned}{\overline {z+w}}&={\overline {z}}+{\overline {w}},\\{\overline {z-w}}&={\overline {z}}-{\overline {w}},\\{\overline {zw}}&={\overline {z}}\;{\overline...
12 KB (1,855 words) - 21:20, 29 December 2023
{\begin{aligned}{\overline {A\cup B}}&={\overline {A}}\cap {\overline {B}},\\{\overline {A\cap B}}&={\overline {A}}\cup {\overline {B}},\end{aligned}}}...
23 KB (3,659 words) - 19:17, 17 July 2024
{\displaystyle (A+{\overline {B}})\cdot ({\overline {A}}+B)} and A ⋅ B + A ¯ ⋅ B ¯ {\displaystyle A\cdot B+{\overline {A}}\cdot {\overline {B}}} both represent...
10 KB (1,148 words) - 06:06, 16 June 2024
{\displaystyle A\cdot {\overline {B}}+{\overline {A}}\cdot B} or ( A + B ) ⋅ ( A ¯ + B ¯ ) {\displaystyle (A+B)\cdot ({\overline {A}}+{\overline {B}})} or ( A +...
21 KB (2,676 words) - 18:33, 19 August 2024
{\overline {AF}}{\overline {FB}}}\right|\times \left|{\frac {\overline {BD}}{\overline {DC}}}\right|\times \left|{\frac {\overline {CE}}{\overline {EA}}}\right|=1...
11 KB (1,488 words) - 09:55, 17 February 2024
{\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...
14 KB (2,481 words) - 08:09, 22 August 2024
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...
30 KB (3,561 words) - 19:46, 20 August 2024
{\overline {a}}+_{m}{\overline {b}}={\overline {a+b}}} and a ¯ ⋅ m b ¯ = a b ¯ . {\displaystyle {\overline {a}}\cdot _{m}{\overline {b}}={\overline {ab}}...
24 KB (3,639 words) - 06:47, 26 January 2024
=\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\}...
29 KB (3,602 words) - 18:28, 25 August 2024
given formula φ {\displaystyle \varphi } , and if φ ¯ {\displaystyle {\overline {\varphi }}} is used as notation for replacing every sentence-letter in...
13 KB (1,856 words) - 14:02, 28 June 2024
{\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...
45 KB (6,317 words) - 23:22, 21 August 2024
&(\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...
31 KB (3,346 words) - 00:37, 8 August 2024
(C\rightarrow {\overline {A}})\wedge ({\overline {C}}\rightarrow A)} , ( C ¯ ∨ A ¯ ) ∧ ( C ∨ A ) {\displaystyle ({\overline {C}}\vee {\overline {A}})\wedge...
12 KB (1,470 words) - 11:14, 24 May 2024
}a_{n}{\overline {b_{n}}}&={\frac {1}{2\pi }}\left[a_{1}{\overline {b_{1}}}x+ia_{1}{\overline {b_{2}}}e^{-ix}-ia_{2}{\overline {b_{1}}}e^{ix}+a_{2}{\overline...
9 KB (1,799 words) - 10:29, 20 July 2024
{\displaystyle t^{2}=({\overline {\mathbf {x} }}-{\boldsymbol {\mu }})'{\hat {\mathbf {\Sigma } }}_{\overline {\mathbf {x} }}^{-1}({\overline {\mathbf {x} }}-{\boldsymbol...
18 KB (1,980 words) - 04:49, 26 August 2024
{\displaystyle \sigma _{\overline {p}}} . For the single result from our survey, we assume that p = p ¯ {\displaystyle p={\overline {p}}} , and that all subsequent...
13 KB (2,271 words) - 19:50, 23 August 2024
\triangleq \int _{-\infty }^{\infty }{\overline {f(t-\tau )}}g(t)\,dt} where f ( t ) ¯ {\displaystyle {\overline {f(t)}}} denotes the complex conjugate...
26 KB (4,084 words) - 08:01, 24 April 2024
{\displaystyle {\begin{aligned}{\overline {AU}}&={\overline {AU'}}={\sqrt {2}}\,,\\[2pt]{\overline {AV}}&={\overline {AV'}}={\sqrt {5}}\,;\end{aligned}}}...
33 KB (3,682 words) - 16:45, 27 August 2024
¯ . {\displaystyle {\overline {H}}.} This means that H {\displaystyle H} is a linear subspace of H ¯ , {\displaystyle {\overline {H}},} the inner product...
56 KB (7,305 words) - 10:53, 26 August 2024
_{v}^{2}+\sigma _{w}^{2})={\frac {1}{2}}\left(\,{\overline {(u')^{2}}}+{\overline {(v')^{2}}}+{\overline {(w')^{2}}}\,\right),} where each turbulent velocity...
10 KB (1,337 words) - 20:13, 6 March 2024
be expressed as A ¯ ∨ B ¯ = A ⋅ B ¯ {\displaystyle {\overline {A}}\lor {\overline {B}}={\overline {A\cdot B}}} , making a NAND gate equivalent to inverters...
5 KB (533 words) - 01:15, 10 August 2024
\|f\|_{H^{*}}~=~\left\|{\overline {f}}\right\|_{{\overline {H}}^{*}}\quad {\text{ and }}\quad \left\|{\overline {g}}\right\|_{H^{*}}~=~\|g\|_{{\overline {H}}^{*}}}...
75 KB (12,630 words) - 11:15, 13 July 2024
{\displaystyle h=4{\overline {AB}}\sin \beta \cdot {\frac {\overline {DX}}{\overline {XE}}}\cdot {\frac {\overline {AC}}{\overline {AY}}}\sin \gamma }...
13 KB (2,229 words) - 14:48, 14 January 2024
{\displaystyle {\overline {\rm {AB}}}} line segment from A to B 1⁄7 = 0.142857 repeated 0.1428571428571428571... a + b i ¯ {\displaystyle {\overline {a+bi}}}...
7 KB (803 words) - 21:00, 8 July 2024
{\displaystyle {\frac {\overline {AF}}{\overline {FB}}}\cdot {\frac {\overline {BD}}{\overline {DC}}}\cdot {\frac {\overline {CE}}{\overline {EA}}}=1.} In other...
14 KB (1,933 words) - 16:18, 8 August 2024
{\displaystyle \mathbf {A} ^{\mathrm {H} }=\left({\overline {\mathbf {A} }}\right)^{\operatorname {T} }={\overline {\mathbf {A} ^{\operatorname {T} }}}} where...
10 KB (1,711 words) - 05:55, 26 August 2024
{\displaystyle {\overline {x}}(\lambda )} , y ¯ ( λ ) {\displaystyle {\overline {y}}(\lambda )} and z ¯ ( λ ) {\displaystyle {\overline {z}}(\lambda )}...
55 KB (7,607 words) - 15:47, 7 August 2024
{1}{2}}{\begin{pmatrix}({\overline {z}}-{\overline {\mu }})^{\intercal },&(z-\mu )^{\intercal }\end{pmatrix}}{\begin{pmatrix}\Gamma &C\\{\overline {C}}&{\overline {\Gamma...
16 KB (2,288 words) - 00:08, 11 May 2024
{\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}}}...
10 KB (1,772 words) - 23:22, 12 December 2023