- 0 ∉ P 2 {\displaystyle \mathbf {0} \
notin P_{2}} and a + b ∉ P 2 ; {\displaystyle \mathbf {a} +\mathbf {b} \
notin P_{2};} it is an
affine subspace. Its...
- Y)\land (\forall Y_{1},Y_{2}\in p:Y_{1}\neq Y_{2}\rightarrow (x\
notin Y_{1}\lor x\
notin Y_{2})).} In the case that the left and
right coordinates are identical...
- {\displaystyle A\ [x\in B\iff x\
notin f(x)]} , we
deduce ξ ∈ B ⟺ ξ ∉ f ( ξ ) {\displaystyle \xi \in B\iff \xi \
notin f(\xi )} via
universal instantiation...
- \left(\lim _{n\to \infty }g(X_{n})=g(X),\ X\
notin D_{g}\right)\\&\geq \Pr \left(\lim _{n\to \infty }X_{n}=X,\ X\
notin D_{g}\right)=1,\end{aligned}}} because...
- edge in E {\displaystyle E} with u ∉ C {\displaystyle u\
notin C} and v ∉ C {\displaystyle v\
notin C} (an edge
unrelated to the cycle), then
include in E...
- ∈ U : x ∉ A } . {\displaystyle A^{\complement }=U\setminus A=\{x\in U:x\
notin A\}.} The
absolute complement of A is
usually denoted by A ∁ {\displaystyle...
- \mid B)=\alpha P(\omega )} ω ∉ B : P ( ω ∣ B ) = 0 {\displaystyle \omega \
notin B:P(\omega \mid B)=0} ∑ ω ∈ Ω P ( ω ∣ B ) = 1. {\displaystyle \sum _{\omega...
- Jean-Christophe
Notin, La
guerre de la
France au Mali, p. 368. Jean-Christophe
Notin, La
guerre de la
France au Mali, pp. 347-350. Jean-Christophe
Notin, La guerre...
- {\displaystyle a_{i}\in \mathbb {O} } and e i ∉ O {\displaystyle e_{i}\
notin \mathbb {O} } An
algebra of
dimension 8 over
quaternions H {\displaystyle...
- x ) = 0 {\displaystyle f_{X}(x)=0} for all x ∉ X ( S ) {\displaystyle x\
notin X(S)} as
shown in the figure. The
image of X {\displaystyle X} has a countable...
