LEQ information

LEQ may refer to: Land's End Airport's IATA code Lembena language's ISO 639-3 code Leq or equivalent continuous sound level, see Sound level meter#LAT...

{\displaystyle F_{X}(x)=\operatorname {P} (X\leq x)=\sum _{x_{i}\leq x}\operatorname {P} (X=x_{i})=\sum _{x_{i}\leq x}p(x_{i}).} If the CDF F X {\displaystyle...

{\displaystyle a\leq a} (reflexive). If a ≤ b {\displaystyle a\leq b} and b ≤ c {\displaystyle b\leq c} then a ≤ c {\displaystyle a\leq c} (transitive)...

equal to a, we have g ( x ) ≤ f ( x ) ≤ h ( x ) {\displaystyle g(x)\leq f(x)\leq h(x)} and also suppose that lim x → a g ( x ) = lim x → a h ( x ) = L...

{\displaystyle P=(X,\leq )} of a set X {\displaystyle X} (called the ground set of P {\displaystyle P} ) and a partial order ≤ {\displaystyle \leq } on X {\displaystyle...

z, then the triangle inequality states that z ≤ x + y , {\displaystyle z\leq x+y,} with equality only in the degenerate case of a triangle with zero area...

N}}\right)\right],\quad &0\leq n<{\frac {\alpha N}{2}}\\w[n]=1,\quad &{\frac {\alpha N}{2}}\leq n\leq {\frac {N}{2}}\\w[N-n]=w[n],\quad &0\leq n\leq {\frac...

{\displaystyle \|A\|_{2}\leq \|A\|_{F}\leq {\sqrt {r}}\|A\|_{2}} ‖ A ‖ F ≤ ‖ A ‖ ∗ ≤ r ‖ A ‖ F {\displaystyle \|A\|_{F}\leq \|A\|_{*}\leq {\sqrt {r}}\|A\|_{F}}...

{\begin{array}{rl}f(x)&=2x\\[8pt]F(x)&=x^{2}\end{array}}\right\}{\text{ for }}0\leq x\leq 1} E ⁡ ( X ) = 2 3 Var ⁡ ( X ) = 1 18 {\displaystyle {\begin{aligned}\operatorname...

{\displaystyle x\leq \mu ,\;\,0\leq y\leq F(x)\quad } or x ≥ μ , F ( x ) ≤ y ≤ 1 {\displaystyle \quad x\geq \mu ,\;\,F(x)\leq y\leq 1} respectively, have...

{\displaystyle R_{NF}^{\infty }({\text{size}}\leq \alpha )\leq 1/(1-\alpha )} for all α ≤ 1 / 2 {\displaystyle \alpha \leq 1/2} . For each algorithm A that is an...

) − f ( a ) | ≤ M t ( b − a ) } . {\displaystyle E=\{0\leq t\leq 1\mid |f(a+t(b-a))-f(a)|\leq Mt(b-a)\}.} We want to show 1 ∈ E {\displaystyle 1\in E}...

{\displaystyle 0<p\leq \infty } (rather than just 1 ≤ p ≤ ∞ {\displaystyle 1\leq p\leq \infty } ), but it is only when 1 ≤ p ≤ ∞ {\displaystyle 1\leq p\leq \infty...

≤ 2 π a , {\displaystyle 2\pi b\leq C\leq 2\pi a,} π ( a + b ) ≤ C ≤ 4 ( a + b ) , {\displaystyle \pi (a+b)\leq C\leq 4(a+b),} 4 a 2 + b 2 ≤ C ≤ π 2 (...

leq 6x^{4}+|2x^{3}|+5\\&\leq 6x^{4}+2x^{4}+5x^{4}\\&=13x^{4}\end{aligned}}} so | 6 x 4 − 2 x 3 + 5 | ≤ 13 x 4 . {\displaystyle |6x^{4}-2x^{3}+5|\leq 13x^{4}...

since − 1 ⋅ x ≤ | x | {\displaystyle -1\cdot x\leq |x|} and + 1 ⋅ x ≤ | x | {\displaystyle +1\cdot x\leq |x|} , it follows that, whichever of ± 1 {\displaystyle...

}}&n&<\lceil x\rceil ,\\x\leq n&\;\;{\mbox{ if and only if }}&\lceil x\rceil &\leq n,\\n\leq x&\;\;{\mbox{ if and only if }}&n&\leq \lfloor x\rfloor .\end{aligned}}}...

0.65542 {\displaystyle {\begin{aligned}P(X\leq 82)&=P\!\!\left(Z\leq {\frac {82-80}{5}}\right)\\&=P(Z\leq 0.40)\\[2pt]&=0.15542+0.5\\[2pt]&=0.65542\end{aligned}}}...

_{f(x)+g(y)\leq d(x,y)}\mathbb {E} _{x\sim \mu }[f(x)]+\mathbb {E} _{y\sim \nu }[g(y)]\\&=\sup _{g}\sup _{\|f\|_{L}\leq 1,f(x)+g(y)\leq d(x,y)}\mathbb...

{\displaystyle y} such that x ≤ y {\displaystyle x\leq y} one has f ( x ) ≤ f ( y ) {\displaystyle f\!\left(x\right)\leq f\!\left(y\right)} , so f {\displaystyle...

 and  y 1 ≤ ⋯ ≤ y n {\displaystyle x_{1}\leq \cdots \leq x_{n}\quad {\text{ and }}\quad y_{1}\leq \cdots \leq y_{n}} and every permutation σ {\displaystyle...

following equivalent conditions hold: For all 0 ≤ t ≤ 1 {\displaystyle 0\leq t\leq 1} and all x 1 , x 2 ∈ X {\displaystyle x_{1},x_{2}\in X} : f ( t x 1...

{\displaystyle x_{i}\geq 0} ), or non-positive ( x i ≤ 0 {\displaystyle x_{i}\leq 0} ), or unconstrained ( x i ∈ R {\displaystyle x_{i}\in \mathbb {R} } )...

\operatorname {smoothstep} (x)=S_{1}(x)={\begin{cases}0,&x\leq 0\\3x^{2}-2x^{3},&0\leq x\leq 1\\1,&1\leq x\\\end{cases}}} Assuming that the left edge is 0, the...