real number x, one has e i x = cos ⁡ x + i sin ⁡ x , {\displaystyle e^{ix}=\cos x+i\sin x,} where e is the base of the natural logarithm, i is the imaginary...

concept form named Vision iNext at the 2018 Paris Motor Show, and then as fully production-ready in November 2020. The iX is the first purpose-built...

( x ) = x 4 − x 2 + 1 Φ 13 ( x ) = x 12 + x 11 + x 10 + x 9 + x 8 + x 7 + x 6 + x 5 + x 4 + x 3 + x 2 + x + 1 Φ 14 ( x ) = x 6 − x 5 + x 4 − x 3 + x 2...

n 1 ∂ n 2 ) n 3 = ( ∂ n 1 n 3 ∂ n 2 n 3 ) n 3 = ( ∂ x 1 x 3 ∂ x 2 x 3 ) n 3 {\displaystyle \left({\frac {\partial n_{1}}{\partial n_{2}}}\right)_{n_{3}}=\left({\frac...

n ( x ) = e x n ! d n d x n ( e − x x n ) = 1 n ! ( d d x − 1 ) n x n , {\displaystyle L_{n}(x)={\frac {e^{x}}{n!}}{\frac {d^{n}}{dx^{n}}}\left(e^{-x...

{n-k+1}{k}}{\binom {n}{k-1}}.} To sum up, we have ( n k ) = ( n n − k ) = n − k + 1 k ( n k − 1 ) = n n − k ( n − 1 k ) = n k ( n − 1 k − 1 ) = n n −...

z n = x n + y n = x + y n x n − 1 + ( n − 1 ) y 2 x + ( n + 1 ) y 3 n x n − 1 + ( 2 n − 1 ) y 2 x + ( 2 n + 1 ) y 5 n x n − 1 + ( 3 n − 1 ) y 2 x + ⋱...

1 x 1 − x 0 x 1 ( x 1 − x 0 ) x 1 2 ( x 1 − x 0 ) ⋯ x 1 n − 1 ( x 1 − x 0 ) 1 x 2 − x 0 x 2 ( x 2 − x 0 ) x 2 2 ( x 2 − x 0 ) ⋯ x 2 n − 1 ( x 2 − x 0...

Massey as I ( X n → Y n ) = ∑ i = 1 n I ( X i ; Y i | Y i − 1 ) {\displaystyle I(X^{n}\to Y^{n})=\sum _{i=1}^{n}I(X^{i};Y_{i}|Y^{i-1})} , where X n {\displaystyle...

number x and integer n it holds that ( cos ⁡ x + i sin ⁡ x ) n = cos ⁡ n x + i sin ⁡ n x , {\displaystyle {\big (}\cos x+i\sin x{\big )}^{n}=\cos nx+i\sin...

I + X k ) k {\displaystyle e^{X}=\lim _{k\rightarrow \infty }\left(I+{\frac {X}{k}}\right)^{k}} where I is the n×n identity matrix. When X is an n×n diagonal...

states that Var ⁡ ( ∑ i = 1 n X i ) = ∑ i = 1 n Var ⁡ ( X i ) + 2 ∑ i , j = 1 i < j n Cov ⁡ ( X i , X j ) = ∑ i , j = 1 n Cov ⁡ ( X i , X j ) {\displaystyle...

substantially from one another. x ¯ = C m + ∑ i = 1 n x i C + n {\displaystyle {\bar {x}}={Cm+\sum _{i=1}^{n}x_{i} \over C+n}} This is equivalent to adding...

∑ n = 0 ∞ a n ( x − c ) n = a 0 + a 1 ( x − c ) + a 2 ( x − c ) 2 + … {\displaystyle \sum _{n=0}^{\infty }a_{n}\left(x-c\right)^{n}=a_{0}+a_{1}(x...

I(X^{n};Y^{n})=I(X^{n}\to Y^{n})+I(Y^{n-1}\to X^{n}).} Two alternative forms of this law are I ( X n ; Y n ) = I ( X n → Y n ) + I ( Y n → X n ) − I ( X n ↔ Y n...

{1}{x-x_{i}}}} yields ∫ a b ω ( x ) x k p n ( x ) x − x i d x = x i k ∫ a b ω ( x ) p n ( x ) x − x i d x {\displaystyle \int _{a}^{b}\omega (x){\frac {x...

function is ∫ x m e i x n d x = V n , m ( x ) e i x n , {\displaystyle \int x^{m}e^{ix^{n}}\,dx=V_{n,m}(x)e^{ix^{n}},} with V n , m := x m + 1 m + 1 1...

eiX = cos X + i sin X, yielding sin ⁡ X = e i X − e − i X 2 i cos ⁡ X = e i X + e − i X 2 . {\displaystyle {\begin{aligned}\sin X&={e^{iX}-e^{-iX} \over...

_{i=1}^{n}\left|y_{i}-x_{i}\right|}{n}}={\frac {\sum _{i=1}^{n}\left|e_{i}\right|}{n}}.} It is thus an arithmetic average of the absolute errors | e i |...

Y n ) + I ( X n ( W ) ; Y n ) {\displaystyle \leq H(W|Y^{n})+I(X^{n}(W);Y^{n})} since X is a function of W ≤ 1 + P e ( n ) n R + I ( X n ( W ) ; Y n )...

_{i=1}^{n}\epsilon (X_{i})} or I ( X 1 ⊕ X 2 ⊕ ⋯ ⊕ X n ) = ∏ i = 1 n I ( X i ) {\displaystyle I(X_{1}\oplus X_{2}\oplus \cdots \oplus X_{n})=\prod _{i=1}^{n}I(X_{i})}...

w_{n})} , it is calculated as: x ¯ = ( ∏ i = 1 n x i w i ) 1 / ∑ i = 1 n w i = exp ⁡ ( ∑ i = 1 n w i ln ⁡ x i ∑ i = 1 n w i ) {\displaystyle {\bar {x}}=\left(\prod...

x ) {\displaystyle P(x)} of degree d {\displaystyle d} such that only certain derivatives have specified values at specified points: P ( n i ) ( x i )...

scratch[ix - 1]); } x[ix] = (x[ix] - a[ix] * x[ix - 1]) / (b[ix] - a[ix] * scratch[ix - 1]); } /* loop from X - 2 to 0 inclusive */ for (int ix = X - 2; ix >=...

iPhone X (Roman numeral "X" pronounced "ten") is a smartphone designed, developed and marketed by Apple. It is part of the 11th generation of the iPhone...

"I Love Rock 'n' Roll" is a rock song written by Alan Merrill and Jake Hooker and first recorded by the Arrows, a British rock band, in 1975. A 1981 cover...

neighbourhood N {\displaystyle N} of x {\displaystyle x} there exists an integer i {\displaystyle i} with N i {\displaystyle N_{i}} contained in N . {\displaystyle...

many residue classes a i ( mod n i ) = { a i + n i x :   x ∈ Z } , {\displaystyle a_{i}{\pmod {n_{i}}}=\{a_{i}+n_{i}x:\ x\in \mathbb {Z} \},} whose union...

a list of notable glamour models. Contents A B C D E F G H I J K L M N O P Q R S T U V W X Y Z List of pornographic performers by decade List of Playboy...

q n ( x ⌣ y ) = ∑ i + j = n ( S q i x ) ⌣ ( S q j y ) or P n ( x ⌣ y ) = ∑ i + j = n ( P i x ) ⌣ ( P j y ) {\displaystyle {\begin{aligned}Sq^{n}(x\smile...