N-iX is a privately held software development and IT consulting company founded in 2002 in Lviv, Ukraine and headquartered in Malta. The company provides...

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...

in concept form as the Vision iNext at the 2018 LA Auto Show, and then in its production form in November 2020. The iX is BMW's second fully electric...

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...

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...

_{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})}...

tightened to n 8 k ( n − k ) 2 n H ( k / n ) ≤ ( n k ) ≤ n 2 π k ( n − k ) 2 n H ( k / n ) {\displaystyle {\sqrt {\frac {n}{8k(n-k)}}}2^{nH(k/n)}\leq {n \choose...

x ) = ∑ n = − ∞ ∞ a n e i n x {\displaystyle A(x)=\sum _{n=-\infty }^{\infty }a_{n}e^{inx}} and B ( x ) = ∑ n = − ∞ ∞ b n e i n x {\displaystyle B(x)=\sum...

x and integer n it is the case 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...

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...

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 )...

+(n-k+1)j_{n-k+1}=n.} The sum B n ( x 1 , … , x n ) = ∑ k = 0 n B n , k ( x 1 , x 2 , … , x n − k + 1 ) = n ! ∑ 1 j 1 + … + n j n = n ∏ i = 1 n x i j i...

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...

switch (x % 3) { case 0: x = x * x % N; a = a*2 % n; b = b*2 % n; break; case 1: x = x * alpha % N; a = (a+1) % n; break; case 2: x = x * beta % N; b = (b+1)...

+ x 6 + x 5 + x 4 + x 3 + x 2 + x + 1 Φ 12 ( 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 +...

_{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 |...

have ∑ i x n , i 2 = ∑ 1 ≤ i ≤ n n ∑ 1 ≤ j ≤ n , i ≠ j 1 ( x n , i − x n , j ) 2 x n , i = ∑ 1 ≤ j ≤ n , i ≠ j 1 x n , i − x n , j 2 n − 2 − x n , i 2 3...

ʷ ʸ ˀ ˁ ˠ ˡ ˢ ˣ ˤ. The Phonetic Extensions block has several superscripted letters and symbols: Latin/IPA ᴬ ᴭ ᴮ ᴯ ᴰ ᴱ ᴲ ᴳ ᴴ ᴵ ᴶ ᴷ ᴸ ᴹ ᴺ ᴻ ᴼ ᴽ ᴾ ᴿ ᵀ ᵁ...

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 + ⋱...

it is: r = lim n → ∞ H ( X n | X n − 1 , X n − 2 , X n − 3 , … ) ; {\displaystyle r=\lim _{n\to \infty }H(X_{n}|X_{n-1},X_{n-2},X_{n-3},\ldots );} that...

group. Let X be an n × n real or complex matrix. The exponential of X, denoted by eX or exp(X), is the n × n matrix given by the power series e X = ∑ k =...

talk show hosts, sorted alphabetically by their surnames. Contents:  Top 0–9 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 game show hosts...

{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...

f , x q n i − x ) = 1 {\displaystyle \gcd \left(f,x^{q^{n_{i}}}-x\right)=1} , for 1 ≤ i ≤ k, and f divides x q n − x {\displaystyle x^{q^{n}}-x} . In...

p C N M L ( x n + 1 ∣ x 1 , … , x n ) = n n + 1 ( x ¯ ) n ( n x ¯ + x n + 1 ) n + 1 , {\displaystyle p_{\rm {CNML}}(x_{n+1}\mid x_{1},\ldots ,x_{n})={\frac...

∑ 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...

avionics, aerospace, and aeronautics. 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 See also References External links List of aviation mnemonics...

1 = x n − f ( x n ) f ′ ( x n ) = x n − x n 2 − a 2 x n = 1 2 ( x n + a x n ) . {\displaystyle x_{n+1}=x_{n}-{\frac {f(x_{n})}{f'(x_{n})}}=x_{n}-{\frac...

trace map on H n ( X , K X ) {\displaystyle H^{n}(X,K_{X})} is a perfect pairing: H i ( X , E ) × H n − i ( X , K X ⊗ E ∗ ) → H n ( X , K X ) → k . {\displaystyle...

the pair of series γ = ∑ n = 1 ∞ N 1 ( n ) + N 0 ( n ) 2 n ( 2 n + 1 ) log ⁡ 4 π = ∑ n = 1 ∞ N 1 ( n ) − N 0 ( n ) 2 n ( 2 n + 1 ) , {\displaystyle...