• 2024, Legends: Z-A is part of the ninth generation of Pokémon video games, serving as a sequel to the sixth-generation titles Pokémon X and Y (2013) and as...
    14 KB (1,138 words) - 14:28, 22 July 2025
  • Thumbnail for Trigonometric functions
    < x < 1. {\displaystyle 0<x\cos x<\sin x<x\quad {\text{ for }}\quad 0<x<1.} The sine and cosine of a complex number z = x + i y {\displaystyle z=x+iy}...
    77 KB (10,653 words) - 21:24, 18 July 2025
  • Thumbnail for Logarithm
    Logarithm (redirect from Log(x))
    the output y from the input x. That is, y = log b ⁡ x {\displaystyle y=\log _{b}x} is equivalent to x = b y {\displaystyle x=b^{y}} if b is a positive real...
    98 KB (11,674 words) - 07:27, 12 July 2025
  • Pokémon X and Pokémon Y are 2013 role-playing video games developed by Game Freak and published by The Pokémon Company and Nintendo for the Nintendo 3DS...
    69 KB (6,394 words) - 02:01, 15 May 2025
  • In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function...
    76 KB (11,410 words) - 20:15, 22 May 2025
  • Thumbnail for X
    X
    In mathematics, x is commonly used as the name for an independent variable or unknown value. The modern tradition of using x, y, and z to represent an...
    33 KB (2,845 words) - 17:35, 24 July 2025
  • Thumbnail for Complex number
    Complex number (redirect from ℜ(z))
    be 1 z = z ¯ z z ¯ = z ¯ | z | 2 = xy i x 2 + y 2 = x x 2 + y 2 − y x 2 + y 2 i . {\displaystyle {\frac {1}{z}}={\frac {\bar {z}}{z{\bar {z}}}}={\frac...
    91 KB (12,021 words) - 17:33, 29 May 2025
  • Thumbnail for Exponential function
    Exponential function (redirect from E^x)
    substitution z = ⁠x/y⁠: e x y = 1 + 2 x 2 yx + x 2 6 y + x 2 10 y + x 2 14 y + ⋱ {\displaystyle e^{\frac {x}{y}}=1+{\cfrac {2x}{2y-x+{\cfrac {x^{2}}{6y+{\cfrac...
    37 KB (5,079 words) - 14:15, 7 July 2025
  • Thumbnail for Bessel function
    Bessel function (redirect from J(x))
    solutions y(x) of Bessel's differential equation x 2 d 2 y d x 2 + x d y d x + ( x 2 − α 2 ) y = 0 {\displaystyle x^{2}{\frac {d^{2}y}{dx^{2}}}+x{\frac...
    76 KB (12,329 words) - 13:45, 25 July 2025
  • Thumbnail for Inverse trigonometric functions
    z 2 + 1 d z , arcsec ⁡ ( x ) = ∫ 1 x 1 z z 2 − 1 d z = π + ∫ − x − 1 1 z z 2 − 1 d z , x ≥ 1 arccsc ⁡ ( x ) = ∫ x ∞ 1 z z 2 − 1 d z = ∫ − ∞ − x 1 z z...
    75 KB (10,633 words) - 05:07, 12 July 2025
  • Thumbnail for .xyz
    to people from Generations X, Y, and Z. XYZ.com and CentralNic are the registries for the domain. In November 2015, .xyz reached 1.5 million domain name...
    6 KB (476 words) - 11:13, 23 March 2025
  • Thumbnail for Euler angles
    groups: Proper Euler angles (z-x-z, x-y-x, y-z-y, z-y-z, x-z-x, y-x-y) Tait–Bryan angles (x-y-z, y-z-x, z-x-y, x-z-y, z-y-x, y-x-z). Tait–Bryan angles are...
    48 KB (5,168 words) - 06:53, 28 May 2025
  • Thumbnail for Cartesian coordinate system
    y , − z ) ( + x , − y , − z ) ( − x , + y , − z ) ( − x , − y , + z ) ( − x , − y , − z ) {\displaystyle {\begin{aligned}(+x,+y,+z)&&(-x,+y,+z)&&(+x,-y...
    41 KB (5,520 words) - 10:51, 17 July 2025
  • Thumbnail for Lorentz transformation
    \left(t-{\frac {vx}{c^{2}}}\right)\\x'&=\gamma \left(x-vt\right)\\y'&=y\\z'&=z\end{aligned}}} where (t, x, y, z) and (t′, x′, y′, z′) are the coordinates of an...
    108 KB (14,978 words) - 23:13, 8 July 2025
  • Thumbnail for Quantum logic gate
    X 2 = Y 2 = Z 2 = − i X Y Z = I {\displaystyle I^{2}=X^{2}=Y^{2}=Z^{2}=-iXYZ=I} The Pauli matrices also anti-commute, for example Z X = i Y = − X Z ...
    76 KB (10,349 words) - 15:14, 1 July 2025
  • Thumbnail for Exponentiation
    Exponentiation (redirect from X^y)
    example, ( x , ( y , z ) ) , {\displaystyle (x,(y,z)),} ( ( x , y ) , z ) , {\displaystyle ((x,y),z),} and ( x , y , z ) . {\displaystyle (x,y,z).} This...
    107 KB (13,693 words) - 00:47, 23 July 2025
  • Thumbnail for CIE 1931 color space
    CIE 1931 color space (redirect from CIE xyY)
    x and y, two of the three normalized values derived from the tristimulus values X, Y, and Z: x = X X + Y + Z y = Y X + Y + Z z = Z X + Y + Z = 1 − x −...
    57 KB (7,858 words) - 04:44, 20 July 2025
  • Thumbnail for Probability density function
    E Y ⁡ [ Y ] = ∫ R y f Y ( y ) d y = ∫ R y ∫ R n f X ( x ) δ ( y − V ( x ) ) d x d y = ∫ R n ∫ R y f X ( x ) δ ( y − V ( x ) ) d y d x = ∫ R n V ( x )...
    30 KB (4,947 words) - 17:28, 9 July 2025
  • Thumbnail for Euler's formula
    number z = x + iy, and its complex conjugate, z = x − iy, can be written as z = x + i y = | z | ( cos ⁡ φ + i sin ⁡ φ ) = r e i φ , z ¯ = x − i y = | z | (...
    27 KB (3,946 words) - 09:55, 16 July 2025
  • Thumbnail for X&amp;Y
    X&Y is the third studio album by the British rock band Coldplay. It was released on 6 June 2005 by Parlophone in the United Kingdom, and a day later by...
    113 KB (8,688 words) - 04:43, 20 July 2025
  • Thumbnail for Integral
    Integral (redirect from ∫f(x)dx)
    is a sum of the form G ( x , y , z ) d x ∧ d y + E ( x , y , z ) d y ∧ d z + F ( x , y , z ) d z ∧ d x . {\displaystyle G(x,y,z)\,dx\wedge dy+E(x,y,z)\...
    69 KB (9,288 words) - 03:06, 30 June 2025
  • Thumbnail for Binomial coefficient
    {\sin(y\pi )}{\sin(x\pi )}}{-y-1 \choose -x-1}={\frac {\sin((x-y)\pi )}{\sin(x\pi )}}{y-x-1 \choose y};} moreover, ( x y ) ⋅ ( y x ) = sin ⁡ ( ( xy ) π...
    62 KB (10,790 words) - 13:49, 8 July 2025
  • Thumbnail for Three-dimensional space
    namely, A x 2 + B y 2 + C z 2 + F x y + G y z + H x z + J x + K y + L z + M = 0 , {\displaystyle Ax^{2}+By^{2}+Cz^{2}+Fxy+Gyz+Hxz+Jx+Ky+Lz+M=0,} where A, B...
    34 KB (4,825 words) - 21:40, 24 June 2025
  • Thumbnail for Z
    Z
    express support for the invasion. Z with diacritics: Ź ź Ž ž Ż ż Ƶ ƶ ß : German letter regarded as a ligature of long s (ſ) and short...
    31 KB (2,885 words) - 17:09, 25 July 2025
  • Thumbnail for Natural logarithm
    Natural logarithm (redirect from Ln(x))
    {dx}{x}}} d v = d x ⇒ v = x {\displaystyle dv=dx\Rightarrow v=x} then: ∫ ln ⁡ x d x = x ln ⁡ x − ∫ x x d x = x ln ⁡ x − ∫ 1 d x = x ln ⁡ xx + C {\displaystyle...
    34 KB (5,882 words) - 10:22, 27 June 2025
  • Thumbnail for Diophantine equation
    equations, w, x, y, and z are the unknowns and the other letters are given constants: The simplest linear Diophantine equation takes the form a x + b y = c ,...
    33 KB (4,809 words) - 14:16, 7 July 2025
  • assemble a matrix. 2 [ Q x x − M x x + Q x x Y x x + Q x y Y x y Q x y − M x y + Q x x Y x y + Q x y Y y y Q y x − M y x + Q y x Y x x + Q y y Y x y Q y y −...
    102 KB (15,809 words) - 06:02, 22 July 2025
  • Thumbnail for Metric space
    distance from y to x: d ( x , y ) = d ( y , x ) {\displaystyle d(x,y)=d(y,x)} The triangle inequality holds: d ( x , z ) ≤ d ( x , y ) + d ( y , z ) {\displaystyle...
    82 KB (11,429 words) - 15:01, 21 July 2025
  • Thumbnail for Normal distribution
    tedious. a ( xy ) 2 + b ( xz ) 2 = ( a + b ) ( xa y + b z a + b ) 2 + a b a + b ( yz ) 2 {\displaystyle a(x-y)^{2}+b(x-z)^{2}=(a+b)\left(x-{\frac...
    149 KB (21,749 words) - 21:46, 22 July 2025
  • Thumbnail for CIELAB color space
    CIELAB color space (redirect from L*a*b)
    CIE website. L ⋆ = 116 f ( Y / Y n ) − 16 , a ⋆ = 500 ( f ( X / X n ) − f ( Y / Y n ) ) b ⋆ = 200 ( f ( Y / Y n ) − f ( Z / Z n ) ) {\displaystyle...
    22 KB (2,883 words) - 06:09, 27 April 2025