C.R.A.Z.Y. is a 2005 Canadian coming-of-age drama film directed by Jean-Marc Vallée and co-written by Vallée and François Boulay. It tells the story of...

y ) + z = x + ( y + z ) = x + y + z ( x y ) z = x ( y z ) = x y z     } for all  x , y , z ∈ R . {\displaystyle \left.{\begin{matrix}(x+y)+z=x+(y+z)=x+y+z\quad...

If a < b and b < c then a < c; and if x = y and y = z then x = z. A homogeneous relation R on the set X is a transitive relation if, for all a, b, c ∈...

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 −...

r r ( y ) [ y r 2 + 2 y r ∑ j = r + 1 n y j H ~ r j ( y ) + ∑ i , j = r + 1 n y i y j H ~ i j ( y ) ] = y 1 2 + ⋯ + y r − 1 2 + H r r ( y ) [ ( y r +...

− W 0 ( Y e Y ) = Y − W 0 ( Y e Y ) for  Y < − 1 , W 0 ( Y e Y ) − W − 1 ( Y e Y ) = Y − W − 1 ( Y e Y ) for  − 1 < Y < 0. {\displaystyle X(Y...

be 1 z = z ¯ z z ¯ = z ¯ | z | 2 = x − y 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...

\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...

connection: R ( X , Y ) Z = ∇ X ∇ Y Z − ∇ Y ∇ X Z − ∇ [ X , Y ] Z {\displaystyle R(X,Y)Z=\nabla _{X}\nabla _{Y}Z-\nabla _{Y}\nabla _{X}Z-\nabla _{[X,Y]}Z} or...

is a surface z = f(x, y) in space, and the line integral gives the (signed) cross-sectional area bounded by the curve C {\displaystyle {\mathcal {C}}}...

y, and z contains exclusively terms x2, y2, z2, xy, xz, yz, x, y, z, and a constant: f ( x , y , z ) = a x 2 + b y 2 + c z 2 + d x y + e x z + f y z +...

x 1 , … , X l ≤ x l ∣ Z 1 = z 1 , … , Z n = z n ) F Y ∣ Z = z ( y ) = Pr ( Y 1 ≤ y 1 , … , Y m ≤ y m ∣ Z 1 = z 1 , … , Z n = z n ) {\displaystyle...

This is a list of high schools in the U.S. state of Indiana. 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 Contents A B C D E F G H I J...

Bilinearity, [ a x + b y , z ] = a [ x , z ] + b [ y , z ] , {\displaystyle [ax+by,z]=a[x,z]+b[y,z],} [ z , a x + b y ] = a [ z , x ] + b [ z , y ] {\displaystyle...

_{Z}y\right)z=\langle y\mid z\rangle _{Z}\quad {\text{ for all }}y,z\in Z.} For every z ∈ Z , {\displaystyle z\in Z,} the scalar-valued map ⟨ z ∣ A (...

a generalization of the distributive law, which asserts that the equality x ⋅ ( y + z ) = x ⋅ y + x ⋅ z {\displaystyle x\cdot (y+z)=x\cdot y+x\cdot z}...

B Y B Z B ] = [ X A Y A Z A ] + [ Δ X A Δ Y A Δ Z A ] + [ 1 − r z r y r z 1 − r x − r y r x 1 ] [ X A − X A 0 Y A − Y A 0 Z A − Z A 0 ] + Δ S [ X A −...

l a l − b l d l − c l b l a l ) ( w x y z ) ( a r − b r − c r − d r b r a r d r − c r c r − d r a r b r d r c r − b r a r ) . {\displaystyle f\left({\vec...

z z ∗ = z ∗ z = x 2 − y 2   . {\displaystyle \lVert z\rVert ^{2}=zz^{*}=z^{*}z=x^{2}-y^{2}~.} It has the composition algebra property: ‖ z w ‖ = ‖ z ‖...

functions of I1 I 2 = − Z 21 Z L + Z 22 I 1 V 1 = Z 11 I 1 − Z 12 Z 21 Z L + Z 22 I 1 = ( Z 11 − Z 12 Z 21 Z L + Z 22 ) I 1 = Z in I 1 {\displaystyle...

} and C {\displaystyle C} can be related to the covariance matrices of X = ℜ ( Z ) {\displaystyle \mathbf {X} =\Re (\mathbf {Z} )} and Y = ℑ ( Z ) {\displaystyle...

y = Y − Y 0 {\displaystyle y=Y-Y_{0}} , z = Z − Z 0 {\displaystyle z=Z-Z_{0}} , and d = D − a X 0 − b Y 0 − c Z 0 {\displaystyle d=D-aX_{0}-bY_{0}-cZ_{0}}...

y 2 + A y z + z 2 ) + 5 x ( y 4 + B y 3 z + C y 2 z 2 + B y z 3 + z 4 ) + D x 2 y z ( y + z ) + x 0 , {\displaystyle x\to x^{5}-10x^{3}(y^{2}+Ayz+z...

components ( x , y , z ) ∈ R 3 {\displaystyle (x,y,z)\in \mathbb {R} ^{3}} , r = | r | {\displaystyle r=|\mathbf {r} |} , and a = z ^ − λ 2 ( x ^ + i y ^ ) + 1...

attacker can find k = z − z ′ s − s ′ {\displaystyle k={\frac {z-z'}{s-s'}}} . Since s = k − 1 ( z + r d A ) {\displaystyle s=k^{-1}(z+rd_{A})} , the attacker...

z: ∫ arcsin ⁡ ( z ) d z = z arcsin ⁡ ( z ) + 1 − z 2 + C ∫ arccos ⁡ ( z ) d z = z arccos ⁡ ( z ) − 1 − z 2 + C ∫ arctan ⁡ ( z ) d z = z arctan ⁡ ( z )...

exponentiation identity: b x + y = b x b y  for all  x , y ∈ R . {\displaystyle b^{x+y}=b^{x}b^{y}{\text{ for all }}x,y\in \mathbb {R} .} This implies b n = b...

y ] ⋅ [ x , z ] y {\displaystyle [x,zy]=[x,y]\cdot [x,z]^{y}} and [ x z , y ] = [ x , y ] z ⋅ [ z , y ] . {\displaystyle [xz,y]=[x,y]^{z}\cdot [z,y]...

×14, T ×13, A ×6, E ×6, I ×6, O ×6, U ×6, Á ×1, À ×1, Ã ×1, Ạ ×1, Ả ×1, Ă ×1, Ắ ×1, Ằ ×1, Ẳ ×1, Ặ ×1, Ẵ ×1, Â ×1, Ấ ×1, Ầ ×1, Ẩ ×1, Ậ ×1, Ẫ ×1, É ×1, È...

"grad"), and f ( x , y , z ) {\displaystyle f(x,y,z)} is a twice-differentiable real-valued function. The Laplace operator therefore maps a scalar function...