query: Show that these curve families are orthogonal: $f(xy) = C$ and $y^2 - x^2 = D$
positive_passages.docid: 20652
positive_passages.text: Show that the families of hyberbolae $x^2-y^2=a$, $xy=b$ create an orthogonal grid: what am I doing wrong?
negative_passages.docid: 6960
negative_passages.text: Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal
negative_passages.docid: 52103
negative_passages.text: Use Stokes's Theorem to show $\oint_{C} y ~dx + z ~dy + x ~dz = \sqrt{3} \pi a^2$
negative_passages.docid: 63465
negative_passages.text: Orthogonal Projection of $ z $ onto the Affine set $ \left\{ x \mid A x = b \right\} $
negative_passages.docid: 80397
negative_passages.text: Show that this set of polynomials is ideal in F[x]
negative_passages.docid: 139436
negative_passages.text: Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem
negative_passages.docid: 137550
negative_passages.text: Finding the derivatives of inverse functions at given point of c
negative_passages.docid: 141015
negative_passages.text: Proof of orthogonal matrix
negative_passages.docid: 11665
negative_passages.text: Show that $D_{12}$ is isomorphic to $D_6\times C_2$
negative_passages.docid: 1932
negative_passages.text: How to show this equality of $\rho(X,Y)$
negative_passages.docid: 76640
negative_passages.text: Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
negative_passages.docid: 258
negative_passages.text: Existence of orthogonal coordinates on a Riemannian manifold
negative_passages.docid: 158156
negative_passages.text: Finding the dual basis for the space of polynomials of degree $\leq$ 2
negative_passages.docid: 102175
negative_passages.text: $Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
negative_passages.docid: 6722
negative_passages.text: to show $f$ is a polynomial in $z$
negative_passages.docid: 127436
negative_passages.text: Conformal Maps onto the Unit Disc in $\mathbb{C}$
negative_passages.docid: 84999
negative_passages.text: $\exp(A)$ is orthogonal iff $A$ is skew symmetric