query: Change of basis related to conics
positive_passages.docid: 151926
positive_passages.text: Rotation and translation of a conic-section
negative_passages.docid: 52888
negative_passages.text: Find all values of a for which $\{v_1,v_2,v_3\}$ form a basis for ${\bf R}^3$
negative_passages.docid: 122474
negative_passages.text: Inconsistency with partial derivatives as basis vectors?
negative_passages.docid: 123740
negative_passages.text: Conic in projective plane isomorphic to projective line
negative_passages.docid: 123006
negative_passages.text: Elliptic Coordinates - Inverting the transformation
negative_passages.docid: 5506
negative_passages.text: Perturbation property of Orthonormal basis for Hilbert space
negative_passages.docid: 47432
negative_passages.text: Change of Variables in Limits (Part 1)
negative_passages.docid: 71975
negative_passages.text: Showing that an Isometry on the Euclidean Plane fixing the origin is Linear
negative_passages.docid: 156302
negative_passages.text: Find conditions for a surface of rotation to be regular
negative_passages.docid: 81520
negative_passages.text: Polar form to cartesian
negative_passages.docid: 148968
negative_passages.text: Equation of conic: Given five points on it
negative_passages.docid: 148101
negative_passages.text: Basis for $\mathbb{Z}^2$
negative_passages.docid: 153589
negative_passages.text: Integral basis of an extension of number fields
negative_passages.docid: 116205
negative_passages.text: System of equations in a,b,c,d
negative_passages.docid: 7241
negative_passages.text: Areas versus volumes of revolution: why does the area require approximation by a cone?
negative_passages.docid: 57037
negative_passages.text: How does $(a,b)$ where $a,b\in \mathbb{Q}$ form a basis for $\mathbb{R}$?
negative_passages.docid: 39057
negative_passages.text: Check the differentiablity of $\theta :\mathbb R^2 \setminus\{(0,0)\}\to \mathbb R$