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If the cusp of the cardioid is taken as the inversion center, the cardioid inverts to a parabola.
The classification of a collection of objects generally means that a list has been constructed with exactly one member from each isomorphism type among the objects, and that ...
A method of determining coefficients alpha_l in an expansion y(x)=y_0(x)+sum_(l=1)^qalpha_ly_l(x) so as to nullify the values of an ordinary differential equation L[y(x)]=0 ...
Combinatorial topology is a subset of algebraic topology that uses combinatorial methods. For example, simplicial homology is a combinatorial construction in algebraic ...
The parallel curves for (outward) offset k of an ellipse with semi-axis lengths a and b are given by x_p = (a+(bk)/(sqrt(a^2sin^2t+b^2cos^2t)))cost (1) y_p = ...
An even Mathieu function ce_r(z,q) with characteristic value a_r.
An odd Mathieu function se_r(z,q) with characteristic value a_r.
The flattening of a spheroid (also called oblateness) is denoted epsilon or f (Snyder 1987, p. 13). It is defined as epsilon={(a-c)/a=1-c/a oblate; (c-a)/a=c/a-1 prolate, (1) ...
A set S is said to be GCD-closed if GCD(x_i,x_j) in S for 1<=i,j<=n.
A cylindrical algebraic decomposition that omits sets of measure zero. Generic cylindrical algebraic decompositions are generally much quicker to compute than are normal ...
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