Math: improved documentation for *::isNormalized().

src/Math/Complex.h

@@ -150,7 +150,7 @@ template<class T> class Complex {
          * @brief Whether the complex number is normalized
          *
          * Complex number is normalized if it has unit length: @f[
-         *      |c|^2 = |c| = 1
+         *      |c \cdot c - 1| < 2 \epsilon + \epsilon^2 \cong 2 \epsilon
          * @f]
          * @see dot(), normalized()
          */

src/Math/DualComplex.h

@@ -133,6 +133,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          *      |c_0|^2 = |c_0| = 1
          * @f]
          * @see Complex::dot(), normalized()
+         * @todoc Improve the equation as in Complex::isNormalized()
          */
         bool isNormalized() const {
             return Implementation::isNormalizedSquared(lengthSquared());

src/Math/DualQuaternion.h

@@ -139,6 +139,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      |\hat q|^2 = |\hat q| = 1 + \epsilon 0
          * @f]
          * @see lengthSquared(), normalized()
+         * @todoc Improve the equation as in Quaternion::isNormalized()
          */
         bool isNormalized() const {
             /* Comparing dual part classically, as comparing sqrt() of it would

src/Math/Quaternion.h

@@ -164,7 +164,7 @@ template<class T> class Quaternion {
          * @brief Whether the quaternion is normalized
          *
          * Quaternion is normalized if it has unit length: @f[
-         *      |q|^2 = |q| = 1
+         *      |q \cdot q - 1| < 2 \epsilon + \epsilon^2 \cong 2 \epsilon
          * @f]
          * @see dot(), normalized()
          */

src/Math/Vector.h

@@ -224,7 +224,7 @@ template<std::size_t size, class T> class Vector {
          * @brief Whether the vector is normalized
          *
          * The vector is normalized if it has unit length: @f[
-         *      |\boldsymbol a|^2 = |\boldsymbol a| = 1
+         *      |\boldsymbol a \cdot \boldsymbol a - 1| < 2 \epsilon + \epsilon^2 \cong 2 \epsilon
          * @f]
          * @see dot(), normalized()
          */