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2. Rotation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Rotation_(mathematics)

   The rotation group is a Lie group of rotations about a fixed point. This (common) fixed point or center is called the center of rotation and is usually identified with the origin. The rotation group is a point stabilizer in a broader group of (orientation-preserving) motions. For a particular rotation: The axis of rotation is a line of its ...

3. Rotor (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Rotor_(mathematics)

   In mathematics, a rotor in the geometric algebra of a vector space V is the same thing as an element of the spin group Spin(V).We define this group below. Let V be a vector space equipped with a positive definite quadratic form q, and let Cl(V) be the geometric algebra associated to V.

4. Rotation of axes in two dimensions - Wikipedia

   en.wikipedia.org/wiki/Rotation_of_axes_in_two...

   In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .

5. Quaternions and spatial rotation - Wikipedia

   en.wikipedia.org/wiki/Quaternions_and_spatial...

   A rotation can be represented by a unit-length quaternion q = (w, r →) with scalar (real) part w and vector (imaginary) part r →. The rotation can be applied to a 3D vector v → via the formula = + (+). This requires only 15 multiplications and 15 additions to evaluate (or 18 multiplications and 12 additions if the factor of 2 is done via ...

6. Curl (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Curl_(mathematics)

   The curl of the vector field at any point is given by the rotation of an infinitesimal area in the xy-plane (for z-axis component of the curl), zx-plane (for y-axis component of the curl) and yz-plane (for x-axis component of the curl vector). This can be seen in the examples below.

7. Israeli strikes kill dozens in Gaza, Egypt to host Hamas ...

   www.aol.com/news/israeli-tanks-retreat-central...

   CAIRO (Reuters) -Israeli military strikes killed at least 40 Palestinians overnight and on Friday in the Gaza Strip, medics said, as efforts to revive Gaza ceasefire talks received a boost with ...

8. Rotation matrix - Wikipedia

   en.wikipedia.org/wiki/Rotation_matrix

   Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...

9. Think You're Too Old to Stop Smoking? Here Are My Tips for ...

   www.aol.com/think-youre-too-old-stop-165700303.html

   Nicotine Replacement Therapy. Among your NRT options are nicotine pouches and patches. Pouches directly supply low doses of nicotine through oral absorption.