What does a quaternion represent?

A quaternion represents two things. It has an x, y, and z component, which represents the axis about which a rotation will occur. It also has a w component, which represents the amount of rotation which will occur about this axis. In short, a vector, and a float.

What even is a quaternion?

Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space, or, equivalently, as the quotient of two vectors. In modern mathematical language, quaternions form a four-dimensional associative normed division algebra over the real numbers, and therefore also a domain.

What are quaternions of soldiers?

A group of four soldiers in the Roman legion.

What is a quaternion in the Bible?

noun. a group or set of four persons or things. Bookbinding.

Can quaternions be negative?

Representing rotations using quaternions A rotation is represented in a quaternion form by encoding axis–angle information. Negating q results in a negative rotation around the negative of the axis of rotation, which is the same rotation represented by q (Eq. 2.30).

What are quaternions in Bible?

noun. a group or set of four persons or things. Bookbinding. four gathered sheets folded in two for binding together.

Are quaternions still used?

Quaternions are vital for the control systems that guide aircraft and rockets. Let us think of an aircraft in flight. Changes in its orientation can be given by three rotations known as pitch, roll and yaw, represented by three arrays of numbers called matrices.

What are 4 squads soldiers?

…in an army is the squad, which contains 7 to 14 soldiers and is led by a sergeant. (A slightly larger unit is a section, which consists of 10 to 40 soldiers but is usually used only within headquarters or support organizations.) Three or four squads make up a platoon,…

What does smote mean?

Smote is the past tense form of the verb smite, which is most frequently used to mean “to strike sharply or heavily especially with the hand or with something held in the hand,” or “to kill or severely injure by striking in such a way.” Smite has two past participle forms (the form used with have and be), smitten and …