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  1. 16 hours ago · Complex number. A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i2 = −1. In mathematics, a complex number is an element of a number system ...

  2. en.wikipedia.org › wiki › QuaternionQuaternion - Wikipedia

    16 hours ago · Conjugation by a unit quaternion (a quaternion of absolute value 1) with real part cos(φ) is a rotation by an angle 2φ, the axis of the rotation being the direction of the vector part. The advantages of quaternions are: Avoiding gimbal lock, a problem with systems such as Euler angles. Faster and more compact than matrices.

  3. 16 hours ago · NEW YORK (AP) — A prosecutor accused Sen. Bob Menendez on Tuesday of engaging in “wildly abnormal” behavior in response to bribes during a closing argument at the Democrat’s New York City corruption trial. Assistant U.S. Attorney Paul Monteleoni made the accusation as he continued a summation he began a day earlier before a Manhattan ...