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MEAN (MongoDB, Express.js, AngularJS (or Angular), and Node.js) [1] is a source-available JavaScript software stack for building dynamic web sites and web applications. [2] A variation known as MERN replaces Angular with React.js front-end, [3] [4] and another named MEVN use Vue.js as front-end.
Every rotation in three dimensions is defined by its axis (a vector along this axis is unchanged by the rotation), and its angle — the amount of rotation about that axis (Euler rotation theorem). There are several methods to compute the axis and angle from a rotation matrix (see also axis–angle representation ).
Rotation formalisms are focused on proper (orientation-preserving) motions of the Euclidean space with one fixed point, that a rotation refers to.Although physical motions with a fixed point are an important case (such as ones described in the center-of-mass frame, or motions of a joint), this approach creates a knowledge about all motions.
It is also diffeomorphic to the real 3-dimensional projective space (), so the latter can also serve as a topological model for the rotation group. These identifications illustrate that SO(3) is connected but not simply connected. As to the latter, in the ball with antipodal surface points identified, consider the path running from the "north ...
Version 8 of Angular introduced a new compilation and rendering pipeline, Ivy, and version 9 of Angular enabled Ivy by default. Angular 13 removed the deprecated former compiler, View Engine. [21] Angular 14 introduced standalone components and Angular 17 made them the default, de-emphasizing the use of modules.
It differs from individual-rotation model. Lab-rotation model: The student rotates to a brick and mortar computer lab for online learning station. Flipped-classroom model: In this, the students rotate on a fixed schedule or at a teacher's discretion across the classroom learning and online learning after the school hours.
The effect is a rotation with uniform angular velocity around a fixed rotation axis. When the initial end point is the identity quaternion, slerp gives a segment of a one-parameter subgroup of both the Lie group of 3D rotations, SO(3), and its universal covering group of unit quaternions, S 3. Slerp gives a straightest and shortest path between ...
As described in the tennis racket theorem, rotation of an object around its first or third principal axis is stable, while rotation around its second principal axis (or intermediate axis) is not. The motion is simplified in the case of an axisymmetric body, in which the moment of inertia is the same about two of the principal axes.