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A. Glide reflection b. Orientation of points c. Parallelism of lines d. Areas of polygons
Invariants are points that remain the same under certain transformations. You could plug the points into your transformation and note that what does in is the same as what comes out. The details depend on the transformation.
A Zeuthen-Segre invariant is an invariant of complex projective surfaces.
the invarient point is the points of the graph that is unaltered by the transformation. If point (5,0) stays as (5,0) after a transformation than it is a invariant point The above just defines an invariant point... Here's a method for finding them: If the transformation M is represented by a square matrix with n rows and n columns, write the equation; Mx=x Where M is your transformation, and x is a matrix of order nx1 (n rows, 1 column) that consists of unknowns (could be a, b, c, d,.. ). Then just multiply out and you'll get n simultaneous equations, whichever values of a, b, c, d,... satisfy these are the invariant points of the transformation
I think you mean the centrifugal force. That force points outwards from the center of rotation.
Yes. Technically this can be explained due to the laws of physics being invariant under spatial translations.
The earth's axis of rotation points directly at the celestial pole.
In special relativity, the invariant quantities, such as the speed of light and the spacetime interval, remain the same for all observers. This means that these quantities do not change regardless of the relative motion between observers. It is a fundamental principle of special relativity that these invariants are preserved in all inertial reference frames.
The north and south poles.
sun spots
rotation along its axis points
A set function (or setter) is an object mutator. You use it to modify a property of an object such that the object's invariant is maintained. If the object has no invariant, a setter is not required. A get function (or getter) is an object accessor. You use it to obtain a property from an object such that the object's invariant is maintained. If the object has no invariant, you do not need a getter.