تناظر انتقالي

التناظر الانتقالي Translational symmetry في الهندسة الرياضية هو اللاتباين لجسم أو مجموعة معادلات عندما يخضع لتحويل عام ما.

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الهندسة

أمثلة

النص

An example of translational symmetry in one direction in 2D nr. 1) is:

Note: The example is not an example of rotational symmetry.

example example
  example example
    example example
      example example

(get the same by moving one line down and two positions to the right), and of translational symmetry in two directions in 2D (wallpaper group p1):

* |* |* |* |
 |* |* |* |*
|* |* |* |*
* |* |* |* |
 |* |* |* |*
|* |* |* |*

(get the same by moving three positions to the right, or one line down and two positions to the right; consequently get also the same moving three lines down).

In both cases there is neither mirror-image symmetry nor rotational symmetry.

التفاضل والتكامل

The Fourier transform with subsequent computation of absolute values is a translation-invariant operator.
The mapping from a polynomial function to the polynomial degree is a translation-invariant functional.
The Lebesgue measure is a complete translation-invariant measure.

انظر أيضا

المصادر

Stenger, Victor J. (2000) and MahouShiroUSA (2007). Timeless Reality. Prometheus Books. Especially chpt. 12. Nontechnical.