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2. Truncus (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Truncus_(mathematics)

   The basic truncus y = 1 / x 2 has asymptotes at x = 0 and y = 0, and every other truncus can be obtained from this one through a combination of translations and dilations. For the general truncus form above, the constant a dilates the graph by a factor of a from the x -axis; that is, the graph is stretched vertically when a > 1 and compressed ...

3. Dilation (metric space) - Wikipedia

   en.wikipedia.org/wiki/Dilation_(metric_space)

   In Euclidean space, such a dilation is a similarity of the space. [2] Dilations change the size but not the shape of an object or figure. Every dilation of a Euclidean space that is not a congruence has a unique fixed point [3] that is called the center of dilation. [4] Some congruences have fixed points and others do not. [5]

4. Carnot group - Wikipedia

   en.wikipedia.org/wiki/Carnot_group

   A Carnot (or stratified) group of step is a connected, simply connected, finite-dimensional Lie group whose Lie algebra admits a step-stratification. Namely, there exist nontrivial linear subspaces V 1 , ⋯ , V k {\displaystyle V_{1},\cdots ,V_{k}} such that

5. Length contraction - Wikipedia

   en.wikipedia.org/wiki/Length_contraction

   In the second method, times and are not equal due to time dilation, resulting in different lengths too. The deviation between the measurements in all inertial frames is given by the formulas for Lorentz transformation and time dilation (see Derivation). It turns out that the proper length remains unchanged and always denotes the greatest length ...

6. Dilation (morphology) - Wikipedia

   en.wikipedia.org/wiki/Dilation_(morphology)

   Dilation (usually represented by ⊕) is one of the basic operations in mathematical morphology. Originally developed for binary images, it has been expanded first to grayscale images, and then to complete lattices. The dilation operation usually uses a structuring element for probing and expanding the shapes contained in the input image.

7. Dilaton - Wikipedia

   en.wikipedia.org/wiki/Dilaton

   The field equations are amenable to such a generalization, as shown with the inclusion of a one-graviton process, [6] and yield the correct Newtonian limit in d dimensions, but only with a dilaton. Furthermore, some speculate on the view of the apparent resemblance between the dilaton and the Higgs boson . [ 7 ]