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  2. Morphism - Wikipedia

    en.wikipedia.org/wiki/Morphism

    A monomorphism can be called a mono for short, and we can use monic as an adjective. [1] A morphism f has a left inverse or is a split monomorphism if there is a morphism g : Y → X such that g ∘ f = id X. Thus f ∘ g : Y → Y is idempotent; that is, (f ∘ g) 2 = f ∘ (g ∘ f) ∘ g = f ∘ g. The left inverse g is also called a ...

  3. Mathematical morphology - Wikipedia

    en.wikipedia.org/wiki/Mathematical_morphology

    Mathematical Morphology was developed in 1964 by the collaborative work of Georges Matheron and Jean Serra, at the École des Mines de Paris, France.Matheron supervised the PhD thesis of Serra, devoted to the quantification of mineral characteristics from thin cross sections, and this work resulted in a novel practical approach, as well as theoretical advancements in integral geometry and ...

  4. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    [2] [3] [a] In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some transformations, such as translation, reflection, rotation, or scaling. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in ...

  5. Structuring element - Wikipedia

    en.wikipedia.org/wiki/Structuring_element

    In mathematical morphology, a structuring element is a shape, used to probe or interact with a given image, with the purpose of drawing conclusions on how this shape fits or misses the shapes in the image.

  6. Granulometry (morphology) - Wikipedia

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

    In mathematical morphology, granulometry is an approach to compute a size distribution of grains in binary images, using a series of morphological opening operations. It was introduced by Georges Matheron in the 1960s, and is the basis for the characterization of the concept of size in mathematical morphology.

  7. Demonic dad allegedly beheads 1-year-old son with knife after ...

    www.aol.com/demonic-dad-allegedly-beheads-1...

    A demonic California dad has been arrested for allegedly beheading his 1-year-old son Friday in an early-morning frenzy of violence that also injured his wife and her mother, according to police.

  8. The Key to Actually Quitting Bad Habits - AOL

    www.aol.com/key-actually-quitting-bad-habits...

    Psychologists explain the evolutionary role of dopamine, the truth about dopamine detoxes and how you can really put an end to bad habits.

  9. HIV isn't the death sentence it once was: How related deaths ...

    www.aol.com/hiv-isnt-death-sentence-once...

    Death rates fell among highly affected HIV subpopulations. Medical breakthroughs have reduced death rates for Americans with HIV, including groups that are disproportionately affected by the virus.