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  2. Inelastic mean free path - Wikipedia

    en.wikipedia.org/wiki/Inelastic_mean_free_path

    Universal curve for the electron inelastic mean free path in elements based on equation (5) in. [1] If a monochromatic , primary beam of electrons is incident on a solid surface, the majority of incident electrons lose their energy because they interact strongly with matter , leading to plasmon excitation, electron-hole pair formation, and ...

  3. Electron energy loss spectroscopy - Wikipedia

    en.wikipedia.org/wiki/Electron_energy_loss...

    Here mfp is the mean free path of electron inelastic scattering, which has been tabulated for most elemental solids and oxides. [ 14 ] The spatial resolution of this procedure is limited by the plasmon localization and is about 1 nm, [ 6 ] meaning that spatial thickness maps can be measured in scanning transmission electron microscopy with ~1 ...

  4. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name. A commutative diagram depicting the five lemma

  5. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    [4] Given a commutative diagram of objects and morphisms between them, if one wishes to prove some property of the morphisms (such as injectivity) which can be stated in terms of elements, then the proof can proceed by tracing the path of elements of various objects around the diagram as successive morphisms are applied to it.

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  9. Embedding - Wikipedia

    en.wikipedia.org/wiki/Embedding

    In other words, the domain of an embedding is diffeomorphic to its image, and in particular the image of an embedding must be a submanifold. An immersion is precisely a local embedding , i.e. for any point x ∈ M {\displaystyle x\in M} there is a neighborhood x ∈ U ⊂ M {\displaystyle x\in U\subset M} such that f : U → N {\displaystyle f ...

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