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  2. List of electronic color code mnemonics - Wikipedia

    en.wikipedia.org/wiki/List_of_electronic_color...

    The first letter of the color code is matched by order of increasing magnitude. The electronic color codes, in order, are: 0 = Black; 1 = Brown; 2 = Red; 3 = Orange; 4 = Yellow; 5 = Green; 6 = Blue; 7 = Violet; 8 = Gray; 9 = White; Easy to remember. A mnemonic which includes color name(s) generally reduces the chances of confusing black and brown.

  3. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    Weinberg angle θ W, and relation between coupling constants g, g′, and e. Adapted from T D Lee's book Particle Physics and Introduction to Field Theory (1981). Due to the Higgs mechanism , the electroweak boson fields W 1 {\displaystyle W_{1}} , W 2 {\displaystyle W_{2}} , W 3 {\displaystyle W_{3}} , and B {\displaystyle B} "mix" to create ...

  4. Root system - Wikipedia

    en.wikipedia.org/wiki/Root_system

    e. In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental in the theory of Lie groups and Lie algebras, especially the classification and representation theory of semisimple Lie algebras.

  5. Chord (geometry) - Wikipedia

    en.wikipedia.org/wiki/Chord_(geometry)

    Chord (geometry) A chord (from the Latin chorda, meaning "bowstring") of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. The perpendicular line passing through the chord's midpoint is called sagitta (Latin for ...

  6. Conformal map - Wikipedia

    en.wikipedia.org/wiki/Conformal_map

    In mathematics, a conformal map is a function that locally preserves angles, but not necessarily lengths. More formally, let and be open subsets of . A function is called conformal (or angle-preserving) at a point if it preserves angles between directed curves through , as well as preserving orientation. Conformal maps preserve both angles and ...

  7. E series of preferred numbers - Wikipedia

    en.wikipedia.org/wiki/E_series_of_preferred_numbers

    The E series is a system of preferred numbers (also called preferred values) derived for use in electronic components. It consists of the E3, E6, E12, E24, E48, E96 and E192 series, [1] where the number after the 'E' designates the quantity of logarithmic value "steps" per decade. Although it is theoretically possible to produce components of ...

  8. Lie algebra - Wikipedia

    en.wikipedia.org/wiki/Lie_algebra

    In mathematics, a Lie algebra (pronounced / liː / LEE) is a vector space together with an operation called the Lie bracket, an alternating bilinear map , that satisfies the Jacobi identity. In other words, a Lie algebra is an algebra over a field for which the multiplication operation (called the Lie bracket) is alternating and satisfies the ...

  9. Four color theorem - Wikipedia

    en.wikipedia.org/wiki/Four_color_theorem

    A four-colored map of the states of the United States (ignoring lakes and oceans) In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of ...