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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. Electronic color code - Wikipedia

    en.wikipedia.org/wiki/Electronic_color_code

    A 2.26 kΩ, 1%-precision resistor with 5 color bands (), from top, 2-2-6-1-1; the last two brown bands indicate the multiplier (×10) and the tolerance (1%).. An electronic color code or electronic colour code (see spelling differences) is used to indicate the values or ratings of electronic components, usually for resistors, but also for capacitors, inductors, diodes and others.

  4. Rodrigues' rotation formula - Wikipedia

    en.wikipedia.org/wiki/Rodrigues'_rotation_formula

    Rodrigues' rotation formula. In the theory of three-dimensional rotation, Rodrigues' rotation formula, named after Olinde Rodrigues, is an efficient algorithm for rotating a vector in space, given an axis and angle of rotation. By extension, this can be used to transform all three basis vectors to compute a rotation matrix in SO (3), the group ...

  5. Lie bracket of vector fields - Wikipedia

    en.wikipedia.org/wiki/Lie_bracket_of_vector_fields

    The Lie bracket is an R - bilinear operation and turns the set of all smooth vector fields on the manifold M into an (infinite-dimensional) Lie algebra . The Lie bracket plays an important role in differential geometry and differential topology, for instance in the Frobenius integrability theorem, and is also fundamental in the geometric theory ...

  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. Representation theory - Wikipedia

    en.wikipedia.org/wiki/Representation_theory

    Representation theory studies how algebraic structures "act" on objects. A simple example is how the symmetries of regular polygons, consisting of reflections and rotations, transform the polygon. Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations ...

  9. Lie–Kolchin theorem - Wikipedia

    en.wikipedia.org/wiki/Lie–Kolchin_theorem

    In mathematics, the Lie–Kolchin theorem is a theorem in the representation theory of linear algebraic groups; Lie's theorem is the analog for linear Lie algebras . It states that if G is a connected and solvable linear algebraic group defined over an algebraically closed field and. a representation on a nonzero finite-dimensional vector space ...

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