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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. 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 ...

  5. Ramsey's theorem - Wikipedia

    en.wikipedia.org/wiki/Ramsey's_theorem

    Ramsey's theorem states that there exists a least positive integer R(r, s) for which every blue-red edge colouring of the complete graph on R(r, s) vertices contains a blue clique on r vertices or a red clique on s vertices. (Here R(r, s) signifies an integer that depends on both r and s .) Ramsey's theorem is a foundational result in ...

  6. 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 ...

  7. Point in polygon - Wikipedia

    en.wikipedia.org/wiki/Point_in_polygon

    Contents. Point in polygon. In computational geometry, the point-in-polygon ( PIP) problem asks whether a given point in the plane lies inside, outside, or on the boundary of a polygon. It is a special case of point location problems and finds applications in areas that deal with processing geometrical data, such as computer graphics, computer ...

  8. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions. The identity is. As usual, means .

  9. 25-pair color code - Wikipedia

    en.wikipedia.org/wiki/25-pair_color_code

    A common application of the 25-pair color code is the cabling for the Registered Jack interface RJ21, which uses a female 50-pin miniature ribbon connector, as shown in the following table. The geometry of the pins of the receptacle (right hand image) corresponds to the pin numbers of the table.