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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.
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.
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 ...
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.
In these cases the Lie algebra parameters have names: angle, hyperbolic angle, and slope. These species of angle are useful for providing polar decompositions which describe sub-algebras of 2 x 2 real matrices. There is a classical 3-parameter Lie group and algebra pair: the quaternions of unit length which can be identified with the 3-sphere.
In mathematics, specifically the theory of Lie algebras, Lie's theorem states that, [1] over an algebraically closed field of characteristic zero, if is a finite-dimensional representation of a solvable Lie algebra, then there's a flag of invariant subspaces of with , meaning that for each and i . Put in another way, the theorem says there is a ...
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 ...
25-pair color code chart used in certain kinds of wiring. A color code is a system for encoding and representing non-color information with colors to facilitate communication. This information tends to be categorical (representing unordered/qualitative categories) though may also be sequential (representing an ordered/quantitative variable).