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List of electronic color code mnemonics Mnemonics are used to help memorize the electronic color codes for resistors. Mnemonics describing specific and relatable scenarios are more memorable than abstract phrases.
Electronic color code. Appearance. A 2.26 kΩ, 1%-precision resistor with 5 color bands ( E96 series ), 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 ...
Stars and bars (combinatorics) In the context of combinatorial mathematics, stars and bars (also called "sticks and stones", [1] "balls and bars", [2] and "dots and dividers" [3]) is a graphical aid for deriving certain combinatorial theorems. It can be used to solve many simple counting problems, such as how many ways there are to put n ...
Pythagorean trigonometric identity 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.
Cayley graph. In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, [1] is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named after Arthur Cayley ), and uses a specified set of generators for the group.
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. Since Lie groups (and some analogues such as algebraic groups) and Lie algebras have become important in many parts ...
Lie point symmetry is a concept in advanced mathematics. Towards the end of the nineteenth century, Sophus Lie introduced the notion of Lie group in order to study the solutions of ordinary differential equations [1] [2] [3] (ODEs). He showed the following main property: the order of an ordinary differential equation can be reduced by one if it ...
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 ...