Characteristic

# Characteristic

Discussion
 Ask a question about 'Characteristic' Start a new discussion about 'Characteristic' Answer questions from other users Full Discussion Forum

Encyclopedia
Characteristic may refer to:

In physics and engineering, any characteristic curve that shows the relationship between certain input and output parameters, for example:
• I-V or current-voltage characteristic
Current-voltage characteristic
A currentâ€“voltage characteristic is a relationship, typically represented as a chart or graph, between an electric current and a corresponding voltage, or potential difference.-In electronics:...

, the current in a circuit as a function of the applied voltage
• Receiver operating characteristic
In signal detection theory, a receiver operating characteristic , or simply ROC curve, is a graphical plot of the sensitivity, or true positive rate, vs. false positive rate , for a binary classifier system as its discrimination threshold is varied...

• Light characteristic, pattern of a lighted beacon

In mathematics:
• Characteristic (algebra)
Characteristic (algebra)
In mathematics, the characteristic of a ring R, often denoted char, is defined to be the smallest number of times one must use the ring's multiplicative identity element in a sum to get the additive identity element ; the ring is said to have characteristic zero if this repeated sum never reaches...

of a ring R, a number that describes what happens to integers when interpreted in R
• Characteristic function (disambiguation), usually the indicator function of a subset, though the term has other meanings in specific domains
• Characteristic polynomial
Characteristic polynomial
In linear algebra, one associates a polynomial to every square matrix: its characteristic polynomial. This polynomial encodes several important properties of the matrix, most notably its eigenvalues, its determinant and its trace....

, a polynomial associated to a square matrix in linear algebra
• Euler characteristic
Euler characteristic
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent...

, a topological invariant
• Characteristic subgroup
Characteristic subgroup
In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is invariant under all automorphisms of the parent group. Because conjugation is an automorphism, every characteristic subgroup is normal, though not every normal...

, a subgroup that is invariant under all automorphisms in group theory
• Method of characteristics
Method of characteristics
In mathematics, the method of characteristics is a technique for solving partial differential equations. Typically, it applies to first-order equations, although more generally the method of characteristics is valid for any hyperbolic partial differential equation...

, a technique for solving partial differential equations
• Characteristic, integer part of a common logarithm
Common logarithm
The common logarithm is the logarithm with base 10. It is also known as the decadic logarithm, named after its base. It is indicated by log10, or sometimes Log with a capital L...

In fiction:
• Another name for ability score in Dungeons & Dragons