Parameter
A parameter 
used in Elliptic Integrals defined to be 
, where 
is theModulus. An Elliptic Integral is written 
when the parameter isused. The complementary parameter is defined by
 | (1) |
is the parameter. Let 
be the Nome, the Modulus, and the Parameter. Then | (2) |
is the complete Elliptic Integral of the First Kind. Then the inverse of 
is given by | (3) |
is a Theta Function.See also Amplitude, Characteristic (Elliptic Integral), Elliptic Integral, Elliptic Integral of theFirst Kind, Modular Angle, Modulus (Elliptic Integral), Nome, Parameter, Theta Function
References
Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 590, 1972.
- Incircle
- Inclusion-Exclusion Principle
- Inclusion Map
- Incommensurate
- Incomplete Gamma Function
- Incompleteness
- Increasing Function
- Increasing Sequence
- Indefinite Integral
- Indefinite Quadratic Form
- Indegree
- Independence Axiom
- Independence Complement Theorem
- Independence Number
- Independent Equations
- Independent Sequence
- Independent Statistics
- Independent Vertices
- Indeterminate Problems
- Index
- Index Set
- Index Theory
- Indicatrix
- Indicial Equation
- Indifference Principle