Singular Value
A Modulus 
such that
where
is a complete Elliptic Integral of the First Kind, and 
. TheElliptic Lambda Function 
gives the value of .Abel 
(quoted in Whittaker and Watson 1990, p. 525) proved that if 
is an Integer, or more generally whenever
where
, 
, 
, 
, and 
are Integers, then the Modulus 
is the Root of an algebraic equation with Integer Coefficients.See also Elliptic Integral Singular Value, Elliptic Integral of the First Kind, Elliptic Lambda Function,Modulus (Elliptic Integral)
References
Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, pp. 524-528, 1990.
- Midrange
- Midsphere
- Midy's Theorem
- Mikusinski's Problem
- Milin Conjecture
- Mill
- Miller-Askinuze Solid
- Miller Cylindrical Projection
- Miller's Algorithm
- Miller's Primality Test
- Miller's Solid
- Milliard
- Millin Series
- Million
- Mills' Constant
- Milne's Method
- Milnor's Conjecture
- Milnor's Theorem
- Minimal Cover
- Minimal Discriminant
- Minimal Matrix
- Minimal Residue
- Minimal Set
- Minimal Surface
- Minimax Approximation