The Bessel function of the first kind is an entire function if is an integer, otherwise it is a multivalued function with singularity at zero.
22.
In particular, using the Knaster-Tarski principle one can develop the theory of global attractors for noncontractive discontinuous ( multivalued ) iterated function systems.
23.
As functions of a complex variable, inverse hyperbolic functions are multivalued functions that are arcs ( usually half lines or line segments ) have been removed.
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If a is not a positive real then log ( a ) is multivalued . talk ) 05 : 30, 31 December 2012 ( UTC ).
25.
Branch cuts allow one to work with a collection of single-valued functions, " glued " together along the branch cut instead of a multivalued function.
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Besides the fixed-point theorems for more or less Schauder's fixed-point theorem, a result generalized further by S . Kakutani to multivalued functions.
27.
The convention will be used here that a capital first letter is used for the principal value of functions and the lower case version refers to the multivalued function.
28.
As Northrop reports in " Science and First Principles ", ( pp . 251 252 ) concept-by-intuition blue is a multivalued relation.
29.
More generally, working with complex numbers, the solution may be multivalued-- see complex logarithm . talk ) 14 : 50, 20 August 2010 ( UTC)
30.
However, due to the multivalued nature of complex power functions for non-integer exponents, one must be careful to specify the branch of the complex logarithm being used.
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