Relationship To The Exponential Function
From the definitions of the hyperbolic sine and cosine, we can derive the following identities:
and
These expressions are analogous to the expressions for sine and cosine, based on Euler's formula, as sums of complex exponentials.
Read more about this topic: Hyperbolic Function
Famous quotes containing the words relationship to, relationship and/or function:
“Film music should have the same relationship to the film drama that somebodys piano playing in my living room has to the book I am reading.”
—Igor Stravinsky (18821971)
“If one could be friendly with women, what a pleasurethe relationship so secret and private compared with relations with men. Why not write about it truthfully?”
—Virginia Woolf (18821941)
“Think of the tools in a tool-box: there is a hammer, pliers, a saw, a screwdriver, a rule, a glue-pot, nails and screws.The function of words are as diverse as the functions of these objects.”
—Ludwig Wittgenstein (18891951)