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 somebody’s piano playing in my living room has to the book I am reading.”
—Igor Stravinsky (1882–1971)
“Poetry is above all a concentration of the power of language, which is the power of our ultimate relationship to everything in the universe.”
—Adrienne Rich (b. 1929)
“No one, however powerful and successful, can function as an adult if his parents are not satisfied with him.”
—Frank Pittman (20th century)