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 the, relationship to, relationship and/or function:
“... the Wall became a magnet for citizens of every generation, class, race, and relationship to the war perhaps because it is the only great public monument that allows the anesthetized holes in the heart to fill with a truly national grief.”
—Adrienne Rich (b. 1929)
“Sometimes in our relationship to another human being the proper balance of friendship is restored when we put a few grains of impropriety onto our own side of the scale.”
—Friedrich Nietzsche (18441900)
“If the relationship of father to son could really be reduced to biology, the whole earth would blaze with the glory of fathers and sons.”
—James Baldwin (19241987)
“To look backward for a while is to refresh the eye, to restore it, and to render it the more fit for its prime function of looking forward.”
—Margaret Fairless Barber (18691901)