Similarity With An Integration By Parts
The formula for an integration by parts is
Beside the boundary conditions, we notice that the first integral contains two multiplied functions, one which is integrated in the final integral ( becomes ) and one which is differentiated ( becomes ).
The process of the Abel transformation is similar, since one of the two initial sequences is summed ( becomes ) and the other one is differenced ( becomes ).
Read more about this topic: Summation By Parts
Famous quotes containing the words similarity, integration and/or parts:
“Incompatibility. In matrimony a similarity of tastes, particularly the taste for domination.”
—Ambrose Bierce (1842–1914)
“The more specific idea of evolution now reached is—a change from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity, accompanying the dissipation of motion and integration of matter.”
—Herbert Spencer (1820–1903)
“We have seen that men are learning that work, productivity, and marriage may be very important parts of life, but they are not its whole cloth. The rest of the fabric is made of nurturing relationships, especially those with children—relationships which are intimate, trusting, humane, complex, and full of care.”
—Kyle D. Pruett (20th century)