Abel's Test - Abel's Test in Real Analysis

Famous quotes containing the words test, real and/or analysis:

“The face we see was never young,
Nor could it ever have been old.

For he, to whom we had applied
Our shopman’s test of age and worth,
Was elemental when he died,
As he was ancient at his birth:”
—Edwin Arlington Robinson (1869–1935)

“The real dividing line between early childhood and middle childhood is not between the fifth year and the sixth year—it is more nearly when children are about seven or eight, moving on toward nine. Building the barrier at six has no psychological basis. It has come about only from the historic-economic-political fact that the age of six is when we provide schools for all.”
—James L. Hymes, Jr. (20th century)

“Analysis as an instrument of enlightenment and civilization is good, in so far as it shatters absurd convictions, acts as a solvent upon natural prejudices, and undermines authority; good, in other words, in that it sets free, refines, humanizes, makes slaves ripe for freedom. But it is bad, very bad, in so far as it stands in the way of action, cannot shape the vital forces, maims life at its roots. Analysis can be a very unappetizing affair, as much so as death.”
—Thomas Mann (1875–1955)