In Mathematics
- Proof by exhaustion, proof by examining all individual cases
- Exhaustion by compact sets, in analysis, a sequence of compact sets that converges on a given set
- Collectively exhaustive, in probability and set theory, a collection of sets whose union equals the complete space
- Method of exhaustion, in geometry, finding the area of a shape by approximating it with polygons
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Famous quotes containing the word mathematics:
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)
“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”
—Walter Reisch (1903–1963)