In mathematics, the capacity of a set in Euclidean space is a measure of that set's "size". Unlike, say, Lebesgue measure, which measures a set's volume or physical extent, capacity is a mathematical analogue of a set's ability to hold electrical charge. More precisely, it is the capacitance of the set: the total charge a set can hold while maintaining a given potential energy. The potential energy is computed with respect to an idealized ground at infinity for the harmonic or Newtonian capacity, and with respect to a surface for the condenser capacity.
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Famous quotes containing the words capacity of, capacity and/or set:
“Rice and peas fit into that category of dishes where two ordinary foods, combined together, ignite a pleasure far beyond the capacity of either of its parts alone. Like rhubarb and strawberries, apple pie and cheese, roast pork and sage, the two tastes and textures meld together into the sort of subtle transcendental oneness that we once fantasized would be our experience when we finally found the ideal mate.”
—John Thorne, U.S. cookbook writer. Simple Cooking, “Rice and Peas: A Preface with Recipes,” Viking Penguin (1987)
“Becoming more flexible, open-minded, having a capacity to deal with change is a good thing. But it is far from the whole story. Grandparents, in the absence of the social institutions that once demanded civilized behavior, have their work cut out for them. Our grandchildren are hungry for our love and approval, but also for standards being set.”
—Eda Le Shan (20th century)
“I have heard, in such a way as to believe it, of your recently saying that both the Army and the Government needed a Dictator. Of course it was not for this, but in spite of it, that I have given you the command. Only those generals who gain success, can set up dictators.”
—Abraham Lincoln (1809–1865)