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root, in mathematics

(Encyclopedia)root, in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function. If f is a polynomial, r is called a root of f; for example, r=3 and r=−4 are roots of th...

set, in mathematics

(Encyclopedia)CE5 Union and intersection of sets A and B: The union of A and B, A∪B, contains all members belonging to either A or B. The intersection of A and B, A∩B, contains all members common to both A a...

proof, in mathematics

(Encyclopedia)proof, in mathematics, finite sequence of propositions each of which is either an axiom or follows from preceding propositions by one of the rules of logical inference (see symbolic logic). Mathematic...

formula, in mathematics and physics

(Encyclopedia)formula, in mathematics and physics, equation expressing a definite fixed relationship between certain quantities. The quantities are usually expressed by letters, and their relationship is indicated ...

Cantor, Georg

(Encyclopedia)Cantor, Georg gāˈôrkh känˈtôr [key], 1845–1918, German mathematician, b. St. Petersburg. He studied under Karl Weierstrass and taught (1869–1913) at the Univ. of Halle. He is known for his w...

Miller, George Abram

(Encyclopedia)Miller, George Abram, 1863–1951, American mathematician, b. Lehigh co., Pa., grad. Muhlenberg College (B.A., 1887), Ph.D. Cumberland Univ., 1893. He was professor at the Univ. of Illinois (1907–31...

Bolzano, Bernard

(Encyclopedia)Bolzano, Bernard bōltsäˈnō [key], 1781–1848, Czech philosopher, mathematician, and theologian. Though as a Catholic priest he himself was primarily concerned with religious and ethical questions...

Wiener, Norbert

(Encyclopedia)Wiener, Norbert, 1894–1964, American mathematician, educator, and founder of the field of cybernetics, b. Columbia, Mo., grad. Tufts College, 1909, Ph.D. Harvard, 1913. In 1920 he joined the faculty...

Hopkins, William

(Encyclopedia)Hopkins, William, 1793–1866, English geologist. Hopkins studied mathematics at Cambridge, and then supported himself as a private mathematics tutor. Many of England's best mathematicians and mathema...

Barnard, Frederick Augustus Porter

(Encyclopedia)Barnard, Frederick Augustus Porter, 1809–89, American educator and mathematician, b. Sheffield, Mass., grad. Yale, 1828. After tutoring at Yale and teaching in institutions for the deaf and mute, he...