In number theory, "'Meyer's theorem "'on quadratic forms states that an indefinite quadratic form " Q " in five or more variables over the field of rational numbers nontrivially represents zero.
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In the theory of quadratic forms, the parabola is the graph of the quadratic form ( or other scalings ), while the elliptic paraboloid is the graph of the positive-definite quadratic form ( or scalings ) and the hyperbolic paraboloid is the graph of the indefinite quadratic form.
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He was trained as an engineer at the �cole Polytechnique ( entering class of 1910 ), served in the French Signal Corps during World War I, worked on telegraph and radio systems, and in 1926 received a doctorate in mathematics from the Sorbonne, having written a thesis on indefinite quadratic forms under the supervision of Charles �mile Picard.
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