Sentence examples for mathematical foundations for from inspiring English sources

His textbook "Mathematical Foundations for Social Analysis" (Bobbs-Merrill, 1965) described the mathematical underpinnings for such analyses.

Dr Nambu, who was at the University of Chicago, provided the mathematical foundations for understanding the spontaneous breaking of symmetries in fundamental physics.

Another pioneer was Nyquist's colleague R.V.L. Hartley, whose paper "Transmission of Information" (1928) established the first mathematical foundations for information theory.

His idea of combining the three dimensions of physical space with that of time into a four-dimensional "Minkowski space"—space-time laid the mathematical foundationspace-time laidnsthen's special theory of relativity.

In the 1920s the American zoologist Raymond Pearl, the American chemist and statistician Alfred J. Lotka, and the Italian mathematician Vito Volterra developed mathematical foundations for the study of populations, and these studies led to experiments on the interaction of predators and prey, competitive relationships between species, and the regulation of populations.

Thus the mathematical foundations for calculating approximately the eigenvalues and eigenvectors in fluid-structure interaction systems are presented.

Valiant's most-notable paper, "A Theory of the Learnable" (1984), provided a mathematical foundation for describing how a computer could learn.

Riemann's ideas went further and turned out to provide the mathematical foundation for the four-dimensional geometry of space-time in Einstein's theory of general relativity.

The Nobel Prize for Physics for 1999 was awarded to two Dutch researchers, Gerardus 't Hooft and Martinus J.G. Veltman, for their contributions toward a firmer mathematical foundation for particle physics theory.

A mathematical foundation for the electroweak theory was lacking, however, and in 1969 Veltman and 't Hooft began working to change, or "renormalize," it into a workable theory free of nonsensical infinite quantities.

September 17, 1826 Breselenz, Germany July 20 , 1866Selasca, Italy Bernhard Riemann, in full Georg Friedrich Bernhard Riemann (born September 17, 1826, Breselenz, Hanover [Germany] died July 20 , 1866 Selasca, Italy) German mathematician whose profound and novel approaches to the study of geometry laid the mathematical foundation for Albert Einstein's theory of relativity.