Proceedings of the National Academy of Sciencesâ€¦

1970

Having measured D numerical properties of a physical object E which requires many more than D parameters for its complete specification, an observer seeks to estimate P other numerical properties ofâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1975

From the gross conservation laws of thermodynamics in a convecting material we derive a bound on the ratio of the rate of production of mechanical or magnetic energy to the rate of internalâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1970

Having measured D numerical properties of a physical object E which requires many more than D parameters for its complete specification, an observer seeks to estimate P other numerical properties ofâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1970

Having measured D numerical properties of a physical object E which requires many more than D parameters for its complete description, we want to estimate P other numerical properties of E.â€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1987

Every isotropic probability measure on the space R(infinity) of real sequences x = (x(1), x(2),...) is a convex combination of the measure concentrated at 0 and a member of I(0)(R(infinity)), the setâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1979

Suppose P is a pth degree real polynomial function in n variables and f=PS(n-1) is the restriction of P to the unit sphere S(n-1) in R(n). Bernstein's inequality asserts that ([unk](0) (k)f)(2) +â€¦ (More)